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Verizon [17]
3 years ago
14

Rewrite as a product of two factors: 3 + 18d + 21y​

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

\huge {   \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • factoring
<h3>let's solve:</h3>

in the following expression

everytime 3 is common

(3×1)+(3×6d)+(3×7d)

therefore if you take 3 from every expression we get

  • 3(1+6d+7y)

which is a <u>product</u><u> of</u><u> two</u><u> </u><u>factors</u>

Vlada [557]3 years ago
3 0

Answer:

the Expression is :

(3) × (1 + 6d + 7y)

Step-by-step explanation:

here's the solution : -

=》

3 + 18d + 21y

=》

(3 \times 1 )+ (3 \times 6d) + (3 \times 7y)

now, since 3 is common in all terms let's take it out.

=》

3 \times (1 + 6d + 7y)

=》so, ,we got the above expression as product of 3 and ( 1 + 6d + 7y ) as factors.

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What does it mean to isolate the variable?
natima [27]

Answer: D

Step-by-step explanation: get the variable by itself on one side of the inequality sign.

8 0
3 years ago
Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t
Margarita [4]

Answer:

2) 0.8/8+x=5/100

Step-by-step explanation:

4 0
3 years ago
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em
allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Download pdf
6 0
3 years ago
I know this is super easy! My brain just cannot wrap my head around my maths today. Please help soon.
zysi [14]

Hello there! the answers to your question are:

a. $15x + $20y = $100; x + y = 6.

b. Yes, he can, since the cost of 4 shirts is $60, and two pants is $40, which adds up to be how much he is spending, or $100.  

Let's start by working to solve part a. We need to set up a system of equations that models the situation given. To do this, let's set up an equation that models how many Sean will buy in total and how much he will spend.

The question says that he wants to spend $100 total, and shirts cost $15 and pants cost $20. We can model this as $15x + $20y = $100.

The question also says he wants to purchase a total of 6 items for his wardrobe, so the number of items he buys has to add up to 6. This can be modeled as x + y = 6.

This gives us our answer for part a. Now let's solve part b. We are being asked if Sean can buy 2 pants and 4 shirts. This fits one of our equations, x + y = 6, since 4 and 2 add up to be 6. We need to see if this fits our other equation, though $15x + $20y = $100. To do this, we can substitute the number of shirts (4) into the x value, and the number of pants (2) into the y value and solve. If the total is more than 100, he can't. If it is less, he can.

$15(4) + $20(2) = 100

60 + $20(2) = 100

60 + 40 = 100

Since our total adds up to $100, he can buy 2 pairs of pants and 4 shirts.

I hope this helps and have a great rest of your day!

8 0
3 years ago
A is less than or equal to 10 <br><br> Lmk
Gelneren [198K]

Answer:

a \leqslant 10

Step-by-step explanation:

a is less than or equal to 10

less than: <

equal: =

less than or equal to: ≤

Hope this helps ;) ❤❤❤

7 0
3 years ago
Read 2 more answers
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