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miskamm [114]
3 years ago
10

If y + 3y + 5y = -18, then what is the value of y?

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
5 0

Answer:

y = -2

Step-by-step explanation:

Add up the coefficients of the three y terms:

(1 + 3 + 5)y = -18.

Then (9)y = -18.

Dividing both sides b y 9, we get:

y = -18/9, or y = -2.

kvasek [131]3 years ago
3 0

Answer:

y=-2

Step-by-step explanation:

In order to find out the value of y, we have to isolate the y. In order to do that, we first have to combine all like terms and we do that by adding the numbers with variables together.

1y+3y+5y=9y

9y=-18

Now we have to get the y by itself so we divide 9 on both sides of the equation because once we do that, we can cancel out the 9.

9/9=1 -18/9=-2

So the answer is y=-2.

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I need help on solving these types of geometry problems! Teacher said the answer is 7 but I have to show work. Thank you!
Nikolay [14]

The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.

This means

82^\circ=m\angle 2

\implies82=10x+12

\implies10x=70

\implies\boxed{x=7}

4 0
3 years ago
Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
You usually buy a 16.5-ounce bottle of shampoo. There is a new bottle that says it gives you 30% more free.
Katarina [22]

Answer:

\frac{x-16.5}{16.5}=0.30

Hopefully, this is your desired setup. (I noticed the formula you have to fill in there.)

Have a good day.

Step-by-step explanation:

Hi.

You could use the percent change formula.

Since we know it is a percent increase then we will do new-old instead of old-new:

\frac{\text{new}-\text{old}}{\old}

x is the new amount of shampoo.

16.5 is the original amount (old) of shampoo.

The percent increase is 30%=0.30 .

So we have the following equation:

\frac{x-16.5}{16.5}=0.30

We could have found the equation like this:

16.5+16.5(0.30)=x

Subtract 16.5 on both sides:

16.5(0.30)=x-16.5

Divide both sides by 16.5:

0.30=\frac{x-16.5}{16.5}

By us of symmetric property of equality:

\frac{x-16.5}{16.5}=0.30

5 0
3 years ago
Read 2 more answers
5/3 dived by 3? Plz help
WINSTONCH [101]

Answer:

5/9 or 0.5

Step-by-step explanation:

i hope this helps :)

7 0
3 years ago
Read 2 more answers
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d1i1m1o1n [39]

Answer:

294

Step-by-step explanation:

Area = length x width

Area of one square is 7 x 7 or 49

There are 6 squares so do 49 x 6 or 49 + 49 + 49 + 49 + 49 + 49 + 49

Answer is 294.

7 0
3 years ago
Read 2 more answers
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