Answers
By simplifying 8 to 23 to make both powers base two and subtracting the exponents.
Explain how the Quotient of Powers property was used to simplify this expression?The Quotient of Powers property is used to simplify an expression with two powers, or exponents, that have the same base. To simplify this expression, first find the quotient of the bases.In this case, the bases of both powers are 8, so the quotient is 8/8 or 1. Then cancel out any common factors. 8/8 cancels out to 1, leaving the expression as 2^3/2^5.Next, simplify the expression further by making both powers have the same base. Since the base of the first power is two, we can simplify 8 to 23 to make the base of the second power two. This leaves us with 2^3/2^8.Finally, use the Quotient of Powers property to simplify the expression by subtracting the exponents. The subtraction results in 2^3-2^5, which simplifies to 2^-2. This is the simplified version of the expression.To learn more about the Quotient of Powers Property refer to:
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Related Questions
A subway system has six stations, A, B, C, D, E, and F, where trains only run from:
A to B B to A B to c
C to D D to B D to E F to A F to E F to C E to D
Passengers can transfer to different trains within a station.
Which station is unreachable by train from any other station?
Answers
A metro station, often referred to as a subway station, is a railway stop for a rapid transit system, also known as a "metro" or "subway" in its whole.
What is the Subway transfer stations ?Several different types of transfer stations can be found in the New York City Subway:
When two or more stations are linked by a corridor inside fare control, the area is referred to as a station complex. When counting every station individually, there are 472 in the New York City Subway. There are 424 total stations when station complexes are treated as one station each.Two or more lines are served by the station. The MTA classifies it as one station, regardless of whether it has many levels or platforms next to one another. A station typically has one line to which each track belongs.Two or more services are provided by the station. Tracks may be shared between different services. You can find a list of New York City subway stations instead of these stations in this article.The Complete Question is Subway transfer stations.
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A
Chapter 7
Chapter 13
Chapter 11
allows sole proprietors the option to repay debt
allows businesses to sell off assets to repay debt
provides the option to restructure and
continue business operations
Reset
Next
Answers
The main variations essentially come down to liquidation vs. reorganization and debt restructuring.
what is variations ?A relationship exists between a set of values for one variable and a set of values for another variable. directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b . Equations used to express the connection between two variables in a sentence convey the variation between those variables. Direct, inverse, joint, and combination variations are a few types of variation.
Here,
Given :
Businesses frequently choose to file for bankruptcy under Chapter 7 or Chapter 11, respectively.
The main variations essentially come down to liquidation vs. reorganization and debt restructuring.
Large corporations use Chapter 11 to reorganize their debts and carry on with operations. If a chapter 7 bankruptcy is filed, corporations, partnerships, and limited liability firms cannot restructure under chapter 13 and must stop operating.
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The complete question is "In a sole proprietor ownership, if business assets are not enough to pay business debts, then personal assets, such as the sole proprietor's house, personal investments, and retirement plans can be used to pay the debt. This is called ?"
what is the answer to 2x3
Answers
Answer: 6
Step-by-step explanation:
Explanation: 2 rows of 3 in each row is 6 in total
Make the proportional relationship
Answers
Answer:
see explanation
Step-by-step explanation:
a proportional relationship has equation
y = kx ← k is the constant of proportion
using the ordered pair (2, 3 ) from the table , then
3 = 2k ( divide both sides by 2 )
1.5 = k
y = 1.5x ← equation of proportion
when x = 14 , then
y = 1.5 × 14 = 21
table is then
x | 0 2 8 14
y | 0 3 12 21
i need help pls i tired to do but cant seem to get it
Answers
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{x\leq y,\ \ \ -\infty < y < 1.5} \atop {x < -y+3,\ \ \ 1.5 < y < \infty}} \right.[/tex]
How much will be charged in prepaid interest on a $400,000 loan with an APR of 6% that was closed on December
17th?
Answers
Answer: To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.
In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.
Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.
To calculate the prepaid interest, we can use the following formula:
Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)
In this case, the number of days from December 17th to the end of the month is 14.
Prepaid Interest = ($400,000 x 0.06) x (14 / 365)
Prepaid Interest = $24,000 x 0.038
Prepaid Interest = $912
So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
Step-by-step explanation:
The solution is, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
What is Prepaid interest?Prepaid interest is the interest that is paid in advance on a loan, typically at closing. It is a way to cover the interest on the loan from the date the loan closes to the end of the month.
here, we have,
To calculate the prepaid interest on a loan, we need to know the annual percentage rate (APR) and the loan amount, as well as the date the loan was closed.
In this case, the loan amount is $400,000, the APR is 6%, and the loan was closed on December 17th.
To calculate the prepaid interest, we can use the following formula:
Prepaid Interest = (Loan Amount x APR) x (Number of Days from Closing to End of Month / 365)
In this case, the number of days from December 17th to the end of the month is 14.
Prepaid Interest = ($400,000 x 0.06) x (14 / 365)
Prepaid Interest = $24,000 x 0.038
Prepaid Interest = $912
So, the prepaid interest on a $400,000 loan with an APR of 6% that was closed on December 17th will be $912.
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I NEED HELP ASAP!!!!!!!!!!!!!!
Answers
The first option 3² × 5 × 7 is the correct option to show the prime factorization of 315 in exponential notation.
What is prime factorizationPrime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the the number.
The 1st five prime numbers includes: 2, 3, 5, and 7. We shall divide the number 315 with prime numbers that are factors beginning with 3;
315/3 = 105
105/3 = 35
3 is not a factor of 35, the next prime number 5 is, so;
35/5 = 7
3 is not a factor of 7 the next prime number 7 is, so;
7/7 = 1
Therefore, the number 315 expressed as product of its prime factors in exponential notation is 315 = 3² × 5 × 7.
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16 over 10 = n + 2 over 5
Answers
16/10 need to be divided by 2 to get 8/5
8/5=n+2/5
N need to be moved to the other side by subtracting it.
8/5-n=2/5
2/5 need to be moved to the other side by
subtracting it.
-n=2/5-8/5
We need to subtract 2/5 and 8/5 to get the answer before it is solved .
—n=-6/5
We need to change the negative signs to positive signs.
N=6/5
Alternatively, 6/5 is equivalent to 1 1/5 or 1.2.
Hope that helps .
Mick's zoo offers a promotional deal: get a free $3 cotton candy and a free $2 soda with the purchase of five $12 admission tickets. A group of 20 students will each purchase a ticket. If half of them want cotton candy and ¼ of them want soda, how many dollars would they save by using the promotional deal?
(please answer and explain!!!!!!)
Answers
By using the promotional deal the kids saved 20 dollars.
What is a promotional deal?Simply put, a promotion is a discounted product or service that you already have available on your website or that you want to offer. We re-promote it, and the consumer can view it and be directed to the Merchant's website, location, or phone number – no online transaction is necessary.
A promotion is frequently a recurring event that happens weekly or daily to draw more people to a particular day. It doesn't necessitate an online transaction but does include some sort of discount or added value. A promotion may be accessible online for several days, weeks, months, or even years.
When you buy 5 $12 admission tickets you get a free $3 cotton candy and a free $2 soda
A group of 20 buys each $12 admission tickets, i.e
20/5
= 4 promotional deal
All together they are eligible for 4 promotion deal.
They get 4 $3 cotton candy and 4 $2 soda
= $12 + $8
= $20
Half of them want cotton candy = 20/2
= 10
¼ of them want soda = 20/4
= 5
10 × $3 cotton candy
= $30
5 × $2 soda
= $10
Total $40
Dollars the save = $40 - $20
= $20
Thus, By using the promotional deal the kids saved 20 dollars.
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Perimeter: 80 meters
Answers
Answer:
Nice
Step-by-step explanation:
What is 11/2 times 1 1/2
Please help thanks : )
Answers
Answer: 30 1/4 (Fully Reduced)
121/4 (Not reduced)
Step-by-step explanation:
Hope this helps! :)
im not quite sure what this is6(x+4)+1
Answers
The answer would be 6x+25.
For this, we have to use the Distributive Property, which allows us to multiply the numbers inside of the parenthesis.
-----------------------------------------------------------------------------
So you would do 6•x which equals 6x. And then do 6•4 which equals 24. Your equation currently should be 6x+24+1. Lastly, add 24 and 1 to get your final answer of 6x+25.
I hope this helped :)
Answer:
6x + 25
Step-by-step explanation:
im not quite sure what this is6(x+4)+1
6(x + 4) + 1 (6*x = 6x and 6 * 4 = 24)
6x + 24 + 1
6x + 25
Suppose we want to choose 3 letters without replacement from the 4 letters A B C and D how many ways can this be done if the order of the choices matter
Answers
A) If the Permutation occurs when order of choices matters will be; 24 ways
B) If the Combination occurs when order of choices doesn't matter will be; 4 ways
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
Assume that we want to choose 3 letters without replacement from the 4 letters A B C and D.
a) Permutation occurrs when order of choices matters;
N = 4P3 = 4!/(4-3)! = 4!/1!
N = 24 ways
b) Combination occurs when order of choices doesn't matter;
N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)
N = 4 ways
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this meal costs $29.00. A 7%sales tax is applied, followed by an automatic tip of 18%. What is the total with tax an d tip
Answers
The total cost of the meal with tax and tip is $31.8246.
What is a tax?A tax is a mandatory fee or financial charge that any government imposes on a person or a business in order to raise money for public projects that fund the best facilities and infrastructure. Different public expenditure programmes are then funded with the money raised.
Under the established law, there will be serious repercussions if one does not pay taxes or does not contribute.
7% sale tax applied on meal costing $29.00,
29 - 29 × 0.07
= 29 - 2.03
= 26.97
An automatic tip of 18% is applied
26.97 + 26.97 × 0.18
= 26.97 + 4.8546
= $31.8246
Thus, total cost of the meal with tax and tip is $31.8246.
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Integers and rational numbers
(Picture attached)
Answers
People can be represented by the signed number -28,000.
A car corporation represented by the signed number 1720.
How can the population decrease of a city be represented using a signed number?Population decrease refers to a decline in the number of individuals in a population over a given period of time. It can be caused by factors such as death, migration, and low birth rates.The population of a certain city decreased by 28,000 people can be represented by the signed number -28,000. The negative sign indicates that the population decreased, while the number 28,000 represents the magnitude of the decrease.A car corporation produced 1720 more cars this month than last can be represented by the signed number 1720.The positive sign indicates that the production increased, while the number 1720 represents the magnitude of the increase.To learn more about population refer:
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in one week, a music store sold 9 guitars for a total of $3611. electric guitars sold for $479 each and acoustic guitars sold for $339 each. how many of each type of guitar were sold?
part a: define the variables
part b: write a system of equations to represent the situation
part c: solve the system to find how many of each type of guitar were sold
Answers
At the electric store, 4 electric guitars and 5 acoustic guitars were sold
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Let x represent the number of electric guitars and y represent the acoustic guitars.
electric guitars sold for $479 each and acoustic guitars sold for $339 each. in one week, a music store sold 9 guitars for a total of $3611, hence:
x + y = 9 (1)
Also:
479x + 339y = 3611 (2)
From both equations:
x = 4, y = 5
4 electric guitars and 5 acoustic guitars were sold
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Consider the two triangles shown below. Which of the triangle congruence theorems could be used to prove the triangles congruent without establishing any additional information?
A: SAS
B: SSA
C: SSS
D: HL
Answers
By HL congruence, triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider the given triangles as ABC and DEF.
From the given triangles,
AC=DF=14 in.
BC=EF=20 in.
∠A=∠D=90°
The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
By HL congruence, ΔABC ≅ ΔDEF
Therefore, option D is the correct answer.
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each of 35 samples has a different standard deviation how many can be from thesame population
Answers
Answer:
33
Step-by-step explanation:
There are always chances so you never know where the samples could be from. The answer 33 makes the most logical sense.
Amir is trying to decide between two savings account plans at two different banks. He finds that Bank A offers a quarterly compounded interest rate of 0.95%, while Bank B offers 3.75% interest compounded annually. Which is the better plan? Explain.
Answers
The better plan is offered by bank B.
What is the compound interest?We know that the compound interest that we get on investment is the kind of interest that would be obtain when we consider not only the principal but also the interest on the investment.
Now we know that in the case of Bank A the interest rate that is offered by the bank is 0.95% while for the bank B the interest rate is 3.75%. We can see that the formula for the compound interest is;
A = P(1 + r/n)^nt
A = amount
P = principal
r = rate
t = time
n = Number of times compound.
The lesser the number of times compounded and the higher the percentage the higher the amount at the end of the given time.
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2. The Accounting Students Association (ASA) at your college has decided to raise funds by selling three types of T-shirt: one with a single-color “ordinary” design, one with a two-color “fancy” design, and one with a three-color “very fancy” design. The association feels that. it can sell up to 300 T-shirts. “Ordinary” T-shirts will cost the association $6 each, “fancy” T-shirts $8 each, and “very fancy” T- shirts $10 each, and the association has a total purchasing budget of $3,000. It will sell “ordinary” T- shirts at a profit of $4 each, “fancy” T-shirts at a profit of $5 each, and “very fancy” T-shirts at a profit of $4 each. How many of each kind of T-shirt should the association order to maximize profit? What is the maximum profit the club can make? [Using Simplex method
Answers
The Accounting Students Association (ASA) at your campus has chosen to sell three different sorts of T-shirts to earn money.
What is the maximum profit of the club ?A single-color "regular" design, a two-color "fancy" design, and a three-color "very fancy" design are the three T-shirt options that the Accounting Students Association (ASA) at your college has chosen to sell in order to raise money.
According to the association, 300 T-shirts could be sold. The association's entire purchasing budget is $3,000, and it will spend $6 on "ordinary" T-shirts, $8 on "fancy" T-shirts, and $10 on "extremely fancy" T-shirts. The company plans to make a profit of $4 on "regular" T-shirts, $5 on "fancy" T-shirts, and $4 on "extremely fancy" T-shirts while selling them. Profit = Total Revenue - Total Cost is a key component of the profit maximization formula.
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39 The entry in a reference book about
moose shows the following figure.
If the figure in the book is 1 inches tall,
what is the actual height of the moose?
A
B
C
D
E
Scale = 50
3 feet 2 inches
4 feet 2 inches
5 feet 0 inches
5 feet 5 inches
6 feet 3 inches
Answers
50 inches is 4ft 2
Hope this helps so B
Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and improper fractions in simplest form for the algebraic solution.
6x + y = 2
x - 4y = 2
The estimated solution is ( , ).
The algebraic solution is ( , ).
Answers
The solution of the system of equation is as follows:
x = 2 / 5 and y = - 2 / 5.
How to solve system of equation?System of equation can be solved using different method such as elimination method and substitution method.
Let's solve the system of equation by substitution method.
6x + y = 2
x - 4y = 2
Hence,
x = 2 + 4y
substitute the value of x in equation(i)
6(2 + 4y) + y = 2
12 + 24y + y = 2
12 + 25y = 2
25y = 2 - 12
25y = - 10
y = -10 / 25
y = - 2 / 5
Hence, let's find the value of x
6x = 2 - y
6x = 2 + 2 / 5
6x = 10 + 2/ 5
6x = 12 / 5
x = 12 / 5 × 1 /6
x = 12 / 30
x = 2 / 5
Therefore,
x = 2 / 5 and y = - 2 / 5
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What is the slope of the linear relationship?
A graph of a linear function that decreases from left to right passing through the points negative 2 comma 3 and 2 comma 0.
negative four thirds
four thirds
negative three fourths
three fourths
Answers
The slope of the line is negative three fourths. option C
What is slope of a line?You should know that slope is the rate of change of y with respect to x. We can equally say that slope is the rise over run or an increase in y over an increase in x vice versa.
The given coordinates for the computation of the slope are
(-2,3) and (2,0)
The formula for slope is
m= (y₂ -y₁)/(x₂-x₁)
This implies that the slope of the line is
m=(0-3)/(2+2)
m= -3/4
In conclusion, the slope of the line is negative three fourths
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Answer:
c: -3/4
Step-by-step explanation:
A swimmer dove below the surface of the ocean. After 2 minutes, she was 12 meters below the surface. At what rate was she diving?
a: -12+x=2
b: 2+x=-12
c: -2x=-12
d: 2x=-12
Answers
The equation of the rate of swimmer diving is b)2+x=-12.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here according to the given after 2 minutes, she was 12 meters below the surface.
Then let us take x as the total timing of the dove below then,
after 2 minutes then
=> x+ 2
Swimmer is 12 meters below the surface then
=> x+2 = -12.
Hence the correct option is b)2+x=-12.
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Question
Baskets of tomatoes cost $5 each and bags of onions cost $4 each. A customer purchases x baskets of tomatoes and y bags of onions.
What does the expression 5x + 4y represent?
Responses
Answers
Answer: The expression 5x + 4y represents the total cost of the purchase for x baskets of tomatoes and y bags of onions. The 5x term represents the cost of the tomatoes (5 dollars per basket) and the 4y term represents the cost of the onions (4 dollars per bag). The sum of these two terms represents the total cost of the purchase.
Step-by-step explanation:
Answer: 5 x represents that a customer has to pay 5 dollars for x bags of tomatoes and 4 y represents a customer has to pay 4 bags dollars for y bags of onions
Step-by-step explanation: since a customer wants to purchase x or y bags of something we can plug in the cost to see that that is what they represent
NEED HELP ASAP PLS AND THX Picture is attached
Answers
The difference between collinear and coplanar is that collinear points line on the same line and coplanar lie on the same plane.
What is Colinear and Coplanar?On a single straight line, collinear points are located. A scalar multiple of two collinear vectors can also be used to represent them. If the two vectors p and q are collinear, then p=kq, where k is a scalar value We will now talk about coplanar, which refers to objects that are on the same plane and can be said to be coplanar.
Whether we use points or vectors, the terms "collinear" and "coplanar" are properties that can be utilised in a variety of situations..
CollinearThings with only one line can be said to be collinear. They are collinear points and collinear vectors and can be for both points and vectors.On a single straight line, collinear points are located. A scalar multiple of two collinear vectors can also be used to represent them.If p→,q→
are two collinear vectors then p→=kq→
where k
is a scalar number.
CoplanarWe will now talk about coplanar, which refers to objects that are on the same plane and can be said to be coplanar. It applies to both coplanar points and coplanar vectors, and it is possible for both.On a single plane, coplanar points are located. Coplanar vectors can also be depicted as their own linear combination.If p→,q→,r→
are three coplanar vectors then p→=mq→+nr→
where m,n
are scalar numbers.
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If GJ = IJ and GH = 79, what is HI?
G
}
I
H
Answers
The value of side HI = GH, so the value of HI = 79.
What are similar triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of objects whose shapes are similar to one another.
Given that,
GJ = IJ and the value of GH = 79
We observe that the GI is the perpendicular bisector, hence the value of GH = GJ.
The triangle IGH and triangle IGJ are similar using the SAS criteria as:
GH = GJ
IG = IG
and angle IGH = angle IGJ
Hence, side HI = GH, so the value of HI = 79.
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The correct question is:
The value of side HI = GH, then the value of HI = 79.
What is meant by similar triangles?Two triangles are comparable if they have an equivalent number of corresponding sides and corresponding angles.
Items with the same shape but different sizes, such as two or more figures, are referred to as similar figures. One example of an object with a similar shape to another is a bicycle wheel. Another is a hula hoop.
Let the values be GJ = IJ and the value of GH = 79
Since the GI is the perpendicular bisector, GH = GJ is the result.
Using the SAS condition GH = GJ, the triangles IGH and IGJ are similar.
IG = IG and angle IGH = angle IGJ
Therefore, the side HI = GH, so the value of HI = 79.
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8. Find the smallest positive number when dividing by three the remainder is 2, when
dividing by seven, the remainder is 5, and when dividing by eleven, the remainder is 3.
9. An account executive receives a base salary plus commission. On $20,000 in monthly
sales, an account executive would receive compensation of $2700. On $50,000 in
monthly sales, an account executive would receive compensation of $4500. Determine a
linear model that gives the compensation of a sales executive for x dollars in monthly
sales. Use the model to determine the compensation of an account executive who has
$85,000 in monthly sales.
10. Consider a 10-mg injection of an antibiotic into the bloodstream. After 8 hours, the
amount of antibiotic in the blood is about 6.3 mg. Determine an exponential model for
the decay of the antibiotic in the bloodstream. Round your rate to two decimal places.
a. After 12 hours from injection, how much antibiotic remains?
b. How long will it take for there to be only 1.0 mg of the antibiotic in the
bloodstream?
Answers
The smallest positive integer by using the trial and error method will be 47.
What is meant by trial and error method?
Trial and error is a fundamental method of Problem solving. It is characterized by repeated, varied attempts which are continued until success, or until the agent stops trying. Until getting the right answer the problem is repeated through various steps. This type of problem solving is called trial and error method.
Now
since the numbers are small, trial and error works.
Consider those numbers which are of the form 11x+3 :- 3, 14, 25, 36, 47, 58, 69, 80, 102, 113, 124, 146, 168, 179, 190, 212, 223
From given number find the number which when divided by 3 gives remainder 2 and when divided by 7 gives remainder 5 and the smallest number will be our answer.
From given numbers 47 is the smallest positive integer which satisfies given conditions.
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Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than what he read on the first day. If he has read the entire book that contains 458 pages in three days, write and solve an equation which models the given scenario and can be used to determine the number of pages he read on day one. Show work algebraically.
Answers
Let x represent the number of pages Aiden read on day one.
On day two he read twice the number of pages, so 2x represents the number of pages he read on day two.
On the third day, he read 6 pages less than what he read on the first day, so x - 6 represents the number of pages he read on day three.
The total number of pages he read in three days is the sum of the pages he read on each day:
x + 2x + (x - 6) = 458
3x - 6 = 458
3x = 464
x = 154
Aiden read 154 pages on day one.
If g = -2 and h = 1, what is 3h - g ?
Answers
Answer:
5
Step-by-step explanation:
Substitute:
3*(1)--2
3+2
5
Answer: 5
Step-by-step explanation:
3h - g = 3*1 - (-2) = 3 - (-2) = 5