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

║3x²+x+5║= 5x²- 3x+ 7

Answers

Is this what you needed ?

put a factor back into the square root.

[tex]3 \sqrt{2a}[/tex]

Answers

Answer:

sqrt(18a)

Step-by-step explanation:

3^2=9

2*9=18

sqrt(18a)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The factor that can be put back into the square root is 9.

√(2 x 9 x a) = √(18a) = 3√(2a)

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3√(2a)

A factor that can be put back into the square root is 9.

√(2 x 9 x a) = √(18a) = 3√(2a)

3² = 9

Thus,

The factor that can be put back into the square root is 9.

√(2 x 9 x a) = √(18a) = 3√(2a)

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Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!

Answers

Answer:

x > 7/8 and the picture is below.

Step-by-step explanation:

To find the answer, you plug in the values for x. Nothing less than one in the set of given values, works. 1 works, 9/4 works, and 5/2 works. But everything else doesn't. Or, you could simply divide both sides by 2 to get x alone. That makes x>7/8. Meaning 7/8 doesn't work, but anything above it, does. So you could just look for the ones that are greater than 7/8.

Question 1 (3 points) What value of p makes this equation true? 3p - 8 = -23 . O p = -6 Op = -5 Op = 5 p = 6​

Answers

The value of p that makes the given equation true is equal to: B. p = -5

Given the following equation:

[tex]3p - 8 = -23[/tex]

To find a value of p that makes the given equation true:

In this exercise, you're required to determine a value of p that satisfies the given equation true such that when substituted into the equation, it has a true result or outcome.

Rearranging the equation by collecting like terms, we have:

[tex]3p - 8 = -23\\\\3p=-23+8\\\\3p=-15\\\\p=\frac{-15}{3}[/tex]

p = -5

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A formula is given with the value of all but one of the variables in the formula. Find the value of the variable not given.
P=2L + 2W; L= 4, W = 8

Answers

Answer:

P = 24

Step-by-step explanation:

P = 2L + 2W ( substitute L = 4, W = 8 into the formula )

P = 2(4) + 2(8) = 8 + 16 = 24

Answer :

Step-by-step explanation:

P=2(4)+2(8)

P=8+16

P= 24

How to figure out the absolute value.

Answers

Answer:

absolute value is the same number just positive and cha never be negative.

The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.

Answers

Answer:

A. True

B. True

C. False

D. True

E. False

Step-by-step explanation:

A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs

B. True, as y = f(x)

C. False, as there is no exponents

D. True, as if x=1, you lose 2 points

E. False, as x is the number of wrong problems

Evaluate. (4/5)^3this is a fraction, and an exponent, not 4 divided by 5, please get answer in quickly.

Answers

Answer:

[tex]\frac{64}{125}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} ^{3}[/tex]

To solve this you would cube the numerator and then the denominator:

4³ = 645³ = 125

The answer is [tex]\frac{64}{125}[/tex]

Hope this helps!

Please help me out for a brainlist :)
Match the correct form the equation is written in for the following:

Answers

Answer:

1,2,3,2,2

Step-by-step explanation:

because standard form is ax

x + 8 less than or equal to 6

Answers

If this is an equality question:
x is less than or equal to -2
x is less than or equal to -2

Can y’all figure this out while I help my fam hang up a chrismus tree :)

Answers

it’s C. Parsimony means extreme unwillingness to spend money or use resources.

Whats 16 x 32 what does it equal

Answers

512 16 times 32: 512


Team math Minds have a score of - 200 They answered five 30-point questions correctly. What is their new score?

Answers

-200+150= -50 is the answer

y= -8/9 (x+1)+6
convert to standard form

Answers

Answer:

mm

kl l

Step-by-step explanation:

By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.

Answers

Answer:

Assuming the question is:  3 + 1 16  [I see no "working below."

Step-by-step explanation:

3 + 1 16

48/16 + (16/16 + 1/16)  [Make all numbers into fractions using 16 as the denominator.  E.g. 48/16 = 3.

Add:  48/16 + (16/16 + 1/16)

  (48+16+1)/16

=63/16

[Also equal to 3 15/16]

please answer fast i need it

Answers

Answer:

AB = 2.625

Step-by-step explanation:

BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is

[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia

[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )

10 AB = 6(7 - AB) ← distribute

10 AB = 42 - 6 AB ( add 6 AB to both sides )

16 AB = 42 ( divide both sides by 16 )

AB = 2.625

What is the result when this equation is solved for y?
4x²+10x-2y=6​

Answers

Answer:

B. y = 2x² + 5x - 3

Step-by-step explanation:

[tex]4x^2+10x-2y=6\\\\4x^2+10x-2y-4x^2-10x=6-4x^2-10x\\\\-2y=-4x^2-10x+6\\\\\frac{-2y}{-2}=\frac{-4x^2-10x+6}{-2}\\\\y=2x^2+5x-3[/tex]

The result when the equation is solved for y is y = 2x² + 5x - 3.

To solve the equation 4x² + 10x - 2y = 6 for y, follow these steps:

Step 1: Move all terms containing y to one side of the equation:

4x² + 10x - 6 = 2y

Step 2: Divide both sides of the equation by 2 to isolate y:

(4x² + 10x - 6) / 2 = y

Step 3: Simplify the right side of the equation:

y = 2x² + 5x - 3

So, the result when the equation is solved for y is y = 2x² + 5x - 3.

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What is a trend line in math.

Answers

Answer:

Determining if a set of points exhibits a positive trend, a negative trend, or no trend at all.

A trend line, often referred to as a line of best fit, is a line that is used to represent the behavior of a set of data to determine if there is a certain pattern.

Please help me





20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

10 x 9= what is it help

Answers

Answer:

10

[tex]10 \times 9 \\ 90[/tex]

Answer:

90 :)

Step-by-step explanation:

10 x 9 = 90

= 90 is correct answer

(Hope this helps can I pls have brainlist (crown)☺️)

what are the values of the variables

Answers

Answer:

21

Step-by-step explanation:

we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3

from the triangle angle sum theorem, we know that 4x+6 = 90

solving, we get 4x=84, x=21

Answer:

isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).

so we have 180 degrees = 90 + (2x+3) + (2x+3)

so x = 21

If two line are perpendicular which statement is true

Answers

The two lines intersect each other to make it perpendicular
Hope this helps you. Have a great day

Calculate the slope of the line for Graph B.

Answers

Answer:

-1

Step-by-step explanation:

rise = -2

run = 2

Slope = rise / run

= -2/2 = -1

Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .

Answer:

Slope = -1

Step-by-step explanation:

You are provided with two points on the line (-5, 7) and (1,1).

[tex]Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

[tex]Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1[/tex]

What is Perfect square

Answers

Answer:

A perfect square is an integer that results in another integer when square rooted.

Step-by-step explanation:

For example:

16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.

16 and 4 are both integers

Also, notice that 4 x 4 = 16

Answer:

A perfect square is a number that can be multiplied together by the same numbers/digits/values.

Step-by-step explanation:

Examples:

√25

5 times 5 is 25 thus √25 is a perfect square

√144

12 times 12 is 144 thus √144 is a perfect square

Hope this helps!

A pot contains 3 1/3 cups of oatmeal.
How many 3/5 cup servings is this? How much will be left

Answers

Answer:

2 11/15

Step-by-step explanation:

Hope this helps please mark brainliest if I helped! Thanks

For this exponential function, what is the output value (y), when the input value (x) is O? y = 5. 2x ​

Answers

Answer:

(0,. 5 )

Step-by-step explanation:

Substitute the input x = 0 into the function for output y

y = 5 × [tex]2^{0}[/tex] = 5 × 1 = 5 [ note [tex]a^{0}[/tex] = 1 ]

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

answer is in the above picture

GIVING BRAINLIEST!! (ignore the answer i put i accidentally clicked on it) A line passes through the point (-2, 7) and has.a slope of -5.
What is the value of a if the point (a, 2) is also on the line?

Answers

the answer is -1 just believe me

Write seven million two thousand five hundred in standard form

Answers

Answer:

Seven million two thousand five hundred in standard form is 7002500

Answer:

Step-by-step explanation:

In words=7,002,500

In standard form:

7.0025×[tex]10^{6}[/tex]

If you need to ask any questions, please let me know.

Does anyone know this ??

Answers

bbbbbbbbbbbbbbbbbbbbbbbbbbbvbbbbbbbbbbb

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