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Hoochie [10]
3 years ago
14

Could someone help me step by step with this question?

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0
\frac{2}{3}(9+x)=-5(4-x)  \\ \\   3*\frac{2}{3}(9+x)=3*[-5(4-x)]  \\ \\ 2(9+x)=-15(4-x)  \\ \\ 18+2x=-60+15x  \\ \\ -13x=-78  \\ \\  \cfrac{-13x}{-13} = \cfrac{-78}{-13} \\ \\  x=6
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Which term is correct when simplifying √128?<br><br> A.) 16<br> B.) 12<br> C.) 10<br> D.) 8√2
alina1380 [7]
When dealing with roots, we want to factor to see if it's possible

128  = 2 \times 64
= 2 \times 2 \times 32
= 2 \times 2 \times 2 \times 16
= 2 \times 2 \times 2 \times 2 \times 8
= 2 \times 2 \times 2 \times 2 \times 2 \times 4
= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2

now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..
= (2 \times 2) \times (2 \times 2) \times (2 \times 2) \times 2

now for every circled pair, we take only 1 of the 2 circled and bring it outside
anything left uncircled stays inside the root
so..
= 2 \times 2 \times 2 \times \sqrt{2}

now simply multiply
8 \sqrt{2}
3 0
3 years ago
Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?
Nikolay [14]

Answer:

The required point is P(-7,\frac{-7}{2}) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7

Step-by-step explanation:

Given equation of line is 2x-6y=7

To find point on graph whose x-coordinate twice the y-coordinate:

Let y be y-coordinate of point

Hence, x-coordinate of point will be 2y

The required point is P(2y,y) on equation of line 2x-6y=7

Now,

2x-6y=7

2(2y)-6y=7

-2y=7

y=\frac{-7}{2}

Thus,

The required point is P(-7,\frac{-7}{2})

Note: Figure show equation of line red line and point P as blue dot.

5 0
3 years ago
7. The probability that Jane smokes is 4/9. The probability
svet-max [94.6K]

To find the probability that she develops lung cancer given that she smokes, multiply the two probabilities together:

4/9 x 3/10 = (4 * 3) / (9*10) = 12/90 = 2/15

6 0
3 years ago
Sophia took home 2/9 of the pizza that was left over from a party. The amount she took represents 1/2 of a whole pizza. The equa
andre [41]

Answer:

19/5

Step-by-step explanation:

i used a calculater

5 0
3 years ago
Xavier works at Art Van Furniture. He is paid on commission. He receives 12% of
Scilla [17]

Based on the commission that Xavier receives from Art Van Furniture, the total value of the furniture sold is $5,500.

<h3>How much furniture did Xavier sell?</h3>

The commission that Xavier earns on his first $1,000 should be removed to be:

= 930 - (12% x 1,000)

= $810

This value of $810 is 18% of the balance of Xavier's sales:

= 810 / 18%
= $4,500

Added to the first $1,000, Xavier's total sales are:

= 4,500 + 1,000

= $5,500

Find out more on commission based income at brainly.com/question/13873976

#SPJ1

7 0
1 year ago
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