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Lisa [10]
3 years ago
13

The square of a positive number is 24 more than 5 times the number. what is the value of the number?

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0
The correct answer is 8. See the steps below:

1. We will use x for the unknown number.

2. X^2+24=5x according to the given info.

3. Move everything to one side.

X^2-5x-24=0
(X-8)(x+3)=0

X is 8 or -3.

However, the problem said positive number. So we can ignore the -3, the correct answer is 8.



svp [43]3 years ago
6 0
The answer to this is 8.
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Tresset [83]
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What is the approximate value of 200,000 x 200
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Can someone please help me please
Assoli18 [71]
A
Volume of the Cylinder
Givens
H = 60 yards.
Diameter = 20 yards
pi = 3.14

Formula
V = pi * r^2 * h

Calculations
r = d/2
r = 32/2
r = 16

V =  3.14 * 16^2 * 60 
V = 48230 cubic yards [Cylinder's Volume]

Cone
<em>Formula</em> 
V = 1/3 pi r^2 H

<em>Givens</em>
pi = 3.14
r = 16 yards
h = 20 yards

<em>Sub and solve</em>
V = 1/3 3.14 * 16^2 * 20
V = 5359 cubic yards.

<em>Total Volume of the structure</em>
48230 + 5359 = 53589 Cubic Yards

<em>Water Content</em>
The answer to this part requires a proportion.

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1/201.97 = 53589 /x  [ You should get a pretty big answer]
x = 201.87 * 53589
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10 819 092 gallons <<<< answer

B 
If the height of both the cylinder and the cone remain the same. If the radius doubles in both the cylinder and the cone then the tank will hold 4 times as much. 

Total volume before doubling the radius = pi * r^2 h + 1/3 pi r^2 h
New Total Volume = pi * (2*r)^2 h + 1/3 pi * (2r)^2 h
New Total volume = pi * 4r^2 h + 1/3 pi *4 r^2 h
New Total Volume = 4 [pi r^2 h + 1/3 pi r^2 h]
but pi r^2 h + 1/3 pi r^2 h is the total volume before doubling the radius

New volume = 4 original volume. <<<<< answer to part B
6 0
3 years ago
What are the solutions to the equation x2 + bx+c=0?
nevsk [136]

Answer:

Find the complex solutions using the quadratic formula.

x

=

−

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−

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−

4

c

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x

=

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b

+

√

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8 0
2 years ago
PLEASE HELP ASAP - ILL GIVE BRAINIEST
Mars2501 [29]

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This is the expression bro!

100% sure

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