Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30

Answers

Answer 1

Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

What is a system of equations?

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

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Related Questions

what is the vertical asymptote for this function?
y=1/x-2

Answers

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

Answer:

2

Step-by-step explanation:

If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p

Answers

Answer:

Angle 1 = 110

Angle 2 = 110

Angle 3 = 70

Angle 4 = 70

Step-by-step explanation:

Angles 1 and 2 are corresponding angles, and therefore congruent

Angles 2 and 3 are same-side interior angles, and therefore supplementary

Angles 3 and 4 are alternate interior angles, and therefore congruent.

Answer:

Angle 2: 110

Angle 3: 70

Angle 4: 70

Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today?

Answers

Answer:

$6.40

Step-by-step explanation:

9.15-2.75=6.40

What is the amount of discount?
(100 pts)

Answers

[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]

[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]

[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]

[tex]\\ \sf\longmapsto Discount=375/100[/tex]

[tex]\\ \sf\longmapsto Discount=3.75[/tex]

Answer:

discount = $3.75

Step-by-step explanation:

Given:

[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]

Multiply both sides by 100 to eliminate the denominators:

[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]

Divide both sides by 10:

[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]

Carry out the multiplication on the right side:

[tex]\implies \sf discount \times 10=\$37.50[/tex]

Divide both sides by 10:

[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]

[tex]\implies \sf discount=\$3.75[/tex]

How do you factor an expression to the 4 exponent.

Answers

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Answer: How do you factor variables with exponents? To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.

Explanation: Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.

The width of a rectangle measures (10p + 6) centimeters, and its length
measures (2p – 10) centimeters. Which expression represents the
perimeter, in centimeters, of the rectangle?
-

Answers

Answer:

24p-8

Step-by-step explanation:

Perimeter just means add up all the sides

(10p+6)+(2p-10)+(10p+6)+(2p-10)

= 24p-8

$1,000 invested at 8% compounded semiannually after a period of 2 years

Answers

Answer:

1160 will be the new amount after 2 years

Step-by-step explanation:

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Therefore 1160 is the new amount after two years.

Type your number answer in decimal form. Do not round.

0.6 kilograms = _______ grams.

Answers

0.6 KL = 600 grams

you can always use the ladder method

32is ​0.2% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than ​32, slightly less than ​, slightly greater than ​32, or a lot greater than 32 ​? Explain

Answers

Answer:

A lot greater

Step-by-step explanation:

32 is 0.2% of the number, that is a small amount compared to what the whole is

g
Pat a
mber
4. In a hockey league, 87 players play on seven
different teams. Each team has at least 12
players. What is the maximum number of players
on any one team?

Answers

Answer:

15

Step-by-step explanation:

since there is 7 teams and 12 can be the minimum we can do 7 x 12=84

this means that 3 people could possibly be on one single team.

the maximum number is 12+3=15

A restaurant keeps eggs in a rack that has 5 layers each layer has 5 row with 5 eggs in each row

Answers

What are you asking?
5 Layers
5 Rows in each layer
5 in each row
25+25+25+25+25=125

2. Which statement is true? (1 point)
O All quadrilaterals are rectangles.
O All quadrilaterals are squares.
O All rectangles are quadrilaterals.
O All quadrilaterals are parallelograms.

Answers

Answer:

the third one

Step-by-step explanation:

all rectangles have 4 sides therefore a quadrilateral

Answer:

3

Step-by-step explanation:

Rectangles require 4 sides and 90 degree corners, a quadrilateral requires 4 sides. So rectangles fulfill the quadrilateral's condition, but quadrilaterals can't always fulfill other forms' condition.

describe a set of data that has neither a positive nor a negative association , but does have a valid trend line

Answers

Answer:

Step-by-step explanation:

The points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Given that, a set of data that has neither a positive nor a negative association, but does have a valid trend line.

What is scatter plot?

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

If the points on the scatter plot seem to form a line that slants down from left to right, there is a negative relationship or negative correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

Therefore, the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

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joe mammamamamamamaamamamma

Answers

Answer:

this joke is getting old lol

Step-by-step explanation:

Geometry- Solve the portion. Question#3​

Answers

Answer:

[tex]a=1[/tex]

Step-by-step explanation:

First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

Given f(x)=5x-3, find f(-3)

Answers

f(x)=5x-3
f(-3)=5(-3)-3
f(-3)=-15-3
f(-3)=-18
ur answer is -18

Answer:

[tex]f(-3)=-18[/tex]

Step-by-step explanation:

Since

[tex]f(x)=5x-3[/tex], we can plug in our values

[tex]f(-3)=-15-3[/tex]

Combine like terms

[tex]f(-3)=-18[/tex]

please help with this ​

Answers

Answer:

Step-by-step explanation:

The perimeter of a circle is 2πr

r here is 7 so the perimeter of the full circle is 14π which is 43.9822972

But you only have half a circle, so 43.9822972 / 2 = 21.991148.

But now you have to add the 14 cm to it to close the half circle, so 21.991148 + 14 = 35.991148 or 36 cm

2/3 subtracted from 1/2

Answers

Answer:

-1/6

Step-by-step explanation:

[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]

W to the 3rd power over W to the -2 power

Answers

Answer:

[tex]w^{5}[/tex], w to the power of 5

Step-by-step explanation:

[tex]\frac{w^3}{w^-2}[/tex]

When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]

Hope this helps!

A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost $80 each, and those worn by Group B cost $90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B

Answers

Answer:

2,270

Step-by-step explanation:

HOPE IT HELPED >:D

Answer:

2270 dollars

Step-by-step explanation:

You know each group has 25 dancers and then you multiply 80 by 25 to get the cost of group a. Then you just subtract 2000 from your total to get your answer.

The range of F(x) = logo x is the set of all real numbers.
A. True
O B. False

Answers

Answer:

The range of F(x) = logo x is the set of all real numbers is True.

Step-by-step explanation:

Yes, Because range of the logarithmic function is the set of ''all real numbers.'

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is,

⇒ f (x) = log x

Now,

The given function is a logarithmic function.

And, The range of the logarithmic function is the set of all real numbers.

Hence, The range of function F(x) = log x is the set of all real numbers.

Thus, The range of F(x) = log x is the set of ''all real numbers''.

Learn more about the function visit:

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Help please! I do not understand

Answers

Here you got in two sections it won’t let me post both pictures at once

One centimeter is equal to 10^-2 meters. What decimal number
is equivalent to 10^-2

Answers

Answer: shoulb be to the thirs 4/8

Step-by-step explanation:

Which Game Is The Best And Why?

A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man

Answers

B) obviously it’s the most played game then all of the others this year

Answer:

Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun

Step-by-step explanation:

tell me what u think of this edit. be honest
https://www.canva.com/design/DAEvhu4Z4k8/aBnd2_pTqvSH-NiEyhcVIQ/watch?utm_content=DAEvhu4Z4k8&utm_campaign=designshare&utm_medium=link&utm_source=publishsharelink

Answers

its alright, not the best but its good.

Answer:

very nice!

Step-by-step explanation:

How would 1.047 be written as a percentage form?

Answers

Answer:

104.7%

Step-by-step explanation:

When changing a decimal to a percentage, simply move the decimal point to the right two place values to obtain your percentage:

1.047 = 104.7%

And vice versa, when changing a percentage to a decimal, move the decimal point to the left two place values to obtain your decimal.

~

Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?

600 students

300 students

450 students

800 students

which one?

Answers

Answer:

600

Step-by-step explanation:

Take the number that answered lavender and divide by total # of students surveyed

49/75 = .653333 or 65.3%

then take the total # of students and multiply by .6533333

908x .6533333 = 593.22

so the closest estimate is 600

-- Gage Millar, Algebra 1/2 tutor

someone please help me

Answers

Answer:

  (a)  A is steeper; 4/5 > 2/5

Step-by-step explanation:

The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.

The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...

  slope = rise/run = 2/5

This eliminates choice C.

The correct description of the relationship is the first one:

  Equation A has a steeper slope, because 4/5 is greater than 2/5.

Please answer without a link.

Answers

Answer:

D) 15/4+5.4

Step-by-step explanation:

If Marlene can type 157 words per minute how many words can she type in 25 minute

Answers

Answer:

3925

Step-by-step explanation:

25x

25*157

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