A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second car has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for total gas cumsumption of 40 gallons. How many gallons were consumed by each car

Answers

Answer 1

Answer:

Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 25 gallons

Step-by-step explanation:

Given that:

Fuel efficiency of first car = 30 miles per gallon

Fuel efficiency of second car = 15 miles per gallon

Total distance traveled = 825 miles

Total gas consumption = 40 gallons

To find:

Number of gallons consumed by each car = ?

Solution:

Let the number of gallons consumed by first car = [tex]x[/tex] gallons

As per question statement, number of gallons consumed by second car:

[tex]40-x[/tex]

Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed

Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]

Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])

Using the given statement:

[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]

Therefore, Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 40 - 15 = 25 gallons


Related Questions

what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.

Answers

MAD= mean absolute deviation. Find the mean first. So if you add all the numbers and divide by the amount of numbers. Then you do the data value subtracted by the mean. Mean= 912 divided by 12 which equals 76. 912-76= 836. Sorry if it’s wrong, I don’t remember much from learning this.

Answer:

11.16

Step-by-step explanation:

hope this helps

Please help due soon!

Answers

a=6underroot2 and b =4/ underoot3
yeah what they said lol sorry need to get this in

The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?​

Answers

Answer:

40%

Step-by-step explanation:

Ignore the zeros, then think about the 15 ‘s multiplication table. Once you do, you will find that 90 is 15 times 6, which is 60%. And 100-60 is obviously 40. Hope this helps.

The percentage that was reduced from the original price is 40 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The original price of the skateboard = $ 150

The reduced price of the skateboard = $ 90

The difference between the original price and reduced price =
Original price of the skateboard - Reduced price of the skateboard

The difference between the original price and reduced price = 150 - 90

                                                                                                      = $ 60

Let the percentage decrease be A

Now the equation will be

Original price of the skateboard - A % ( Original price of the skateboard ) =
Reduced price of the skateboard

So ,

150 - A/100 ( 150 ) = 90

Adding A/100 ( 150 ) on both sides , we get

A/100 ( 150 ) + 90 = 150

Subtracting 90 on both sides , we get

A/100 ( 150 ) = 60

Multiply by 100 on both sides , we get

150A = 6000

Divide by 150 on both sides , we get

A = 40 %

Hence , the percentage at which the price of the skateboard reduced is 40%

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ6

Write the unit rate for each * You score 84 points in 6 games.​

Answers

Step-by-step explanation:

84/6= 84÷6/6÷6

14/1= 14 points

PLS HELP ASAP! <3 sorry for caps

Answers

Answer:

the answer would be 224/2

Step-by-step explanation:

PLEASE HELP!! THANK YOU!!

Answers

Step-by-step explanation:

i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D

Answer:

(0,-2)

Step-by-step explanation:

Parallelograms have parallel lines and equal opposite lines.

You can count.

For Ex: A is 1 above and 5 to the left of B.

So D should be 1 above and 5 to the left of C.

C is at (5,-3)

Go up 1 and left 5 and you get (0,-2)

Given: AB || DC, AD || BC
Prove:

Answers

Answer:

Reasons:

2. Opposite interior angles

4. Opposite interior angles

5. Same line

6. Congruence

Step-by-step explanation:

Can someone help me please? I will give brainly

Answers

Answer:106 I think

Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106

Whats the reciprocal for -4

Answers

Answer:

It is n-1. Does this help any or not?

Answer:

1/4

Step-by-step explanation:

so -4 is basically -4/1, you flip that and change the negative symbol to positive, making it 1/4.

what is x + 59-279?plz answer

Answers

x220...............

.

.

.

.

.

Answer:

x − 2 > 1

Step-by-step explanation:

If you are solving for x it would be

Jericho wants to start saving to
purchase a house. His goal is to save $92,400. If he deposits $56,000 into an account that pays 2.92% interest compounded daily, approximately how long will it take for his money to grow to the desired amount? Round your answer to the nearest tenth of a year.

a) 19.3 years
b) 21.7 years
c) 15.4 years
d) 17.2 years​

Answers

Answer:

its B

Step-by-step explanation:

If he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that,

Principal(P) = $56,000

Rate(R) = 2.92%

Time(T) = x years

Interest(I)=?

The amount to be collected to save the money is,

=$92,400 - $56,000

=$36,400

Interest = $36,400

The formula for the simple interest is,

I=(P×R×T)/100

Substitute the given value as

[tex]\rm 36400=\frac{\left(56000\times \:2.92T\right)}{100} \\\\ \frac{\left(56000\times \:2.92T\right)}{100}=36400 \\\\ \frac{100\times \:56000\times \:2.92T}{100}=36400\times \:100 \\\\ 163520T=3640000 \\\\ T=\frac{1625}{73} \\\\ T=21.7 \ years[/tex]

Thus, if he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.

Learn more about the simple interest here:

brainly.com/question/22621039

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please help i’ll give brainlest and lots of points !!

Answers

you should repost i’ll try and answer then

MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.

Answers

Answer:

16)

Bobby - 70

Hannah - 90 (Wins the round)

Carlos - 80

17)

Bobby - 7  (Wins the round)

Hannah - 3

Carlos - 5

Step-by-step explanation:

First we can make the variable n into each of the values they chose for the equations. Let's start with 16.

The equation is - (3+7) X (10 - n ÷2)

Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.

USE PEMDAS!!!

16)

Bobby -

1. (3+7) X (10 - 6 ÷2)

2. 10 X (10 - 6 ÷ 2)

3. 10 X 7

4.  Answer for Bobby - 70

Hannah -

1.  (3+7) X (10 - 2 ÷2)

2. 10 X (10- 2 ÷2)

3. 10 X 9

4. Answer for Hannah - 90 (Wins the round)

Carlos -

1. (3+7) X (10 - 4 ÷2)

2. 10 X (10 - 4 ÷ 2)

3. 10 X 8

4. Answer for Carlos - 80

17)

Bobby -

1. (2 X 6 + 2) ÷ 2

2. (12 + 2) ÷ 2

3. 14 ÷ 2

4. Answer for Bobby - 7 (Wins the round)

Hannah -

1.  (2 X 2 + 2) ÷ 2

2. (4+2) ÷ 2

3. 6 ÷ 2

4. Answer for Hannah - 3

Carlos -

1. (2 X 4 + 2) ÷ 2

2. (8+2) ÷ 2

3. 10 ÷ 2

4. Answer for Carlos - 5

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!!!

Help and I’ll give brainlest answer

Answers


The answer is -88

When you multiply and then divide

which value is the solution for this equation? 7(b - 2) = -7

a. -2
b. 1
c. 2
d. 5

Answers

Answer:

1

Step-by-step explanation:

7b -14 = -7

or b= 14-7 / 7

or b= 7/7

b is 1

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer:

No

Step-by-step explanation:

3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor

Answer:

No

Step-by-step explanation:

Let's assume (x + 5) is the factor of f(x) = x^3 − 4x^2 + 3x + 7

then f(-5) should be equal to zero. Verifying:

f(-5) = (-5)^3 - 4(-5)^2 +3(-5) + 7 =-125 - 100 - 15 + 7 = -233

Since -233 ≠ 0, the statement is false, so (x + 5) is not a factor of given polynomial

Select all the points that are on the graph of the line 2x + 3y = 6

Answers

Answer:

The points are;

X       Y

3       0

0       2

12     -6

15     -8

This is in no particular order.

Step-by-step explanation:

how do you solve -3 + 5 +6g =11 - 3g?

Answers

Add -3 +5 u get 2
the add 3g to 6g to get 9g
then u have 2+9g=11
subtract 2 to both sides u get 9g=9
divide 9 u get 1=g hope I helped

Final Answer: [tex]g = 1[/tex]

Steps/Reasons/Explanation:

Question: How do you solve [tex]-3 + 5 +6g = 11 - 3g?[/tex]

Step 1: Simplify [tex]-3 + 5 + 6g[/tex] to [tex]6g + 2[/tex].

[tex]6g + 2 = 11 - 3g[/tex]

Step 2: Subtract [tex]2[/tex] from both sides.

[tex]6g = 11 - 3g - 2[/tex]

Step 3: Simplify [tex]11 - 3g - 2[/tex] to [tex]-3g + 9[/tex].

[tex]6g = -3g + 9[/tex]

Step 4: Add [tex]3g[/tex] to both sides.

[tex]6g + 3g = 9[/tex]

Step 5: Simplify [tex]6g + 3g[/tex] to [tex]9g[/tex].

[tex]9g = 9[/tex]

Step 6: Divide both sides by [tex]9[/tex].

[tex]g = 1[/tex]

~I hope I helped you :)~

A football game in 60 minutes. There are 3:25 minutes left on the clock in the 3rd quarter. How many minutes and seconds have been played?

Answers

Answer:

11:35

Step-by-step explanation:

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments? Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

Answers

Answer:

335=47.5x+50 I believe

Step-by-step explanation:

Give the coordinate of the point where the line crosses the (a) y-axis and (b) the x-axis for the equation y=3x+1 *

Answers

Answer:

y = 3x -1

Step-by-step explanation:

g(c)=19−c^2

What is g(4)?

Enter your answer in the box.

Answers

Answer:

g(4)=3

Step-by-step explanation:

Answer:

g = 19

Step-by-step explanation:

y-4=-2(x+3) what's the answer

Answers

Answer:

y=-2x-2

Step-by-step explanation:

y-4=-2(x+3)

Remove parentheses

y-4=-2x-6

Move your constant to the right

4=-2x-6+4

Calculate the sum

y= -2x-2

what is the answer to this?​

Answers

Answer:

[tex] < 1 = 48[/tex]

Step-by-step explanation:

[tex] < 1 + 132 = 180[/tex]

[tex] < 1 = 180 - 132[/tex]

[tex] < 1 = 48[/tex]

because it's a straight angle(180)

A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?

Answers

the average speed for the trip is 11 miles per hour, or mph. 99 miles divided by 9 is 11

5. What is the length of the unknown leg? ​

Answers

Answer: a = 8

Step-by-step explanation:

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = √64

a = 8

how long does it take a snail to travel 10 inches at a rate of .2 inches per minute.

Answers

Answer:

50 minutes

Step-by-step explanation:

10 / 0.2 = 50

It takes 5 minutes for the snail to travel 1 inch, multiply that by 10 and we get 50 minutes.

Solve for X.
93°
3x

Vertical angles

Answers

Answer:

x = 31

Step-by-step explanation:

93 ÷ 3 = 31

so that means x equals 31

Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?

Answers

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

8 minutes because 48/3 is 16
so 128/16 is 8
and 128/48 is 2.6
3x2.6 is 8

Simplify the expression. 3.7z to the power of 2+7.2+9z-1.2-2z+z to the power of 2.


Please help

Answers

The answer is Would be 2 hehehehe hshshs x=2
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