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3 years ago

What is a conversion factor that you can use to convert gallons to pints? How did you find it?

Mathematics

1 answer:

dalvyx [7]3 years ago

7 0

You use 1 gallon is equal to 8 pints

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Solve the system of equations using the substitution method.

Delicious77 [7]

Answer:

$x = 14$

$y = -3$

Step-by-step explanation:

Given

$2x + 8y =4$

$x = -3y + 5$

Required

Solve

Substitute $x = -3y + 5$ in $2x + 8y =4$

$2(-3y + 5) + 8y =4$

Open bracket

$-6y + 10 + 8y =4$

Collect like terms

$-6y + 8y =4-10$

$2y =-6$

Divide both sides by 2

$y = -3$

Substitute $y = -3$ in $x = -3y + 5$

$x = -3 * -3 + 5$

$x = 9+ 5$

$x = 14$

8 0

2 years ago

What are angles that are equal called?

jonny [76]

I think the word you're looking for is congruent. Congruent angles always have the same angles.

8 0

3 years ago

Ms. Jackson bought a new car. It cost $9,360. She paid 10% As a down payment. How much was her down payment?

BigorU [14]

Answer:

$936

Step-by-step explanation:

10% is just divided by 10 so 9360 divided by 10 is 936

7 0

2 years ago

After breaking your penny bank, you notice that you have $4.87 in quarters ($0.25), dimes ($0.10), nickels ($0.05), and pennies

ira [324]

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of dimes be 'x'.

Let the number of nickels be ' $\dfrac{3}{2}x$ '.

Let the number of pennies be $\dfrac{3}{2}\times 2x=3x$

Let the number of quarters be '3x-34'.

As we know that

1 quarter = $0.25

1 dime = $0.10

1 nickel = $0.05

1 penny = $0.01

According to question, we get that

$0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14$

So, the number of pennies is given by

$3x=3\times 14=42$

Hence, Option 'c' is correct.

3 0

2 years ago

Is -4 less than or greater than -6?

Aleks [24]

Answer:

-4 is greater then -6

Step-by-step explanation:

-4 is closer to 0

3 0

2 years ago

Read 2 more answers