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zlopas [31]
3 years ago
7

Which equation demonstrates the distributive property? A) 2 (5 + 7) = 2 (7 + 5) B) 2 (5 + 7) = 2 × 5 + 2 × 7 C) (2 × 5) × 7 = 2

× (5 × 7) D) 7 × (2 × 5) = 7 × (5 × 2)
Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Distributive property is when you distribute the values in a parenthesis with the outside multiplying factor

2*(5+7)= 2*5 + 2*7

2*(12) = 10 +14

24 = 24

distributive property holds true

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3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third
den301095 [7]

Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

2x + 3(x + 2) = 2(x + 4) + 55

=  > 2x + 3x + 6 = 2x + 8 + 55

Eliminating 2x from both the sides,

=  > 3x + 6 = 63

=  > 3x = 63 - 6 = 57

=  > x =  \frac{57}{3}  = 19

So, the consecutive odd integers are = 19 , 21 & 23.

3 0
2 years ago
Any genius out there to solve this?
Helga [31]

Answer:

25

Step-by-step explanation:

The pattern is + 1, + 3, + 6,...   i.e. + 1, + (1 + 2), + (1 + 2 + 3),...

.'. Missing number = 15 + (1 + 2 + 3 + 4) = 25.

3 0
3 years ago
Read 2 more answers
Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π?
yKpoI14uk [10]
Recall that to get the x-intercepts, we set the f(x) = y = 0, thus

\bf \stackrel{f(x)}{0}=-4cos\left(x-\frac{\pi }{2}  \right)\implies 0=cos\left(x-\frac{\pi }{2}  \right)
\\\\\\
cos^{-1}(0)=cos^{-1}\left[ cos\left(x-\frac{\pi }{2}  \right) \right]\implies cos^{-1}(0)=x-\cfrac{\pi }{2}
\\\\\\
x-\cfrac{\pi }{2}=
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}

\bf -------------------------------\\\\
x-\cfrac{\pi }{2}=\cfrac{\pi }{2}\implies x=\cfrac{\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{2\pi }{2}\implies \boxed{x=\pi }\\\\
-------------------------------\\\\
x-\cfrac{\pi }{2}=\cfrac{3\pi }{2}\implies x=\cfrac{3\pi }{2}+\cfrac{\pi }{2}\implies x=\cfrac{4\pi }{2}\implies \boxed{x=2\pi }
3 0
3 years ago
Hans is on his way home in his car. He has driven 8 miles so far, which is one-fourth of the way home. What is the total length
icang [17]
8x4= 32miles

Hope you are satisfied 
6 0
3 years ago
Mrs. gonzalez bought centerpieces to put on each table at a graduation party. she spent $31.50. there are 8 tables each requirin
Naddik [55]
6*4.25+2*3=31.50
6 vases and 2 candles
4 0
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