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dybincka [34]
3 years ago
6

4. In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

  8

Step-by-step explanation:

We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.

By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.

The number of male non-PhDs is twice the number of male PhDs, so we have ...

  2(14 -x) = 20 -x

  28 -2x = 20 -x . . . . eliminate parentheses

  8 = x . . . . . . . . . . . .add 2x-20

The number of female faculty with PhDs is 8.

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Joe sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Joe made $20 at the bake sale. How man
AURORKA [14]

Answer:

4 cookies

Step-by-step explanation:

Let the number of cookies he sold be c and that of brownies be b.

Assuming that brownies and cookies are the only type of baked goods sold,

b +c= 10 -----(1)

Amount of money received= $20

b(cost of brownie) +c(cost of cookie)= $20

2.50b +1.25c= 20 -----(2)

From (1): b= 10 -c -----(3)

Substitute (3) into (2):

2.50(10 -c) +1.25c= 20

Expand:

2.50(10) +2.50(-c) +1.25c= 20

25 -2.50c +1.25c= 20

-1.25c +25= 20

Being constants to 1 side:

-1.25c= 20 -25

-1.25c= -5

c= -5 ÷(-1.25)

c= 4

Thus, Joe sold 4 cookies.

8 0
3 years ago
What's the measurement of x?<br><br> Pls answer A.S.A.P
WITCHER [35]

36

Step-by-step explanation:

360/2=180

180/5=36

7 0
3 years ago
Read 2 more answers
The following sequence has first five terms as: -20, -17, -14, -11, -8, .......... Find an expression for the nth term of the se
Maslowich

Answer:

a(n) = -20 + 3(n - 1)

Step-by-step explanation:

a(n) = -20 + 3(n - 1)

4 0
3 years ago
Solve - y = 34. Then graph the solution.
inysia [295]

divide both sides by a negative one to get ride of the -y then on your graph it be a horizontal line at the point (0,-34)

8 0
3 years ago
7 Carolina fosters 5 puppies. For each puppy she buys a crate that costs c dollars
Elena L [17]

2 Answers:

Choice B and Choice C

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

Reasoning:

c = cost of one crate (some unknown amount in dollars)

c+20 = cost of a crate and a leash

5(c+20) = cost of five sets of items mentioned

5(c+20) = 475 is one equation we can form

5c+100 = 475 is another equation we can form

I used the distributive rule to go from 5(c+20) to 5c+100.

The 100 indicates that the five leashes combine to $100, since 5*20 = 100.

The 5c represents the cost of all five crates combined.

So 5c+100 is another way to express the total cost of all five crates and all five leashes.

---------------

Side note: Solving either equation leads to c = 75, meaning that each crate costs $75.

4 0
2 years ago
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