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4 years ago

Which of these shows the result of using the first equation to substitute for y in the second equation then combing like terms

Mathematics

1 answer:

AnnyKZ [126]4 years ago

8 0

$2x + 3y = 55$

$2x + 3(3x) = 55$

$2x + 9x = 55$

$11x = 55$

$\frac{11x}{11} = \frac{55}{11}$

x=5

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Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip. Mrs. Owen's car uses 6 gallons of gas for a 210-mile trip. How many

Feliz [49]

Answer:

Mrs. Allan's Car will use 20 gallons of gas for 560 miles trip.

Mrs. Owen's Car will use 16 gallons of gas for 560 miles trip.

Step-by-step explanation:

Given:

Number of Miles for Mrs Allan car = 224 miles

Number of gallons of gas required = 8

We need to find the number of gallons of gas required for 560 miles for Mrs. Allan's car.

First we will find, in 1 gallons how many miles does Mrs Allan's Car drives.

For 8 gallons = 224 miles

So for 1 gallons = Number of miles in 1 gallon of gas

By using Unitary method we get;

Number of miles in 1 gallon of gas = $\frac{224}{8}= 28\ miles$

Now we know that;

for 28 miles = 1 gallon of gas is required.

So for 560 miles = Number of gallon of gas required in 560 miles.

Again by using Unitary method we get;

Number of gallon of gas required in 560 miles = $\frac{560}{28}= 20\ gallons$

Hence Mrs. Allan's Car will use 20 gallons of gas for 560 miles trip.

Also Given:

Number of Miles for Mrs Owen's car = 210 miles

Number of gallons of gas required = 6

We need to find the number of gallons of gas required for 560 miles for Mrs. Owen's car.

First we will find, in 1 gallons how many miles does Mrs Owen's Car drives.

For 6 gallons = 210 miles

So for 1 gallons = Number of miles in 1 gallon of gas

By using Unitary method we get;

Number of miles in 1 gallon of gas = $\frac{210}{6}= 35\ miles$

Now we know that;

for 35 miles = 1 gallon of gas is required.

So for 560 miles = Number of gallon of gas required in 560 miles.

Again by using Unitary method we get;

Number of gallon of gas required in 560 miles = $\frac{560}{35}= 16\ gallons$

Hence Mrs. Owen's Car will use 16 gallons of gas for 560 miles trip.

8 0

3 years ago

I accidentally forgot how to calculate height pls help! im in 6th grade btw

lozanna [386]

1: 9 1/3

2: 12 1/2

3: 14 3/4

Step-by-step explanation:

A=BH

H=A/B

B=A/H

B = Base

H = Height

A = Area

Hope this help!

8 0

2 years ago

Problem is attached, please show steps

In-s [12.5K]

Answer:

Step-by-step explanation:

$cos\theta=\frac{adjacent~side}{hypotenuse}=\frac{14\sqrt{2} }{21} =\frac{2\sqrt{2} }{3}$

4 0

3 years ago

Determine the area of the triangle.

coldgirl [10]

Answer:

396.8

Step-by-step explanation:

Multiply them to each other.

3 0

3 years ago

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A train traveling at a constant speed covers 320 miles in 4 hours. What equation can be used to model the distance, d miles, the

vivado [14]

Answer:

80d:1t

Step-by-step explanation:

320mi:4h

80mi:1h

80d:1t

Every hour the train travels 80 miles

7 0

2 years ago

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