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cluponka [151]
3 years ago
12

In the Pi Corporation, 4/5 of the managers are female. If there are 64 female managers, how many managers in total are there? Ho

w many male managers?
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0

Step-by-step explanation:

\frac{4}{5}  = 64 \\  \frac{1}{5}  = 64 \div 4 \\ \:  \:  \:  \:  \:  \:   = 16 \\ total \: managers \:  = 16 \times 5 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 80 \\ number \: of \: male \:  \: managers \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{5}{5}  -  \frac{4}{5}  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{1}{5}  = 16

<em>hop</em><em>e</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>

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6 0
2 years ago
80 POINTS! WILL GIVE BRAINLY
PSYCHO15rus [73]

Answer:

Step-by-step explanation: No, Gavin is not correct because 284.42 is less than 400 the equation is 200(1+0.09/2)^8 when solved you get 284.42 which is not enough.

Step-by-step explanation:

simplifying this

Ok so do 0.09/2 which is 0.045 then add 1 so you get 200•1.045^8 then you do 1.045^8= 1.422100.... so I did 1.422100•200 to get the final answer of 284.42

8 0
3 years ago
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Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each box had 10 crayons. How many crayons were left over
yarga [219]
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4 years ago
Two car washes charge a basic fee plus a fee based on the number of extras that
mezya [45]

<u><em>Answer:</em></u>

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

<u><em>Explanation:</em></u>

The complete question is shown in the attached diagram

<u>The general form of the linear equation is:</u>

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

<u>For the first car wash, we are given the equation:</u>

y₁ = x + 9

<u>Now, we will start by getting the equation for the second car wash:</u>

<u>1- getting the slope:</u>

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5

The equation now is: y = 1.5x+c

<u>2- getting the y-intercept:</u>

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

<u>The equation for the second car wash is:</u>

y₂ = 1.5x + 6

<u>Part 1:</u>

As mentioned above, the y-intercept represents the basic fee

<u>For the first car wash:</u>

y₁ = x + 9 ................> The basic fee is $9

<u>For the second car wash:</u>

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

<u>Part 2:</u>

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

<u>Let's verify:</u>

<u>For x = 6:</u>

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

6 0
3 years ago
Can someone please help me with these questions?
Dmitrij [34]

Expanded form is writing out everything and no simplifying.

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Hope this helps :)

8 0
3 years ago
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