25 per cent of 600 is equal to 15 per cent of what number?

Answers

Answer 1
Answer: 25\% * 600 = 15\%*x

x=600* (0,25)/(0,15)

x=600* (5)/(3)

x=1000
Answer 2
Answer: 1000 :) 15% of 1000 is 150, which is 25% of 600

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A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.

Answers

Answer:

0.00375\ \text{inches}

Step-by-step explanation:

Volume of the stack of paper is 140.25 cubic inches

The length and width of the stack will be equal to that of a single sheet of paper so

l=11\ \text{inches}

w=8.5\ \text{inches}

Let h be the height of the stack.

Volume of the stack would be

lwh=140.25\n\Rightarrow h=(140.25)/(lw)\n\Rightarrow h=(140.25)/(11* 8.5)\n\Rightarrow h=1.5\ \text{inches}

So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.

Thickness of one sheet of paper is given by

(1.5)/(400)=0.00375\ \text{inches}

Hence, the height of each sheet of paper is 0.00375\ \text{inches}.

What expression is not equivalent to 1/343 A. 7-1 x 7-2
B.77 x 7-10
C. 7-2 x 7-5
D. 7-5 x 72
(All expressions have an Integer either negative or positive u just can't type it correctly here and B and D or not 77 or 72 it's 7 and positive 7 and D is 7 positive 2

Answers

1 / 343
This is just equal to 
1 / 7^3 = 7^-3

A. 7^-1 * 7^-2 = 7^(-1 + -2) = 7^-3
B. 7^7 * 7^-10 = 7^( 7+ -10) = 7^-3
C. 7^-2 * 7^-5 = 7^(-2 + -5) = 7^-7
D. 7^-5 * 7^2 = 7^(-5 + 2) = 7^-3

So the correct answer is letter C. 7^-2 * 7^-5

If BC= 6.5, CD= 7.8, and AD=12.2, find AB to the nearest tenth

Answers

Assuming that each of these letters are splitting this half and half (based off of the information given here) then AB would be 9.4

2. Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The length of the plank is 41 ft. Find each of the following values, and show all your work.(a) Find the value of x. Round to the nearest tenth of a degree.
(b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.
Please someone help

Answers

(A) Find the value of x. Round to the nearest tenth of a degree
Given that the distance of the ground is 9ft.
Length of the plank is 41 ft

In order to get the angle formed between the ground and the foot of the plank,

cos (theta) = ground / plank
cos (theta) = 9 / 41
cos (theta) = 0.21951...
theta = cos^-1(0.21951...)
theta = 77.3 degrees

(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
Height = square root (1600)
Height = 40

(A) 77.1 Degrees
(B) 40 feet

?×81/2=1
what does ? equal

Answers

Answer:

2/81

Step-by-step explanation:

let ? be A,

A×81/2=1

A=1×2/81

A=2/81

Expand and simplify. (x+4)squared

Answers

The quadratic expression (x+4)² = x² + 8x + 16.  

The given expression is,

(x+4)²

The expression (x+4)² represents a mathematical operation called "squaring."

To expand it, we need to multiply the expression by itself.

So, (x+4)² becomes (x+4) * (x+4).

When we multiply these terms, we apply the distributive property and combine like terms.

After simplifying, we get x² + 8x + 16.

Or we can directly use the identity,

(a+b)² = a² + b² + 2ab

Here a = x and b = 4

(x+4)² = x² + 4² + 8x

Hence,

(x+4)² = x² + 8x + 16    

To learn more about quadratic equation visit:

brainly.com/question/30098550

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(x+4)²= (x+4)×(x+4)

Use the FOIL method to simplify

F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)

x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16

Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x

Final expression= x² + 8x + 16