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Genrish500 [490]

3 years ago

7

Find three consecutive positive even integers such that 4 times the first decreased by the second is 12 more than twice the thir

d

1 answer:

Savatey [412]3 years ago

3 0

Answer:

Step-by-step explanation:

n-2, n, n+2

4(n-2) - n = 12 + 2(n+2)

4 n - 8 - n - 12 - 2n - 4 = 0

n - 24 = 0

n = 24

22 , 24, 26

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Find the following sums. Please help.

34kurt

Answer:

5m-n-4p

4a^2+6x-3

Step-by-step explanation:

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

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

Combine like terms

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

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

(3-5+7)m +(-4+9-6)n +(7-6-5)p

5m-n-4p

a^2 -3x +1

a^2 +9x -6

2a^2 +0x +2

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

Combine like terms

a^2 -3x +1

a^2 +9x -6

2a^2 +0x +2

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

(1+1+2)a^2 +(-3+9+0)x +(1-6+2)

4a^2+6x-3

6 0

3 years ago

Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

3 years ago

A students' choir contains 25 children and only 5 of them play the piano. If a child is selected at random, what is the probabil

solniwko [45]

Answer:

probability that the child DOES NOT play the piano

$P(E^{-}) =\frac{4}{5}$

Step-by-step explanation:

A students' choir contains 25 children

n(S) =25

The number of students play the piano =5

Let 'E' be the event of the child play the piano so n(E) =5

The probability of that the child play the piano

$P(E) = \frac{n(E)}{n(S)}$

$P(E) = \frac{5}{25}= \frac{1}{5}$

Let 'E⁻ be the event of the child play does not play the piano

$P(E^{-}) = 1- P(E)$

$P(E^{-}) = 1- \frac{1}{5} =\frac{4}{5}$

<u>Conclusion</u>:-

probability that the child DOES NOT play the piano

$P(E^{-}) =\frac{4}{5}$

5 0

3 years ago

10. SALES Jhan bought an 8-ounce fruit drink for

Aleks [24]

Answer:

8/1.50 = 128/x

Step-by-step explanation:

In this case, I put the amount of fruit drink over the cost!

8 ounces/$1.50

there are 128 ounces in a gallon and we want to find out the cost of a gallon, so we can put that as x!

128 ounces/x

There's your proportion! Hope this helps :)

8 0

3 years ago

Just look at the picture it doesn’t have words

dimulka [17.4K]

Answer: c 6

Step-by-step explanation:

3 2/3 +2.3...

2.3....=2 1/3

3 2/3 + 2 1/3= 5 3/2

=6

7 0

3 years ago