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ddd [48]
1 year ago
6

Dominick spent 2 3/4 hours on his art project Rachel worked one and 1/3 times as long on her art project as Dominick worked for

how many hours is Rachel work on her our project
Mathematics
1 answer:
inna [77]1 year ago
6 0
Answer is Rachel worked 3 2/3 hours

Step by step

Dominic worked 2 3/4 hours

Rachel worked (1 1/3) times (2 3/4)

1 1/3 x 2 3/4. Change into an improper fraction

4/3 x 11/4. multiply across

44/12

Simplify

= 3 2/3
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Suppose that y varies directly with x and y=5 when x=6. What is y when x=5? Be sure to simplify your answer.
Charra [1.4K]

Answer:

y = \frac{25}{6}

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 5 when x = 6

k = \frac{y}{x} = \frac{5}{6}

y = \frac{5}{6} x ← equation of variation

When x = 5, then

y = \frac{5}{6} × 5 = \frac{25}{6}

8 0
3 years ago
Carlos's restaurant check is for $24.50. If he wants to add a 17% tip, what total amount should he pay?
Licemer1 [7]
First, convert the 17% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 17%) by 100%.So, the conversational term "17%" becomes 17% / 100% = 0.17 in terms of a real mathematical number.
Second, you need to find out what 17% of your $24.50 meal cost is.This is always done by multiplying 0.17 by $24.50

0.17 x $24.50=$4.16.
So, the amount of tip you are going to leave is $4.16.

This makes the total cost of your meal (to write on your charge slip or other payment)

$24.50 + $4.16 = $28.67.
7 0
3 years ago
Read 2 more answers
For every 1% increase in
givi [52]

Answer:

The GDP gap is 9 % when there is 4.5 % unemployment.

Step-by-step explanation:

The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:

r = \frac{2\,\% \,GDP}{1\,\% unemp.}

The GDP gap at a given increase in unemployment can be estimated by the following expression:

\frac{g}{u} = r

g = r\cdot u

Where:

r - GDP gap-unemployment increase rate, dimensionless.

u - Increase in unemployment rate, measured in percentage.

g - GDP gap, measured in percentage.

If r = \frac{2\,\% \,GDP}{1\,\% unemp.} and u = 4.5\,\%\,unemp., the GDP gap is:

g = \left(\frac{2\,\%\,GDP}{1\,\%\,unemp.} \right)\cdot (4.5\,\%\,unemp.)

g = 9\,\%\,GDP

The GDP gap is 9 % when there is 4.5 % unemployment.

3 0
3 years ago
To transport 228 people to an island island ferry make six different trips on each trip the ferry carries the same number of peo
Tju [1.3M]
240 I calculated it your welcome :)
3 0
3 years ago
Read 2 more answers
Help with number 10 please
galben [10]
The answer would be 1/3. You have to work backwarda for this problem. You start off by subtracting 5/4 - 3/4 =2/4 which simplifies to 1/2. Then, you have to add 1/6. Using the greatest common denominator, you have 3/6 + 1/6=4/6 which simplifies to 2/3.
5 0
3 years ago
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