Answer:
He took 30 weeks to save $ 500
Step-by-step explanation:
Let 'x' be the number of weeks
Money deposited after each week = $ 15
Money deposited 'x' weeks = 15 * x = 15x
Opening balance in his account = $50
So, money that will be in his account after x weeks = 50 +15x
Total money in the bank = $500
50 + 15x = 500
15 x = 500 - 50 { Subtract 50 from both sides}
15x = 450 { Divide both sides by 15}
15x/15 = 450/15
x = 30 weeks
square root of 10
[tex](128 + 2[/tex]
We are given the equation:
√10(128 + 2)
We can simplify what is in parenthesis.
√10(130)
We can put the number in parenthesis on the left side of the square root.
130√10
As a decimal, it would equal approximately 411.10
Best of Luck!
PLS HELP WILL GIVE BRAINIEST!!!!!! Enter your answer and show all the steps that you use to solve this problem in the space provided. Evaluate the expression for the given value of the variable(s). 5a + 5b; a=-6,b=-5
Answer:
-55
Step-by-step explanation:
Substitute the given numbers for the variables; a = -6, b = -5
5(-6)+5(-5)
-30-25=-55
Hopefully this helps!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 55}}}}}[/tex]
Step-by-step explanation:
Given, a = -6 , b = -5
[tex] \sf{5a + 5b}[/tex]
plug the value of a and b
⇒[tex] \sf{5 \times ( - 6) + 5 \times ( -5)}[/tex]
Multiply the numbers
⇒[tex] \sf{ - 30 + ( - 25)}[/tex]
We know that , [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]
⇒[tex] \sf{ - 30 - 25}[/tex]
Calculate
⇒[tex] \sf{ - 55}[/tex]
Hope I helped!
Best regards! :D
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
Answer:
$3,000
Step-by-step explanation:
To find his average monthly pay, you have to find the total amount that Willian received in a year by multiplying his monthly salary as a teacher for 10 months and his salary as a barista for 2 months and adding up these numbers. Then, you have to divide the total amount he earned by 12 that is the number of months in a year:
($3,200*10)+($2,000*2)= $32,000+4,000=36,000
$36,000/12=$3,000
According to this, his average monthly pay for the 12 months was $3,000.
what is this help -11 =-8x
Answer:
x=1.375
Step-by-step explanation:
-11 divided by -8=1.375
Answer:x=11/8.
Step-by-step explanation: -11 =-8x -8x/-8=-11/-8 x=11/8
17. Eduardo is a 40-year-old individual who plans to retire at age 65. Between now and then, $2000 is paid annually into his IRA account, which is anticipated to pay 5% compounded annually. How much will be in the account upon Eduardo's retirement?
Answer:
FV= $95,454.20
Step-by-step explanation:
Giving the following information:
Annual deposit= $2,000
Number of periods= 25 years
Interest rate= 5% compounded annually
To calculate the future value of the annual deposits, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {2,000*[(1.05^25) - 1]} / 0.05
FV= $95,454.20
140 + 150 + 160 + 180 + 190 + 200 + 210
Arithmetic Sequence
Answer:
The pattern is positive, and is going up by ten each time. (although I am confused as to why there isn't the number 170 between 160 and 180) hope this helps!
Step-by-step explanation:
your adding ten each time, for example, 180 plus ten is 190, 190 plus ten is 200, and so on.
to win the neighborhood tomato growing contest jonny needs for his tomato plant to produce 8 tomatoes per week. he needs 30 tomatoes to win the contest. he already has 6 tomatoes. write and solve an equation to find the number of weeks he needs to produce 30 tomatoes.
Answer:
t=3
Step-by-step explanation:
Equation: 8t represent the rate of 8 tomatoes per week + 6 to represent the tomatoes the already has. And the 30 is for the 30 tomatoes he needs to win.
30=8t +6
-6 -6
-------------
24=8t (divide both sides by 8) Final answer is t=3
Help with Functions please
Answer:
a. Cube Root
I hope this helps!
solve for x please help xx
Answer:
Hey there!
Taking the square, we have x+1=25
Subtract one to get x=24.
Hope this helps :)
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster. To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of .
Complete question is;
Identify the type of sampling used: random, systematic, convenience, stratified, or cluster.
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans
Answer:
Systematic Sample
Step-by-step explanation:
We are told that the quality control manager selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans.
Thus, the selection is from a large sample of produce.
This is synonymous with systematic sample because systematic sample can be defined as a type of probability sampling in which sample members from a larger population are selected according to a random starting point but with a set periodic interval.
This resonates with the statement in the question about selecting every 18th soup from the production assembly line.
22.34÷3 please help
Answer:
[tex]7.446[/tex]
Step-by-step explanation:
[tex]22.34[/tex] ÷ [tex]3[/tex]
To solve, let's make 22.34 into a fraction and divide.
[tex]\frac{22.34}{3}[/tex]
And that equals
[tex]7.446667[/tex]
Exact form:
[tex]7.446[/tex]
Now you got your answer!
Hope this helps!
some irrational numbers are integers true or false
Answer:
False
Step-by-step explanation:
Irrational numbers are not integers. All integers are rational numbers.
The statement "some irrational numbers are integers" is false.
Is the statement true or false?
Irrational numbers are real numbers that cannot be expressed as fractions or ratios of two integers. They are non-repeating and non-terminating decimal numbers.
Integers, on the other hand, are whole numbers (positive, negative, or zero) without any fractional or decimal components. They can be expressed as ratios of two integers, such as 1/1, -3/1, or 0/1. Integers can also be written as terminating decimals, such as 4.0, -2.00, or 0.
Since irrational numbers cannot be expressed as ratios of integers and integers can be expressed as ratios of integers, it follows that irrational numbers are not integers. Therefore, it is false to say that some irrational numbers are integers.
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Ben worked for 14 consecutive days, earning an average wage of $230 per day as an independent contractor. During the first 8 days, Ben averaged $220 per day and his average wage for the next 5 days was $200. How much did he earn on the last day?
Answer:
460
Step-by-step explanation:
8x220=1760
5x200=1000
(2760+x)/14=230
2760+x=230x14
2760+x=3220
x=3220-2760
x=460
Please give me a full solution: Chuck has 9 colored beans: 6 blue beans, one green, one red and one yellow. He wants to arrange these beans such that on each side of a non-blue bean there's a blue one. In how many ways can he do that ? Thanks in advance ..
Answer: 56ways
Step-by-step explanation:
given data:
total beans = 9
blue beans = 6
red beans = 1
yellow beans = 1
green beans = 1
solution:
This is a permutation problem because there is a condition attached to it which states that the beans most be arranged in a way that atleast each none blue has a blue bean on its side when shared.
= ( r + n - 1 ! ) / r ! ( n - 1 )!
= 3 + 6 - 1 / 3! ( 6-1 )!
= 8! / 3! x 5!
= 40320/ 720
= 56 ways
Simplify: 6x - 3y + 5y - 10x A) -16x + 2y B) -16x - 8y C) -4x + 2y D) -4x - 8y
Answer:
C) [tex]-4x+2y[/tex]
Step-by-step explanation:
[tex]6x-3y+5y-10x[/tex]
[tex]6x-10x-3y+5y[/tex]
[tex]-4x-3y+5y[/tex]
[tex]-4x+2y[/tex]
I have to find an equation for a table
Let's say imput is i and that output is o.
The formula is 2 ^ i = o
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
Notice how the numbers match?
Hope this helped :)
Evaluate 13+6/y when y=6
Answer:
[tex]14 [/tex]
Step-by-step explanation:
[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = 13 + 1 = 14[/tex]
or
[tex]13 + \frac{6}{y} = \frac{13}{1} + \frac{6}{6} = \frac{78 + 6}{6} = \frac{84}{6} = 14[/tex]
Hope this helps ;) ❤❤❤
PLEASE HELP IMMEDIATELY
What is Dennis's speed? miles per hour Dennis is driving down the East Coast of the United States. He starts in Boston and drives through Hartford Corecticut which is approximately 101 miles away from Boston. He contimies on from Hartford to Baltimore. Baltimore is approximately 410 miles away from Boston. Determine Dennis's average speed from Hartford to Baltimore if that noition of his trip takes 5 hours.
Answer:
61.8 miles/hr
Step-by-step explanation:
Given that
Dennis starts from Boston and travels to Hartford for 101 miles.
And then he travels towards Baltimore which is 410 miles away from Boston.
Time taken from Hartford to Baltimore = 5 hours
Kindly refer to the image attached for the trip of Dennis and the distance traveled by him.
Point A represents Boston.
Point B represents Hartford.
Point C represents Baltimore.
Distance AB = 101 miles
Distance AC = 410 miles
Actually, we are given that Distance BC is traveled in 5 hours.
Distance BC = AC - AB = 410 - 101 = 309 miles
Average Speed is given as:
[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]
So,
[tex]\text{Average Speed = }\dfrac{309}{5}\\\Rightarrow \text{Average Speed = }\bold{61.8\ miles/hr}[/tex]
Tara is mowing her lawn. She mows 3/5 of her 925-square meter lawn before stopping to chat
with a neighbor. How many square meters does Tara have left to mow after chatting with her
neighbor?
Answer:
370
Step-by-step explanation:
put 925/1 and x by 3/5 you get 2,775/5 divide that you get 555 subtract 925 and 555 you have your answer which is 370
Tara have a total of 370 m² lawn left to mow
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total area of the lawn = 925 m²
Before talking to neighbor
Tara mows ( 3/5 ) of total area of the lawn
So ,
The area left for her to mow is = 1 - 3/5
= 2/5
So , the equation will be
The area for Tara to mow = 2/5 x total area of the lawn
= 2/5 x 925
= 2 x 185
= 370 m²
Hence , Tara have a total of 370 m² lawn left to mow
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What is the quotient and remainder of 26 divided by4
Answer:
6 with a reminder of 2 :)
4 is the quotient and 2 is the remainder when 26 divided by 4.
What is Division?A division is a process of splitting a specific amount into equal parts.
The number which we divide is called the dividend.
The number by which we divide is called the divisor.
The result obtained is called the quotient.
The number left over is called the remainder.
26 divided by 4
26 is the dividend
4 is the divisor
26/4
26 we can split as 24+2
24 is divided by 6 which results 4 and 2 is the remainder. So 4 is the quotient and 2 is the remainder
Hence, 4 is the quotient and 2 is the remainder when 26 divided by 4.
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The sides of a square are 5 cm long. One vertex of the square is at (0,3) on a
square coordinate grid marked in centimeter units. Which of the following points
could also be a vertex of the square?
(4,0)
(0,5)
(5,5)
(3,0)
(5,3)
Answer:
d
Step-by-step explanation:
Solve the formula for a P=a+b+c
Answer:
[tex]\huge \boxed{a= P-b-c}[/tex]
Step-by-step explanation:
[tex]P=a+b+c[/tex]
Subtracting b and c from both sides.
[tex]P-b-c=a+b+c-b-c[/tex]
Simplifying both sides.
[tex]P-b-c=a[/tex]
P=a+b+c
Subtracting b and c from both sides.
P-b-c=a+b+c-c
Simplifying both sides.
P-b-c=a
Farmer Ali had a well on his property 200 feet deep. When the well went dry, he hired a company to drill the well deeper. He used the equation d = -75t – 200 to find the depth of the well, d, using the number of days the company drilled, t.
• What is the slope of the line?
Answer:
-75
Step-by-step explanation:
the equation is set up as y = mx + b
in this case, m = -75
-75
PLEASE HELP! 15 POINTS! What are the factors of the expression −4(a+b )?
Answer:
-4, and (a+b) are the two factors
Step-by-step explanation:
-4(a+b)
We have two factors
-4, and (a+b)
Answer:
-4 and a and b/(a+b)
Step-by-step explanation:
When there is a number outside of a parentheses, you want to distribute it inside of the parentheses. So in this case, -4 is on the outside, so it usually gets distributed it in, which makes it a factor.
Since a and b are getting multiplied by the -4, they are also factors in the equation.
In a problem like this, if you want to solve it, the number outside the parentheses gets distributed into the numbers in the parentheses. (It gets multiplied by the numbers).
-4 times a and -4 times b
-4 times a is -4a
-4 times b is -4b
The answer to this problem, if you need it is -4a-4b. :)
At its highest point, the elevation of a county is 5,763 feet above sea level. At its lowest point, the
elevation of the county is 6 feet below sea level. Answer parts a through c.
a. Write an expression using integers to represent the difference between the elevations.
Please hurry and answer
Answer:
5, 769 ft
Step-by-step explanation:
The difference between the elevations is
5,763 ft - (-6 ft) = 5, 769 ft
An expression that uses integers to represent the difference between the elevations is 5763-(-6).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that At its highest point, the elevation of a county is 5,763 feet above sea level. At its lowest point, the elevation of the county is 6 feet below sea level.
If the sea level is assumed to be the origin of a graph, then the elevation above sea level will be represented by a positive y-axis, therefore, the elevation of a county is +5,763. While the elevation below sea level will be represented by a negative y-axis, therefore, the elevation of a county is -6.
Thus, an expression that uses integers to represent the difference between the elevations is,
Difference = Elevation above sea level - Elevation below sea level
= 5763 - (-6)
= 5763 + 6
= 5769
Hence, an expression that uses integers to represent the difference between the elevations is 5763-(-6).
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Write the repeating decimal 0.515151515151... as a fully simplified fraction.
=================================================
Work Shown:
x = 0.515151...
100x = 51.515151....
Subtract the two equations to get 100x-x = 99x on the left side and 51.515151.... - 0.515151... = 51 on the right side. Notice the decimal portions cancel out.
So we end up with 99x = 51 which solves to x = 51/99
This means 51/99 = 0.515151...
Answer:
17/33
Step-by-step explanation:
We first let 0.51 be x.
Since x is recurring in 2 decimal places, we multiply it by 100.
100x=51.51
Next, we subtract them.
100x−x=51.51−0.51
99x=51
Lastly, we divide both sides by 99 to get x as a fraction.
x=51/99
=17/33
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
-10x=-80
Answer:
One Solution
[tex]x = 8[/tex]
Step-by-step explanation:
Given
[tex]-10x = -80[/tex]
Required
Determine the number of solution and the value of x
The equation is a linear equation and they have just one solution
Solving further [Divide both sides by -10]
[tex]\frac{-10x}{-10} = \frac{-80}{-10}[/tex]
[tex]x = \frac{-80}{-10}[/tex]
[tex]x = 8[/tex]
Hence;
x has only one value
Evaluate 12-x for x=5.
O 12
7
O 17
Answer:
7
Step-by-step explanation:
12-x
Let x = 5
12-5
7
What is the volume of the triangular prism below?
V = ____ ft3
Answer:
4.5
Step-by-step explanation:
triangular prism volume = [tex]\frac{1}{4}[/tex]h[tex]\sqrt{-a^{2}+2(ab)^{2} +2(ac)^{2}﹣b^{4}+2(bc)^{2}﹣c^{4} }[/tex]
a = base side = 1.4 ft (after converted from inches to feet)
b = base side= 2 ft
c = base side = 2.5 ft
h = height = 3 ft
plug all the number into the formula
Restaurants often slip takeout menus under Braden's apartment door. The table shows how many menus Braden has collected from different types of restaurants. Japanese 24 Chinese 1 Thai 9 Indian 4 What is the probability that one of Braden's takeout menus, selected at random, will be from an Indian restaurant? Write your answer as a fraction or whole number.
Answer:
2/19
Step-by-step explanation:
Total menus collected= 24+1+9+4=38
Indian menus collected= 4
Therefore= 4/38 = 2/19
Answer:
1/10
Step-by-step explanation: