Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $21.90. The oil change for the other car required 7 quarts of oil and cost $25.40. How much is the labor fee and how much is each quart of oil?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let x = the fee and let y = the cost per quart of oil

x + 5y = 22.45

x + 7y = 25.45     Multiply this equation by (-1) and add it to the 1st equation

 

-x -7y = -25.45

x + 5y = 22.45

     -2y = -3

        y = $1.50 /quart

 

x + 5(1.50) = 22.45

     x + 7.50 = 22.45

                 x = $14.95   is the basic fee


Related Questions

What is the volume of a cylinder with radius 4 cm and height 9 cm?

Answers

Answer:

452.39 cm

Step-by-step explanation:

Answer:

the answer is

Step-by-step explanation:

452.39 cm is the volume of a cylinder with radius 4 cm and height 9 cm

Select all that apply

Answers

Answer: integer and rational

Step-by-step explanation:

Consider the graph of f(x) = 5x 6 – 5x 5 – x 4.

On a coordinate plane, a graph decreases through (negative 0.6, 0.4), has an inflection point (0, 0), decreases through (0.5, negative 0.2) to (1, negative 1), and then increases up through (1.2, 0).

Based on the graph, what is the solution to
5x6 – x4 > 5x 5?

One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than x less-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than-or-equal-to x less-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
x less-than one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
x less-than-or-equal-to one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot

Answers

Answer:

A

Step-by-step explanation:

The other person said B, but it's not because it can't be equal to either. X is between .17 and 1.17, but cannot equal. I got this by putting it into des.mos and getting the graphs

Inequalities are used to represent unequal expressions

The solution to [tex]5x^6 - x^4 > 5x^5[/tex] is [tex]\frac 12 - \frac 3{10} \sqrt 5< x <\frac 12 + \frac 3{10} \sqrt 5[/tex]

The equation and Inequality

The equation of the function is given as:

[tex]f(x) = 5x^6 - 5x^5 - x^4[/tex]

The inequality is then given as:

[tex]5x^6 - x^4 > 5x^5[/tex]

Graph

See attachment for the graph of the inequality

From the attached graph, we can see that the inequality crosses the x-axis at:

[tex]x = -0.17\ and\ x = 1.17[/tex]

These values can be represented as:

[tex]\frac 12 - \frac 3{10} \sqrt 5< x <\frac 12 + \frac 3{10} \sqrt 5[/tex]

Hence, the solution to [tex]5x^6 - x^4 > 5x^5[/tex] is [tex]\frac 12 - \frac 3{10} \sqrt 5< x <\frac 12 + \frac 3{10} \sqrt 5[/tex]

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George had 27 arcade tokens. He used t tokens to play video games. Then, he used 14 tokens for a stuffed animal. Now, he has 5 tokens left. How many tokens did George use to play video games?

Answers

Answer:

George used 8 tokens to play video games.

Step-by-step explanation:

First, let's subtract 5 from 27.

27 - 5 = 22

So, George spent a total of 22 arcade tokens.

Now, let's subtract 14 from 22 to find the value of t.

22 - 14 = 8.

Therefore, George used 8 tokens to play video games.

Hope this helps! :D

In the figure below, AMNO
APQR. Determine the length of QR.
M
2y + 3
4x-2
x+ y
R
21
9
O 14
O3
O 12

Answers

Given:

[tex]\Delta MNO\cong \Delta PQR[/tex]

To find:

The length of QR.

Solution:

We have,

[tex]\Delta MNO\cong \Delta PQR[/tex]

Then, [tex]MN=PQ[/tex]                 (CPCTC)

[tex]10=4x-2[/tex]

[tex]10+2=4x[/tex]

[tex]12=4x[/tex]

Divide both sides by 4.

[tex]\dfrac{12}{4}=x[/tex]

[tex]3=x[/tex]

Similarity,

[tex]MO=PR[/tex]            (CPCTC)

[tex]2y+3=21[/tex]

[tex]2y=21-3[/tex]

[tex]2y=18[/tex]

Divide both sides by 2.

[tex]y=9[/tex]

Now,

[tex]x+y=3+9[/tex]

[tex]x+y=12[/tex]

Therefore, the correct option is d.

Students were required to go to the parking lot and select random cars or trucks, with replacement. The purpose was to gather the license plate from exactly 2 Toyota trucks. (For simplicity purposes, let's assume that there were only cars or trucks. In addition, the make of all cars and trucks were either Toyota and Honda.) The students had a further restriction of NOT being allowed to examine more than 3 automobiles to get the required data. What is the likelihood that a student would be successful in finding two Toyota trucks? The following probabilities represent the makes and models in the parking lot on that day: P(Car) = 0.743, P(Toyota | Car) = 0.431, and P(Honda | Truck) = 0.693.

Answers

Answer:

hsjsodgsosbsebseswowheoesss

Answer:

Being gay

Has its problems it's true

But being straight

Has its problems too

I met this girl and she's just great

But the problem is that I am straight

You ask how can this be

Listen, and you will see

She's got that style

She's got that smile

She's got the walk

She's got the talk

She's got that zing

There's just one thing

She's got a penis

She's got a penis

She's got that flair

Knows what to wear

She's got that face

That girl is grace

She's got pizzazz

Too bad she has

A penis

She's got a penis

Now nobody's perfect, I must admit

Say how many times do all the pieces fit

She's got more going than most other dolls

Oops I forgot about the balls

But she's so hip

This babe's a trip

HELP! WILL MARK BRAINLIEST!

Answers

Answer:

3

Step-by-step explanation:

3

If Paul buys 2 kilograms of size 6 screws, 1.6 kilograms of size 1 screws, and 2.5 kilograms of size 4 screws, how much will he spend?

Answers

Hjhvivficfbjjvij bvubkbhjbj

Plz need help. I’m stuck on this one

Answers

Answer:

The product of 3[tex]\sqrt{8}[/tex] (4 [tex]\sqrt{3}[/tex]) is 24[tex]\sqrt{6}[/tex]

The answer is A.

We want to factor the following expression:
81x^6– (y+1)^2
We can factor the expression as (U +V)(U-V) where U and V are either constant integers or single-
variable expressions.
1) What are U and V?

Answers

Answer:

We have [tex]\mathbf{U= 9x^3 \:and\:V=y+1}[/tex]

Step-by-step explanation:

We want to factor the expression [tex]81x^6-(y+1)^2[/tex] in the form of (U+V)(U-V)

We need to find U and V

We can use formula : [tex]a^2-b^2=(a+b)(a-b)[/tex]

We can write [tex]81x^6[/tex] as [tex](9x^3)^2[/tex]

Now we have the expression:

[tex]81x^6-(y+1)^2\\=(9x^3)^2-(y+1)^2[/tex]

Applying formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]=(9x^3+y+1)(9x^3-(y+1))\\=(9x^3+y+1)(9x^3-y-1)[/tex]

So, we have [tex]\mathbf{U= 9x^3 \:and\:V=y+1}[/tex]

3x= [tex]\frac{1}{2}[/tex]y + 10
Convert the equation to standard
Show work please

Answers

27-82$99/ u divide and simply oft the answer u got

Im pretty stuck

x−6≤3

Could some one help me simplify this answer and solve for x
Thanks

Answers

the answer is x ≤9 . :)

Solve each inequality:
||x+4|-7|<5

Answers

The value of the inequality is x < 8.

How to calculate the inequality?

It should be noted that from the information, we are to.eolve the inequality |x+4|-7 <5.

This will be:

|x+4|-7 <5

x +4 <5 + 7

x + 4 < 12

Subtract 4 from both sides

x + 4 - 4 < 12 - 4

x < 8

Therefore, the value of the inequality is x < 8.

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ASAP BRAINLIEST !! Luis is given the fraction 4/5. He is told to create an equivalent fraction with a numerator of 32. Explain the steps you’d use to solve for the missing denominator. Answer in 2-3 sentences.

Answers

Answer: answer 40.

Step-by-step explanation:

Note : lets make x the missing denominator.

I would take the 4/5 and set it equals to 32/x

we then cross multiply

where it would be 4 * x = 32  * 5

it would then be 4x = 160

we would then divide 160 by 4

x = 160/ 4

and x would be 40

.... therefore the missing denominator is 40.

Answer:

Your fraction would be 32/40

Step-by-step explanation:

For it to be equivalent it has to be equal to 4/5. what i did was divided 32 by for and got 8. I then multiplied 4/5 and 8/8 and the answer was 32/40. I multiplied by 8/8 because for it to be equivalent i have to do the same thing to both the numerator and denominator.

I really hope this helps as much as it can

Have an amazing rest of the day or night : )

I will be glad to help if you have any more questions

Two figures are shown below.



Which of the following statements correctly explains whether or not the two figures are congruent?
The two figures are congruent since there is a reflection that carries one figure onto the other.
O The two figures are congruent since there is a rotation that carries one figure onto the other.
O The two figures are not congruent since the two figures are oriented differently.
O The two figures are not congruent since there is no translation that carries one figure onto the other.

Answers

Answer: B

Step-by-step explanation:

The 2 figures given would be congruent since there seems to be a reflection that carries 1 figure onto the another one. A further explanation is below.

If somehow the matching sides of two components or figures have been of similar length and form, they are said to be congruent. They constitute congruent when one image or graphic entirely encompasses some other figure (both with and without rotations skills).Whenever we turn or twist the above diagram clockwise by something like 90° ∠, it becomes exactly like the ones below.

Thus the answer above i.e., "Option 1" is appropriate.

Learn more:

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Amanda made $14.50 per hour, gets a 10% raise, and works 38 hours per week.

Answers

Answer:

If the question is how much she earns per week the answer is $606.10

what is

-13y = -260

Answers

the answer is 20! hope this helps

Find the value of the variable

Answers

Answer:

z: 19

Step-by-step explanation:

Which of the following would be considered a sunk cost?

Answers

where's the "following" choices

Elizabeth drove two-fifths of a mile in 30 seconds. Which of the following shows
Elizabeth's speed?

75 miles per minute

12 miles per minute
0.8 miles per minute

0.2 miles per minute

Answers

Answer:

c.

Step-by-step explanation:

Which statement is true about -14 and -8?
-14>- 8 because -14 is located to the left of -8 on the number line.
O
-14<-8 because -14 is located to the left of -8 on the number line.
O
-14> - 8 because -14 is located to the right of -8 on the number line.
-14<-8 because - 14 is located to the right of -8 on the number line.
O
Previous

Answers

Answer:

A

Step-by-step explanation:

-14>-8 because -14 is located to the left of -8 on the number line.

can you put these from least to greatest -12 |-12.5| -13 |-11| |11.5| 12​

Answers

Answer:

-13,-12.5,-12,-11,11.5,12

Step-by-step explanation:

-13 , |-11| , |11.5| , 12 , |-12.5|

Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?​

Answers

Answer:

The answer to the nearest CENT is A= 11699.69

The amount of money would be $11.4 in the account after 19 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given that Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously.

p = $4.700

r =4.8%

t = 19 years

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 4.700 (1 + 4.8/100)¹⁹

A = 4.700 (1 + 0.048)¹⁹

A = 4.700 (1.048)¹⁹

A = 11.454133

Rounded to the nearest cent

A = 11.4

Therefore, the amount of money would be $11.4 in the account after 19 years.

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HELLLLPPPPP MEEE PLEASEEE I NEED A GOOD GRADE

Answers

Answer: x=11

Step-by-step explanation:

4x+4x+2=90

8x+2=90

8x=88

x=11

Solve for x plz.aaaa

Answers

Okay!

All we need to do to solve for x is to set up an equation!

the equation 3x + 4 represent the number of degrees of the bottom angle

→To set up the equation, however, we must find what the bottom angle is!

→This is easy since we know that all triangle are 180°

→The diagram already gives us to angles, so to find the third angle, we use simple subtraction

*the little corner with the red square is always 90°

180 = 90 + 50 + ?

? = 180 - 90 - 50

? = 40°

The angle is 40° !

→Now we can finally find x!

→To find x, we just set the equation they give us equal the degrees of the angle that we just found

3x + 4 = 40°

SOLVE !

3x = 36

x = 36/3

x = 12

We did it! Hope I helped ! :)

Alison wants to construct the perpendicular bisector of MN⎯⎯⎯⎯⎯⎯.



What should Alison do for her first step?

Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is greater than 12MN.
Use the straightedge to draw a line that intersects MN⎯⎯⎯⎯⎯⎯ at a point between M and N.
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is equal to 12MN​ .
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is less than 12MN

Answers

Answer:

What should Alison do for her first step ? She should learn to intersect the bisector of the intersector of mn such that mn should be the intersection of mn to nm so that no 2 intersections should intersect each other's bisector of mn to intersect of mn.

Step-by-step explanation:

Answer:

I should add that Alison is a very smart girl if she wants to construct such a perpendiculiar bisector of MN--. I am realy gratefull for such a kind and wise little smart girl.

Step-by-step explanation:

The lengths of the hypotenuse and one leg of a right
triangle are 10.5 and 3.7, respectively. Find the measure
of the angle opposite the leg whose length is known.
A. 20.63° B. 69.37° C. 19.41° D. 9.83°E. 46.90°

Answers

It’s the C because i did it in virtual class science

The measure of the angle is 20.63 degrees if the lengths of the hypotenuse and one leg of a right triangle are 10.5 and 3.7, respectively option (A) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The lengths of the hypotenuse and one leg of a right triangle are 10.5 and 3.7, respectively.

As we know,

Applying sin ratio

sinA = perpendicular/hypotenuse

sinA = 3.7/10.5

sinA = 0.35

sinA = 20.63 degrees

Thus, the measure of the angle is 20.63 degrees if the lengths of the hypotenuse and one leg of a right triangle are 10.5 and 3.7, respectively option (A) is correct.

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(PLEASE HELP)A very small serving of ice cream contains 480 calories. 120 calories come from fat. What
percent of the total calories come from fat?

Answers

Answer:

25%

Step-by-step explanation:

120/480=0.25

Answer:

25%

Step-by-step explanation:

120/480 = 0.25 * 100 = 25

5x + y = 13
3(x + y) =12+ y

Answers

Answer :
X=2
Y=3
..........

YOUT Tasha earned $50 from babysitting for 4 hours. What is her hourly rate? ​

Answers

$12.50 is the hourly rate Tasha earns from babysitting
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