The table shows a ratio used to make orange paint. Using the table, how many quarts of yellow paint would be required to make this shade of orange if you used 9 quarts of red paint?

The Table Shows A Ratio Used To Make Orange Paint. Using The Table, How Many Quarts Of Yellow Paint Would

Answers

Answer 1

Answer:

7.5

Step-by-step explanation:

Answer 2

To make orange-shaded paint if we use 9 quarts of red paint we need 7.5 quarts of yellow paint.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given to make an orange shade paint 5 quarts of yellow paint and 6 quarts of red paint are needed.

Assuming the no. of yellow paint needed is x when 9 quarts of red paint is used.

As they are in direct proportion we can write

5 : 6 : : x : 9.

5/6 = x/9.

6x = 45.

x = 7.5.

learn more about proportion here :

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Related Questions

Larry accumulated $3,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to two decimal places.

Answers

Answer:

The amount will be "$3655.21".

Step-by-step explanation:

The given values are:

Principle,

P = $3000

Interest rate,

r = 10% i.e., 0.1

Number of times interest,

n = 4

Time,

t = 2 years

As we know,

⇒ [tex]A=P[1+\frac{r}{n} ]^{tn}[/tex]

On putting the values in the above formula, we get

⇒    [tex]=3000[1+\frac{0.1}{4} ]^{2\times 4}[/tex]

⇒    [tex]=3000[1+0.025]^8[/tex]

⇒    [tex]=3000\times 1.2184[/tex]

⇒    [tex]=3655.21[/tex] ($)

I WILL GIVE BRAINLIEST!!!!
The following figures give the distribution of land (in acres) for a county containing 67,000 acres. Identify each category on the circle graph. Land Use Acres Relative Frequency Forest 10,050 0.15 Farm 6700 0.10 Urban 50,250 0.75 A circle graph titled Land Use. Blue is about 75 percent; green, 15 percent; red, 10 percent. a. Farm - Blue - 75% Forest -Green - 15% Urban - Red - 10% c. Forest - Blue - 75% Urban - Green - 15% Farm - Red - 10% b. Urban - Blue - 75% Forest - Green - 15% Farm - Red - 10% d. Forest - Blue - 75% Farm - Green - 15% Urban - Red - 10% Please select the best answer from the choices provided A B C D

Answers

Answer:

c

Step-by-step explanation:

its c on edge

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

pls help me

Answers

Answer:

x=16

Step-by-step explanation:

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

distribute both sides

1 /2 (x−4)= 1/ 3 (x+2)

( 1 /2 )(x) + ( 1/ 2 )(−4) =( 1 /3 ) (x)+( 1/3 )(2)(Distribute)

1 /2 x+−2= 1 /3 x+ 2 /3

1 /2 x+−2= 1 /3 x+ 2 /3

Step 2: Subtract 1/3x from both sides.

1/2x -2 -1/3 x

x= 1 /3 x + 2/3  − 1/ 3 x

1 /6  x−2= 2/ 3

Step 3: Add 2 to both sides.

1 /6 x −2+2= 2/ 3  +2

1 /6 x = 8 /3

Step 4: Multiply both sides by 6.

6*( 1/6 x) =6*( 8 /3 )

x=16

First, apply the distribution property of multiplication.
1/2x - 2 = 1/3x + 2/3
Then, isolate x. To do this, subtract 1/2x on both sides and subtract 2/3 from both sides.
-2 - 2/3 = 1/3x - 1/2x
Make them the same denominator. The left side's denominator is 3 and the right side's denominator is 6.
-6/3 - 2/3 = 2/6x - 3/6x
Subtract.
-8/3 = -1/6x
Multiply both sides by -6 to get rid of the denominator on x.
-8/3 * -6 = -1/6x * -6
48/3 = x
16 = x
Your answer is 16.

What are the slope and the y-intercept of the line shown in the graph?
A y-intercept - 2 and slope = -3
B. y-intercept = 2 and slope = 3
C intercept = 3 and slope = 2
D. intercept = -3 and slope = 2​

Answers

Answer:

B. y-intercept = 2 and slope = 3

Step-by-step explanation:

Answer:

y intercept is 2 and slope is - 3

Step-by-step explanation:

(a+b)^3 what if it is was a plus ​

Answers

Answer:

Step-by-step explanation:

(a+b)³

a³+a²b+ab²+b³

Or

a³+b³+ab(a+b)

[tex](a + b)^{3} = {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]

Also do not get mixed between

[tex] {a}^{3} + {b}^{3} [/tex]

They both are not the same.

[tex](a + b)^{3} ≠ {a}^{3} + {b}^{3} [/tex]

what is the difference between 6204 and 5735​

Answers

Answer:

469

Step-by-step explanation:

Difference = subtraction6,204 - 5,735 = 469

I hope this helps!

the difference is 469

Find the 55th term of the arithmetic sequence 2, -18,-38

Answers

Answer:

-1078

Step-by-step explanation:

n=0 is the first term in the sequence.

Every next term is 20 less then the previous term.

In Mathematics you can write this as follows:

f(n) = f(0) - (n-1)*20

f(n) = f(0) - {(n-1)*20}

f(n) = f(0) - {(20n) -20}

Attention: Please note that -1 * -20 = +20

f(n) = f(0) - 20n + 20

Check yourself, find f(2):

f(0) = 2

f(2) = 2 - 20*2 + 20

f(2) = 2 - 40 + 20

f(2) = 2 - 20

f(2) = -18

Check yourself once more, find f(3):

f(0) = 2

f(3) = 2 - 20*3 + 20

f(3) = 2 - 60 + 20

f(3) = 2 - 40

f(3) = -38

Now just find f(55):

f(55) = 2

f(55) = 2 - 20*55 + 20

f(55) = 2 - 1100 + 20

f(55) = 2 - 1080

f(55) = -1078

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

It would be the 2nd one because 15+27=42 and that is less than 44 which should be more

Step-by-step explanation:

proportional constant

Answers

Answer:

The value of the proportionality constant (y to x) is: 3/10

Step-by-step explanation:

We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.

i.e. y = kx

and k = y/x

Given the points

(100, 30)(300, 90)(500, 150)

We know that the proportionality constant (y to x) is:

k = y/x

For the point (100, 30)

k = 30/100=3/10

For the point (300, 90)

k = 90/300=3/10

For the point (500, 150)

k = 150/500=3/10

As the value of proportionality constant (y to x) is the same.

i.e. k = 3/10

Thus, the value of the proportionality constant (y to x) is: 3/10

Use repeated subtraction to find 68 ÷ 5

Answers

Answer:

13 with 3 remaining

or 13.6

Step-by-step explanation:

graph y=4- 3/5x Help me out please​

Answers

Answer: Y = (0,4)

X = 20/3

Step-by-step explanation:

Answer:

the points are at 0,4 and 6.6670 or 6,0

Step-by-step explanation:

Brainlist?

Select all the points that are on the graph of the line 2+4=20

(10, 0)
(1, 4)
(1, 2)
(0, 5)
(0, 10)

Answers

Answer:

A or B, it's either one of the two

I’m just lost on this on

Answers

Answer:

im sorry i cant really see that...

Step-by-step explanation:

The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did Terry initially have?

Answers

Answer:

Terry initially had £390

Step-by-step explanation:

The ratio of the original amount is 3:7

Let the original amount Terry has be t and the original amount Faye has be f

3/7 = t/f

or simply 3f = 7t ••••••(i)

Terry putting 220 means he now has

t + 220

Faye withdrew 300

He now has f-300

These values are equal

t + 220 = f-300

f = t+220+300

f = t + 520 ••••••(ii)

Put ii into i

3(t + 520) = 7t

3t + 1560 = 7t

7t-3t = 1560

4t = 1560

t = 1560/4

t = 390

Lillian has nickels, dimes, and quarters in her coin purse. She has 3 fewer dimes than quarters, and 3 times as many nickels as dimes. If she has a total of 33 coins, which of these is either the number of nickels, the number of dimes, or the number of quarters she has?

Answers

Answer:

18 nickels, 6 dimes, and 9 quarters

Step-by-step explanation:

nickels dimes and quarters

x y and z

x+y+z=33

y+3=z

3y=x

3y+y+y+3=33

5y+3=33

5y=30

y=6

z=9

x=18

Hope this helps plz hit the crown :D

What is the value of V81
[tex] \sqrt{81} [/tex]

Answers

Answer: The value is 9

A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $15 per acre. Seed for crop B costs $30 per acre. The farmer can spend at most $900 on seed. If crop B brings in a profit of $50 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit? acres of crop A acres of crop B

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of acre on which crop A is farmed and B represent the number of acre crop B is farmed.

Therefore:

Since there is a total of 40 acre farm, hence:

x + y = 40        (1)

The farmer can spend at most $900 on seed, crop A seed cost $15 and crop B seed cost $50, hence:

15x + 50y ≤ 900   (2)

Her profit is given as:

Profit = 50x + 110y

From the geogebra plot, the point that maximizes the profit is at (60, 0)

Therefore the maximum profit = 50(60) + 110(0) = $3000

please help I'll give brainliest​

Answers

Answer:

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Step-by-step explanation:

Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Please help asap needed for an overdue homework


Answers

Answer: 7+-2
Than it would be 5

Plz help me answer this

Answers

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

Substitute in y:                              -5x + 2(7x) = 9Multiply:                                         -5x + 14x = 9Combine like terms:                      9x = 9Isolate x:                                         x = 1

Step 3: Solve for y

Define original equation:                    y = 7xSubstitute in x:                                     y = 7(1)Multiply:                                                y = 7

Answer: x = 1 and y = 7

Step-by-step explanation:

first you substitude y for 7x

-5x + 2(7x) = 9

then you distribute

-5x + 14x = 9

then you combine like terms

9x = 9

then you divide both sides by 9

x = 1

then you subsitute the x value in the other equations

y = 7(1)

meaning y = 7

Heather rode her bike at a rate of 15 feet per second. Which graph best represents the relationship between the time in seconds Heather rode her bike, x, and the distance in feet she rode, y?​

Answers

the graph that goes up the most

Answer: D

Step-by-step explanation:

Because it said she rode her bike 15 feet per second and per means 1 so for every second she rode 15 distance(feet)

I Hope This helped :)

Who spent more of their allowed on pizza? 2/5 and 0.25

Answers

Answer:

2/5, because 2/5 is bigger than 0.25.

Step-by-step explanation:

Answer:

2/5 spent more.

Step-by-step explanation:

Well, 2/5 converted to fraction is 0.40 since 2÷5=0.4.

And 0.40 is more than 0.25.

So 2/5 spent more of their allowance.

The average depth of the Artic Ocean is 3.953 x 10^5 feet while the average depth of the Atlantic Ocean is 1.2851 x 10^4 feet. Approximately how many times more deep is the Atlantic Ocean that the Artic Ocean?

Answers

Answer:

Hence the artic depth is approximately 31 times deeper than atlantic

Step-by-step explanation:

Given the following;

Average depth of the Artic Ocean = 3.953 x 10^5 feet

Average depth of the Atlantic Ocean = 1.2851 x 10^4 feet.

Taking the ratio of both depth;

Ratio = Depth of Artic/Depth of Atlantic

Ratio =  3.953 x 10^5/1.2851 x 10^4

Ratio =  3.076 * 10^1

Ratio = 30.76

Depth of artic/depth of atlantic = 30.76

Depth of artic = 30.76 * depth of atlantic

Hence the artic depth is approximately 31 times deeper than atlantic

forgot to put photo but this is a repost HELP EMEBAHNDJFKG

Answers

Answer:

a

Step-by-step explanation:

Melinda rents paddle boats down at the pier. She uses 5.5 feet of nylon rope to tie off each boat. She started with 80 feet of rope. After securing all the boats, she was left with more than 3 feet of rope. How many boats did Melinda tie off?
A.
at most 16
B.
at most 26
C.
less than 14
D.
more than 16

Answers

B. At most 26 is the answer

Answer:

the answer is B lol

Step-by-step explanation:

find a counter example for the following statement all triangles have one 90 degree angle

Answers

This is false because you can have obtuse triangles (25-25-130) and acute (60-60-60)

who was the president before obama

Answers

The president before Obama was George W. Bush

which function below has the greatest rate of change

Answers

Answer:

Step-by-step explanation:

The average rate of h =. By comparing the results, The function which has the greatest rate of change is h (x) So, the correct answer is option C) h (x) dome7w and 7 more users found this answer helpful. heart outlined.

Answer:

There's literally nothing there

Step-by-step explanation:

What does the slope represent in this situation

Answers

Answer:The slope represents ur mom

Step-by-step explanation:

WILL MARK BRAINLIEST

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?
O 1/100
O 1/12
O 11/100
O12/100​

Answers

Answer:

C. 11/100

Step-by-step explanation:

Answer:

C. 11/100 explanation

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