An art teacher divided her students into two groups of equal size.

25 of the first group prefers acrylic paint over watercolor paint.
60% of the second group prefers acrylic paint over watercolor paint.
What fraction of the students prefers watercolor paint over acrylic paint?

Answers

Answer 1

Answer:

67.5% or 68%

Step-by-step explanation:

Say each group has 100 students. 25% of 100, is 25 students.

25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.

60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.

25+40=65

60+75=135

That is true, since there are 200 students in total.

Now set up a ratio, with watercolor over acrylic.

135:65

135 is 67.5% of 200.

I really don't know if that is a choice, so maybe 68%?

-hope it helps


Related Questions

Which equation best represents the line? ​

Answers

Answer:

the fourth one.. y = 3/4x + 4

You have 4/3 chocolate bars. You want to give 1/2 of the chocolate bars you have to your friend. What fraction of the chocolate bars would each of you get

Answers

The answer would be 2/3

The fraction 8/3 of the chocolate bars would each of you get.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have 4/3 chocolate bars.

You want to give 1/2 of the chocolate bars to your friend.

To find the fraction of the chocolate bars would each of you get:

Use division operation,

4/3 ÷ 1/2

Rearranging to multiplication term,

4/3 x 2/1

= 8/3

Therefore, 8/3  fraction of the chocolate bars would each of you get.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Estimate the quotient of 57.87 ÷ 5 A) 9 B) 10 C) 11 D) 12

Answers

Answer:

C, 11

Step-by-step explanation:

10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer

Answers

Answer:

$175.45

Step-by-step explanation:

8.25 / 0.75 = 11

15.95 x 11 = 175.45

How many solutions does this system of equations have?


Exactly one

None

Infinitely many

Exactly two

Answers

Answer:

Infinitely many

Step-by-step explanation:

1. When is it best to solve a system of equations using graphing?
2. When is it best to solve a system of equations using substitution?
3. When it is best to solve a system of equations using elimination? When it is

Answers

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

For health reasons, Amir wants to drink eight
glasses of water a day. He's already had six
glasses. What fraction of eight glasses does
Amir have left to drink?
A. 1/8
B.1/6
C. 1/4
D.1/3

Answers

Answer is C, 1/4 left to drink. 6/8 reduces to 3/4, so 3/4 + 1/4 = 1 whole, or 8/8

Write the following equation in slope-intercept form.
3 x- 2 y=5

y= 3/2 x - 5/2
y= -3/2 x -5/2
y= -3/2 x + 5/2​

Answers

Answer:

A)

Step-by-step explanation:

3x-2y=5

2y=3x-5

y=3/2x-5/2

y = 3/2x + -5/2

hope this helps!

Bella is training for a marathon. She can run 19 miles in 150 minutes. How many miles can she run in 5 hours?

Answers

Answer:

Step-by-step explanation:

The answer is 38 miles

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C

Answers

Answer:

A. No, it does not represent a proportional relationship.

B. Yes, it represents a proportional relationship.

C. No, it does not represent a proportional relationship.

Step-by-step explanation:

think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.

Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time

Answers

Answer:

$700.000 is the interest

Step-by-step explanation:

hope the answer helps

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

The total interest is $2100.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

We have,

P = $5000

R = 7%

T = 6 years

SI = P x R x T / 100

SI = 5000 x 7 x 6 / 100

SI = 50 x 7 x 6

SI = 50 x 42

SI = $2100

Thus,

The total interest is $2100.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

How many terms are in the expression 3xy+2x+1​

Answers

Answer:

4

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

Tyrone received the same score on each hand in a card game. His score on each hand was −18. He played 6 hands.

What was Tyrone's final score?

Enter your answer in the box.

points

Answers

-108 points

How?

Because -18×6=-108

------(Showed you some proof from above)

Please guys I have 10 maybe 20 minutes to get this finished

Answers

Answer:

so there are 100 pennies in one dollar so

100*1000000=100000000

or 100 million

Hope This Helps!!!

One million dollars is
1,000,000
Which is 1.0 * 10^6

A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?

Answers

The original number of spoons is 958

Let the total number of spoon be x.

The first day, 25 spoons were removed.

So, the remaining spoon (r) is:

[tex]r =x -25[/tex]

15% of the remaining spoon were used.

So, we have:

[tex]15\% \times r =15\% \times (x -25)[/tex]

This 15% represents 140 spoons.

So, the equation becomes

[tex]15\% \times (x -25) = 140[/tex]

Express 15% as decimal

[tex]0.15 \times (x -25) = 140[/tex]

Divide both sides by 0.15

[tex](x -25) = 933[/tex]

Remove brackets

[tex]x -25 = 933[/tex]

Add 25 to both sides

[tex]x= 958[/tex]

Hence, the original number of spoons is 958

Read more about proportion at:

https://brainly.com/question/12182733

kevin's family left on flight 737 to new york.flight 737 traveled 1346 miles in 3 hours.what is the unit rate?

Answers

Answer:

 448 2/3

Step-by-step explanation:

To find miles in 1 hour (the unit rate), divide miles by hours.

  (1346 mi)/(3 h) = 448 2/3 mi/h

The unit rate is 448 2/3 miles per hour.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given,

Miles (m) = 1346

Time (h) = 3 hours

Unit rate = ?

The standard formula for unit rate is given by,

[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]

The unit rate for the flight 737 is 448 2/3 miles per hour.

PLEASE HELP QUESTION IN PIC.

Answers

Answer:

21.8

Step-by-step explanation:

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3. 5 feet from the base of a wall?.

Answers

The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs

The ladder length represent the hypotenuse sides

The distance of the ladder to the base of the wall is one of the leg.

The height on the wall the 15 ft ladder reach is the other leg

Therefore,

a² = 15² - 3.5²

a² = 225 - 12.25

a = √212.75

a = 14.5859521458

a ≈ 14.6 feet

learn more on Pythagoras theorem: https://brainly.com/question/13734303?referrer=searchResults

Answer:

C

Step-by-step explanation:

just took the test trust cuties

y=−2x+7
y=5x−7

x=
y=

Answers

Answer:

x = 2

y = 3

Explanation:

Olivia reads 72 pages in 40 minutes. How many pages can she read per minute?

Answers

Answer:

1.8 pages a minute

Step-by-step explanation:

Olivia can read 1.8 pages per minute.

find 4/5 x 1 2/3?? please help!

Answers

0.2 is the correct answer because you simplify then solve

26 30 45 43 26 14 28 33 56 29 what is the medain of this data set

Answers

Answer:

26isthemedian

Step-by-step explanation:

A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm​

Answers

Answer:

20 cm

Step-by-step explanation:

Use the formula

A=4πr^2

Solving for radius

[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441

We are given –

[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]

A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–

[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]

Just use the formulas for the sphere's area to determine the radius.

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]

Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].

Given each function and domain, find the range values. y=3/5x+2; domain: {-10,0,5}

Answers

Given the function

[tex]y=\dfrac{3}{5}x+2[/tex]

and its domain [tex]\{-10,0,5\}[/tex], its range is [tex]\{-4,2,5\}[/tex]

The domain of a function is the set of all possible values that we can input to the function.

The range of a function is the set of all possible values that a function can output.

For the function

[tex]y=\dfrac{3}{5}x+2[/tex]

if the domain is the set [tex]\{-10,0,5\}[/tex], we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.

The range will then be

[tex]\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\[/tex]

Learn more about function domain and range here https://brainly.com/question/13824428

Please help please please

Answers

Answer:

39

Step-by-step explanation:

284-5(7)²

284-(5×49)

284-245

39

Answer:

The Answer Is 70

Step-by-step explanation:

So first you have do the parentheses, (2+5) = 7

Then do the exponents [tex]7^{2}[/tex] 7.7 = 49

Next do the Multiplying 49.5= 214

Finally Subtract 284-214=70

I Hope This Helps You :)

A pilot flew a plane from an altitude of 16,400 feet to an altitude of 15,600 feet what was the change in altitude

Answers

Answer: 800 feet.

Step-by-step explanation: 16,400-15,600=800 this is an easier way the find the drop in altitude.

7/8 in lowest terms ?

Answers

Answer:

7/8 simplified to lowest terms is 7/8.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 8 is 1

Divide both the numerator and denominator by the GCD

7 ÷ 1

8 ÷ 1

Reduced fraction:  

7

8

Therefore, 7/8 simplified to lowest terms is 7/8.

write an equation
(X-P) (x-q)=0

Answers

Answer:

[tex]x^{2} -pqx+pq[/tex]

Step-by-step explanation:

evaluate the expression for the given value of x.
4x+9 for x =9​

Answers

45

since x=9 plug in 9 into the equation to get

4(9)+9

multiply 4(9) to get

36

Then add 9

which then equals 45

Answer:

answer is 45

Step-by-step explanation:

4×9=36

36+9=45

Other Questions
in the equation 3/4y+1/2=31/4 the fractional cofficient Suppose two bicyclists start at the same location.The first bicyclist rides due north and the other ridesdue west. Find the distance in miles that the firstbicyclist rode if they are 3/2 miles apart after ridingfor 1 hour at the same speed. What is velocity? Explain. if you dig a hole through the earth, from one hemisphere to the other, and drop a tennis ball into it, would it get stuck at the center, since thats where gravity's at, or would it pop up out the other side?? List the molecules of the energy investment phase in order starting from Glucose? which of the following cannot be done by the government in a command econmyA) deciding what goods consumers buy.B) setting wages for workers.C)assigning production goals to producers.D) allocating resources for maximum production Can anyone help me with my homework Olivia is making a model plant cell for an exhibit at the science fair at her school. Her plan includes using: 1) mesh screen to model the cell membrane 2) cardboard to model the cell wall 3) a battery to model the mitochondrion 4) a wooden block to model the nucleus Evaluate each of the choices Olivia made. If you agree with the choice, explain why you agree with it. If you disagree with the choice, explain why you disagree with it and indicate what she should use instead. Multiplying Integers with Integer Tiles 5(2) = The volume (V) of a rectangular pyramid can be determined by using the followingformula.IwiVWhere l= the length of the rectangle, w = the width of the rectangle, and h = the heighof the pyramid, what is the result of solving this equation for w?Ow=3V-thO2 - V +3 - thV3th3VO w= What makes Gwendolyn Brooks's poem, "The Truth," a Postmodern text? Drag each label to the correct location on the chart. Each label can be used more than once.Match each excerpt from the passage with the tone It conveys.opinion-basedinformativecriticalShaw was a drama critic for the SaturdayReview from 1859-98."Progress is impossible without change,and those who cannot change their mindscannot change anything."Shaw was awarded the Nobel Prize forLiterature in 1925.Shaw's style of writing became sopopular that his plays actually came tobe termed as "Shavian comedies.""His ideas were those of a somewhatabstract logical radicalism; hence theywere far from new, but they receivedfrom him a new definiteness andbrilliance..." Which of the following statements from the second reading best expresses Du Bois hope for the future? A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold? Jared and Casey splurged on a special dinner for their anniversary. Their dinner cost $262.57,and the local sales tax is 4%. If they left a 20% tip on the $262.57, how much in total didthey pay? what percentage of oxygen is attributed fossil fuel combustionA.43%B.77%C.4%D.17% A car traveled 133 miles in 4 3/4 hours. What was the cars average speed in miles per hour? Since the sanctuary was established, the estimated population of American robins in the area has increased from 86 to 102.Describe the percent change in the estimated population of American robins. Round to the nearest whole percent.Enter your answer in the box to complete the sentence. Which line of evidence has been traditionally accepted as conclusive proof of evolution? the presumed age of the Earth the fossil record Darwin's treatise on the Origin of the Species absolute dating of rocks Determine the slope from the given graph below:A The slope is -7B The slope is16C The slope is 6D The slope is -6