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Charra [1.4K]
3 years ago
8

8. Solve.

Mathematics
1 answer:
trapecia [35]3 years ago
3 0

Answer:

48 assistants

Step-by-step explanation:

If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.

Thus:

1.5 assistants to 1 executive = x assistants to 32 executives

1.5 : 1 = x : 32

\frac{1.5}{1} = \frac{x}{32}

Cross multiply

1.5*32 = x*1

48 = x

Therefore, 48 assistants were employed in the office.

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Algebra help please? thank you SO much in advance!
Harman [31]
X(x + 3)  + x(x - 3) = 2
x^2 + 3x +x^2 - 3x = 2
2x^2 = 2
x^2 = 1
x = +1 and x = -1

answer 
x = +1 and x = -1
6 0
3 years ago
Help with #2 it has to do with number 1 that is the polygon you need to find the area of it.
Katena32 [7]
Okay, it's the equation to how find area any other way. A=L×W

This means *picture above*

So then you count over each line meaning 1.
This means L=9 and a 1/2. Since its in between the 2 an 3 on the x-axis.
Now for W or width. It equals 3 since you can count 2 lines and one either ends of the polygon is 1/2 each this creates one when added together.

All you do from there is multiply 9 and 3. This should give you A=area.

8 0
3 years ago
A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only
Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

P = \frac{n+2}{n+8}

We want P = 0.60. So

0.6 = \frac{n+2}{n+8}

n+2 = 0.6*(n+8)

n + 2 = 0.6n + 4.8

n - 0.6n = 4.8 - 2

0.4n = 2.8

n = \frac{2.8}{0.4}

n = 7

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

5 0
3 years ago
G = (5,-10),(25,-50),(50,100)
Murrr4er [49]
This is the answer not sure if you wanted it graph or not

8 0
3 years ago
4
Natali [406]

The ratio of the area of ∆ABC to the area of ∆DEF is; 1:100.

<h3>What is the ratio of the area of ∆ABC to the area of ∆DEF?</h3>

Since, a major criterion for similarity and congruence of triangles is that the ratio of corresponding sides are equal.

On this note, since the task content suggest that the ratio of the perimeters is; 1:10, it follows from conventional mathematics that the ratio of their areas is given as; 1²:10²; 1:100.

Read more on congruent triangles;

brainly.com/question/9217675

#SPJ1

8 0
2 years ago
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