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yaroslaw [1]
4 years ago
9

7 ∙ 15 can be written as _____. 5(7 + 10) 10(7 + 5) 7(10 + 5)

Mathematics
2 answers:
Bogdan [553]4 years ago
8 0
Both side multiply by one number.
stepan [7]4 years ago
5 0

I believe it is 7(10 + 5). Sorry if I´m wrong.

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The sum of three consecutive even integers is 36. What is the second integers?
podryga [215]

let the consecutive even integers be 2x , 2x + 2 and 2x + 4

let's solve for values of the integers :

  • 2x + 2x + 2 + 2x + 4 = 36

  • 6x + 6 = 36

  • 6x = 36 - 6

  • x =  \dfrac{30}{6}

  • x = 5

therefore, the consecutive even integers are :

  • 2x = 2  \times 5 = 10

  • 2x + 2 = 10 + 2 = 12

  • 2x + 4 = 10 + 4 = 14

I hope it helped...

7 0
3 years ago
The thickness of a book varies directly with
Bumek [7]

\qquad \qquad \textit{direct proportional variation}\\\\\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill }\\\\\textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill }\\\\[-0.35em]~\dotfill

\stackrel{\textit{"th" varies directly with "p"}}{th=kp}\qquad \textit{we also know that} \begin{cases} th=1.8\\ p=350 \end{cases} \\\\\\ 1.8=k(350) \implies \cfrac{9}{5}=350k\implies \cfrac{9}{1750}=k~\hfill \boxed{th=\cfrac{9}{1750}k} \\\\\\ \textit{when p = 84, what is "th"?}\qquad th=\cfrac{9}{1750}(84)\implies th=\cfrac{54}{135}\implies th=0.432

8 0
2 years ago
Distributive property of 6×83
Lostsunrise [7]
498 
you distribute 6 to 83 
6 x 83
498 

8 0
3 years ago
Read 2 more answers
Give two other names for PS
kari74 [83]

Answer:

it's c

Step-by-step explanation:

3 0
3 years ago
The directrix of a parabola is y=−4y=−4 . The focus of the parabola is (−2,−2)(−2,−2) .
Dennis_Churaev [7]
Because the focus is (-2,-2) and the directrix is y = -4, the vertex is (-2,-3).

Consider an arbitrary point (x,y) on the parabola.
The square of the distance between the focus and P is
(y+2)² + (x+2)²
The square of the distance from the point to the directrix is
(y+4)²

Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3

Answer: y= \frac{1}{4} (x+2)^{2} - 3

5 0
3 years ago
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