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Nuetrik [128]
4 years ago
5

Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71

Mathematics
2 answers:
Eva8 [605]4 years ago
7 0

Answer:

x = 186  130/181

Step-by-step explanation:

x⁄ 4 + x⁄14 + x⁄17 = 71

119x/476 + 34x/476 + 34x/476 = 71

181x/476 = 71

x = 186 130/181

Flura [38]4 years ago
4 0

Answer:

x=186.72

Step-by-step explanation:

The given equation is :

\frac{x}{4}+\frac{x}{14}+\frac{x}{17}=71

We will find the LCM of 4,14 and 17

4 = 2 x 2

14 = 2 x 7

17 = 1 x 17

LCM = 2 x 2 x 7 x 17 = 476

\frac{119x+34x+28x}{476} =\frac{181x}{476} = 71

181x=71\times476

181x=33796

x=186.72

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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0
3 years ago
3x + 3<br> X + 8<br> What is the perimeter of each polygon?
Ganezh [65]

Answer:

D. 60

Step-by-step explanation:

4(3x + 3) = 5(x + 8)       12(4) + 12         5(4) + 40

12x + 12 = 5x + 40        48 + 12               20 + 40

-5x          -5x                   60                        60

7x + 12 = 40

 -12        -12

7x = 28

x = 4

6 0
3 years ago
What is the best estimate of the product 3780 times 2
Leviafan [203]

Answer:

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Step-by-step explanation:

I used google calculator

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3 years ago
Square root of 90 minus r equals r
dsp73

Answer:

r=sqrt45

Step-by-step explanation:

8 0
4 years ago
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Harman [31]

Answer:

Harper is 200 yards away from her home if the map shows 3 inches

Step-by-step explanation:

50 yards = 3/4 inch

3 inches = 3/1

3/1 x 4/4 = 12/4

12/4 = 3 inches

50 x 4 = 200

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

6 0
3 years ago
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