Dominic spent hours on his art project. Rachel worked times as long on her art project as Dominic worked. For how many hours did Rachel work on her art project?

Answers

Answer 1

Answer:

Rachel worked for [tex]3\frac{2}{3}[/tex] hours

Step-by-step explanation:

See comment for complete question

Given

Let

[tex]D = Dominic[/tex]

[tex]R = Rachel[/tex]

So:

[tex]D = 2\frac{3}{4}[/tex]

and

[tex]R =1\frac{1}{3}[/tex] as long as D

Required

Determine the number of hours spent by Rachel

This implies that:

[tex]R =1\frac{1}{3}[/tex] as long as D

Rewrite as:

[tex]R =1\frac{1}{3} * D[/tex]

Substitute: [tex]D = 2\frac{3}{4}[/tex]

[tex]R =1\frac{1}{3} * 2\frac{3}{4}[/tex]

Express as improper fraction

[tex]R =\frac{4}{3} * \frac{11}{4}[/tex]

This gives:

[tex]R =\frac{1}{3} * 11[/tex]

[tex]R =\frac{11}{3}[/tex]

Express as mixed numbers

[tex]R =3\frac{2}{3}[/tex]

Hence, Rachel worked for [tex]3\frac{2}{3}[/tex] hours


Related Questions


Sunny School has 2 classrooms in every grade
from Kindergarten to 5th grade. Tiny School
has 12 as many classrooms.

Answers

Answer:

144

Step-by-step explanation:

2x6 = 12

12x12= 144

A box contains 14 stuffed animal rabbits and 6 stuffed animal bears. What is the probability of selecting a stuffed animal rabbit, replacing it, and then selecting a stuffed animal bear? *

Answers

Answer:

14/20 times 6/20=84/400=21/100

Step-by-step explanation:

Tapanga drew triangle XYZ on her paper the measure of angle X was 80 degrees angle y was congruent to angle Z what was measure of angle Z

Answers

Answer:

50degrees

Step-by-step explanation:

The sum of angle in the triangle XYZ is 180degrees, hence;

<X + <Y + <Z = 180

Given

m<X = 80degree

m<Y = m<Z

Required

m<Z

Substitute the given angle

80 + m<Z + m<Z = 180

80 + 2m<Z = 180

2m<Z = 180 - 80

2m<Z = 100

m<Z = 100/2

m<Z = 50degrees

Hence the measure of angle Z is 50degrees

Solve:
Six more than three times a number is eighteen.
The number is

Answers

Answer:

3n + 6 = 18

3n = 12

n = 4

Step-by-step explanation:

18 - 6 = 12

12/3 = 4

PLZ GIVE ME BRIANLIEST!!!

Answer:

3 x X + 6 = 18

3x + 6 = 18

-6          -6

3x = 12

divide by 3 on both sides.

X = 4

Brainliest appreciated.

I consider x as "a number" so you would put a variable.

The data show the times (in minutes) spent fishing before getting a bite. 12, 25, 28, 20, 18, 16, 22, 30 What fraction of the times are less than or equal to 17 minutes?

Answers

Answer:

1/4

Step-by-step explanation:

Firstly, we need the numbers that are less than or equal to 17 minutes

These numbers from the data set are;

12 and 16

The count of numbers is;

8

so the fraction we need is simply 2/8

and that is 1/4

Find the smallest side of CDE?

Answers

side CE because it is across from the smallest degree.
It’s D because it is 56*

The function g(x) = f(x) – 8. Which of the following is true about the graph of g(x).

(A) The graph of g(x) is shifted 8 units to the right of the graph of f(x).
(B) The graph of g(x) is shifted 8 units to the left of the graph of f(x).
(C) The graph of g(x) is shifted 8 units below the graph of f(x).
(D) The graph of g(x) is shifted 8 units above the graph of f(x).

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

What single percentage change is equivalent to a 11% decrease followed by a 15% decrease?

Answers

Answer:

Read the explanation to find your answer.

Step-by-step explanation;  

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.

Answer:

The answer is 75.65%.

Step-by-step explanation:

Since we are decreasing the percentages, we will first take 100 and subtract 11% from it, which is 89%.  Now take 15% and turn it into decimal form, and we get 0.15.  Then multiply 0.15 by 89 and we get 13.35.  Now we have our number 13.35, we will subtract 89 from 13.35, and we get 75.65%.  Therefore, the answer is 75.65%.

Three pairs of shoes cost $108. If each pair costs the same, how much does each one cost?

A.$32

B.$34

C.$36

D.$38

Answers

Answer:

C: 36

Step-by-step explanation:

There are 3 pairs of shoes. They all cost the same. Since these shoes add up to 108 dollars, they basically multiply by three to get to 108. (3x=108) If you want to figure out the cost of one shoe you just have to reverse the process by using division. So just do simple division by dividing 108 by three (108/3=x) and there is your answer, 36.

36

108 divided by 3 is 36

What’s the range of this graph?

Answers

Answer:

(5, negative infinity)

The ratio of mango ice cream to strawberry ice-cream is 1:4. Total no. of ice cream is 30. What is the no. of mango ice-cream?

Answers

Step-by-step explanation:

let the ratio of ice cream be x&4x

total number of ice cream =30

now,

x+4x=30

5x=30

x=30/5

x=6

mango ice cream=x=6

strawberry ice cream=4x=4×6=24

hope it helps.

Answer:

6 !

Step-by-step explanation:

mango = x

strwberry = 4x

total = x+4x = 5x = 30

5x= 30

x= 30/5 = 6

mango = x= 6

strwberry = 4x = 24

I hope im right!

Can anyone help me with my homework

Answers

Step-by-step explanation:

you need to use pythagorean theorem to solve to do it fast, just take the square root of the two two side squared. that would give you the answer the fastest

50 POINTS PLS HELP

Choose all the formulas that correctly represent the arithmetic sequence 101, 114, 127, .... Select the two correct answers.(1 point)

an=101+13n

an=13+101(n−1)

an+1=an+13, a1=101

an=101+13(n−1)

an+1=an+101, a1=13

Answers

Answer:

an=101+13(n−1)

an+1=an+13, a1=101

Due tonight *no links*

Answers

Answer:

∠x = 36°

Step-by-step explanation:

∠a = 180° - 106° = 74°

=> ∠b = 180° - 40° - 74° = 66°

=> ∠c = 180° - 66° = 114°

=> ∠d = 180° - 114° - 30° = 36°

=> ∠x = ∠d = 36°

A train travels 360 miles in 4.5 hours, moving at a constant speed. How many hours will it take the train to travel 560 miles at this speed?

Answers

Answer:

The answer would be: 560 miles = 84.5 hours

~ i rlly hope this has helped, have a gr8 day/night my friend!~

Step-by-step explanation:

Plsssssssss helppppp will give brainliest plss

Answers

Answer:

The range is 58

Step-by-step explanation:

In math, the range of a data set is the difference between the highest and lowest value. In this data set, we can see that the highest value is 65, and the lowest value is 7. 65 - 7 = 58.

The coordinates for a quadrilateral are (0.0), (-1,2), (1,6) and 2,4). Determine the type of
quadrilateral.

Answers

Answer:

parallelogram

Step-by-step explanation:

The answer would be a parallelogram

Please help ASAP ASAP

Answers

Answer:X=110

Step-by-step explanation:

When you divide 196 by 20 you get 9.8 so when you divide 1078 by 9.8 you get 110

I think that the answer is 110=x

Sebastian is at a restaurant with his family and is choosing an appetizer, a main course,
and a side item for his meal.
He has already chosen a salad and chicken. Which list shows all possible options
for his final meal?

Answers

Answer: Top right

Step-by-step explanation:

thank me later

Lucy flipped a coin 140 times. What is the
theoretical probability that it will land on
tails? Your answer must be in fraction form.

Answers

Answer:

70/140 or 1/2

Step-by-step explanation:

He sum of seven interior angle measurements in an octagon equal 845º. What is the angle measurement of the 8th angle?

Answers

Answer: [tex]235^{\circ}[/tex]

Step-by-step explanation:

Given

The Sum of the seven interior angles of an octagon is [tex]845^{\circ}[/tex]

for a Polygon, the sum of the interior angles is given by [tex](n-2)180^{\circ}[/tex]

for octagon, n=8

The Sum of interior angles is [tex](8-2)360^{\circ}=1080^{\circ}[/tex]

Suppose the eighth angle be [tex]x[/tex]

[tex]\therefore x+845=1080\\\Rightarrow x=235^{\circ}[/tex]

The [tex]8^{th}[/tex] angle is [tex]235^{\circ}[/tex]

Find the length of each arc. Round your answer to the nearest tenth

Answers

Answer:

D

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{\frac{\pi }{6} }{2\pi }[/tex] ( cancel the 2π )

    = 12 × [tex]\frac{\pi }{6}[/tex] = 2π ≈ 6.3 ( to the nearest tenth ) → D

Does anybody know how to solve this problem, but using the work shown to help solve?

The value of y varies directly with x. When y=75, x= 0.5. What is the value of y when x is 2.25?

Even though I pulled up the work, I still don’t know what to do ‍♀️

Answers

Answer:

y=337.5 when x = 2 1/4

Step-by-step explanation:

Well first we want to know what's the function here

How do we get y to be 75 if x is .5?

75/.5 is 150

so can we say the function is 150x=y

Now lets plug

2 1/4 or 2.25 for x

2.25*150 = 337.5

y=337.5 when x = 2 1/4

Hope that helps!

Hey can you help me fast!!! I will give brain list if the answer is right!

Answers

Answer:

Exact form:

-165/16

Decimal Form:

-10.3125

Mixed number Form:

-10 5/16

Answer:

-165/16

Step-by-step explanation:

= -5(2 1/16)

= -5(33/16)

= -165/16

Solve for X -3/4(x+2)=6

Answers

Answer:

-10

Step-by-step explanation:

-3/4(x+2)=6

x+2=6/(-3/4)

x+2=(6/1)(-4/3)

x+2=-24/3

x+2=-8

x=-8-2

x=-10

answer for brainilest and 11 points

Answers

Answer:

Top right corner

Step-by-step explanation:

A city council consists of sevenseven Democrats and eighteight Republicans. If a committee of fivefive people is​ selected, find the probability of selecting twotwo Democrats and threethree Republicans.

Answers

Answer:

The probability of selecting two Democrats and three Republicans is 10.7%.

Step-by-step explanation:

Given that a city council consists of seven Democrats and eight Republicans, if a committee of five people is selected, to find the probability of selecting two Democrats and three Republicans the following calculation must be performed:

7 = 100

2 = X

2 x 100/7 = X

28.57 = X

8 = 100

3 = X

3 x 100/8 = X

37.5 = X

0.2857 x 0.375 = X

0.107 = X

0.107 x 100 = 10.7

Therefore, the probability of selecting two Democrats and three Republicans is 10.7%.

Devin bought c chocolates. Marco bought 2 times as many chocolates as Devin. Write an
expression that shows how many chocolates Marco bought.

Answers

Answer:

2 x c chocolates.

Step-by-step explanation:

This is pretty much just a matter of interpreting the words, substituting "c" for chocolates, and x 2 for "2 times."

What’s the maximum

Answers:
48
50
45
49
34

Answers

Answer:

It’s 50

Step-by-step explanation:

I just know

50!! There you goooo

evaluate the following using distributive property
(-15/4 x 3/7 + -7/5 + (-15/4 x -12/5)

Answers

Answer:

5.99285714286

Step-by-step explanation:

5.99285714286

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