A window is 21 inches wide, and its perimeter is 112 inches. What is the length of the window?

Answers

Answer 1

Answer:

Answer:

The length of the window is 35 inches.

Step-by-step explanation:

Perimeter of an object can be found using the general formula: P = 2W + 2L, where P = perimeter, W = width and L= length. Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L': 112 = 2(21) + 2L, or 112 = 42 + 2L. We can then use inverse (opposite) operations to isolate the variable and solve. Whatever we do to one side of the equation, we do to the other. We will start by subtracting 42 from each side: 112 - 42 = 42 - 42 + 2L or 70 = 2L. Next, we divide both sides by 2 to solve for L: 70/2 = 2L/2 or L = 35. So, the final length of the window is 35 inches.

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How many hundreds in 1.85?

Answers

The hundredths place in this problem is 5. the 1 would be the ones, the 8 the tenths, and the 5 the hundredths.

The function y=3.5x+2.8 represents the cost in y ( dollars ) of a taxi ride of x miles. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function. I don't understand how to get both the domain and range at the same time.

Answers

Answer:

Step-by-step explanation:

The domain of a function is the set of elements for which the function is defined. In other words, the domain is the range of values of x for which the function exists, that is, it has a result.

"x" in this case represents the number of miles traveled by taxi. If the passenger has enough money to travel a maximum of 20 miles, the domain will be:

Domain = {0 ≤ x ≤ 20}

On the other hand, the image is the range of values of the function for which there is a value of x. In other words, it is the set of values of the variable "y" that is obtained when evaluating in the function all the possible values of x.

In this case the function "y" is evaluated at both ends to determine the range of variation of the image:

In x=0 → y=3.5*0 + 2.8 → y= 2.8

In x=20 → y=3.5*20 + 2.8 → y= 72.8

So,the range of the function is between $2.8 and $72.8

Range = {2.8 ≤ y ≤ 72.8}

I'm not sure I think the answer is 2.433 and 6.848) and 737383) but I'm not sure

A piece of wood is to be cut so that it is square and has an area of 45 square inches. How long should the sides be, rounded to the nearest tenth of an inch?a.
6.7 inches
c.
8.6 inches
b.
22.5 inches
d.
11.3 inches

Answers

A 6.7 u take the square root of 45

Hello can anyone help me on the next four math questions please ?1)5(x+2)
2) 4(2x+3)
3) 8(x+2)
4) 5(7x+4) thanks !!!

Answers

5(x + 2)
= 5(x) + 5(2)
= 5x + 10

4(2x + 3)
= 4(2x) + 4(3)
= 8x + 12

8(x + 2)
= 8(x) + 8(2)
= 8x + 16

5(7x + 4)
= 5(7x) + 5(4)
= 35x + 20

$5(x+2)=5x+10\n4(2x+3)=8x+12\n8(x+2)=8x+16\n5(7x+4)=35x+20$

How do i find out surface area a rectangular prism ?

Answers

the formula for a rectangular prism's surface area is A=2(wl+hl+hw)

1st?- cynthia paid $0.20 per hobby magazine at a tag sale. She bought half of all the magazines that were for sale and paid $10. How many magazines were there in all?2nd?-in the first problem, the amount of money cynthia pays is a function of the number of magazines she bought.
a- write an equation that shows what cynthia pays dollars (d) for the number of magazines (m) shes buys.
b- make a function table with four (m,d) pairs of your choosing that satisfy the function.

Answers

1. She paid .2 per magazine, so .2*number of magazines = 10. So the number of magazines she bought was 10/.2, or 50. Since that was only half of them, there were 100 total.
2. a d=.2m
b. You make a function table. Just plug the points into d=.2m

Answer:

1. 50 magazines

a. m= d times $0.20

b. I dont know but i go 1 and 2a.

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