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mariarad [96]
2 years ago
14

I am stuck on these two, please help if you can. thank you :)

Mathematics
1 answer:
Sever21 [200]2 years ago
3 0

Answer:

23) x= \frac{27}{8}

24) x= 8\sqrt{3}

Step-by-step explanation:

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What is the area of a rectangle that has side lengths of 3/4 yard and 5/6 yard
Ahat [919]

We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.

We know that area of rectangle is width times length.

To find the area of the given rectangle we will multiply both side lengths as:

\text{Area of rectangle}=\text{Width}\times \text{Length}

\text{Area of rectangle}=\frac{3}{4}\text{ yard}\times\frac{5}{6}\text{ yard}

\text{Area of rectangle}=\frac{3}{4}\times\frac{5}{6}\text{ yard}^2

\text{Area of rectangle}=\frac{1}{4}\times\frac{5}{2}\text{ yard}^2

\text{Area of rectangle}=\frac{1\times5}{4\times2}\text{ yard}^2

\text{Area of rectangle}=\frac{5}{8}\text{ yard}^2

Therefore, the area of the given rectangle would be \frac{5}{8} square yards.

5 0
3 years ago
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,
pav-90 [236]
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
3 0
3 years ago
A parking garage has 500 parking spaces. One morning 330 parking spots were filled. What percent of the parking spaces were fill
blondinia [14]
Hey there! :D

So, what we need to do is make a fraction that has a denominator of 100. This is the simplest route to take.

330/500

If you took one zero away from each side, you will get an equivalent fraction:

33/50

Multiply both side by 2 to get to 100.

33*2=66 50*2=100

66/100

So, 66% percent ornament the parking lots were filled.

I hope this helps!
~kaikers
7 0
2 years ago
Is the fraction 14/42 equal to 6/2
PilotLPTM [1.2K]

Answer:

No

Step-by-step explanation:

6/2=3

14/42=1/3=0.33333333333333333333

5 0
3 years ago
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A scientist studies a pod of humpback whales to determine the
Alborosie

Answer:

C. A pod of humpback whales

The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.

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3 years ago
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