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DiKsa [7]
2 years ago
15

Screen shot is down below!

Mathematics
2 answers:
Anestetic [448]2 years ago
4 0

Solve for K by simplifying both sides of the equation, then isolate the variable.

K = 193

Vinil7 [7]2 years ago
4 0

combine like terms

k + 81 = 274

subtract 81 from both sides

k = 193

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9x2 - 21x + 4x4 - 9 by 2x - 3​
Alinara [238K]

9514 1404 393

Answer:

  2x^3 +3x^2 +9x +3

Step-by-step explanation:

Polynomial long division works best with the polynomials written in standard form, with appropriate 0 terms added where necessary to account for all of the powers of the variable.

As shown in the "Hints," the quotient terms are the ratio of the leading dividend term and the leading divisor term. The product of the quotient term and divisor is subtracted from the dividend to get the new dividend at each step.

The result of your division is 2x^3 +3x^2 +9x +3.

4 0
2 years ago
What is the answer to 10-2.7y=y+9
ZanzabumX [31]
10-2.7y=y+9\\\\-2.7y-y=9-10\\\\-3.7y=-1\ \ \ \ \ |:(-3.7)\\\\y=\frac{10}{37}=0.270270
7 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand co
jok3333 [9.3K]

Answer:

76 mL of 8% and 304 mL of 13%

Step-by-step explanation:

Set up a table like this (this is the same table for any mixture problem):

                   mL total     *           % vinegar       =              % vinegar/mL

8%

13%

total %

What you do with this table is multiply the first 2 columns and they equal the last column.  We already know the middle column's entries from what we are given.  But remember that a percent needs to be expressed as a decimal:

                       mL total     *       % vinegar      =        % vinegar/mL

8%                                                 .08

13%                                                .13

total %                                  

Now we also know that the total he wants to make is 380 mL that is 12%, so all that info goes into the last row:

                      mL total       *       % vinegar        =        % vinegar/mL

8%                                                   .08

13%                                                  .13

total %            380                          .12

If he wants this total mixture to come from the 8% and the 13% vinegars, he is mixing them together, or adding them.  We need to know how much 8% + how much 13% will give us 380 mL of 12%.  So we can fill in the amounts accordingly.  If he has x mL of 8%, then he will have 380 - x of 13%.  The table tells us that we are multiplying the first 2 columns to get the third, so we will do that at the same time:

                       mL total         *          % vinegar        =        % vinegar/mL

8%                        x                *             .08                =          .08x

13%                 380 - x            *             .13                 =      .13(380 - x)

total %               380              *             .12                 =          45.6

Since we are adding the different vinegars together to get the total, we can do that with the last column as well.  This is our equation:

.08x + .13(380 - x) = 45.6  Multiply everything through by 100 to get rid of the decimals now:

8x + 13(380 - x) = 4560 and

8x + 4940 - 13x = 4560 and

-5x = -380 so

x = 76

This means that there is 76 mL of 8% and 380 - 76 = 304 mL of 13%

8 0
2 years ago
A company sells fruit smoothies in two sizes: 6 ounces and 12 ounces. You know that a 6-ounce bottle contains 96 milligrams of s
galina1969 [7]

Answer:

I believe it would be 192 milligrams.

Step-by-step explanation:

They said the amount of sodium is equal to the amount of ounces meaning it would be 6ounce:96milligrams. In this case, doubling 6 would be 12, resulting in doubling 96 as well. I'm not 100% sure, this problem contains an unnecessary amount of information for a simple concept.

3 0
3 years ago
.109 is what in fraction form?
dezoksy [38]

Answer: 109/1000

.109 can not be reduced, so we must put it in a fraction with 1,000.

So, the fraction would be 109/1000, because we need a denominator as 1,000.

The answer = 109/1000

6 0
3 years ago
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