MATHEMATICS
HIGH SCHOOL

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? ____.

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

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

MIDDLE SCHOOL

Which equation us equivalent to y-2x=13

Answer:

6+3x, 6 + 3x

Step-by-step explanation:

MIDDLE SCHOOL

How do you evaluate cube roots and square roots

Cube Roots:

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:

Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that the square root of 2 is irrational.

HIGH SCHOOL

How to solve 9x+5=28

-3x-10y=-26 by Elimination

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

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)

- 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. ________________________________________________________________________________________________________________________________________

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).