So I don’t have enough points for asking two answer so please anyone help me thnaks

To make a punch Anna adds 8 ounces of apple juice for every 4 ounces of orange juice if she uses 32 ounces of apple juice which

Novosadov [1.4K]

Answer:

Step-by-step explanation:

If our ratio is apple juice to orange juice, then the proportion will be

$\frac{a}{o}:\frac{8}{4}$

If we are looking for how much orange juice she needs if she uses 32 ounces of apple juice, then 32 goes on top of a new ratio and x goes on bottom:

$\frac{a}{o}:\frac{8}{4}=\frac{32}{x}$

That's the proportion. If you need to solve it, cross multiply to get

8x = 128 so

x = 16 ounces of orange juice

6 0

3 years ago

Myra bought a pair of jeans that cost $55. The sales tax rate is 10 percent. What is the total amount she paid for the jeans?

Semmy [17]

You need to calculate the sale tax and add it to the value of the pair of pants. The tax is calculated by multiplying the cost of the pants times the rate, i.e.tax = $55 * 10% = $55 * 10/100 = $ 55*0.1 = $ 5.5. Now sum this tax to the cost of the pants: $ 55 + $5.5 = $ 60.5. Then, the answer is $ 60.50

3 0

3 years ago

please do the steps Solve for d: 1/6d-8=5/8 2. Solve for x: 3x-4+5x=10-2z 3. Solve for c: 7(c-3)=14 4. Solve for m: 11(m/22+3/44

xeze [42]

Answer:

d = 55.5

x = 1

c = 11

m = $\frac{1}{122}$

k = $\frac{a}{(c + 5)}$

Step-by-step explanation:

Sorry, the formatting is slightly hard to understand, but I think this is what you meant.

Q1.

$\frac{1}{6}$ d - 8 = $\frac{5}{8}$ x 2

Step 1. Simplify.

$\frac{5}{8}$ x 2 = $\frac{5}{8}$ x $\frac{2}{1}$ = $\frac{10}{8}$

Step 2. Cancel out the negative 8.

$\frac{1}{6}$ d - 8 = $\frac{10}{8}$

+ 8 to both sides (do the opposite: $\frac{1}{6}$ d is subtracting 8 right now, but to cancel that out, we will do the opposite of subtraction, i.e. addition)

$\frac{1}{6}$ d = $\frac{10}{8}$ + 8

Step 3. Simplify.

$\frac{10}{8}$ + 8 = $\frac{10}{8}$ + $\frac{8}{1}$ = $\frac{10}{8}$ + $\frac{64}{8}$ = $\frac{74}{8}$ = $\frac{37}{4}$

Step 4. Cancel out the $\frac{1}{6}$ .

$\frac{1}{6}$ d = $\frac{37}{4}$

÷ $\frac{1}{6}$ from both sides (do the opposite: d is multiplied by $\frac{1}{6}$ right now, but to cancel that out, we will do the opposite of multiplication, i.e. division)

÷ $\frac{1}{6}$ = x 6

So....

x 6 to both sides

d = $\frac{37}{4}$ x 6 = $\frac{37}{4}$ x $\frac{6}{1}$ = $\frac{222}{4}$ = $\frac{111}{2}$ = 55.5

Step 5. Write down your answer.

d = 55.5

Q2.

3x - 4 + 5x = 10 - 2x × 3

Step 1. Simplify

3x - 4 + 5x = 3x + 5x - 4 = 8x - 4

10 - 2x × 3 = 10 - (2x × 3) = 10 - 6x

Step 2. Cancel out the negative 6x

8x - 4 = 10 - 6x

+ 6x to both sides (do the opposite - you're probably tired of reading this now - right now it's 10 subtract 6x, but the opposite of subtraction is addition)

14x - 4 = 10

Step 3. Cancel out the negative 4

14x - 4 = 10

+ 4 to both sides (right now it's 14x subtract 4, but the opposite of subtraction is addition)

14x = 14

Step 4. Divide by 14

14x = 14

÷ 14 from both sides (out of the [14 × x] we only want the [x], so we cancel out the [× 14])

x = 1

Step 5. Write down your answer.

x = 1

Q3.

7(c - 3) = 14 × 4

Step 1. Expand the brackets

7(c - 3) = (7 x c) - (7 x 3) = 7c - 21

Step 2. Simplify

14 x 4 = 56

Step 3. Cancel out the negative 21

7c - 21 = 56

+ 21

7c = 56 + 21

7c = 77

Step 4. Cancel out the ×7

7c = 77

÷ 7

c = 77 ÷ 7

c = 11

Step 5. Write down your answer.

c = 11

Q4.

11( $\frac{m}{22}$ + $\frac{3}{44}$ ) = 87m + m × 5

Step 1. Expand the brackets

11( $\frac{m}{22}$ + $\frac{3}{44}$ ) = (11 x $\frac{m}{22}$ ) + (11 x $\frac{3}{44}$ ) = ( $\frac{11}{1}$ x $\frac{m}{22}$ ) + ( $\frac{11}{1}$ x $\frac{3}{44}$ ) = $\frac{11m}{22}$ + $\frac{33}{44}$ = $\frac{m}{2}$ + $\frac{3}{4}$