K=10t−19<br> Find the output, k, when the input, t is, -7.

He rain caused the river to ride a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How ma

Kobotan [32]

To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

$\sf 6\dfrac{2}{3}\div\dfrac{2}{3}$

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

$\sf\dfrac{20}{3}\div\dfrac{2}{3}$

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

$\sf\dfrac{20}{3}\times\dfrac{3}{2}$

Multiply the numerators and denominators together:

$\sf\dfrac{60}{6}$

Simplify by dividing:

$\boxed{\sf 10}$

So it rained for 10 hours.

5 0

3 years ago

Sonya is paid $417.96 for 27 hours of work. taylor is paid $495.36 for 32 hours of work. which employee is paid a higher hourly

kap26 [50]

They got paid the same amount. If you divide 417.96 and 27, you get 15.48. And if you divide 495.36 and 32 you get 15.48.

I hope that helped you.

7 0

3 years ago

I need help with this problem PLEASE HELP

xxTIMURxx [149]

The domain of the function is: {-5, -3, -1, 1}

The range of the function is: {-5, -3, -1, 1}

<h3>How to Determine the Range and the Domain of a Function?</h3>

In any given graph that represents a function, the possible set of domain values are plotted on the x-axis (horizontal axis), while the possible set of corresponding range values are plotted on the y-axis (vertical axis).

Thus, the set of x-values (input values) on a graph is the domain of the function while the set of y-values (output values) is the range of the function.

In the given graph, the set of x-values are: -5, -3, -1, and 1.

The set of y-values are: -5, -3, -1, and 1.

Therefore:

The domain of the function is: {-5, -3, -1, 1}

The range of the function is: {-5, -3, -1, 1}

Learn more about the domain and range of a function on:

brainly.com/question/10197594

#SPJ1

7 0

1 year ago

Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. She decides to change the width, the shorter sid

trapecia [35]

Answer: 45 / 40 ft

Step-by-step explanation:

Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Actual width of shorter side = 45 ft

New width of shorter side = 40 ft

Scale factor is the ratio of the actual length to the new or intended length

Scale factor = Actual width / New width

Hence, scale factor :

45 ft / 40 ft

7 0

3 years ago

Ana is having dinner at a restaurant. Her bill before adding sales tax and tips is $23.20. The restaurant add the sales tax of 7

Aneli [31]

Start by finding 7% of the $23.20:

$\frac{7}{100} *23.20=1.624$

Now add this to $23.20:

$23.20+1.624=24.824$

Now, let's find 18% of this new total with tax to find the tip amount:

$\frac{18}{100} *24.824=4.46832$

This is the tip amount. And finally, let's add this to the 24.824:

$24.824+4.46832=29.29232$

Not sure if you were given any instructions about rounding, but Ana's cost will be around $29.29.

Hope this helps.

4 0

3 years ago

K=10t−19 Find the output, k, when the input, t is, -7.