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3 years ago

Simplify by using the distributive property 5 ( 2x - 5 )

Mathematics

2 answers:

Gennadij [26K]3 years ago

7 0

Answer: C = 10x - 25

Step-by-step explanation:

drek231 [11]3 years ago

3 0

Hello!

The problem has asked that we simplify the given expression using the Distributive Property. The Distributive Property states the following:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we’ll use the second of the two formulas listed above. Let’s begin by inserting any known values given in the original problem:

a(b – c) = ab – ac
5(2x – 5) = 5(2x) – 5(5)

Now simplify the right side of the equation:

5(2x) – 5(5) = 10x – 25

We have now proven that 5(2x – 5) is equal to 10x – 25. Therefore, the correct answer is C.

I hope this helps!

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Answer:

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2 years ago

Divide. 5/6÷ −2/3 please help asap

-Dominant- [34]

(5/6)/ (-2/3)

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2 years ago

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3 years ago

Write logbx + logby - logbz as a single logarithm.

IrinaK [193]

Logbx+logby-logbz
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logb(x*y)=logbx+logby if b is the base of log.
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3 0

2 years ago

Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45

Vikki [24]

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

$Mean_{new}=Mean_{old}+k$

Here $Mean_{old}$ is 109 and k is 25 thus

$Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134$

Similarly

$Median_{new}=Median_{old}+k$

Here $Median_{old}$ is 104 and k is 25 thus

$Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129$

Also

$Mode_{new}=Mode_{old}+k$

Here $Mode_{old}$ is 96 and k is 25 thus

$Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121$

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

$Range_{new}=Range_{old}\\Range_{new}=45$

Similarly

$Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6$

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

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2 years ago