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borishaifa [10]
2 years ago
10

Alex and Amber are both saving money for a

Mathematics
1 answer:
Alecsey [184]2 years ago
4 0

Step-by-step explanation:

25*x+100=30×x+75

25=5x

x=5

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a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie
Ratling [72]

Answer:

12\pi (inches)^{2}

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = 24\pi (inch)^{2}

Find the volume of the cone?

We know the area of cone = \pi r(r+s) -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

24\pi=\pi r(r+s) -------(1)

\frac{24\pi }{\pi r} =r+s

\frac{24}{ r}-r =s

Put r value in above equation.

s =\frac{24}{ 3}-3

s=8-3

s=5

The side s = 5 inches

We know the side of the cone formula

s^{2}=r^{2}+ h^{2}

h^{2}=s^{2}- r^{2}

Put r and s value in above equation.

h^{2}=5^{2}- 3^{2}

r^{2} = 25-9

r^{2} = 16

r = 4

The volume of cone is

V = \frac{1}{3} \pi r^{2} h

Put r and h value in above equation.

V = \frac{1}{3} \pi (3)^{2}\times 4

V = 12\pi (inches)^{2}

The Volume of the cone is 12\pi (inches)^{2}

7 0
3 years ago
WILL MARK BRAINLIEST! Shelly served the volleyball over the net 17 out of 25 times. What is her percentage of serving the ball o
Tju [1.3M]

Answer

68℅

Explanation

17/25 =

17 ÷ 25 =

0.68 =

0.68 × 100/100 =

0.68 × 100% =

(0.68 × 100)% =

68%;

Hope that this helps you and have a great day :)

8 0
3 years ago
Read 2 more answers
All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit. 1/4 of the pupils come from E
Jlenok [28]

Answer:

<em>680</em>

Step-by-step explanation:

Given that:

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit.

\frac{1}{4} of the pupils come from Elmswell

\frac{3}{5} of the pupils come from Haughley

102 pupils come from Woolpit.

To find:

Total number of pupils in the school.

Solution:

Let total number of pupils = 100x

So, number of pupils that come from Elmswell = \frac{1}{4} of 100x

OR

\dfrac{1}{4} \times 100x\\\Rightarrow 25x

And, number of pupils that come from Haughley= \frac{3}{5} of 100x

OR

\dfrac{3}{5} \times 100x\\\Rightarrow 60x

Number of pupils that come from Woolpit = 100x - 25x - 60x \Rightarrow 15x

As per given statement:

15x = 102\\\Rightarrow x =6.8

Number of pupils from Elmswell = 25x = 25 \times 6.8 = 170

Number of pupils from Haughley = 60x = 60 \times 6.8 = 408

Total number of pupils at the school = 100x \Rightarrow 100 \times 6.8=680

7 0
3 years ago
PLEASE HELP ME SOLVE THIS FUNCTION!!!! 20 POINTS!!!!
const2013 [10]

The expression which represents the function required to be generated; (f +g)(x) as in the task content is; 13x -2.

<h3>What is the expression which represents the function required?</h3>

It follows from the function definitions in the task content that the functions given are;

f(x) = 4x +5

g(x) = 9x -7

Hence, the value of (f +g)(x) = f(x) + g(x) and ultimately;

= 4x +5 + 9x -7

= 13x -2

Read more on functions;

brainly.com/question/10439235

#SPJ1

3 0
1 year ago
True or false. The following are equivalent statements
Alik [6]

Answer:

im pretty sure its false

Step-by-step explanation:

5 0
2 years ago
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