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Rina8888 [55]
3 years ago
6

John earns $25 per hour as a part-time firefighter. If John works 30 hours per week, how much does he earn that week?

Mathematics
1 answer:
Tanzania [10]3 years ago
8 0

Answer: $750

Step-by-step explanation:

So we know that he earns $25 per hour, and we want to know how much he earns if he worked for 30 hours which is a week.

25=1

?=30

then we can cross multiply which is

\frac{25(30)}{1}=750

so the answer is John earns $750 a week.

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A trucker handed in a ticket at a toll booth showing that in 2 hours she had covered 159 on a toll road with a posted speed limi
Nimfa-mama [501]

Answer:

overspeeding,

see if we calculate the speed or average speed,

it would be 159/2 which would be 79.5mph,

so as posted speed was 65mph, but the average speed was 79.5mph(Meaning most of the time she would have been above 65 mph), So,

She would have been charged with overspeeding

HOPE IT HELPS

BYE!

4 0
2 years ago
Name the property shown by the statement.<br> 2 + 5 = 7
Softa [21]
Property of addition
6 0
3 years ago
What is the slope intercept form of 10x + 2y =8
antoniya [11.8K]

Slope intercept form is: y = mx + b


Isolate the y. First subtract 10x from both sides


10x (-10x) + 2y = 8 (-10x)


2y = -10x + 8


Isolate the y. Divide 2 from both sides and <em>all</em> terms.


(2y)/2 = (-10x + 8)/2


y = -5x + 4


y = -5x + 4 is your slope intercept form answer.



hope this helps

7 0
3 years ago
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price
likoan [24]

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: y=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

f(x) = 0.69(1.03)^x

The base (b) is 1.03.  As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%

Check using different two consecutive values of f(t):

\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

  • a = 10,100
  • b = 1.01
  • n = t - 1 (as the initial value is for t = 1 not t = 0)

\implies f(t) = 10100(1.01)^{t-1}

To check this, substitute the values of t for 1 through 4 into the found function:

\implies f(1) = 10100(1.01)^{1-1}=10100

\implies f(2) = 10100(1.01)^{2-1}=10201

\implies f(3) = 10100(1.01)^{3-1}=10303.01

\implies f(4) = 10100(1.01)^{4-1}=10406.04

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0
2 years ago
The coordinates of the endpoint of a line segments are -3, -5. The line segment is 11 units long. What are the other possible en
Anettt [7]

Answer:

8, 6.

x=8 y=6

Step-by-step explanation:

-3 + 11 = +8

-5 + 11 = +6

8 0
3 years ago
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