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LiRa [457]
2 years ago
8

Kadeem is making two drawings of an oak leaf. The dimensions of the first drawing will be 1/3 the dimensions of the leaf. The di

mensions of the second drawing will be 2 1/2 the dimensions of the leaf. If the oak leaf is 5 1/2 inches, will the length of each drawing be equal to, greater then, or less than 5 1/2 inches?
Mathematics
1 answer:
babymother [125]2 years ago
7 0

Answer: See explanation

Step-by-step explanation:

The dimensions of the first drawing will be 1/3 the dimensions of the leaf and the dimension of the oak leaf is 5 1/2 inches. Therefore, the dimensions of the 1st leaf:

= 1/3 × 5 1/2

= 1/3 × 11/2

= 11/6

= 1 5/6 inches

This is less than 5 1/2 inches

The dimensions of the second drawing will be 2 1/2 the dimensions of the leaf. This will be:

= 2 1/2 × 5 1/2

= 5/2 × 11/2

= 55/4

= 13 3/4 inches

Thus is greater than 5 1/2 inches

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The answer is B because it includes all of the numbers correctly 
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The local humane society currently has 60 cats if 300 animals are in the shelter what percent are the cats
Kaylis [27]
20% are cats.

20 cats/300 total animals=0.2

0.2 is the same thing as 20%.
7 0
3 years ago
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
3 years ago
Use the game spinner for questions 1-4. In your final answer, include all necessary calculations.
IrinaVladis [17]

Answer:

P (Even number)  =  1/2

P(spinner will land on an odd number) = 1/2

P(spinner will not land on 2 or 3)  = 3/4

P(spinner will not land on a multiple of 3)  = 3/4

Step-by-step explanation:

Here, while spinning the spinner total possible outcomes

are 8 = {1,2,3,4,5,6,7,8}

Now, \textrm{P(E)}  = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}

a) E: Probability of getting even number

Favorable outcomes are {2,4,6,8}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

b)E: Probability  that the spinner will land on an odd number.

Favorable outcomes are {1,3,5,7}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

c) E: Probability  that the spinner will not land on 2 or 3

Favorable outcomes are {1, 4,5,6,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

d) E: Probability  that the spinner will not land on a multiple of 3

Favorable outcomes are {1,2,4,5,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

3 0
3 years ago
Solve for x: -4(3x − 2) = 6x + 2
stepladder [879]

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

4 0
3 years ago
Read 2 more answers
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