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antiseptic1488 [7]
3 years ago
6

Solve for y. -6y-31= 5 and thank you

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0

Step-by-step explanation:

...........y=-6.........

Gnoma [55]3 years ago
6 0

-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6

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What is x? please help
kari74 [83]
<h3>Answer:  x = 44</h3>

====================================================

Work Shown:

The three interior angles of any triangle always add to 180

82+54+x = 180

136+x = 180

x = 180-136

x = 44

---------------

Extra info:

If you need the value of y, then,

x+y = 180

y = 180-x

y = 180-44

y = 136

Or you could use the remote interior angle theorem to find y

y = 82+54

y = 136

The value of z is equal to y since these two angles are vertical angles.

5 0
3 years ago
How much of a 14% iodine solution should be added to 89 ounces of a 47% iodine solution to get a 29% solution
Elza [17]
Whatever% of anything is just (whatever/100) * anything.

x = ounces of 14% iodine.

y = ounces of 29% iodine.

we know that in a 14% iodine solution, 14% is iodine and the rest is something else, we also know that "x" ounces of the solution have 14% of iodine, how much is that?  (14/100) * x, or 0.14x.

likewise, in the 89 ounces of 47% solution there is (47/100) * 89 of iodine.

and likewise as well, in "y" ounces of 29% iodine there is (29/100) * y, or 0.29y of iodine.

bearing in mind that, whatever "x" and "y" may be, x + 89 = y, and that the sum of the iodine amounts also will equate 0.29y.

\bf \begin{array}{lccclll}&#10;&\stackrel{ounces}{amount}&\stackrel{\%~of~iodine}{quantity}&\stackrel{iodine~oz}{amount}\\&#10;&------&------&------\\&#10;\textit{14\% solution}&x&0.14&0.14x\\&#10;\textit{47\% solution}&89&0.47&41.83\\&#10;------&------&------&------\\&#10;mixture&y&0.29&0.29y&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;x+89=\boxed{y}\\&#10;0.14x+41.83=0.29y\\&#10;--------------\\&#10;0.14x+41.83=0.29\left( \boxed{x+89} \right)&#10;\end{cases}&#10;\\\\\\&#10;0.14x+41.83=0.29x+25.81\implies 16.02=0.15x&#10;\\\\\\&#10;\cfrac{16.02}{0.15}=x\implies 106.8=x
6 0
3 years ago
The measure of angle 1 is 102°.<br><br> What is the measure of angle 2?
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

∠1 & ∠2 are co interior angles. co interior angles are supplementary.

∠1 + ∠2 = 180

102 + ∠2 = 180

        ∠2 = 180 - 102

       ∠2 = 78°

6 0
2 years ago
If f(x)=5(x-3)+4 what is the value of f(2)?
algol13

Answer:

-1

Step-by-step explanation:

6 0
4 years ago
Factorize completely :<br>4x² - y² + 4y - 4​
lana66690 [7]

Answer:

<em>(2x-y+2)(2x+y-2)</em>

Step-by-step explanation:

4x² - y² + 4y - 4=

=(2x)²-(y²-4y+4)

=(2x)²-(y-2)²

= [2x-(y-2)][2x+(y-2)]

<em>=(2x-y+2)(2x+y-2)</em>

a²-b²=(a-b)(a+b)

5 0
3 years ago
Read 2 more answers
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