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2 years ago

Paint cost $9.95 per gallon.Nikki needs 2.5 gallons to complete a painting project. How much will Nikki spend on paint

Mathematics

2 answers:

marta [7]2 years ago

4 0

Answer:

$24.875

Step-by-step explanation:

If we use an equation to solve the total amount, like y=9.95x where x is the gallons purchased. We then multiply 9.95 by 2.5 to get 24.875

goldenfox [79]2 years ago

3 0

Anwser: 24.875!! Im pretty sure at least

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Masja [62]

Answer:

letter a

Step-by-step explanation:

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3 years ago

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Use the Distributive Property to rewrite each expression. -7 (5 - n)

daser333 [38]

The answer is

-35 - 7n

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3 years ago

Mr. Douglas drove 2,482 miles. He spent 42.5 hours in the car driving. What was his avrage speed for the trip?

Readme [11.4K]

Use the formula speed=distance/time, or s=d/t.

Substitute 2,482 for d and 42.5 for t.

s=2,482/42.5

Simply divide for the answer:

Mr. Douglas' average speed for the trip was 58.4 miles per hour.

I hope this helps! ^_^

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3 years ago

Help no links please

Ludmilka [50]

Answer:

180

Step-by-step explanation:

The difference between 68 and 23 is 45. The company charging 23$ has to be 45$ more for the amount of hours. When you multiply 180 by .4 you get 72, and when you multiply 180 by .65 you get 117. The difference is 45.

Sorry that I didn't show my work, I don't really know how to do this other than plugging in random numbers and 180 fits so...

Hope this helps!

3 0

3 years ago

Identify the interval on which the quadratic function is positive.

Alenkasestr [34]

Answer:

$\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}$

$\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}$

Step-by-step explanation:

<h3>Question 1</h3>

The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.

As the given quadratic function has a negative leading coefficient, the parabola opens downwards. Therefore, the interval on which y > 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

$\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}$

Apply the zero-product property:

$\implies x-1=0 \implies x=1$

$\implies x-4=0 \implies x=4$

Therefore, the interval on which the function is positive is:

Solution: 1 < x < 4
Interval notation: (1, 4)

<h3>Question 2</h3>

The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.

As the given quadratic function has a positive leading coefficient, the parabola opens upwards. Therefore, the interval on which y < 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

$\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}$

Apply the zero-product property:

$\implies x+2=0 \implies x=-2$

$\implies x-4=0 \implies x=4$

Therefore, the interval on which the function is negative is:

Solution: -2 < x < 4
Interval notation: (-2, 4)

3 0

8 months ago