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jek_recluse [69]
3 years ago
9

Abby works in the sales department. This month the company is offering a 3-week paid vacation to every employee who sells 230% o

f the amount sold last month. If Abby sold $48,000 products last month, how much does she need to sell this month to earn the vacation?
Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0
$110,400.

hope this helps you(:
if not plz let me know(:
kondaur [170]3 years ago
3 0
$110,400 products this month because $48,000(230%)=$110,400.
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A sum of rs.2520 is divided in the ratio 3:4 . find the part in each term.​
kaheart [24]

Answer:

total \: ratio  = 3 + 4 = 7 \\  =  >2520 \div   \frac{3}{7}  = 5880 \\  =  > 2520 \div  \frac{4}{7}  = 4410

7 0
3 years ago
Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 s
mrs_skeptik [129]

Answer:

1. Base of pyramid; 6 in by 6 in

2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.

3. twice the area of the square

4. Area = 228 inches squared

Step-by-step explanation:

For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.

<h3>Step 1. Add all surface areas together</h3>

Prism: 6 surfaces

Surface area = 216 inches sq

  • Front = 6 x 6 = 36
  • Back = 6 x 6 = 36
  • Top = 6 x 6 = 36
  • Bottom (base) = 6 x 6 = 36
  • Side = 6 x 6 = 36
  • Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

  • Bottom (base) = 6 x 6 = 36
  • Front triangle = (6 x 4)/2 = 12
  • Back = (6 x 4)/2 = 12
  • Side = (6 x 4)/2 = 12
  • Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

<h3>Step 2. Subtract surfaces that are NOT being painted</h3>

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

<u>228 inches sq</u>

Hope this helps!

Download pdf
5 0
2 years ago
What is the slope of the line?
Katyanochek1 [597]

Answer:

1

Step-by-step explanation:

slope (k) is the rise over run of the line

a way of finding the slope if you have two dots of the line is:

k \:  =  \frac{y2 - y2}{x2 - x2}

here the dots that belong to the line that you can most easily see are:

A(-6,0)

B(0,6)

by inserting the values into the euquation you get:

\frac{6 - 0}{0 - ( - 6)}  =  \frac{6}{6}  = 1

good luck with your maths solving

6 0
2 years ago
What is the answer for 14a³ - 22a we have to Factorise it​
sveta [45]

Answer: 2a (7a² - 11).

5 0
3 years ago
Read 2 more answers
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
3 years ago
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