Estimate 864/54 by first rounding each number so that it has only 1 nonzero digit.

A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hou

Zepler [3.9K]

As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.

Direct variation:

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

Direct variation equation: y = kx

Given,

A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.

Here we need to estimate how many hours it would take the restaurant to earn $25,000.

a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.

I = kh ⇒ Direct variation equation

Solve for k:

9,000 = (k)(4)

k = 9,000/4

k = 2,250

b) When income (I) = 25,000, find the number of hours:

I = kh

25,000 = (2,250) (h)

h = 25,000/2,250

h = 11.11

It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.

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4 0

1 year ago

Solve each equation 3y - 4 = 6 - 2y

ikadub [295]

Answer:

y = 2

Step-by-step explanation:

3y - 4 = 6 - 2y

+2y +2y

5y - 4 = 6 (new equation)

+4 +4

5y = 10 (new equation)

/5 /5

y = 2

4 0

2 years ago

8/7=x/5 what is the value of x round to the nearest tenth

faust18 [17]

Answer:

Step-by-step explanation:

$\frac{8}{7} = \frac{x}{5}$

To find x first cross multiply

We have

7x = 8 × 5

7x = 40

Divide both sides by 7

That's

$\frac{7x}{7} = \frac{40}{7}$

$x = \frac{40}{7}$

x = 5.7142

We have the final answer as

<h3>x = 5.7 to the nearest tenth</h3>

Hope this helps you

7 0

3 years ago

Read 2 more answers

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

Subtract.<br><br> (29v)−(−13v+59)

lbvjy [14]

Answer:

(29v)−(−13v+59)

29v + 13v - 59

42v -59

5 0

2 years ago

Read 2 more answers