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LekaFEV [45]
2 years ago
11

What is the solution to the equation 4(2-x)=5x-17

Mathematics
1 answer:
Travka [436]2 years ago
3 0

Answer:

x = 25/9 or 2.777777778

Step-by-step explanation:

4(2-x) = 5x - 17

8 - 4x = 5x - 17

<u>    +4x   +4x</u>

8 = 9x - 17

<u>+17      +17</u>

25 = 9x

25/9 = x

x = 2.777777778 or 25/9

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4. Steve has a card collection. He keeps 12 of the cards in a pocket, which
BabaBlast [244]

Answer:

I think 80

Step-by-step explanation:

100/15=6.66666667

12x6.67=80.4

4 0
3 years ago
H=2.9L+78.1<br> About how tall would the male have been if the length of the humerus measured 39 cm?
dalvyx [7]

Answer:H=191.2

Step-by-step explanation:

H=2.9(39)+78.1

H=113.1+78.1

H=191.2 cm

3 0
3 years ago
To find the number of bacteria, B, after t hours, use the formula B =1001.32t. How many bacteria were there
masha68 [24]

Answer:

The answer to your question is : B = 5007

Step-by-step explanation:

Formula

               B = 1001.32t

t = 5 hours,

Then

             B = 1001.32 (5)

            B = 5006.6 ≈ 5007

4 0
3 years ago
70% of voters in a certain state support an increase in the minimum wage. A researcher believe that the percentage of fast food
Artist 52 [7]
<h2><u>Answer with explanation:</u></h2>

Let p be the proportion of voters in a certain state support an increase in the minimum wage.

As per given , we have

H_0: p =0.70\\\\ H_a: p >0.70

Since alternative hypothesis is right-tailed so the test is a right-tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

, where n= sample size.

p= population proportion.

\hat{p} = sample proportion.

. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.

i.e. n= 300 and \hat{p}=\dfrac{240}{300}=0.8

Then,

z=\dfrac{0.8-0.7}{\sqrt{\dfrac{0.7(1-0.7)}{300}}}\approx3.78

For significant level α = .05 , the critical z-value is

z_{0.05}=1.645

Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.

Conclusion : We have sufficient evidence o support researcher's claim that  that the percentage of fast food workers for support and increase is higher than 70%..

4 0
3 years ago
In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = x^2 - 12, and CE = 4x What is AC?
Thepotemich [5.8K]

The length of the AC is x^2  + 4x  - 12.

<h3>What is a parallelogram?</h3>

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given :

In Parallelogram ABCD, diagonals AC and BD intersect at point E.

such that

AE = x^2 - 12,

CE = 4x

We know that the diagonal of a parallelogram bisect each other.

x^2 - 12 = 4x

x^2  - 4x  - 12= 0

(x-6)(x-2) = 0

Hence, the value of x = 6, 2.

AC = AE + CE = x^2  + 4x  - 12.

The length of the AC is x^2  + 4x  - 12.

Learn more about Parallelogram ;

brainly.com/question/12871564

#SPJ1

6 0
2 years ago
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