The ratio of Sunita’s age to Mark’s age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark’s current age?

One serving of a fruit punch recipe serves 16 people. ( number of servings, number of people served .) which of the following li

Inessa05 [86]

It would be list f. Each serving(1)serves16 so 2 servings serve 32 and so on.

8 0

3 years ago

Obama wants to know your location? <br> WHat do you do

Travka [436]

mr obama must be protected. the n word must not reach him either. i will protect him with my life. i give him my location so he can hide in my basement. im calling skipper right now

5 0

3 years ago

Point Y is in the interior of ∠XWZ. Given that WX→ and WZ→ are are opposite rays, and m∠XWY=4(m∠YWZ) is m∠YWZ?.

EleoNora [17]

Answer:

m∠YWZ=36°

Step-by-step explanation:

Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.

If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.

Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then

m∠XWY+m∠YWZ=180°

You are given that

m∠XWY=4(m∠YWZ).

Substitute it into the previous equality:

4(m∠YWZ)+m\angle YWZ=180°

5(m∠YWZ)=180°

m∠YWZ=36°

5 0

3 years ago

Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0

3 years ago

Read 2 more answers

Will mark brainliest <br> 20 pionts<br> Show work

Rufina [12.5K]

Answer:

Part A) The percentage increase was $6.1\%$

Part B) Michael is financially better off this year than last year

Step-by-step explanation:

Part A)

we know that

Using proportion

Let

x-----> the percentage increase

$\frac{100\%}{33,000}=\frac{x\%}{35,000-33,000}\\ \\x=2,000*100\%/33,000\\ \\x=6.1\%$

Part B) Compare the percentage increase with the inflation

$6.1\%>5\%$

The percentage increase is greater than the inflation

therefore

Michael is financially better off this year than last year

8 0

3 years ago

Read 2 more answers