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Naddik [55]
3 years ago
7

Simplify 6(2+4x)+3(x2-5x)how do i do this?

Mathematics
1 answer:
babunello [35]3 years ago
3 0
Step 1: Distribute

So it becomes 12+24x+6x-15x

Step 2: Combine like-terms!

Then it becomes 15x+12 (It's 15x because 24x+6x= 30x then "add" the last  -15x. 
(30+ -15 = 15)
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The sum of 4 consecutive integers is 198. What is the fourth number in this sequence.
Georgia [21]
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
 x = 192/4
 x = 48
 x + 1 = 48 + 1 = 49
 x + 2 = 48 + 2 = 50
 x + 3 = 48 + 3 = 51

proof
48 + 49 + 50 + 51 = 198

so the numbers are 48, 49, 50, 51

fourth number in this sequence is 51
7 0
3 years ago
∠1 and ∠2 are complementary angles. m∠1 is 5y+32 and m∠2 is 7y-14. Find m∠2 &amp; show your work.
Ainat [17]
  • m<1+m<2=90

\\ \sf\longmapsto 5y+32+7y-14=90

\\ \sf\longmapsto 12y+18=90

\\ \sf\longmapsto 12y=72

\\ \sf\longmapsto y=6

  • m<2=7(6)-14=42-14=28[/tex]
7 0
3 years ago
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snow_lady [41]

Answer:

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4 0
3 years ago
The perimeter of the rectangle is 146 units. What is the length of the longer side?
NeTakaya

we know that

the perimeter of the rectangle is equal to

P=2W+2L

where

P is the perimeter of the rectangle

W is the width of the rectangle

L s the length of the rectangle

In this problem

P=146\ units \\ W=2x\\ L=3x+3

Substitute the values in the formula above

P=2W+2L\\ 146=2*(2x)+2*(3x+3)\\ 73=2x+3x+3\\ 5x=70\\ x=14\ units

W=2x=2*14=28\ units\\ L=3x+3=3*14+3=45\ units

therefore

the answer is

the length of the longer side of the rectangle is equal to 45\ units

7 0
3 years ago
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dem82 [27]
The pay rates of these two people are not proportional because if you divide 234 by 36 and 288 by 40, it is shown that Miguel earns $7.20 every hour and Jeremy earns $6.50 per hour. Thus, the pay rates of these two people are not proportional.
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