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SpyIntel [72]
3 years ago
14

When evaluating proportions, we write the ratios in fractional form and then we

Mathematics
1 answer:
harkovskaia [24]3 years ago
7 0
Answer: set the cross product equal.

Explanation.

A proportion is the equality of two ratios.

For example:

1        6
--- = ------
3       18

You may use the proportions to find the value of an unknown quanity

For example

1        x
--- =  ----
3       24

So, if you want to solve for the unknown, the next step isto set the cross product equal:

1*24 = 3*x

=> 24 = 3x

From which you can obtain: x = 24 / 3 = 8
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When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a com
MArishka [77]

Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the <u>base salaries as the intercept and the commissions as the slope</u>, the functions are given by:

  • A(x) = 10000 + 0.09x.
  • B(x) = 20000 + 0.04x.

To produce a larger income in option A, it is needed that:

A(x) > B(x).

Hence:

10000 + 0.09x > 20000 + 0.04x

0.05x > 10000

x > 10000/0.05

x > 200,000

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0
1 year ago
Help me please &lt;3<br><br> place &lt;,&gt;, or = in the blank <br> 17/2 ________√70
Georgia [21]

Answer:

>

Step-by-step explanation:

17/5 is 8.5 but √70 is 8.3 something that for 17/2>√70

7 0
3 years ago
A beach ball rolls off a cliff and onto the beach. The height, in feet, of the beach ball can be modeled by the function h(t)=64
Karolina [17]

Answer:

rate of change = -32 feet/second

Step-by-step explanation:

h(t) = 64 – 16t2

t = time (seconds)

Look at the start of time where t = 0

h(t) = 64 - 16 * (0) * 2 = 64 feet

Then look at the specified time where t = 1.25 seconds

h(t) = 64 - 16 * (1.25sec) * 2 = 24 feet

rate of change = rate of change y / rate of change x

x = time, y = height

rate of change = (24 - 64) / (1.25 - 0) = -32 feet/second

4 0
2 years ago
Read 2 more answers
a cone has a volume of 6 cubic inches. what is the volume of a cylinder that the cone fits exactly inside of
ella [17]

Answer:

= 18 cubic inches

Step-by-step explanation:

The volume of a cone is given by the formula;

V = 1/3 × base area × height

While that of cylinder is given by the formula;

Volume = Base area × height

Since we need the cylinder to fit exactly inside the cone, then it  means that their bases are the same and heights are the same.

Therefore;

The cone has three times less volume compared to the cylinder.

Thus;

Volume of the cylinder = Volume of cone × 3

                                       = 6 In³ × 3

                                       <u>= 18 cubic inches</u>

5 0
3 years ago
Solving the equation:-9h-6+ 12h +40=20
MakcuM [25]
12h-9h=3h move everything else to other side
3h=20-40+6
3h=-14
divide by 3 
h=-14/3
5 0
3 years ago
Read 2 more answers
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