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OLga [1]
3 years ago
15

Darren teaches a class of 25 students. He assigns homework 3 times a week, and each assignment consists of 12 problems. How many

problems must Darren correct each week?
Mathematics
1 answer:
Pie3 years ago
5 0
12 problems in each assignment and he assigns the assignments 3 times a week. He has 25 students. Therefor...

12 x 3 = 36

36 x 25 = 900

Answer: 900
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A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic
MAVERICK [17]

Answer:

The cream cone should be <u>6 inches</u>.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

Volume=\frac{4}{3} \pi r^3

Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.

<em>Thus, the volume of the ice cream scoop is 14.13 cubic inches.</em>

<em>So, to put all of the ice cream inside the cone.</em>

<em>We take the cream cone volume as the scoop volume.</em>

Let the height of cone be h.

<em>As, given radius is same.</em>

Now, to get the height of the cream cone we put formula of volume:

Volume=\pi r^2\frac{h}{3}

14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}

<em>Multiplying both sides by 3 we get:</em>

<em />42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h<em />

<em>Dividing both sides by 7.065 we get:</em>

6=h

h=6\ inches.

<u><em>Hence, the height of the cone = 6 inches.</em></u>

Therefore, the cream cone should be 6 inches.

7 0
3 years ago
maurice bought a car costing £8248. he paid a deposit of £1975 and 6 monthly instalments of £511. estimate the amount maurice st
Maurinko [17]

Hello :D

£8000 - £2000 = £6000

6 x 500 = £3000

£6000 - £3000

3 0
2 years ago
Through: (4,- 4), perp. to y = -4x - 2
amid [387]

Answer:

Step-by-step explanation:

y = -4x - 2

slope of line = -4

slope of perpendicular to line = ¼

Point-slope equation for line of slope ¼, passing through (4,-4):

y+4 = ¼(x-4)

In slope-intercept form:

y = ¼x - 5

7 0
3 years ago
1. Indicate whether the number is divisible by 2, by 3, or by 5.(Note: Some numbers may be divisible by more than one of these n
aleksklad [387]

1.

a.2,3,5 450/2=225 450/3=150 450/5=90

b.none

c.2 only 18,652/2=9,326

d.5 only 455/5=91

2.

a.3 and 5

b.3 and 7

c.19

d.7 and 21

3.

a.30

b.18

c.24

d.30

3 0
3 years ago
Daisy wants to make 12 clay animals to give away as Valentines gifts. Each animal she makes uses 1/2 of a stick of clay. How muc
Free_Kalibri [48]
Answer:
Daisy will need 6 sticks of clay
4 0
2 years ago
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