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Mekhanik [1.2K]
3 years ago
13

The Marcus Family is

Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

765 miles

Step-by-step explanation:

Find the rate (mph) and then multiply the result by 9 hours:

340 mi

------------- * 9 hrs = 765 miles

4 hrs

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Two competitive neighbours build rectangular pools that cover the same area but are different shapes. Pool A has a width of (x +
GenaCL600 [577]

<u>Answer: </u>

a)Dimensions of pool A are length = 6.667m and width = 3.667 m and dimension of pool B are length = 7.333m and width = 3.333m.

b) Area of pool A is equal to area of pool B equal to 24.44 meters.

<u> Solution: </u>

Let’s first calculate area of pool A .

Given that width of the pool A = (x+3)  

Length of the pool A is 3 meter longer than its width.

So length of pool A = (x+3) + 3 =(x + 6)

Area of rectangle = length x width

So area of pool A =(x+6) (x+3)        ------(1)

Let’s calculate area of pool B

Given that length of pool B is double of width of pool A.

So length of pool B = 2(x+3) =(2x + 6) m

Width of pool B is 4 meter shorter than its length,

So width of pool B = (2x +6 ) – 4 = 2x + 2

Area of rectangle = length x width

So area of pool B =(2x+6)(2x+2)        ------(2)

Since area of pool A is equal to area of pool B, so from equation (1) and (2)

(x+6) (x+3) =(2x+6) (2x+2)    

On solving above equation for x    

(x+6) (x+3) =2(x+3) (2x+2)  

x+6 = 4x + 4    

x-4x = 4 – 6

x = \frac{2}{3}

Dimension of pool A

Length = x+6 = (\frac{2}{3}) +6 = 6.667m

Width = x +3 = (\frac{2}{3}) +3 = 3.667m

Dimension of pool B

Length = 2x +6 = 2(\frac{2}{3}) + 6 = \frac{22}{3} = 7.333m

Width = 2x + 2 = 2(\frac{2}{3}) + 2 = \frac{10}{3} = 3.333m

Verifying the area:

Area of pool A = (\frac{20}{3}) x (\frac{11}{3}) = \frac{220}{9} = 24.44 meter

Area of pool B = (\frac{22}{3}) x (\frac{10}{3}) = \frac{220}{9} = 24.44 meter

Summarizing the results:

(a)Dimensions of pool A are length = 6.667m and width = 3.667 m and dimension of pool B are length = 7.333m and width = 3.333m.

(b)Area of pool A is equal to Area of pool B equal to 24.44 meters.

5 0
3 years ago
If f(x)=4x^2+1 and g(x) = x^2-5 fins (f-g)(x)
arlik [135]

Answer:

Given:

f(x) = 4x² + 1

g(x) = x² - 5

Then

(f + g)(x) = 4x² + 1 + x² - 5

             = 5x² - 4

Answer: 5x² - 4

5 0
3 years ago
2935.88 what is the value of digit 9
frez [133]
900 is the correct answer
6 0
3 years ago
Read 2 more answers
Geometry 10 point help
klio [65]
The answer is actually C
8 0
3 years ago
Please help me..I willl give u brainliest..don't put links pls
Fiesta28 [93]

Answer:

X=54

Step-by-step explanation:

180-126=54

the line has to be 180 so it has to be able to add to 126 and equal 180.

4 0
2 years ago
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