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fiasKO [112]
3 years ago
8

Use distributive law to factor the given expression: 3+21a+15b

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

3(1+7a+5b)

Step-by-step explanation:

The distributive law states that

a\cdot (b+c)=a\cdot b+a\cdot c.

The expression 3+21a+15b consists of three terms:

  1. 3=3·1;
  2. 21a=3·7a;
  3. 15b=3·5b.

You can see that 3 is the common factor of these three terms, thus

3+21a+15b=3(1+7a+5b).

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JulsSmile [24]
M + f + a = 82
m = 7a + 1
f = 1/2m.....f = 1/2(7a + 1).....f = 3.5a + 0.5

7a + 1 + 3.5a + 0.5 + a = 82
11.5a + 1.5 = 82
11.5a = 82 - 1.5
11.5a = 80.5
a = 80.5 / 11.5
a = 7......7 adults

m = 7a + 1
m = 7(7) + 1
m = 49 + 1
m = 50 <=== 50 male students

f = 1/2m
f = 1/2(50)
f = 25 <=== 25 female students
3 0
3 years ago
50 POINTS PLZ HELP!!!
anyanavicka [17]

Answer:

The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.

Step-by-step explanation:

For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.

Alternate Interpretation

If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.

3 0
3 years ago
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KiRa [710]
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kumpel [21]

Answer:

On the fifth day Mr.Santos would drive 303 miles.

Step-by-step explanation:

First you have to find the pattern which is add 30 miles each day. On the fourth day you would add 243+30=273. Now that you know how far he drove on the fourth day you would add 273+30=303 miles.

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Komok [63]

Answer:

Domain : (-∞, ∞)

Step-by-step explanation:

Domain of a function is a set of x-values of the function.

Therefore, all x-values at which the given function is defined will be the domain of the function.

From the graph attached,

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