All categories

3 years ago

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:

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 the number we want to find: female PhDs.

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.

You might be interested in

If a square has a perimeter of 36 in. what is the Circumstances of the circle?given the exact answer in terms of pi.

vfiekz [6]

Answer:

a)B)9π

b)G)16π in²

Step-by-step explanation:

according to the question

$64 \times \frac{\pi}{4}$

$16\pi \: {in}^{2}$

as we know

C/d=π

C=dπ

Therefore

C=9π

6 0

3 years ago

A walker and a cyclist are 45 miles apart. They move towards each other with speeds of 5 mph and 10 mph respectively. In how man

Ymorist [56]

Answer: they will meet after 3 hours.

Step-by-step explanation:

Let t represent the number of hours it will take them to meet.

A walker and a cyclist are 45 miles apart. If they move towards each other, in t hours, they would have covered a total of 45 miles

Distance = speed × time

They move towards each other with speeds of 5 mph and 10 mph respectively. It means that the distance covered by the walker in t hours is 5 × t = 5t

Also, the distance covered by the cyclist in t hours is 10 × t = 10t

Since the total distance covered us 45 miles, then

5t + 10t = 45

15t = 45

t = 45/15

t = 3 hours

4 0

3 years ago

Jodie bought some shirts for $6 each. Marge bought some shirts for $8 each. The girls spent the same amount of money on shirts

FrozenT [24]

Answer:

The least amount of money they could have spent is $24

Explanation:

To get the least amount of money they could have spent, we will need to get the lowest common multiple of both numbers (6 and 8).

This means that we need to find that least number that is found in both multiplication tables

Multiples of 6:

6 * 1 = 6

6 * 2 = 12

6 * 3 = 18

6 * 4 = 24

Multiples of 8:

8 * 1 = 8

8 * 2 = 16

8 * 3 = 24

Noticing the two multiples, we can note that the lowest common multiple is 24.

This means that the lowest amount they could have spent is 24

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Find the volume of this composite figure

sattari [20]

Answer:

the volume of the figure is 180cm^3

Step-by-step explanation:

7 0

3 years ago

Point J is on line segment IK. Given JK = 2x - 1,IK = 3x + 2, and IJ = 3x - 5, determine the numerical length of JK. Answer: JK

stiks02 [169]

Answer:

Step-by-step explanation:

set up the equation: JK+IJ=IK

(2x-1)+(3x-5)=(3x+2)

calculate the equation and you will get x=4

put 4 into JK

2(4)-1=7

5 0

3 years ago