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3 years ago

Write and solve a system of equations to find the value of each variable

Mathematics

1 answer:

ozzi3 years ago

3 0

Answer:

Step-by-step explanation:

2x+5y=12

3x+4y=11

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3(2x+5y)=3(12)

-2(3x+4y)=-2(11)

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6x+15y=36

-6x-8y=-22

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7y=14

y=14/7=2

2x+5(2)=12

2x+10=12

2x=12-10=2

x=2/2=1

x=1, y=2. (1, 2)

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I just provided you an example of a system of equations and I already solved it for you.

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cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

$s=\frac{d}{t}$

The distance is equal to multiply the speed by the time

$d=st$

we know that

$18\ min=\frac{18}{60}\ hours$

The distance to his friend's house and the distance of return is the same

$10x=4(x+\frac{18}{60})$

solve for x

$10x=4x+\frac{18}{15}$

subtract 4x both sides

$10x-4x=\frac{18}{15}$

$6x=\frac{18}{15}$

$x=\frac{1}{5}\ hours$

The total distance of the round trip is

$y=10x+4x+\frac{18}{15}$

substitute the value of x

$y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}$

$y=2+2=4\ miles$

6 0

3 years ago

If x=1/2y, which expression represents 1/x? 1/2y 2y -1/2y -2y

icang [17]

X=1/2y
so 1/x=2y simple

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2 years ago

Find the domain and range?

Nostrana [21]

What do u want to find the domain and range of?

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3 years ago

The store is selling lemons at $0.58 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l

avanturin [10]

Answer:

$4.64

Step-by-step explanation:

1 cup = 16 tablespoons

$\frac{1}{2}$ cup = 8 tablespoons

Each lemon yields about 2 tablespoons of juice. You need 8 tablespoons for one lemon pie, so you need $8\div 2=4$ lemons for one pie and $4\times 2=8$ lemons for two pies.

The store is selling lemons at $0.58 each, hence, 8 lemons will cost

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marin [14]

Answer:

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Step-by-step explanation:

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