Mathematics, 24.02.2020 11:11 limelight11

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Define a variable and write an equation for each real-world problem

Need help ASAP please help me Define a variable and write an equation for each real-world problem

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Answer from: Daniah2206

Part 1) x+2.25=6.50

Part 2) s+2.25=6.50

Part 3) 25w=600

Part 4) $\frac{1}{4}d=1.5$

Part 5) 7.25h=87

Part 6) $\frac{1}{2}x=63.75$

Part 7) see the explanation

Part 8) see the explanation

Step-by-step explanation:

Part 1)

Let

x ----> the amount that Jackson spent on his lunch

we know that

The amount that Jackson spent on his lunch plus $2.25 is equal to the amount that Matt spent on his lunch

The linear equation that represent this situation is

x+2.25=6.50

$x=\$4.25$

Part 2)

Let

s ----> the number of seats in gymnasium

we know that

The number of seats in gymnasium minus 112 is equal to the number of seats in auditorium

The linear equation that represent this situation is

s-112=600

$s=712\ seats$

Part 3)

Let

w ----> the number of weeks

we know that

The number of weeks multiplied by $25 per week must be equal to $600

The linear equation that represent this situation is

25w=600

$w=24\ weeks$

Part 4)

Let

d -----> distance that Carolyn ran

we know that

One fourth the distance that Carolyn ran is equal to the distance that Erin ran

The linear equation that represent this situation is

$\frac{1}{4}d=1.5$

$d=6\ miles$

Part 5)

Let

h ----> the number of hours worked at the grocery store

we know that

The number of hours worked multiplied by $7.25 per hour must be equal to $87

The linear equation that represent this situation is

7.25h=87

$h=12\ hours$

Part 6)

Let

x -----> Emilio's savings

we know that

One half of Emilio's savings is equal to $63.75

The linear equation that represent this situation is

$\frac{1}{2}x=63.75$

$x=\$127.50$

Part 7) we have

14x=21

Let

x ----> the number of hours

Real world problem

Ben earns $14 per hour in the forex market. In how many hours he will have earned $21?

Part 8) we have

y+20=85

Let

y----> the amount that Carlos spent on his dinner

Real world problem

Mark spent $85 on his dinner. This is $20 more than his friend Carlos spent on his dinner. How much did Carlos spent on his dinner?

Answer from: Quest

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

Answer from: Quest

the answer is 13/48

step-by-step explanation:

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