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4 years ago

10

Solve the following system of equations: x - 2y = 14 x + 3y = 9

1 answer:

Margarita [4]4 years ago

3 0

Solve your system of equations step by step.

x−2y=14;x+3y=9

Solve x−2y=14 for x:

x−2y+2y=14+2y (Add 2y to both sides)

x=2y+14

Substitute (2y+14) for x in x+3y=9:

x+3y=9

2y+14+3y=9

5y+14=9(Simplify both sides of the equation)

5y+14+−14=9+−14 (Add -14 to both sides)

5y=−5

5y5=−55 (Divide both sides by 5)

y=−1

Substitute (−1) for y in x=2y+14:

x=2y+14

x=(2)(−1)+14

x=12(Simplify both sides of the equation)

So,

y=-1
x=12

Answer is C)

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3 0

3 years ago

Read 2 more answers

Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre

Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow $1\frac{1}{5}\ acres$ in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

$1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}$

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow $\frac{1}{2}\ acre$ in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

$\frac{\frac{1}{2}}{25}=\frac{x}{60}$

Solving for "x", you get:

$\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}$

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

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

Therefore, she can mow $1\frac{1}{5}\ acres$ in one hour.

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3 years ago

You have checked model income statements and estimate your payroll expense will be 36% of revenue. You expect sales to be $9,000

aksik [14]

Answer:

Budget annual payroll = $168,480

Step-by-step explanation:

Given:

Expect sales per week = $9,000

Revenue over sales = 36% = 0.36

Find:

Budget annual payroll = ?

Computation:

Assume number of week per year = 52

⇒ Budget annual payroll = Expect sales per week × Number of week per year × Revenue over sales

⇒ Budget annual payroll = $9,000 × 52 × 0.36

⇒ Budget annual payroll = $168,480

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4 years ago

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Aleks [24]

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3 years ago

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IgorC [24]

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3 years ago