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tekilochka [14]
3 years ago
13

X=5y: 2x+5y=60 A) 10,4 B) 15,4 C) 20,4 D) 25,4

Mathematics
2 answers:
Firdavs [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

2x+5y=60

replace the x with 5y

2(5y)+5y=60

10y+5y=60

15y=60

divide both sides by 15

y=4

2x+5y=60

replace the y with 4

2x+5(4)=60

2x+20=60

subtract 20 from both sides

2x=40

divide both sides by 2

x=10

elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

C) 20, 4

Step-by-step explanation:

X = 5y

2x + 5y = 60

substitute in 5y for x: 2(5y) + 5y = 60

10y + 5y = 60

15y = 60

y = 4

x = 5y

x = 5(4) = 20

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Answer:

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Step-by-step explanation:

A. The width is 4.5 meters shorter than x, so is x -4.5.

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B. The perimeter is twice the sum of length and width. It is 111 meters, so an equation for it could be ...

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4 0
3 years ago
If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha
TiliK225 [7]

Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 36 years

Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03.

P( X < x) = P( z < \displaystyle\frac{x - 36}{8})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 36}{8} =-1.881\\\\x = 20.952\approx 20.95  

Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

3 0
3 years ago
A toaster has four slots for bread. Once the toaster is warmed up, it takes 35 seconds to make 4 slices of toast, 70 seconds to
soldier1979 [14.2K]

Answer:

192.5

Step-by-step explanation:

You are adding 35 sec to every 4 pieces of bread once you get to 20 you divide 35 and get 17.5 so the answer id 192.5

6 0
3 years ago
Can someone please help
Fynjy0 [20]

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

8 0
3 years ago
Please help as soon as possible 50 points
Morgarella [4.7K]

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

3x                    3x(x)                                     x-2                   (x-2)(x+3)

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

-------------

x(x+3)

8 0
3 years ago
Read 2 more answers
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