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Romashka [77]
2 years ago
15

The statue of liberty is 305 feet tall. A nearby building is 4/9 as tall. Find the height of the building.

Mathematics
1 answer:
inysia [295]2 years ago
5 0

Answer:

The nearby building is 135 \dfrac{5}{9} feet tall.

Step-by-step explanation:

The statue of liberty is 305 feet tall.

A nearby building is \dfrac{4}{9} as tall as the statue of liberty.

To find the height of the building, you need to find \dfrac{4}{9} of 305:

\dfrac{4}{9}\cdot 305=\dfrac{1,220}{9}= 135 \dfrac{5}{9}\ feet

Thus, the nearby building is 135 \dfrac{5}{9} feet tall.

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A flat rectangular piece of aluminum has a perimeter of 70 inches. The length is 11 inches longer than the width. Find the width
rodikova [14]

perimeter = 2L +2w

L = w+11

70 = 2(w+11) +2w

70 = 2w+22+2w

70= 4w + 22

48 = 4w

w=48/4 = 12

width = 12

length = 12+11 = 23

2x12 = 24

2x23 = 46

46+24 = 40

 length = 23 inches, width = 12 inches

Answer is D

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2 years ago
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KIM [24]

Answer:

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Step-by-step explanation:

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2 years ago
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If 90 percent of a is 44, what is 30 percent of 3a?
Lesechka [4]
90% of "a" is 44.......turn ur percent into a decimal...." of " means multiply..." is " means equals...

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3 0
3 years ago
Y=2x+1
yan [13]

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

3 0
2 years ago
for the school play adult tickets cost 4$ and children tickets cost 2$ natalie is working at the ticket counter and just sold 20
lilavasa [31]
Let us formulate the independent equation that represents the problem. We let x be the cost for adult tickets and y be the cost for children tickets. All of the sales should equal to $20. Since each adult costs $4 and each child costs $2, the equation should be

4x + 2y = 20

There are two unknown but only one independent equation. We cannot solve an exact solution for this. One way to solve this is to state all the possibilities. Let's start by assigning values of x. The least value of x possible is 0. This is when no adults but only children bought the tickets.

When x=0,
4(0) + 2y = 20
y = 10

When x=1,
4(1) + 2y = 20
y = 8

When x=2,
4(2) + 2y = 20
y = 6

When x=3,
4(3) + 2y= 20
y = 4

When x = 4,
4(4) + 2y = 20
y = 2

When x = 5,
4(5) + 2y = 20
y = 0

When x = 6,
4(6) + 2y = 20
y = -2

A negative value for y is impossible. Therefore, the list of possible combination ends at x =5. To summarize, the combinations of adults and children tickets sold is tabulated below:

   Number of adult tickets             Number of children tickets
                  0                                                   10
                  1                                                    8
                  2                                                    6
                  3                                                    4
                  4                                                    2
                  5                                                    0




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