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Scilla [17]
3 years ago
8

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Answer:

Amount of  vinegar. 100% : 20 milliliters

Amount of  Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of  vinegar. 100%

Let's call B the amount of  Italian dressing . 12% vinegar

The resulting mixture should have 23%  vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

A + B = 160

Then the total amount of pure antifreeze in the mixture will be:

A + 0.12B = 0.23 * 160

A + 0.12B = 36.8

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

-A -B = -160

-A -B = -160

               +

A + 0.12B = 36.8

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

-0.88B = -123.2

B = \frac{-123.2}{-0.88}

B = 140\ milliliters

We substitute the value of B into one of the two equations and solve for A.

A + 140 = 160

A = 20\ milliliters

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15x - 10 = -9x + 2 <br> please help me !!!!!
DerKrebs [107]
15x - 10 = -9x + 2

15x +9x -10 = -9x + 9x + 2

15 x + 9x - 10 + 10 = 2 + 10

15 x + 9 x = 2 + 10

24x = 12

24x/24 = 12/24

x = 1/2

hope this helps
6 0
3 years ago
The graph is <br> A. Neither even nor odd<br> B.odd<br> C.even<br> D. Symmetrical about the y axis
dybincka [34]

Answer:

Odd

Step-by-step explanation:

The function is odd because cubic functions are always odd.

3 0
3 years ago
Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?
aliina [53]

Answer:

42

Step-by-step explanation:

Let the number be "x"

We translate the word equation to algebraic equation.

First,

subtract 6 from me, so we have:

x - 6

Now,

Multiply by 2, so we have:

2(x-6)

Now,

Subtract 40, then divide by 4:

\frac{2(x-6)-40}{4}

Now, you get "8", so equate this to 8, we get:

\frac{2(x-6)-40}{4}=8

We now solve using algebra:

\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42

The number is 42

7 0
3 years ago
Can you help me anyone with this answer and I will do in return by marking you as a brainliest answer so plz plz plz help me.(RE
Murrr4er [49]
The price for each cd equals 9.95 so I would estimate it to 10$
7 0
3 years ago
Read 2 more answers
Someone help me on this please
irina [24]

Answer:

C. The triangles are not similar.

Step-by-step explanation:

Divide the short sides and long sides to see if they are similar:

24/16 = 1.5

36/28 = 1.29

The triangles are not similar.

4 0
3 years ago
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