An art exhibition contains paintings, sculptures, and drawings. 1/4 of the works on display are sculptures, 2/5 are paintings, and the remainder are drawings. What fraction of the work on display are drawings?

Answers

Answer 1

Answer:

The fraction of the work that are drawings is [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

we have that

100%=100/100=1

we know that

The sum of the fractions of the works must be equal to 1

Let

x -----> the fraction of the work that are drawings

so

[tex]1=\frac{1}{4}+\frac{2}{5}+x[/tex]

Solve for x

[tex]1=\frac{13}{20}+x[/tex]

Subtract 13/30 both sides

[tex]x=1-\frac{13}{20}[/tex]

[tex]x=\frac{7}{20}[/tex]


Related Questions

Bev scored 540 points . This was 158 points more then Ike scored . How many points did Ike score

Answers

Ike scored 382 points

For this case we have to:

x: Variable that represents the points scored by Bev

y: Variable that represents the points scored by Ike

According to the data we have:

[tex]x = 540\\x = y + 158[/tex]

We substitute the first equation in the second one:

[tex]540 = y + 158[/tex]

We clear the variable "y":

[tex]y = 540-158\\y = 382[/tex]

So, Ike scored 382 points.

Answer:

Ike scored 382 points.

2 step equations that equal 18

Answers

Answer:

(2x6)+6

2x6=12

12+6=18

Final answer:

Two-step equations that equal 18 can be solved by performing two operations to isolate the variable, such as subtracting and then dividing, or adding and then dividing.

Explanation:

A student is asking for examples of two-step equations that result in an answer of 18. Two-step equations involve performing two operations to solve for the unknown variable. For instance, a simple two-step equation could be x/2 + 5 = 14, where you would first subtract 5 from both sides to get x/2 = 9, and then multiply both sides by 2 to find x = 18.

Another example could be 2x - 4 = 32. To solve this equation, you would first add 4 to both sides, resulting in 2x = 36, and then divide both sides by 2 to get x = 18.

These examples help students understand how to manipulate equations using addition, subtraction, multiplication, or division to isolate the variable and solve the equation.

Willis can jump rope at a rate of 8 jumps every 10 seconds. find the unit rate​

Answers

Answer:

0.8 jumps per second

0.8 jumps/second

To make orange paint, Roger next 5/8 cup of red paint to his cup of yellow paint. He really likes of the resulting color and wants to make a large batch of the orange paint. How much yellow paint is needed to mix with one cup of red paint?

Answers

Answer:

It is needed [tex]\frac{8}{5}[/tex] cups of yellow paint to mix with one cup

of red paint

Step-by-step explanation:

* Lets explain how to solve the problem

- To make the orange pint, Roger mixed 5/8 cup of red paint to one

 cup of yellow paint

∴ The ratio of red paint to yellow paint is 5/8 : 1

- Lets simplify it by multiplying the two terms of the ratio by 8

∵ [tex]\frac{5}{8}(8):1(8)[/tex]

∴ The ratio of red paint : yellow paint = 5 : 8

∴ For every 5 cups of red paint we need 8 cups of yellow paint to

  make the orange paint

- We need to know how many yellow paint is needed to mix with

 one cup of red paint

∵     red paint        :        yellow paint

            5               :                 8

             1               :                 ?

- By using cross multiplication we can find the number of yellow cups

∴ The number of the yellow cups = [tex]\frac{1*8}{5}=\frac{8}{5}[/tex]

∴ It is needed [tex]\frac{8}{5}[/tex] cups of yellow paint to mix with one

  cup of red paint

There are 7 students at the Math Club picnic. If 2 students are drinking punch and 5 are drinking lemonade, what fraction are drinking punch?

Answers

Answer:

2/7

Step-by-step explanation:

2 are drinking punch

5 are drinking lemonade

------------------------------------

7 in total

Can someone help? It’s for geometry

Answers

What’s your question?

Answer:

1. Angle GJF

2. Angle ICD

3. Angle ACG

4. 45 degrees

5. Angle ECJ

In Troy's toy bin there are 14 red blocks. There are 6 more yellow blocks than red blocks. There are 2 more blue blocks than red blocks. How many blocks are there in all?

Answers

Final answer:

The total number of blocks in Troy's toy bin is 50, which is the sum of 14 red blocks, 20 yellow blocks, and 16 blue blocks.

Explanation:

To solve the problem regarding Troy's toy bin, we need to use basic arithmetic to calculate the total number of blocks of each color and then add them together to find the total number of blocks in the bin.

Troy has 14 red blocks, so let's represent the number of red blocks as R = 14. It's mentioned that there are 6 more yellow blocks than red blocks, which means the number of yellow blocks Y = R + 6 = 14 + 6 = 20.

The problem states that there are 2 more blue blocks than red blocks, so the number of blue blocks B = R + 2 = 14 + 2 = 16.

Now, to find the total number of blocks in the bin, we simply add the numbers of red, yellow, and blue blocks:

Total blocks = R + Y + B = 14 + 20 + 16 = 50.

Therefore, there are 50 blocks in Troy's toy bin in all.

how do i rearrange f-ex=g-hx to get x?

Answers

Answer:

x = [tex]\frac{g-f}{h-e}[/tex]

Step-by-step explanation:

Given

f - ex = g - hx

Collect the terms in x on the left side by adding hx to both sides

hx - ex + f = g ( subtract f from both sides )

hx - ex = g - f ← factor out x on the left side

x(h - e) = g - f ← divide both sides by (h - e)

x = [tex]\frac{g-f}{h-e}[/tex]

A bus can hold 42 students
If there are 400 students going on a trip, how many buses are need for all of the students to attend?

How many empty seats will be on the last (not full) bus?​

Answers

Answer:

10, there will be 20 left open

Step-by-step explanation:

if each bus holds 42 students and there are 400 going then you need to divide 400 by 42, and then round up, to find how many seats will be left open, you take the answer and then multiply it by 42 and then subtract 400.

sorry for not putting my work last time.

A hungry elf ate 20 of your muffins. That was 5/8 of all of them! With how many did you start?

Answers

Answer:

answer and explanation is in the image :)

Step-by-step explanation:

kimberly is driving 1323 miles from wichita to charleston. She drives 443 miles the first day and 409 the second day. Round each distance to the nearest ten and estimate how many miles kimberly has left to drive.

Answers

Answer:

1323 rounds to 1320

443 rounds to 440

409 rounds to 410

1320 - (440 + 410) =

1320 - 850 =

470 <=== malcolm has about 470 miles left to go

Step-by-step explanation:

Answer:

Step-by-step explanation:1323 rounds to 1320

443 rounds to 440

409 rounds to 410

1320 - (440 + 410) =

1320 - 850 =

470 <=== kimberly has about 470 miles left to go

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Triangle FGH is reflected across a vertical line to produce ABC. Which statement is true
a. The perimeter of triangle FGH is equal to the perimeter of triangle ABC.
b. The length of side BC is equal to the length of side FG
c. The length of side AB is equal to the length of side FH.
d. The length of side AC is equal to the length of side FG.​

Answers

Answer:

answer is a

Step-by-step explanation:

answer would be a because a reflection does not change the size or shape of any figure

Final answer:

A reflection of a shape maintains its size and shape, changing only its position and orientation. Thus, the perimeters and corresponding side lengths of reflected triangles FGH and ABC are equal.

Explanation:

When a shape is reflected across a line, its shape and size remain the same, although its orientation and position may change. Therefore, a reflection is a type of transformation called an isometry, also known as a congruence transformation. In the case of triangle FGH being reflected to form triangle ABC:

The perimeter of triangle FGH is equal to the perimeter of triangle ABC. This is because the lengths of the sides remain the same under a reflection.The length of side BC is equal to the length of side GH, assuming that BC corresponds to GH in the reflection.The length of side AB is equal to the length of side FG, assuming that AB corresponds to FG in the reflection.The length of side AC is equal to the length of side FH, assuming that AC corresponds to FH in the reflection.

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please help will give brainiest to whoever answers correctly!!!!

Answers

Answer:

○ B

Step-by-step explanation:

It is exactly similar to A:

One unit north over one unit west

I am joyous to assist you anytime.

0.9333 as a fraction

Answers

Answer:

0.9333 as a fraction equals 9333/10000

Step-by-step explanation:

0.9333 = 0.9333/1 = 9.333/10 = 93.33/100 = 933.3/1000 = 9333/10000

The answer is 9333/10000

60 points for this question. Solve the inequality:

Answers

Answer:

(-1,9) and the other one is in the picture

Step-by-step explanation: there is an app called photomath that solved this problem instantly. I used it to solve this.

This year a small business had a total revenue of $26,00 if this is 33% more than their total revenue the previous year. what was their total revenue of the previous year​

Answers

Answer:

19,549

Step-by-step explanation:

If 26,000 ( I'll assume you missed a 0) is 33% more than their total the previous year.

If the previous year is supposed to be 100%, this year is 100% + 33% = 133%

Using rule of three:

26,000 -> 133%

x -> 100%

x = 100/133 * 26,000 = 19,549

what is the sum of the complex numbers below? 4−7i and −3+5i
a −i
b 1+2i
c 3
d 1−2i

Answers

Answer:

d 1–2i

Step-by-step explanation:

(4–7i)+(–3+5i)=1–2i

Final answer:

The sum of the complex numbers 4−7i and −3+5i is obtained by adding the real parts and the imaginary parts separately. This gives a result of 1 - 2i.

Explanation:

To find the sum of two complex numbers, you simply add the real parts together and the imaginary parts together separately.

So, you add the real parts (4 and -3), which equals 1, and the imaginary parts (-7i and 5i), which equals -2i.

Thus, the sum of the complex numbers 4−7i and −3+5i is 1 - 2i.

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The product of six and three less than the number

Answers

6=3-x I’m not sure tho

The product of six and three less than the number is 6(x - 3) where x is the variable.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is:

Write the mathematical expression, and use x as a variable.

The product of six and three less than the number

x is the variable;

Three less than a number = x - 3

The product of 6 and (x - 3)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

= 6(x - 3)

Thus, the product of six and three less than the number is 6(x - 3) where x is the variable.

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Liam bought a comic book and had $5 left. If he had a total of $8 walking into the store, how much did he spend on the comic book?

Liam used the equation 5x=8 to model the problem. He said that x represents the amount of money he spent. Liam said that the solution, x=1.6, means that he spent $1.60. Is he correct? Why or why not? If he is incorrect find the correct answer showing your work.

Pls Help Me

Answers

Answer:

Liam is incorrect

He spent $3 on the comic book

Step-by-step explanation:

Let

x -----> represents the amount of money he spent

we know that

The amount of money he spent plus the money he had left must be equal to the money he had when he walked into the store.

so

The linear equation that represent this problem is

x+5=8

solve for x

subtract 5 both sides

x=8-5=$3

therefore

Liam is incorrect

He spent $3 on the comic book

point O lies in the interior of angle MNP. if the measure of MNO is x^2 + 10x, the measure of ONP is x^2 - 2x , and the measure of MNP is 3x^2 + 12, find the value of x. then find the measure of ONP

Answers

Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

[tex]\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}[/tex]

[tex]x = 2 \text{ or }x = 6[/tex]

2. Find the measures of the angles

(a) x = 2

∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0

This answer does not make sense because O lies in the interior of ∠MNP.

We disregard x = 2.

(b) x = 6

∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24

If f(n) = n2 - 2n, which of the following options are correct? Select all that apply. f(2) = 0 f(1) = 3 f(-4) = 24 f(5) = 35 f(-2) = 0

Answers

Answer:

f(2)=0

f(-4)=24

Step-by-step explanation:

We are given

f(n)=n^2-2n

We are asked which of the following are true?

f(2)=0

f(1)=3

f(-4)=24

f(5)=35

f(-2)=0

Let's start with f(2)=0.

f(2)=2^2-2(2)

f(2)=4-4

f(2)=0

So f(2)=0 is true.

Moving on to f(1)=3.

f(1)=1^2-2(1)

f(1)=1-2

f(1)=-1

So f(1)=3 is false.

Now for f(-4)=24.

f(-4)=(-4)^2-2(-4)

f(-4)=16+8

f(-4)=24

So f(-4)=24 is true.

f(5)=35?

f(5)=5^2-2(5)

f(5)=25-10

f(5)=15

So f(5)=35 is false.

Finally f(-2)=0.

f(-2)=(-2)^2-2(-2)

f(-2)=4+4

f(-2)=8

So f(-2)=0 is false.

Answer:

The correct option are,

f(2) = 0, and f(-4) = 24

Step-by-step explanation:

Given function,

[tex]f(n) = n^2 - 2n[/tex]

By substituting n = 2,

[tex]f(2) = 2^2 - 2(2) = 4 - 4 = 0[/tex]

By substituting n = 1,

[tex]f(1) = 1^2 - 2(1) = 1 - 2 = -1[/tex]

By substituting n = -4,

[tex]f(-4) = (-4)^2 - 2(-4) = 16 + 8 = 24[/tex]

By substituting n = 5,

[tex]f(5) = (5)^2 - 2(5) = 25 - 10 = 15[/tex]

By substituting n = -2,

[tex]f(-2) = (-2)^2 - 2(-2) = 4 + 4= 8[/tex]

the sum of 12 and a number x is equal to 15

Answers

Answer:

The answer would be 3.

Step-by-step explanation:

This can be found by subtracting 12 from both sides and then the x will be alone on one side and be set equal to 3 on the other side.

12+x=15

15-12=3

12+3=15

x=3

Which of the following are solutions to the question below? Check all that apply.
6x^2-2x+36=5x^2+10x
A. -4
B. -3
C. 4
D. 6
E. -6
F. 18

Answers

Answer:

D

Step-by-step explanation:

Given

6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )

x² - 12x + 36 = 0 ← in standard form

(x - 6)² = 0 ← in factored form, thus

x - 6 = 0 ⇒ x = 6 → D

HELP PLS! THANK YOU!
1) In the morning, the temperature was -4.6 F. By the afternoon, the temperature was -9.4 F. What was the change in temperature
2) Ron made withdrawals of $46.79 and $18.93 from his checking account. He also deposited $30. If his balance before these transactions was $71.24, what is his balance now?
EXPLANATION PLS!

Answers

Answer:

#1 is 4.8 F and #2 is $35.52

Step-by-step explanation:

#1 Basic subtraction

9.4-4.6=4.8

#2

71.24-46.79-18.93+30

Break it out 71.24-46.79=24.45

Then 24.45 - 18.93= 5.52

Lastly 5.52+30=35.52

what is the answer to a-5<1

Answers

Answer:

a < 6

Step-by-step explanation:

Given

a - 5 < 1 ( isolate a by adding 5 to both sides )

a < 6

A commuter has $245 in his commuter savings account. This account
changes by -$15 each week he buys a ticket. In one time period, the
account changed by -$240..... For how many weeks did the commuter buy tickets?​

Answers

I’m not 100% sure but probably 16 weeks

Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time, he made faces at his stuffed tiger. How long did Calvin spend making faces at his tiger?

Answers

Answer: 6 2/3 minutes

Step-by-step explanation:

30-23 1/3=6 2/3

Answer: [tex]\frac{20}{3}\ minutes[/tex] or [tex]6 \frac{2}{3}\ minutes[/tex]

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

[tex]23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes[/tex]

You know that he had 30 minutes in time-out, he counted spots on the ceiling for [tex]\frac{70}{3}[/tex] minutes and the rest of the time he made faces at his stuffed tiger.

Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and [tex]\frac{70}{3}[/tex] minutes:

[tex]30\ min-\frac{70}{3}=(\frac{3(30)-70}{3})=\frac{20}{3}\ minutes[/tex] or [tex]6 \frac{2}{3}\ minutes[/tex]

What is 5x23x2 using any property

Answers

Answer:

230

Step-by-step explanation:

First, you multiply 5 x 23. You'll get 115 as your answer. Multiply 115 x 2, and you'll get 230 as your answer.

Answer:

Step-by-step explanation:

230

(Please help this is a test ;-;) The area of a rectangle is 130 millimeters^2. The length is 3 millimeters greater than its width. Let x represent the width of the rectangle. Which equation can be used to solve for x?


A. 3x^2 equals 130


B. x^2 + 3 = 130


C. x (x + 3) = 130


D. (x + 3)^2 = 130

Answers

Answer:

C

Step-by-step explanation:

L=X+3

LW=130

-substitute X+3 as L:

X(X+3)=130

Can someone explain how to do this please ASP thank you

Answers

Answer:

2) 10

4) 7

6) 7

Step-by-step explanation:

what equals 10? 10

what is subtracted from 3 equals 4? 7

what is multiplied by 7 and equals 49? 7

Have a nice day!!!!!!!!!! :-)

KA

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