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lawyer [7]
3 years ago
6

Write an algebraic expression To Represent the Pay in dollars For Working "x" hours at a rate of eight dollars and seventy-Five

Cent per hour
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

y=8.75x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In this problem we have a proportional variation

Let

y ----> the pay in dollars

x ----> the number of hours worked

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin.

The slope or constant of proportionality in this problem is equal to

k=\$8.75\ per\ hour

substitute

The algebraic expression is equal to

y=8.75x

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If it takes 5 years for an animal population to double, how many years will it take until the population
muminat

9514 1404 393

Answer:

  7.92 years

Step-by-step explanation:

We want to find t such that ...

  3 = 2^(t/5)

where 2^(t/5) is the annual multiplier when doubling time is 5 years.

Taking logs, we have ...

  log(3) = (t/5)log(2)

  t = 5·log(3)/log(2) ≈ 7.92 . . . years

It will take about 7.92 years for the population to triple.

6 0
3 years ago
Hayley is buying herbs. She wants to buy   ounce of basil. The scale she is using to weigh the basil displays the weight as
victus00 [196]

Complete question :

Hayley is buying herbs. She wants to buy 5/6  ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.

Answer:

0.8

Step-by-step explanation:

To obtain the fractional expression of weight in decimal form:

5/ 6 ounce of bassil is converted into decimal :

5 / 6 = 0.8333

Hence, for a fraction of 5 /6, we obtain;

5/6 = 0.8333

To the nearest tenth :

0.8

7 0
3 years ago
Stacie is choosing between two careers. Working for company A, Stacie will make $45,000 the first year and will receive an addit
fomenos

The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is

S=\frac{n}{2}(2a +(n-1)d)

Where a is the first term, n is the nth term, d is the common difference

On substituting there values,we will get

S =\frac{30}{2}(2*42000+(30-1)1800)

= 15(84000+52200) = 15*136200 =2043000

And for company A, it is

S= \frac{30}{2}(2*45000+(30-1)1500 ) = 15(90000+43500)=2002500

Difference between them =2043000-2002500= 40500

So the correct option is the second option .

6 0
3 years ago
A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$90​, what would the typical tip​ be?
Lana71 [14]

Answer:

$13.50 typical tip

Step-by-step explanation:

So to find the percentage

multiply 0.15*90

You’ll get 13.5

6 0
2 years ago
Read 2 more answers
Given: Circumscribed ABCD, AB=5,<br><br>AD=8, CD=10.<br><br> Find: BC
Lyrx [107]

Answer:

BC=7

Step-by-step explanation:

The circle can be circumscribed into the quadrilateral, if the sums of the opposite sides of the quadrilateral are eqaul.

Thus,

AB+CD=AD+BC,\\ \\8+BC=5+10,\\ \\BC=15-8=7.

5 0
3 years ago
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