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iris [78.8K]
3 years ago
10

1. In a certain company, 30 percent of the men and 20 percent of the women attend night school. If 40

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Answer: 24% of all employees attend night school.

Step-by-step explanation: If 40% of all employees are men and 30% of the men attend night school, we can multiply 0.40 by 0.30 to get the percentage of men who attend night school: 12% or 0.12. To find the number of women who attend night school, multiply 0.20 by 0.60(assuming percentage of men and women add up to 100%) to get 12%. Add 12% and 12% to get 24% of all employees attend night school.


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Solve the equation: log3 ( x^9) =12
saul85 [17]
I hope this helps....

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3 years ago
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Help? im confused plss!<br> Find the area of the regular polygon with the given radius or apothem
Snezhnost [94]

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

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<em>Alternate solution</em>

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

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<em>Additional comment</em>

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

8 0
2 years ago
Please help! Important
guapka [62]
Add the two angles and set them equal to 180, them solve for x
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3 years ago
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Please answer below!
Artist 52 [7]

Answer:

the terms are 400n , 62n 120 and 8n

the number of coefficients is 3

equa expression  is 346n+120

Step-by-step explanation:1

Combining like terms 400n400n and -62n−62n

338n+120+8n

338n+120+8n

2 Combining like terms 338n338n and 8n8n

346n+120

346n+120

For the rest of them i just counted.

8 0
3 years ago
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Margie babysits for two families. Mr. and Mrs. Smith pay her $6.50 an hour to babysit their son, Shea. Mr. and Mrs. Jones pay Ma
rodikova [14]

Answer:

A) \$ 6.5\timesx is the expression to represent total amount of money she earns babysitting for Smith family.

B) \$45.5 she will earn for Smith family for 7 hours

C) It would take 12 \ hrs for Margie to make \$78 when babysitting for the Smith family

Step-by-step explanation:

Given.

Mr. and Mrs. Smith pay Margie \$6.50 an hour to babysit their son, Shea.

Mr. and Mrs. Jones pay Margie $8 an hour to babysit their children, Sarah, Susan, and Dawn.

Let x be number of hours.

Solving for Part A.

Amount of Money earn from Smith family = Pay per hour \times Number of hours =\$ 6.5 \times x= \$ 6.5x

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x=7

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Solving for part C.

Margie earned = \$ 78

To find number of hours

No of hour Margie has done babysitting for Smith family x=\frac{\$78}{\$6.5}=12 \ hrs

6 0
3 years ago
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