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Vika [28.1K]
3 years ago
11

Question 3 (10 points)

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

$10,000

Step-by-step explanation:

6% of 10000 = 0.06 × 10000 = 600

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One positive number is 9 more than twice another. If their product is 95, find the numbers.
mafiozo [28]

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be x\ and\ y.

So:

x = 9 + 2y --- First statement

x*y = 95 --- second statement

Required

Find x and y

Substitute x = 9 + 2y in x*y = 95

(9 + 2y) * y = 95

9y + 2y^2 = 95

Rewrite as:

2y^2 + 9y - 95 = 0

Expand

2y^2 -10y +19y- 95 = 0

Factorize

2y(y -5) +19(y- 5) = 0

(2y  +19)(y- 5) = 0

Solve for y

2y + 19 =0 or y - 5 = 0

2y = -19 or y = 5

y = -\frac{19}{2} or y=5

Since the numbers are positive, we take only:

y=5

Substitute y=5 in x = 9 + 2y

x = 9 + 2 * 5

x = 9 + 10

x = 19

<em>The numbers are 19 and 5</em>

5 0
3 years ago
This histogram shows the number of shoppers in various age groups at a clothing store.
kogti [31]
12 shoppers are above 20 years old
4 0
3 years ago
Drag each pair of rates to the correct location on the table.
Masteriza [31]

Answer:

36/6 and 6/1 is equivalent

20/5 and 3/1 is not equivalent

18/3 and 9/1 is not equivalent

35/7 and 5/1 is equivalent

32/4 and 8/1 is equivalent

100/10 and 5/1 is not equivalent.

Step-by-step explanation:

36 divided by 6 is 6.

20 divided by 5 is 4.

18 divided by 3 is 6.

35 divers by 7 is 5.

32 divided by 4 is 8.

100 divided by 10 is 10.

8 0
3 years ago
Calculate the total sale amount of a shirt given the following information: selling price of shirt =
Readme [11.4K]
43.6 is how much the shirt would cost including sales tax
7 0
3 years ago
A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.
Leni [432]

Answer: 331.5 inches²

Step-by-step explanation:

To solve for the area of a regular octagon, we can use the formula that is shown below:

Area = 1/2 × apothem × perimeter

In this problem, we have been given the following values:

Apothem = 10 inches

Perimeter = 66.3 inches

To solve for the area,

Area = 1/2 × apothem × perimeter

Area = 1/2 × 10 × 66.3

Area = 331.5 inches²

4 0
3 years ago
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