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Margaret [11]
3 years ago
9

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

15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1325 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of
the two cars that week?
Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

40 and 35

Step-by-step explanation:

If we say the first car uses x gallons then the second car must use 75 - x gallons.

The distance travelled is the number of gallons used * the efficiency of the car.

20x + 15(75-x)=1325

20x + 1125 - 15x = 1325

5x = 200

x = 40

This means that the first car uses 40 gallons and the second car uses 75-40= 35 gallons

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(4z^5 - 14z^4 + 10z^3 - 16z^2 + 41z - 2) / (z - 2)
r-ruslan [8.4K]

Answer:

4z4−6z3−2z2−20z+1

Step-by-step explanation:

4z5−14z4+10z3−16z2+41z−2

z−2

=

4z5−14z4+10z3−16z2+41z−2

z−2

=

(z−2)(4z4−6z3−2z2−20z+1)

z−2

=4z4−6z3−2z2−20z+1

(theres no more like terms so u cant)

4 0
2 years ago
A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each pris
elena-s [515]

The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

<h3>How to determine the volume </h3>

Using the formula:

Volume = 3abh

Where a = apothem length

b = length of the side of the base

h =height of the prism

Substitute values from the diagram into the formula

Volume = 3 × 5 × 4.3 × 2

Volume = 129 in^3

Volume of the remaining cake

Volume = 3abh

Volume = 3× 5.2 × 4 × 6

Volume = 374. 4 in^3

Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

Learn about volume of a hexagonal prism here:

brainly.com/question/9647193

#SPJ1

8 0
2 years ago
1. Which statements are true?
podryga [215]
Number 1 a and d are true 

number to its b c and d

number 3 idk, sorry
5 0
3 years ago
Jan buys 3 bags of beads. Each bag contains 7 beads. Draw a bar diagram and write an addition equation and a multiplication equa
-Dominant- [34]

Answer:

  - The diagram bar is attached.

  - Addition equation:  7+7+7=21

  - Multiplication equation: (3)(7)=21

  -  How are the equation related? Each equation shows 3 groups of 7.

Step-by-step explanation:

We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.

 Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).

Therefore:

- Add the numbers inside the blocks in order to get the addition equation that shows the number of  beads Jan buys. This is:

7+7+7=21

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

(3)(7)=21

The equations are related. Each one shows 3 groups of 7.

6 0
2 years ago
X^2=14x-49. i just dont know how to do the steps to solve this equation
KonstantinChe [14]
x^2=14x-49 \\ \\ x^2 - 14x + 49 = 0 \ / \ move \ terms \\ \\ x^2 - 2(x)(7) + 7^2 = 0 \ / \ rewrite \\ \\ (x - 7)^2 = 0 \ / \ square \ of \ difference \ method \\ \\ x - 7 = 0 \ / \ square \ root \ each \ side \\ \\ x = 7 \ / \ add \ 7 \\ \\

The answer is: x = 7.
5 0
3 years ago
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