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julsineya [31]
2 years ago
10

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su

m of the number and eight 5(x + 11) + 3(x + 8) mc026-1.jpg mc026-2.jpg 5x + 11 + 3x + 8
Mathematics
1 answer:
Umnica [9.8K]2 years ago
4 0
The phrase has two parts:

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall expression will be:

\frac{5(x+11)}{3(x+8)}
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Step-by-step explanation:

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8 0
3 years ago
What value should be added to the expression to create a perfect square? x^2 - 20x
boyakko [2]
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation

-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 = <span> <span> <span> 3.1622776602 </span> </span> </span>
x1 = <span> <span> <span> 13.1622776602 </span>
and don't forget that square root of 10 also equals  </span></span><span><span><span> -3.1622776602 </span> </span> </span>
x2 = 10 -<span> <span> <span> 3.1622776602
x2 = </span></span></span> <span> <span> <span> 6.8377223398 </span> </span> </span>


4 0
3 years ago
Sam has $440 in $20, $10, and $5 dollar bills. The number of twenties, tens and fives are consecutive integers in this order. Ho
Ludmilka [50]

Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.

Step-by-step explanation:

Let the number of twenties be x

Let the number of tens be x+1

Let the number of fives be x+2

Amount from twenties will be given as

20\times x=20x

Amount from tens will be given as

10\times (x+1)=10x+10

Amount from fives will be given as

5\times (x+2)=5x+10

According to question,

20x+10x+10+5x+10=440\\\\35x+20=440\\\\35x=440-20\\\\35x=420\\\\x=\frac{420}{35}\\\\x=12

So, there are 12 bills for $20, 13 bills for $10 and 14 bills for $5.

6 0
3 years ago
Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of g
ivolga24 [154]

Answer:

Emiy would think that it is not the perfect tomato sauce because it has 12 cloves of garlic in every 900 mL of sauce and it should have 14.4 cloves of garlic in every 900 mL of sauce to be perfect.

Step-by-step explanation:

The statement indicates that for Emily the perfect tomato sauce have 8 cloves of garlic in every 500 mL. With that we can calculate the amount of cloves of garlic that a tomato sauce should have for Emily to consider it to be perfect using the rule of three:

8 cloves of garlic → 500 mL

             x              ← 900 mL

x= (8*500)/900= 14.4

According to this, the perfect tomato sauce would need to have 14.4 cloves of garlic in every 900 mL. As Raphael's tomato sauce only has 12, it means that Emily would think that it is not the perfect tomato sauce.

7 0
2 years ago
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