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r-ruslan [8.4K]
3 years ago
8

Find the number such that when it is added to 5 and the sum is divided by 3 the result is the same as one twelve in divided by x

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer:

0.05 or -5.05

Step-by-step explanation:

Let the number be x

Then

(X+5)/3=(1/12)÷X

Cross multiplication

It will be;

12x²+60x=3

By general equation,

X=0.05 or -5.05

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A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away
Tom [10]

Answer:

80 units

Step-by-step explanation:

v = 1/3 bh

v₁ = 1/3 * b * h₁ = 344

v₂ = 1/3 * b * h₂ = 301

v₁ / v₂ = h₁ / h₂ = 344 / 301

h₂ = h₁ - 10

h₁ / (h₁ - 10) = 344 / 301

344 * (h₁ - 10) = 301 * h₁

344* h₁ - 3440 = 301 * h₁

43 * h₁ = 3440

h₁ = 80

4 0
3 years ago
Veronica is saving money to by a saddle for her horse that costs 175 . She plans to save $10 the first month and then increased
Anon25 [30]
You will start off with $175-$10=$165. Then you will take your $165 and divide by $15 to get the answer. $165÷$15=11 months to save the money.
6 0
3 years ago
Consider two​ investments, one earning simple interest and one earning compound interest. If both start with the same initial de
Len [333]

Answer:

Ratio between balances will be:

(x*(1+i)*n)/(x*(1+i)^n)

Where;

x = deposit

%i = interest rate annual

n = years

Step-by-step explanation:

Lets say first deposit is x$ for both investment and annual interest rate for both investment are %i. Also, they stayed under i interest in n years:

Total balance for simple interest is:

Total balance=x*(1+i)*n

How ever total balance for compound interest is:

Total balance=x(1+i)^n

6 0
4 years ago
There are 8 beech trees 4 oak trees 17 cedar trees and 11 other trees
pickupchik [31]

Answer:

1/5

Step-by-step explanation:

8 beech trees out of 40

8/40 = 1/5

6 0
3 years ago
1.A sign-making store made a banner from a photograph. The photograph was 8 x 10 inches, and the banner was 12 x 15 feet. What s
jok3333 [9.3K]

1. 12 feet = 144 inches

15 feet = 180 inches

144 inches / 8 inches = 18

180 inches / 10 inches = 18

The scale factor was 18.

2. Volume = Length x Width X height:

Volume = 16 x 13 x 11 = 2,288 cubic inches.

6 0
3 years ago
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