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3 years ago

A sphere has a volume of 18,432π cubic feet. What is the radius of the sphere?

1 answer:

8 0

Volume of sphere is given by:
V=4/3πr³
thus the value of r will be found as follows:
Plug in the values we get:
18432π=4/3πr³
solving for r we get:
r³=13824
r=∛13824
r=24 ft

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1. A school store sells pencils and erasers before school opens each day. On Monday, 13 pencils and

JulsSmile [24]

Answer:

price of pencil is 0.74 and eraser is 0.72$

Step-by-step explanation:

Let, "p" represent pencils

and "e" represents erasers.

hence, according to question

13p+10e=16.75 ________(1)

and 25p+2e=19.85________(2)

Multiplying equation (2) by 5,

hence, 125p+10e=99.25________(3)

Substracting equation (3) and (1)

125p+10e-(13p+10e)=99.25-16.75

hence, 112p=82.5

p=0.74

substituting the value in equation (1),

13(0.74)+10e=16.75

9.57+10e=16.75

on solving,

e=0.72

hence, price of one pencil is 0.75$, and price of one eraser is $0.72

4 0

3 years ago

A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces

denis-greek [22]

Answer:

3 1/4 inches

Step-by-step explanation:

22 3/4 ÷ 7

21÷7=3

1 3/4 = 7/4

7/4= 1/4+1/4+1/4+1/4+1/4+1/4+1/4

3 1/4 inches

4 0

3 years ago

Read 2 more answers

I don’t really get this one.<br> Thx and have a great day!!

gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

M(-3,12)= $(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})$

M(-3,12)= $(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})$

$(-3)=\frac{(X2)-24}{5}$

(-15)=X2-24

X2=9

$(12)=\frac{(Y2)+56}{5}$

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

3 0

4 years ago

Complete the ratio table explain or show your work (you must do either)

Ainat [17]

Answer:

7 21 35 49

3 9 18 27

Step-by-step explanation:

the top is going up by 14 and you subtract 9 from 27

4 0

3 years ago

Please can anyone help???

marta [7]

Answer:

x = -3, y = 0

Step-by-step explanation:

15 - 9 = 6

6 - 9 = -3

0 + 5 = 5

5 +5 = 10

8 0

3 years ago