MATHEMATICS HIGH SCHOOL

Paula’s salad dressing recipe calls for 8 ounces of oil for every 3 ounces of vinegar. Carlo’s recipe has 1 ounce of vinegar for every 4 ounces of oil. Whose recipe has a smaller ratio of vinegar to oil? Paula’s dressing ratio of vinegar to oil written as a fraction is ____.
Carlo’s dressing ratio of vinegar to oil written as a fraction is ____.
A common denominator for these fractions is ____.
Whose recipe has a smaller ratio of vinegar to oil? ____.

Answers

Answer 1
Answer: We know that
a) Paula’s recipe calls for 8 ounces of oil for every 3 ounces of vinegar
ratio of vinegar to oil-----> 3 ounces/8 ounces-----> 0.375


b) Carlo’s recipe has 1 ounce of vinegar for every 4 ounces of oil
ratio of vinegar to oil-----> 1 ounces/4 ounces---> 0.25

1) Whose recipe has a smaller ratio of vinegar to oil?
0.25< 0.375
so
Carlo’s recipe < Paula’s recipe

the answer Part 1) is
Carlo’s recipe has a smaller ratio of vinegar to oil--- > 0.25

Part 2) Paula’s dressing ratio of vinegar to oil written as a fraction is 3/8

Part 3)Carlo’s dressing ratio of vinegar to oil written as a fraction is 1/4  (is equal to 2/8)

Part 4) A common denominator for these fractions is 8

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MIDDLE SCHOOL

Which equation us equivalent to y-2x=13

Answers

Answer:

6+3x, 6 + 3x

Step-by-step explanation:

MIDDLE SCHOOL

How do you evaluate cube roots and square roots

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To find the cube root of a number, you want to find some number that when multiplied by itself twice gives you the original number. In other words, to find the cube root of 8, you want to find the number that when multiplied by itself twice gives you 8. The cube root of 8, then, is 2, because 2 × 2 × 2 = 8.

Square Roots:

When the square root of a number is squared, the result is the original number. Since 4^2 = 16, the square root of 16 is 4. The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root.

Both Cube Roots and Square Roots:

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HIGH SCHOOL

How to solve 9x+5=28
-3x-10y=-26 by Elimination

Answers

So elimination
I assume that you meant to write
9x+5y=28 and not 9x+5=28
so

elimination is basically eliminating values

9x+5y=28
-3x-10y=-26
we can either cancel out the x terms or the y terms, I will cancel out the y terms

9x+5y=28
multipy both sides by 2
18x+10y=56
add to other equation


18x+10y=56
-3x-10y=-26  +
15x+0y=30
15x=30
divide both sides by 15
x=2

subsitute

9x+5y=28
9(2)+5y=28
18+5y=28
subtract 10 from both sides
5y=10
divide both sides by 5
y=2


x=2
y=2

9x + 5 = 28
      - 5   - 5
      9x = 23
       9      9
        x = 2⁵/₉

-3(2⁵/₉) - 10y = -26
    -7²/₃ - 10y = -26
  + 7²/₃             + 7²/₃
            -10y = -18¹/₃
             -10      -10
                 y = 1⁵/₆
           (x, y) = (2⁵/₉, 1⁵/₆)
MIDDLE SCHOOL

Write an expression with two terms. 1 term should have a coefficient with a variable and the other term should be constant. Name the coefficient, the variable, and the constant in the expression. Then write a word phrase for your expression. ________________________________________________________________________________________________________________________________________

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

The 2 would be the coefficient with x as a variable, and the 5 would be the constant.

At the beginning of the day Jessica had 5 dollars (constant), and for every hour she worked (variable), she made 2 dollars (coefficient).

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