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3 years ago

Mr.Wallace receives 10% commission on each sale that he makes. He earned $450 last week in commissions.How much were his sales?

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

4500 dollars

Step-by-step explanation:

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exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

2 years ago

What is the Mean,Mode and range of the set below?:

Zepler [3.9K]

Answer:

Set of numbers: 5, 6, 8, 10, 11, 15, 17, 25, 29, 29, 41, 50, 51, 52, 52, 54, 56, 57, 57

Mean: 32.89

Median: 29

Mode: 29, 52, 57

Range: 52

Step-by-step explanation:

The numbers are already ordered for us, so to find the mean, we need to add the numbers and divide the sum by the number of numbers. This gives us about 32.89.

The median is the middle number in the set, so right in the middle of the set is 29.

The range is the biggest number minus the smallest number, which would be 57-5 = 52.

Mode is the value or values in the data set that occur most frequently, which would be 29, 52, and 57, because they all occur the same number of times.

Happy learning and sorry for the late answer!

--Applepi101

7 0

2 years ago

Read 2 more answers

Using the formula below, find F, when f = 1000 and r = 8

Kaylis [27]

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

5 0

3 years ago