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Alekssandra [29.7K]
2 years ago
9

Complete each statement using place value and the distributive property 8(42) = 8(40 + 2) = The product of 8 and 42 is​

Mathematics
2 answers:
Stells [14]2 years ago
8 0

Answer: The answers are 8(40+2)= 8(40) + 8(2). The second answer is “The product of 8 and 42 is 336.

nadezda [96]2 years ago
4 0

Answer:

the first box can be filled by,

= 8(40) + 8(2) \\  = 320 + 16 \\  = 336

the second box can be filled by,

336

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Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item
Paraphin [41]

Answer:

The  process of calculating successive discounts of 8% and 10% on a $50 item is take 10% of $46.

Step-by-step explanation:

As given

successive discounts of 8% and 10% on a $50 item .

First find out for 8 % discount

8% is written in the decimal form

= 0.08

8 % of $50 item = 0.08 × 50

                          = $ 4

Price of item after 8% discount = 50 - 4

                                                    = $46  

First find out for 10 % discount

10% is written in the decimal form

= 0.1

8 % of $48 item = 0.1× 46

                          = $4.6

Price of item after 8% discount = 46 - 4.6

                                                    = $41.4

Therefore in the successive discounts of 8% and 10% on a $50 item is $41.4 .

5 0
3 years ago
A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
3 years ago
2 Joey runs 4 – miles in of an hour and Chandler runs 2 miles miles in of an hour. Who runs faster
HACTEHA [7]

Answer: Joey is faster

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6 0
3 years ago
Read 2 more answers
Please help?? its unit rate so plz help tell me how to do it
Lelechka [254]

Answer:

1.2 dollars

Step-by-step explanation:

You have to divide the dollar count by the pound count.

So basically:

6/5

This gives you 1.2 dollars.

When you do unit rate, you just have to divide one value by the other value.

The value you divide by, and the value you divde, vary depending on what the question asks.

For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6  dollars by 5 pounds like we did above(6/5).

Hope this helps!

3 0
3 years ago
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Which simplifications of the powers of i are correct? There may be more than one correct answer.
fredd [130]

\bf i^2=-1\qquad\qquad i^3=-i\qquad \qquad i^4=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ i^{22}\implies i^{(4\cdot 5)+2}\implies i^{4\cdot 5}i^2\implies (i^4)^5 i^2\implies 1^5(-1)\implies -1~\dotfill \bigotimes \\\\\\ i^{11}\implies i^{(2\cdot 5)+1}\implies (i^2)^5 i\implies (-1)^5(i)\implies -i~\dotfill \checkmark

\bf i^{21}\implies i^{(4\cdot 5)+1}\implies (i^4)^5 i\implies 1^5(i)\implies i~\dotfill \checkmark \\\\\\ i^{12}\implies i^{3\cdot 4}\implies i^3 i^4\implies (-i)(1)\implies -i\dotfill \bigotimes \\\\\\ i^{20}\implies i^{4\cdot 5}\implies (i^4)^5\implies 1~\dotfill \checkmark \\\\\\ i^{26}\implies i^{(4\cdot 6)+2}\implies (i^4)^6 i^2\implies 1^6(-1)\implies -1\dotfill \checkmark \\\\\\ i^{27}\implies i^{(4\cdot 6)+3}\implies (i^4)^6 i^3 \implies 1^6(-i)\implies -i\dotfill \bigotimes

6 0
3 years ago
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