Question 1. (3 points) a. Show that the ratios 14/18 and 28/36 form a proportion by finding a
common multiplier.

b. Show that 14/18 and 28/36 are equal by writing them in simplest
form.

Question 2. (4 points)
Find the unit price. Which is the better buy? Explain.
Electrical wire:
$1.89 for 3 ft.
$0.89 for 18 in.
(Remember 1 ft. = 12 in.)

Question 3. (2 points)
A recipe for 30 cookies calls for 4 tablespoons of sugar. If you
make 40 cookies and use 5 tablespoons of sugar, will the
cookies taste the same? Explain.

Question 4. (3 points)
A package of spaghetti weighs 238 grams. How many ounces
does the package weigh? 1 oz = 28 g.

Question 5. (8 points)
The triangles are similar.
a. Find y using the ratio of the sides 6 cm and 8 cm:
y/24 = 68
b. Find y using the ratios of the sides 15 cm and 20 cm.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

i believe the answer is the polygon, heptagon.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .