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Katarina [22]
3 years ago
9

What is |2x-16|=10 ?

Mathematics
2 answers:
yuradex [85]3 years ago
8 0

Well, first off, let's just temporarily forget about the absolute value.  All we have is 2x - 16 = 10.  First we solve this.

2x-16=10

Combine like terms

2x=26

Isolate the variable through division

x=13.

Now we remember those absolute value brackets.  When we have an absolute value sign, most of the time it is going to mean that we include the answer you got, and the opposite of that number as well.  So in this case, x doesn't just equal 13, but it also equals -13.

x=13,-13

Hope this helped!

-TTL

antoniya [11.8K]3 years ago
4 0

x=13 or x=3

hope this helps

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Alexandra has some dimes and some quarters. She has no more than 21 coins worth a minimum of $3.75 combined. If Alexandra has 4
olga55 [171]

Answer:

A minimum of 10 dimes and 11 quarters is what Alexandra will have

Step-by-step explanation:

Let

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q = number of quarters

Since she has 21 coins altogether,

d + q = 21------------------------equation 1    

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0.10 x d + 0.25 x q = 3.75

  • which is 0.10d +.25q =3.75 --------------------------equation 2

where $.10 is the value of one dime and $.25 is the value of one quarter

make d the subject of formula from equation 1 d = 21 -q----------equation 3

 insert it in equation 2

0.10d +0.25q =3.75

0.10(21-q) + 0.25q = 3.75

0.1(21)-0.1q+0.25q=3.75

2.1 +0.15q = 3.75

0.15q  = 3.75-2.1 = 1.65

q = 1.65/0.15 =165/15 =11

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d = 21 - q

d = 21-11

d = 10

Alexandra has 10 dimes and 11 quarters.

from my calculation i can see that the a minimum of 10 dimes and 11 quarters is what Alexandra will have

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arsen [322]
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If we use some algebra, we can reorganize the equation to solve for the original price...

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