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Ket [755]
4 years ago
13

Which property justifies the fact that 5(x-2) is equivalent to 5x-10

Mathematics
2 answers:
irina1246 [14]4 years ago
7 0
The property that justifies this equivalence is the distributive property. you disribute by multiplying 5 and x to get 5x and 5 times negative 2 to get negative 10
Mazyrski [523]4 years ago
4 0
Hey there! :D

The distributive property is what makes 5(x-2) to 5x-10

The distributive property states that a(b+c)= ab+ac

So, 5(x-2)= 5x-10

I hope this helps!
~kaikers
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-3r-8(8r+8)=-9(-4+9r)​
natulia [17]

Answer:

r= 7.14 (rounded to 2 decimal places)

Step-by-step explanation:

We have to solve this equation for the value of r. We will use distributive property and basic algebra to solve this.

Distributive property is  a(b+c) = ab + ac

Now, the steps of solving are shown below:

-3r-8(8r+8)=-9(-4+9r)\\-3r -64r-64=36-81r\\-67r-64=36-81r\\-67r+81r=36+64\\14r=100\\r=\frac{100}{14}\\r=7.14

Hence, value of r is 7.14 (rounded to 2 decimal places)

8 0
3 years ago
A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.
Taya2010 [7]

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4 0
3 years ago
Find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches
IrinaK [193]
Since the diameter of the cylinder is 10, its radius is half that, or 5, thus

\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=5\\
h=20
\end{cases}\implies V=\pi (5)^2(20)
7 0
3 years ago
Please help on one math question
kipiarov [429]

Hello from MrBillDoesMath!

Answer:

225

Discussion:

Sum ( 2n - 1)                  from  n = 1 to 15              

= Sum(2n) - Sum(1)        from n = 1 to 15

= 2 Sum(n) - Sum(1)       from n = 1 to 15

= 2* 15(15+1)/2  - (1 + 1 + .. + 1)

The first value comes from the fact that the sum of the first n integers is  n(n+1)/2. The latter value sums 15 1's.

= 2 * 15 * 16/2 - 15                    => 2/2 = 1

= 15*16 - 15                               => 15*16 = 240

= 240 - 15

= 225

Thank you,

MrB

6 0
3 years ago
Read 2 more answers
Tony needs to ship 12 comedy DVDs. 24 animated DVDs, and 30 musicals. He can pack only one type of DVD in each box. What is the
beks73 [17]

14 its 14 I hoped this helped



6 0
4 years ago
Read 2 more answers
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