Answer:
-22 1/3
Step-by-step explanation:
We should start by subtracting both sides of the equality by 21.
After doing this, we get that -67=3m.
Furthermore, we can divide both sides by 3 and get -67/3=m.
However, this is an improper fraction, not a mixed number.
If we divide -67 by 3, we get -22 1/3.
Therefore, m= -22 1/3
Solve. −1 − 10x < −1
The solution to the inequality is x > 0
What is Inequality?Inequality in mathematics differentiate two values, if one is less than, greater than, or not equal to another value
Evaluate the equation by letting the unknow to be on one side
−1 − 10x < −1
-10x < -1+1
Add +1 to both sides
= -1-10x+1 < -1+1
= -10x < 0
Divide both sides by -10 same factor and flip the relation because of negative factor
= -10x /-10 > 0/-10
= x > 0
Therefore the solution to the inequality is x>0
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When you answer, could you just put the letter of the number you have? Thank you.
In the given triangle KLM with coordinates K(0,2) ,L(2 ,9) ,M(4,2), the sets of points which represent the dilation from the origin is K'(0,8), L'(8, 36) , M'(16, 8) multiply by scale factor 4.
As given in the question,
In the given triangle KLM,
Coordinates of the triangle KLM are given by :
K(0,2) ,L(2 ,9) ,M(4,2)
Dilation from the origin is represented by:
a. K'(0,2) , L'(8,9) , M'(16, 2)
Dilation scale factor does not effect on all the coordinates .
Not a correct option.
b. K'(0,2) , L'(2,36) , M'(16, 2)
Dilation scale factor does not effect on all the coordinates .
Not a correct option.
c. K'(0,8) , L'(8,36) , M'(16, 8)
Multiply by scale factor 4.
Dilation exist.
d. K'(4,6) , L'(6,13) , M'(8, 6)
Scale factor of addition of 4.
Dilation does not exist.
Therefore, in the given triangle KLM with coordinates K(0,2) ,L(2 ,9) ,M(4,2), the sets of points which represent the dilation from the origin is K'(0,8), L'(8, 36) , M'(16, 8) multiply by scale factor 4.
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A flower shop sells bouquets in a basic
arrangement and in a deluxe arrangement.
The table shows the sales of each type for
d days.
Arrangement
Basic
Deluxe
Cost ($)
17
25
Number Sold
8d-7
3d +6
Part A Write an expression that represents the difference between the number of basic
arrangements and deluxe arrangements sold.
Part B The store sells more basic arrangements than deluxe arrangements. After 7 days,
how much money will the store have earned on the number of basic arrangements that
exceeds the number of deluxe arrangements? Explain how you found your answer.
Part A: The formula 5d-13 indicates the distinction between the quantity of basic arrangements and deluxe arrangements sold.
Part B: The difference between the money the store made from basic arrangements and deluxe arrangements is $158.
What does an expression mean?An expression, also known as a mathematical expression, in mathematics is a finite combination of symbols that are well-formed in accordance with principles that depend on the context. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, grouping, and integers (constants) to help with logical grammar and operation ordering.
Part A: (8d-7)-(3d+6)
=8d-7-3d-6
=5d-13
Part B: For 7 days, d=7
Cost No. of sold
Basic 17 8(7)-7=49
Deluxe 25 3(7)+6=27
Therefore, Basic=17*49=$833
Deluxe=25*27=$675
Difference=833-675=158
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students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. the students collect a random sample of 46 students. the mean of the sample is 12.5 units. the sample has a standard deviation of 1.8 units. what is the 95% confidence interval for the average number of units that students in their college are enrolled in? assume that the distribution of individual student enrollment units at this college is approximately normal.
The 95% confidence interval for the average number of units that students in their college are enrolled in is (11.46,12.53)
We are given the number of students, n = 46, and the mean of the sample which is x= 12.5, and the standard deviation of the sample which is s= 1.8 , the formula we are referring to for calculating the confidence interval which is :
x ± t (s/√(n))
since for this case, the degree of freedom is one less than the mean, which is 45, the critical value for the confidence of 95% with the degree of freedom of 45 is 2.015
x + t(s/√(n)) = 12.5 +2.015*(1.8/6.78)= 12.53
x - t(s/√(n))= 12.5 -2.015*(1.8/6.78)= 11.46
The interval is (11.46,12.53)
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Multiply and simply: (4 - 3i) (2 + i)
Answer:
11 - 2i
Step-by-step explanation:
Given expression:
[tex](4-3i)(2+i)[/tex]
Expand:
[tex]\implies 4(2+i)-3i(2+i)[/tex]
[tex]\implies 8+4i-6i-3i^2[/tex]
[tex]\implies 8-2i-3i^2[/tex]
Apply the imaginary number rule i² = -1 :
[tex]\implies 8-2i-3(-1)[/tex]
Simplify:
[tex]\implies 8-2i+3[/tex]
[tex]\implies 11-2i[/tex]
Step-by-step explanation:
well, when 2 summed teens are multiplied, every part of one term is multiplied with every part of the other term :
(4 - 3i)(2 + i) = 8 + 4i - 6i - 3i² = 8 - 2i + 3 = 11 - 2i
Solve for n:-
[tex]\sf n - 3n = 14 - 4n[/tex]
Answer:
n = 7
Step-by-step explanation:
The equation is,
→ n - 3n = 14 - 4n
Now the value of n will be,
→ n - 3n = 14 - 4n
→ -2n = 14 - 4n
→ -2n + 4n = 14
→ 2n = 14
→ n = 14/2
→ [ n = 7 ]
Hence, the value of n is 7.
Look at the triangles. What information is needed to prove that △ABC∼△DEF?
Options are listed at the bottom
Looking at the triangles, the information needed to prove that ABC∼△DEF is AC = 10
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
AB and DE, BC and FE, then AC and DF
The solution is worked out using sides BC and FE, then AC and DF
BC / AC = FE / DF
8 / AC = 16 / 20
reducing the fraction 16/20 gives
8 / AC = 8 / 10
hence AC = 10
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help I don't understand it
3x+4=9x+3
Answer:
x = 1/6.
Step-by-step explanation:
3x+4=9x+3
STEP 1: Subtract 4 from both sides...
3x+4 -4 = 9x+3 -4
3x = 9x-1
STEP 2: Subtract 9x from both sides...
3x - 9x = 9x-1 -9x
-6x = -1
STEP 3: Divide both sides by -6x...
-6x / -6x = -1/ -6x
x = 1/6x.
REMEMBER: 2 negatives are equal to positive.
Identify the correct property of equality to solve each equation. 3 x = 27 x 6 = 5
The correct property of equality to solve each equation. 3 + x = 27 and x + 6 = 5 is subtraction property of equality.
The property of equality defines an equivalence relationship between two variables. The subtraction property of equality refers to the property that two sides of the equation remain equal when the same number is subtracted from both sides of an equation. According to the subtraction property of equality, if two quantities a and b are equal, and if c is subtracted from both a and b, then the difference of a and c and the difference of b and c are equal. Hence, if a = b, a – c = b – c. Using the subtraction property of equality:
3 + x = 27
3 + x -3 = 27 - 3
x = 24
Similarly,
x + 6 – 6 = 5 – 6
x = -1
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Answer:
3+x=27
✔ subtraction property of equality with 3
x/6 = 5
✔ multiplication property of equality with 6
Step-by-step explanation:
How do you use distributive property to answer (15x6) + (85x6)
Answer:
600
Step-by-step explanation:
You want to use distributive property to answer (15x6) + (85x6).
Distributive propertyThe distributive property shows you what you can do with a common factor:
(15×6) + (85×6) = (15 +85)×6 . . . . . . apply the distributive property
= 100 × 6 . . . . . . evaluate the sum in parentheses
= 600 . . . . . . perform the multiplication
Catseby ran up 16 flights of stairs. Write an integer to represent this situation
Zero means ????
Answer: 16
Step-by-step explanation:
I need help please!
Answer:
All answers other than {7, 11, 15, 19}
Step-by-step explanation:
If we have a Set A, it is a subset of Set B if every element in A is also in B. Set A is a proper subset of Set B if it is a subset of Set B but not equal to Set B.
Using the above information, we know that the proper subset of {7, 11, 15, 19} cannot be itself, so we can rule out the second option.
All of the other options are sets where every element of that set is also an element of {7, 11, 15, 19}. The 3rd option is an empty set, which is a proper subset of any set other than itself, so it is a proper subset of {7, 11, 15, 19}.
Therefore, all of the options except for {7, 11, 15, 19} are valid.
you would like to create a rectangular vegetable patch with an area of 32 sq. ft. to grow oranges. the fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. what are the dimensions of the vegetable patch with the least expensive fence? let the variable x denote the length of the east and west sides of the garden and let the variable y denote the length of the north and south sides of the garden. you and your friends individually set up a solution for the optimization problem using these variables. who set up the problem properly?
The maximum and minimum measurements are 5 and -3 respectively.
f ( x ) = -x^3 +3x^2+ 45 x + 10
f' l x ) = 0
0 = - 3x^2 +6x +45
x = 5,- 3.
f ( 4 ) = - ( 4 )^3+ 3( 4 )^ 2 + 45 ( 4 ) + 10 = 174
f ( - 4 ) = - ( - 4 )^3 + 3( - 4 )^2 + 45(- 4) + 10 = - 58
f ( - 3 ) = -(- 3 )^3 + 3 ( - 3)^2 + 45 (- 3) + 10 = - 7 1
+ ( 5 ) = -(5)^3 + 3(5 )^2 +45(5)+ 10 = 185
Absolute maximum = maxis{ f(4 ),f(5),f(-4),f( - 3 )}
= 185 at x=5
Absolute mininum=minis{f(4 ),f(5),f(-4),f( - 3 )}
= - 71 at x= -3
In light of this, the maximum and minimum values are 5 and -3, respectively.
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Write each ratio as a fraction in simplest form.
11 1/3 out of 50 2/3
Answer:
[tex]\frac{17}{76}[/tex]
Step-by-step explanation:
expressing the ratio in fractional form
[tex]\frac{11\frac{1}{3} }{50\frac{2}{3} }[/tex] ← change mixed number to improper fractions
= [tex]\frac{\frac{34}{3} }{\frac{152}{3} }[/tex] ( multiply numerator and denominator by 3 )
= [tex]\frac{34}{152}[/tex] ( divide numerator and denominator by 2 )
= [tex]\frac{17}{76}[/tex] ← in simplest form
Peter puts $300.00 into an account to use for school expenses. The account earns 8%
interest, compounded annually. How much will be in the account after 10 years?
Replace the star astrict (*) with a digit that allows you to reduce the fraction. If there are two * in the same fraction, replace them with the same digit. Find all possible values of * in each fraction. This is the one that I got stumped in...
12*/23* This is a fraction. Fill it in. Remember, you have to fill it in, so it can get reduced.
Please answer by 3:00PM Pacific time Sunday november 6th 2022
The star asterisk in the fraction 12*/23* is being replaced by all the possible values as outlined
1 to be 11/21
2 to be 61/116
4 to be 62/117
5 to be 25/47
6 to be 63/118
8 to be 64/119
0 to be 12/23
What are fractions?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a chunk or section taken from a whole, which can be any number, and can represent any amount.
The fractions with different numerators and denominators when compared with another fraction but the same value with the fraction are said to be equivalent fractions.
The asterisk value is replaced with digit in each case, and the fraction formed is reduced to their equivalent forms as below
12*/23* * replaced by 1 and reduced to be 11/21
12*/23* * replaced by 2 and reduced to be 61/116
12*/23* * replaced by 4 and reduced to be 62/117
12*/23* * replaced by 5 and reduced to be 25/47
12*/23* * replaced by 6 and reduced to be 63/118
12*/23* * replaced by 8 and reduced to be 64/119
12*/23* * replaced by 0 and reduced to be 12/23
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x+3y+z=-8
4x-2y-z=-9
5x+3y+2z=-19
please help me with this
That aint no question
ets
d and simplify these
4(a + 8) =
4(a + 8)
multiply out:
= 4a + 32
Please Help me with this (ASAP) 20 POINTS
The value of y when x = -2, 0,2 is 1/49, 7, 49.
Simplification is an algebraic expression is when we utilize a range of approaches to make algebraic expressions more efficient and compact - in their simplest form - without changing the value of the original expression.
Given function y =[tex]7^{x}[/tex]
We have to determine the y values when x = -2, 0, 2
Now substitute the x values in the given function
If x = -2 then
Y = 7(-2)
Y = 1/49
If x = 0 then
Y = 7(0)
Y = 1
If x = 2 then
Y = 7(2)
Y = 49
Therefore the value of y when x = -2, 0 ,2 is 1/49, 7 , 49
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John is in charge of feeding the pigs and cows on the farm. The cow's food costs twice as much as the pig's food. There are 46 cows and 22 pigs on the farm. John has a $860 budget for food a month. How much can John spend on food for each cow per month?
I tried solving this and got some random answer like $7.5432... per pig. Please Help
The cost of feed for a cow in a month is $15.08
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)
Similarly the ratio of the cost of cow's food to pig is 2:1
represent the cost of feed of a cow by x and the cost of feed for a pig to be y
therefore x= 2y
there are 46 cows, therefore the cost of feed for 46 cows is 46x
there are 22 pigs, therefore the cost of pig is 22y
46x+22y= 860
representing 2y for x
46(2y)+22y= 860
114y= 860
y= 860/114
y=$ 7.54
recall x=2y
x= 7.54×2= $15.08
therefore $15.08 is spent on a cow in a month
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Drag the tiles to the correct boxes. Not all tiles will be used.
Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.
Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.
See photo below. Comment for more clarification.
Adam's Bikes rents bikes for $19 plus $8 per hour. Nicole paid
$67 to rent a bike. For how many hours did she rent the bike?
Answer:
6 hours.
Step-by-step explanation:
Subtract initial fee from total. (67 - 19 = 48).
Divide by the hourly rate. (48 / 8 = 6).
The bike was rented for 6 hours.
what is the answer to this question?
3 5/6+ (-1 1/6)=
Bobby bought 3 T-shirts at the mall
and a pair of pants for $16 at the
clothing store. All together he spent $28
for the clothes. How much was each
shirt?
Answer: $4
Step-by-step explanation: we know he spent 28 dollars in total and 16 of those was on a pair of pants so we can subtract 16 from 28 to get 12
we also know he bought 3 shirts in total and because 12/3=4 each shirt must have cost 4 dollars.
We can check the answer by combining the price of the shirts (12)
with the price of the pants (16) because 12+16=28 we know the cost of each shirt has to be $4.
Answer:
Each shirt was 4 dollars.
Step-by-step explanation:
28 - 16 = 12. 12 divided by 3 = 4.
One online bookstore charges $10 per book and $8 for shipping. Another online bookstore charges $12 per book and offers free shipping. For what number of books is the cost the same ?
Answer:
The number of books bought in each store would be 4 The amount spent will be the same in either store.
Step-by-step explanation:
Comment
The question has to make the assumption that no matter how many books are bought from store 1, the shipping charge is 8 dollars. Otherwise there is no solution.
Givens
Book1: 10 and 8 dollars total for shipping
Book2: 12 dollars, no shipping costs.
Equation
12x = 10x + 8 Subtract 10x from both sides
Solution
12x - 10x = 10x - 10x + 8 Combine
2x = 8 Divide both sides by 2
2x/2 = 8/2
x = 4
Pls solve all the question as per the questions given below
1a) The additional information required using SAS Congruency postulate is; ∠AOB ≅ ∠BOD
1b) The additional information required using ASA Congruency postulate is BC ≅ QR
2a) The symbolic form of the congruent triangles is written as;
ΔABC ≅ ΔADC
2b) The congruence rule used is SAS Congruency postulate.
How to use congruency postulates?1a) We want to prove that the triangles are congruent by SAS Congruency postulate. SAS congruency postulate means Side - Angle - Side. Thus, the additional information is;
∠AOB ≅ ∠BOD
1b) We want to prove that triangle ABC is congruent to triangle PQR by ASA Congruency. We have that;
∠Q = ∠B and ∠R = ∠C. Thus;
The additional information is BC ≅ QR
2a) The symbolic form of the congruent triangles is written as;
ΔABC ≅ ΔADC
2b) The congruence rule used here is SAS Congruency postulate.
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an environmental agency is analyzing soil samples from 50 farms for lead contamination. eight of the farms have dangerously high levels of lead. ten farms are randomly selected from the sample. using technology, how many ways could two contaminated farms and eight noncontaminated farms be chosen?
Number of ways , two contaminated and 8 non- contaminated farms be choosen is 3,304,845,180.
Permutation and Combination
Combination is a mathematical way to arranging the set of values randomly.
ⁿCᵣ = n! / r! (n-r)!
we have given that ,
total number of farms for lead contamination = 50
Number of farms have dangerously high level of lead = 8
so, number of non- containmated farms ( no high level of lead ) = 50-8 = 42
We have to find the number of ways to choose two contaminated farms and eight non- contaminated farms. Two containmated farms are selected from 8 containated farms and 8 non- contaminated farms are selected from 42 farms .
Number of ways for selecting two containmated farms = ⁸C₂ = 8!/2!×6! = 8×7/2 = 28
Number of ways for selecting eight non-containmated farms from 42 farms = ⁴²C₈
= 42! / 8! 34! = 42×41×---×35/8×7×----×1
= 118013185
The total number of ways to obtain 2 containmated farms and 8 non- contaminated farms in 10 farms selected is then product of number of ways to select the 2 containmated farms and number of ways to select 8 non-containmated farms .
= 118030185× 28 = 3,304,845,180
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Create a table to show how the number of days is related to
the number of hours. Show at least 5 days,
24
b.
Is the relationship proportional?
c. Write an equation for the relationship.
Proportionality denotes a linear relationship between two quantities or variables.
A. Table is mentioned below.
B. Yes, it is a proportional relation.
C. y = 1/24 x
What is meant by proportional?A linear relationship between two quantities or variables is referred to as proportionality. If one quantity doubles in size, the other does as well; if one variable decreases to one-tenth of its previous value, the other does as well.If the ratio or relationship between y and x is the same or constant, the quantities are proportional: y/x = k, where k is the proportionality constant.When two quantities are proportional, it means that as one increases, so does the other, and the ratio of the quantities remains constant across all values.Consider a circle's circumference and diameter; the ratio of the two values equals pi.Therefore,
Part C : We know that,
1 day = 24 hours,
⇒ 1 hour = 1/24 day
As a result, the number of days in x hours (say y) = hours number of days in each hour
⇒ y = 1/24 x
Which is an equation of line.
Part A :
Hours 1 2 3 4 5
Days 1/24 1/12 1/8 1/6 5/24
Part B :
∵ a line passes through the origin always shows a proportional relation,
Since, for (0, 0),
0 = 1/24 (0) ( True )
i.e. there is a proportional relation between number of days and number of hours.
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You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0. How confident can you be that your predicted value will be reasonably close to the actual value?
Responses
I can’t be confident at all; this is about as close to a random guess as you can get.
I can be a little confident; it might be close, or it might be way off.
I can be very confident; it will be close, but it probably won’t be exact.
The correct option regarding the correlation coefficient is that A. I can’t be confident at all; this is about as close to a random guess as you can get.
What is a correlation coefficient?The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values can range between -1 and 1. A correlation coefficient of -1 denotes a perfect negative, or inverse, correlation, in which values in one series rise while those in the other fall, and vice versa.
A coefficient of one indicates that there is a perfect positive correlation, or a direct relationship. A correlation coefficient of 0 indicates that no linear relationship exists. In science and finance, correlation coefficients are used to assess the degree of association between two variables, factors, or data sets.
In this case, the fat that the person gets 0 implies that it's probably a random guess. In conclusion, the correct option is A.
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a pizzeria makes pizzas that are shaped as perfect circles, and measures pizza size by the diameter of a pizza. by surface area, approximately what percent larger is a 16-inch pizza than a 12-inch pizza?
Using the concept of percentage we get 16-inch pizza is 43.75% larger than a 12-inch pizza.
What is the percentage?Percentage means out of hundred. A number that is expressed as a fraction of a hundred is called a percentage. Percentage change = Change in the value / Initial value.
Area of circle = π R²,
Where R is the radius of circle.
Given that size of a pizza is measured by its diameter and surface area.
Diameter of the first pizza = 16 inch
So its radius = 8 inch
Hence area = π×8²
= 64π
And the diameter of the other pizza = 12 inch
So, its radius = 6 inch
Hence its area = π×6²
= 36π
Now the difference in areas of Both the pizza = 64π - 36π
= 28π
Now percentage difference in areas of both pizzas = 28π×100)/64π%
= 2800/64
=43.75%
Hence, 16-inch pizza is 43.75% larger than a 12-inch pizza.
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