MATHEMATICS HIGH SCHOOL

You’re building a rectangular frame 10 inches by 11 inches. How many feet of wood do you need?

Answers

Answer 1

Answer:

Answer:

The required feet of wood needed is 3.5 foot.

Step-by-step explanation:

Given : You’re building a rectangular frame 10 inches by 11 inches.

To find : How many feet of wood do you need?

Solution :

According to question,

We have to find the perimeter of the rectangle,

The perimeter of the rectangle is

$P=2(L+W)$

$P=2(10+11)$

$P=2(21)$

$P=42inches$

The perimeter of the rectangle is 42 inches.

Which means the wood required is 42 inches.

Convert inches into feet,

1 foot = 12 inches.

1 inch = $(1)/(12)$ foot.

42 inches = $(42)/(12)$ foot.

42 inches = 3.5 foot.

Therefore, The required feet of wood needed is 3.5 foot.

Answer 2

Answer: The problem above is simply asking for the perimeter of the frame. Perimeter is the sum of all side lengths of a shape. For this we have a rectangular shape therefore perimeter is calculated as:

P = 2l + 2w = 2(11) + 2(10) = 42 inches
P = 42 inches ( 1 ft / 12 inches ) = 3.5 feet of wood is needed for the frame

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Identify properties used in each step in rewriting the polynomial expression (x+5)+3(a+(6x)y)

Answers

(x + 5) + 3(a + (6x)y)
Adding Parenthesis: (x + 5) + 3(a + 6xy)
Distributive Property: (x + 5) + 3(a) + 3(6xy)
(x + 5) + 3a + 18xy
Adding Expressions: x + 5 + 3a + 18xy
3a + x + 18xy + 5

What is 10^0 + 10^1 + 10^2 equal to? A. 10,201 B. 120 C. 111 D. 110 E. 100

Answers

Answer:

111

Step-by-step explanation:

10^0 + 10^1 + 10^2

1 + 10 + 100

111

Answer:

111

Step-by-step explanation:

1+10+100=111

Can someone show me how to do this? What volumes of 60% hydrochloric acid solution and 30% hydrochloric acid solution must be mixed to make 125mL of 36% hydrochloric acid solution?

Answers

u need two equations.x + y = 125
0.60x + 0.30y = (0.36)(125)

x + y = 125
0.60x + 0.30y = 45

solve for a variable in the first equation
y = 125 - x

plug into the second equation
0.60x + 0.30(125 - x) = 45
0.60x + 37.5 - 0.30x= 45
0.30x + 37.5 = 45
0.30x = 7.5
x = 25

plug the answer for x into the first equation
25 + y = 125
y = 100

-16+5n=-7(-6+8n)+3

what is the work for this ?? this is the like only one i cant get

Answers

-16 + 5n = -7(-6 + 8n) + 3 Given
-16 + 5n = 42 - 56n + 3 Distribute
-16 + 5n = 45 - 56n Collect like terms
61n = 61 Add 56n to the left side and add 16 to the right side
n = 1 Divide 61 from both sides

The answer is n = 1. Remember that when you have a number beside two or more numbers in parentheses, you have to distribute, or multiply the number outside the parentheses by each number inside the parentheses.

Hope this helps!

What fraction of 1 minute is 47 seconds

Answers

47/60 because there are 60 seconds in one minute

$1min=60s\ therefore\ 47s=(47)/(60)min$

On a backpacking trip through Europe, Troy spent 20 Swiss francs to stay one night in a youth hostel. If the foreign exchange rate between the U.S. dollar and the Swiss franc is 1:2.2, how much did Troy spend in U.S. dollars?