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?

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

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

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

Answer:

c

Step-by-step explanation:

its c on edge

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

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

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.

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] ($)

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:

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:

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

Step 3: Solve for y

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

Answer:

a

Step-by-step explanation:

Answer:

469

Step-by-step explanation:

I hope this helps!

the difference is 469

Answer:

the answer is B lol

Step-by-step explanation:

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 :)

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?

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:

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

Answer:

13 with 3 remaining

or 13.6

Step-by-step explanation:

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

Answer:The slope represents ur mom

Step-by-step explanation:

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]

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

Answer:

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

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

Answer:

C. 11/100

Step-by-step explanation:

Answer:

C. 11/100 explanation

Answer:

im sorry i cant really see that...

Step-by-step explanation: