Mathematics High School

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?

Answers

Answer 1

Answer:

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

Step-by-step explanation:

fuel efficiency = distance in miles/gallons of gas

fuel efficiency * gallons of gas = distance in miles

Car 1: 20 mpg

Car 2: 40 mpg

Total miles: 1100

Miles of Car 1: x

Miles of Car 2: 1100 - x

Total gallons: 35

Gallons for Car 1: y

Gallons for Car 2: 35 - y

Car 1:

fuel efficiency * gallons of gas = distance in miles

20 * y = x

Car 2:

fuel efficiency * gallons of gas = distance in miles

40 * (35 - y) = 1100 - x

20y = x

1400 - 40y = 1100 - x

20y = x

x = 40y - 300

40y - 300 = 20y

20y = 300

y = 15

35 - y = 35 - 15 = 20

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

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Answer:

there is none

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

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The diameter of a circle is 20 meters. What is the circumference?

Answers

Step-by-step explanation:

C≈62.83m

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·20≈62.83185m

A map uses the scale 1.5 cm=25 mi. Two cities
are 190 miles apart. How far apart are the cities
on the map?

Answers

Answer: 11.4 cm

Step-by-step explanation:

190/25 = 7.6

7.6 x 1.5 = 11.4

Answer

the two cities are 11.4 cm apart on the map

Im struggling a lot with these problems can anyone help and show the WORK please?

Answers

Answer:

Step-by-step explanation:

I'll give a couple answers so you get the gist of things.

All you have to do is substitute 1/2 for x and 3/4 for y.

Ex - 30. x × y = 1/2 × 3/4 = 3/8

Identify the measures of exterior angle below. Let x = 15

Answers

plug in x as 15 and solve

F(x)=x^2. What is g(x)?

A. G(x)= x^2–4
B. g(x)= x^2+4
C. g(x)= -x^2-4
D. g(x)= -4x^2

Answers

Answer:

C

Step-by-step explanation:

I'm super sorry if I get this wrong you don't have to choose C I feel like I'm wrong but have a nice day

The radius of a sphere measures 2 units What is its surface area?
Surface area
1 square units

Answers

Answer:

A=50.265

Step-by-step explanation:

A

[tex]4\pi {r}^{2} [/tex]

[tex]4\pi {2}^{2} = 50.265482446[/tex]

Answer:

16

Step-by-step explanation:

Simplify the expression. Write your answer as a power.

Answers

Answer:

b^36

Step-by-step explanation:

cuanto es 1+1
respuestas originales
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Answers

Answer:

Step-by-step explanation:

It’s 2

Answer:

[tex]1 + 1 = 2[/tex]

[tex]espero \: haberte \: ayudado[/tex]

What is the volume of the prism?

Answers

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

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Answers

I’ve attached my work...
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Yesterday, 20 bakery customers bought muffins and 11 of those customers bought banana muffins. If 100 customers buy muffins tomorrow, how many would you expect to buy a banana muffin?

Answers

Answer:

55

Step-by-step explanation:

Make a proportion.

11/20=x/100

20*5=100, 11*5=55

How to find surface area of a triangular prism

Answers

Answer:

Step-by-step explanation:

Solve the equation for x

Answers

The equation is x for 8

What are the solutions to log6(x^2 + 8) = 1 +log6(x)?

X=-2 and x=-4
X=-1 and x = 8
X= 1 and X=-8
X= 2 and x=4

Answers

Answer: x = 4, x = 2


x² + 8 = 6x

Answer:

D. x=2 and x=4

Step-by-step explanation:

Hope this helps!! Have a great day!! ❤

Find the indication of the right triangle

Answers

The answer should be 7 on the outside and 3 on the inside

Answer:

[tex]7 \sqrt{3} [/tex]

tan(60°)=x/7

7tan(60°)=x

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Answers

Answer:

-16/3

Step-by-step explanation:

I am not sure if you are aware of this but I am not sure if you are aware of the fact

Answer: x=-16/3

Isolate the variable by dividing each side by factors that don't contain the variable.

What is the length of 7.2 ft & 9.6ft

Answers

Answer:

16.8ft !

7.2 + 9.6 = 16.8 ft .

Answer:

12

Step-by-step explanation:

Using Pythagorean Theorem we know that

a² + b² = c²

7.2² + 9.6² = c²

51.84 + 92.16 = 144

Then find the square root of your c and you should get 12

__________________________

Or: 7.2 + 9.6 = 16.8 ft  if that's what you mean

Un parallélépipède rectangle posé sur une de ses faces carrées a un volume de 252cm cube, il a une hauteur de 7. Quelle est la longueur du coté de la base carré

Answers

Répondre:

6 cm

Explication étape par étape:

Volume du parallélépipède rectangle V = l²h

l est la longueur du carré basé

h est la hauteur

Étant donné

V = 252 cm³

h = 7 cm

Remplacer

252 = l² (7)

252 = 7l²

l² = 252/7

l² = 36

l = √36

l = 6 cm

D'où la longueur du côté de la base carrée est de 6 cm

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

58 and 1/2

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

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Julius bought 4 boxes of plastic forks

The circle shown on the radius of 10 units

Answers

Diameter = 20 unitsr x 2 = d10 x 2 = 20Line CO = 10 unitsLine CO is the radius

Answer:

Dropdown 1: is 20

Dropdown 2: is 10

Step-by-step explanation:

The diameter is twice the length of the radius, so multiply 2 by 10 to get 20 as the diameter. Line CO has the same length as the radius, so it is 10.

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Answers

Answer:

See below

Step-by-step explanation:

Year Starting balance,$      prt, $                                      Interest,$

1          1400                        1400(1+0.06) = 1484.00           84

2          1484                       1484(1+0.06) = 1573.04            89.04

3          1573.04                  1573.04(1+0.06) = 1667.42       94.38

For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?

Answers

K=21 hope this helps luvvvvv

3. Here are diagrams that represent 0.137 and 0.284.
tenths
hundredths
thousandths
a. Use the diagram to find the value of. Explain your reasoning.
b. Calculate the sum vertically.
0.1 3 7
0.2 8 4
+

Answers

if you’re just adding shouldn’t it be .421?

Find the equation of the line shown

Answers

Answer:

nhjkjhhjjjfghlkajshdii

Step-by-step explanation:

kjkkkk

Which point(s) lie on the line whose equation is - 4x + 5y - 12 = 8 Select all that apply. A (5, 0) В (- 2, 2.4) (8, 5) D (10, 12) E (0, 4)

Answers

Answer:

Options B, D and E

Step-by-step explanation:

Given equation is,

-4x + 5y - 12 = 8

-4x + 5y = 20

If a point given in the options lie on the line, point will satisfy the equation.

Option A.

For a point (5, 0),

-4(5) + 5(0) = 20

-20 = 20

False

Therefore, (5, 0) will not lie on the given line.

Option B

For (-2, 2.4)

-4(-2) + 5(2.4) = 20

8 + 12 = 20

20 = 20

True.

Therefore, (-2, 2.4) will lie on the given line

Option C

For (8, 5),

-4(8) + 5(5) = 20

-32 + 25 = 20

-7 = 20

False

Therefore, (8, 5) will not lie on the line.

Option D

For (10, 12)

-4(10) + 5(12) = 20

-40 + 60 = 20

20 = 20

True.

Therefore, (10, 12) will lie on the line.

Option E

For (0, 4)

-4(0) + 5(4) = 20

20 = 20

True.

Therefore, (0, 4) will lie on the line.

Options B, D and E are correct.

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