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raketka [301]
3 years ago
15

Can anyone Explain in words why these are equivalent expressions.

Mathematics
2 answers:
Ahat [919]3 years ago
8 0

Answer:

They are equivalent expressions because if you use distributive property and multiply 10*b, then multiply 10*4c, you get 10b+40c

Step-by-step explanation:

N76 [4]3 years ago
4 0

Answer:

The distributive property says that when there is a number outside of parenthesis, this means it should be distributed (or multiplied) to the values inside the parenthesis.

So in this situation, 10 x b = 10b

and 10 x 4c = 40 c

so 10(b + 4c) becomes 10b + 40c once the 10 is distributed within the parenthesis.

I hope this helps!

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What is the sum of the series? Write in expanded form making sure to show all steps used to find the sum.
san4es73 [151]

Answer:

-16

Step-by-step explanation:

k = 3

-2(3) + 5 = -1

k = 4

-2(4) + 5 = -3

k = 5

-2(5) + 5 = -5

k = 6

-2(6) + 5 = -7

(-1) + (-3) + (-5) + (-7)

= -16

6 0
3 years ago
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Pls help me understand.
maw [93]

Answer:

19 %

Step-by-step explanation:

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6 0
3 years ago
Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $6
MariettaO [177]

Answer:

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

150 + 35 times x months. It becomes

150 + 35x

Gym B has no joining fee and costs $60 per month.

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A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

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x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

B) If Casey plans to only go to the gym for 5 months,

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6 0
3 years ago
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Alexxandr [17]

Answer:

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Step-by-step explanation:

The null hypothesis is:

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Our test statistic is:

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In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

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t = 2.67

The value of the test statistic is t = 2.67

5 0
3 years ago
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