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4 years ago

9. Khalid drove 66 miles on 3 gallons of gasoline. Which is the number of miles he could drive on 12 gallons of gasoline?

Mathematics

1 answer:

IrinaK [193]4 years ago

8 0

Answer:

264 miles

Step-by-step explanation:

Find the unit rate (mpg):

66 miles

----------------- = 22 mpg

3 gallons

On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles

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The graph shows the equation x2 + y2 = 5. Use the slider for a to move the vertical line on the graph. Based on the vertical

lidiya [134]

Answer: This equation is not a function.

Step-by-step explanation:

Ok, a function is something like a "machine".

It takes an input value, x, and transforms it into an output value, y.

Such that for every input x, the function can transform it into only one value of y.

for example, if we have a "function" f(x)

such that f(2) = 3 and f(2) = 4

(for the same input, x = 2, we have two different outputs)

Then this is not a function.

Now, the given equation is:

x^2 + y^2 = 5

This is actually the equation for a circle, centered at the point (0, 0) and with a radius equal to √5.

Then, if we want to transform it into y(x), we can see a problem

If x = 0, we have:

0^2 + y^2 = 5

y^2 = 5

then we have two possible values for y:

y = +√5

y = -√5

Then for one value of x, we have two values of y.

This means that this is not a function.

4 0

3 years ago

Which number is the same as ? A. -2 B. 1/8 C. 2 D. 32 E. 512

MissTica

Answer:

Step-by-step explanation:

$a^{-m}=\frac{1}{a^{m}}\\\\\frac{1}{a^{-m}}=a^{m}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}$

$(a^{m})^{n} = a^{m*n}$

In exponent multiplication, if two numbers have same base, just add the exponents

In exponent division, if two numbers have same base, just subtract the exponents

Prime factorize 4 = 2*2 = 2²

4⁻¹ *(2³÷ 4⁻² )= (2²)⁻¹ * ( 2³÷ (2²)⁻²

= (2⁻²)* (2³ ÷2⁻⁴)

$= 2^{-2} * (2^{3-[-4]})\\\\= 2^{-2} * (2^{3+4})\\\\= 2^{-2} * 2^{7}\\\\= 2^{-2+7}\\\\= 2^{5}\\\\= 2 * 2 * 2 * 2 * 2\\\\= 32$

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3 years ago

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Solve for y: 4y + 4 = -8

gtnhenbr [62]

The answer would be 1

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erik [133]

Answer:

65kg

Step-by-step explanation:

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3 years ago

The first year a baseball team debuted, one ticket cost 25$ After that, the price increased 2$ every year Write a linear equatio

QveST [7]

Answer:

Equation: y = 2x + 25

Step-by-step explanation:

Here x determines the number of year. For the first year,we will see ( 2 * 1 ) = $2 increase. In the second year, ( 2 * 2 ) =$4 increase and like this goes on, whereas the $25 being constant. "y" determines the total cost for each year.

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