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 $19.50. The oil change for the other car required 7 quarts of oil and cost $22.00. How much is the labor fee and how much is each quart of oil?

Answers

Answer 1

Answer:

quart of oil = $1.25

labour = $13.25

Step-by-step explanation:

let x = cost of each quart of oil

y = flat fee for labour

two equations can be formed from the question

5x + y = 19.50 equation 1

7x + y = 22       equation 2

subtract equation 1 from 2

2x = 2.5

divide both sides by 2

x = 1.25

substitute for x in equation 1

5(1.25) + y = 19.50

y = 19.50 - 6.25

y = $13.25


Related Questions

Mary is building a rectangle enclosure for all her chickens. The length of the enclosure is 22.5m and the width is 13.2m. If she already has 30m of fencing, how much more does she need?

Answers

Answer:

41.4 meters

Step-by-step explanation:

22.5 + 13.2 = 35.7

35.7 × 2 = 71.4m (because of the other 2 sides of the rectangle)

71.4-30=41.4m

Consider the quadratic equation ax2 + bx + 5 = 0, where a, b, and c are rational numbers and the
quadeatic has two distinct zeros.
Choose the drop down below to make a correct statement.

Answer choices:
Rational
Irrational
Non-real

Answers

Answer:

irrational

Step-by-step explanation:

Yuhh I need help pleasee

Answers

Answer: [tex]-15,\ 3[/tex]

Step-by-step explanation:

Given

The table is given for values of x

From the table, If [tex]x=0[/tex] it corresponds to -15 i.e.

When we replace x by 0 in [tex]f(x)[/tex], we obtain [tex]f(0)=-15[/tex]

Similarly, for [tex]f(x)=27[/tex] corresponds to [tex]x=3[/tex]

Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.

Rita says she bought a total of 14.4 L of water.

Use estimation to show that her answer is reasonable.

Drag the numbers into the boxes to complete the number sentence.

_____x______= L

1 2 8 15 16 20 120 160

Answers

Answer:

Equation: 2 x 8 = 16

Step-by-step explanation:

1.8 ≈ 2

8 ≈ 8

2 x 8 = L

L = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which inequality represents the number of miles Ellie rides during her school break?
O A. m > 20
B. m > 20
C. m < 20
D. m < 20

Answers

Answer:

Hello! Your answer would be BELOW

Step-by-step explanation:

A)

D)

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Help me with my homework ASAP!

5-3-2021
(Look at photo)

(NO LINKS!!!!!)

Answers

a. You need to think which numerator is bigger

b. 4

c. 5

d. <

e. less than

f. greater than

Last one please help my brain can’t take this

Answers

Answer:

first option 7.331 × 10^6

Answer:

7.331×10E6

( E means the exponent just letting u know :)

please help with (Solving Rational Equations and Inequalities)

Answers

Answer:

1. x = -45

2. 1 +- squareroot 17 over 2

Step-by-step explanation:

note* ^ plus minus

A jar is full of gumballs and Hershey’s kisses. 2/3 of the jar is gumballs. 3/5 of these gumballs are red. What fraction of the whole jar are the red gumballs?

Answers

Answer:

[tex]\frac{2}{5}[/tex] of the jar contains red gumballs

Step-by-step explanation:

Hi there!

What we know:

[tex]\frac{2}{3}[/tex] of the jar is gumballs[tex]\frac{3}{5}[/tex] of the gumballs are red

To find the fraction of red gumballs in the whole jar, multiply the fractions:

Red gumball fraction × Total gumball fraction

[tex]= \frac{3}{5}*\frac{2}{3}\\= \frac{2}{5}[/tex]

Therefore, red gumballs contain [tex]\frac{2}{5}[/tex] of the whole jar.

I hope this helps!

What is the domain of y = x + 1?

Answers

Answer:

[0, infinity

Step-by-step explanation:

It's essential to type "sqrt(x)" or "√x," which are vastly different from the linear function y = x + 1.

The domain of the square root function is [0, infinity).

Adding 1 to this merely shifts the entire graph up 1 unit.

So the domain of y = √x + 1 is the same as before:    [0, infinity

Using words and equations, explain what you learned about exponents in this lesson so that someone who was absent could read what you wrote and understand the lesson. Consider using an example like 2^4 • 3^4 =6^4
I WILL MARK BRAINIEST FOR WHOEVER ANSWERS THE FASTEST

Answers

Answer:

Multiplication rule of exponents says [tex](xy)^n = x^n * y^n[/tex] hence, 2^4 • 3^4 =6^4

Step-by-step explanation:

As per the rule of exponents,

[tex](xy)^n = x^n * y^n[/tex]

If we go by the above equation, we can deduce that x is 2 and y is 3

Thus, 2^4 *3^4 can be written as [tex](2*3)^4 = 6^4[/tex]

Hence,  2^4 • 3^4 =6^4

What is the value of the dot on the number line?

Answers

It might be -3.3 or -3.2

Answer:

-2.1 to -2.4( my guess would be .3)

Step-by-step explanation:

the middle line refers to.5 so the dot since its not indicated could be referred to as-2.3

Help me
3.9x0.5+4 5/6 / 3 3/7

Answers

3.9 · 0.5 + 4 5/6 ÷ 3 3/7
1.95 + 4 5/6 ÷ 3 3/7 multiplication left ot right
1.95 + 29/6 ÷ 24/7 convert to improper fraction
1.95 + 29/6 · 7/24 divide by fraction same as multiplication by reciprocal
1.95 + 203/144 multiply
1.95 + 1.40 (and a teensy bit more)
3.35

The equation of the axis for the following graph is?

Answers

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

solve: 7-z what is the answer to this question.................... . . . .. . . . .. .

Answers

Answer:

7 - z = 0

- z + 7 = 0

- z = - 7

z = 7

Thus, The answer is 7

-TheUnknownScientist


Someone help please, I’ll give you brainlist!

Answers

Answer:

it is a 1

Step-by-step explanation:

Please help!
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume of a sphere 4 000 3 cm.​

Answers

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

Overview
6
9
10
12
Question Progress
Homework Progress
13/60
ABC is a straight line.

A
B
С
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.

Answers

AB = 60cm
BC = 15 cm

Call AB x and BC y

x = 4y
And
x + y = 75

Substitute the first value intro eh second equation & solve for a numerical value for y

4y + y = 75
5y = 75
y = 15
Then solve for a numerical value of x

x = 4y
x = 4(15) = 60

Is the relationship linear, exponential,or neither?

Answers

Answer:

neither

Step-by-step explanation:

it is neither because there is not a consistent pattern for linear, and there is not a consistent ratio so it also cannot be exponential

What is the correct Algebraic Inequality for the given graph?
plsss help​

Answers

Answer:

X < 9

The hallow circle means just greater than or less than

The numberline is pointing downwards showing that 9 is greater than x(unknown value)

The point is also on 9

Mystique's favorite part of a pizza is the crust. Which measurement is the BEST for determining how much crust is on a pizza?
A) The circumference

B) The area

Answers

Hey I don't really know I'm really sorry but I hope you find the answer! By the way I love this app !!!!
the answer would have to be area because it is measuring how much it is

s(t)=sqrt3t+1 at t=2

Answers

Answer:

s(2) = √7

Step-by-step explanation:

s(2) = √(3[2] + 1) = √7

A 30-foot ladder is set against the side of a house so that it reaches up 24 feet. If Elizabeth grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 21 ft.) Round to the nearest tenth of a foot.

Answers

Use the Pythagorean theorem to calculate the distance from the wall the ladder originally is:

x = sqrt(30^2 - 24^2)

x = sqrt(900-576)

x = sqrt(324)

x = 18

The ladder was originally 18 feet from the wall. Moving the ladder 3 feet further away makes the new distance 18 + 3 = 21 feet.

Now use the Pythagorean theorem again to find the new height of the ladder.

Height = sqrt(30^2 - 21^2)

Height = sqrt(900 - 441)

Height = sqrt(459)

Height = 21.42

Rounded to the nearest tenth = 21.4 feet.

Answer:89

Step-by-step explanation:

23+9

Two students' solutions to the equation 58.5 = 3.5x — 6 are shown
below. Both students made an error. Find the errors and give a
correct solution.

Answers

Answer:

18.43 is the correct answer when rounded to the hundreds place. when roumded to the tenths it is 18.4

Water freezes at 0° Celsius.
• Manoj's water is 3° Celsius.
• Leo's water is 7° Celsius.
Whose water matches each description?
Manoj's water
Leo's water
Is at a greater temperature
Is closer to freezing
+
0
3
7
pls help me

Answers

Answer:

‍♀️‍‍‍‍‍⚕️‍⚕️☺☺

Manoj’s water is closer to freezing.
Leo’s water is at a greater temperature.

Hope this helps. Just compare the two numbers regardless of system of temperature. Celsius, Kelvin, Fahrenheit, just compare the numbers the temperature is at.

3 < 7

Juan necesita para su coche verde 3dl y 75 ml de aceites,y para su coche azul 13cl y 5ml.¿Cuantos hl necesita en total? ¿Tendrá suficiente con una lata de medio litro?

Answers

Answer:

1. Juan necesita 0,0051 hl en total.

2. Juan no tendrá suficiente con una lata de medio litro.

Step-by-step explanation:

1. Para calcular el volumen total en hl, primero debemos convertir todas las unidades a hl.

Para el coche verde:

[tex] V_{1} = 3 dl*\frac{1 hl}{1000 dl} = 0,003 hl [/tex]

[tex] V_{2} = 75 ml*\frac{1 hl}{100000 ml} = 0,00075 hl [/tex]    

Para el coche azul:    

[tex] V_{3} = 13 cl*\frac{1 hl}{10000 cl} = 0,0013 hl [/tex]

[tex] V_{4} = 5 ml*\frac{1 hl}{100000 dl} = 0,00005 hl [/tex]    

Ahora, para encontrar el volumen total debemos sumar todos los volúmenes anteriores:

[tex] V_{T} = V_{1} + V_{2} + V_{3} + V_{4} = 0,003 hl + 0,00075 hl + 0,0013 hl + 0,00005 hl = 0,0051 hl [/tex]

Por lo tanto, Juan necesita 0,0051 hl en total.

 

2. Luego, para saber si tendrá suficiente con una lata de medio litro, debemos convertir el volumen total de hl a l:

[tex] V_{T} = 0,0051 hl*\frac{100 l}{1 hl} = 0,51 l [/tex]

Entonces, dado que el volumen total es 0,51 litros Juan no tendrá suficiente con una lata de medio litro porque necesita cubrir 0,01 litros más.  

Espero que te sea de utilidad!


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

C, the binder and the stapler do because 9+5=14

Step-by-step explanation:

Answer:

The binder and the stapler do

Pls mark Brainliest :)

Step-by-step explanation:

Let's evaluate 3x + 4 when x=5
First, I need to substitute 5 in for x

3( ) + 4


Put the steps for Evaluating an Expression in order: Evaluate x-3 when x=9?

Can you evaluate 3a + 4b when a=6 and b=5?
Substitute your values for a and b

3( ) + 4( )


Evaluate the following expression when a= 3 and b = 6

6a+3b

Answers

It is simple
Step 1) substitute x = 5 into the equation
3x +4
3(5) + 4 gives you 3 times 5 + 4
The answer is 15 + 4 which is 19

Now substitute a and b into the equation 3(a) + 4(b) when the a = 6 and b = 5
Hereby 3(6) + 4(5)
3 * 6 = 18 and 4* 5 = 20
18 + 20 = 38
The answer is 38

Now finally
Substitute a and b Into the equation
3(3) + 4(6)
9+ 24 = 33

hey could someone help me with this question immediately!! i’ll mark brainiest if it’s correct.

Answers

Answer:

10/3

Step-by-step explanation:

The answer would be 10/3. Please mark brainliest!

Answer:

10

Step-by-step explanation:

The missing number is 10

Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.

What is the distance from Georgia's boat to Olivia's boat?



Enter your answer in the box. Round your final answer to the nearest whole number.

ft

Answers

Answer:

52ft

Step-by-step explanation:

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