to make the perfect shade of orange cake frosting, Mya needs 8 drops of yellow food coloring for every 12 drops of red food coloring. If she adds 32 drops of yellow food coloring to her frosting, how many drops of red food coloring should she add?

Answers

Answer 1

Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:


Related Questions

find the value of k for which the quadratic equation 2x^-kx+=0 have equal roots​

Answers

Answer:

I'll email it to you

Function g can be thought of as a translated (shifted) version of f(x)=x^2.


PLEASE HELP I NEED THISSS!!!

Answers

Answer:

g(x) = x² - 3

Step-by-step explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).

How do I solve this problem?

Answers

Answer:

x = 12

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x) *6 = (4+23) * 4

(6+x) *6 = 27*4

6(6+x) = 108

Divide each side by 6

6+x =18

Subtract 6 from each side

6+x-6 =18-6

x = 12

The answer will be x=2

Factor the polynomial completely.
(y - 8)^2 - 16

Answers

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

What is the inverse of the function f(x) =1/4x – 12?

Answers

Answer:

f(x) = 4x + 48

Step-by-step explanation:

Replace the positions of x and y and isolate y to find the inverse of a function.

y = 1/4x – 12

x = 1/4y – 12

x + 12 = y/4

4(x + 12) = y

4x + 48 = y

f(x) = 4x + 48

PLEASE HELP ME According to this diagram, what is cos 23°?
67
13
5
90°
12
12
O
A.
B.
13
12
0
D.
13
E.
5
12
OF.
12
13

Answers

Answer:

F. [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

[tex]cos = \frac{adjacent}{hypotenuse}[/tex]

The hypotenuse of a right triangle is the angle that is opposite and not touching the 90 degree angle. In this case, the hypotenuse is 13.

The adjacent side is the side that is touching the angle but not the hypotenuse. That makes the adjacent side in this case 12.

That means that  [tex]cos = \frac{12}{13}[/tex].

I hope this helps!

Answer:it’s f.12/13

Step-by-step explanation:

big brain

URGENT PLEASE HELP ME I SUCK AT GEO

Answers

Answer: 225°

Step-by-step explanation:

Each rotation is 45°

From C to H, there are five rotations

5 * 45 = 225°

Answer:

D: 225 degrees

Step-by-step explanation:

You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.

Can anyone help me solve this problem plz need need help asap!

Answers

Answer:

25

Step-by-step explanation:

(-5)^2+10(-5)(2)+25(2)^2

=25+(-100)+100

=25

Hello! For part B your answer will be (x+5y)^2 hope this helps!

find the value of each trigonometric ratio. Part 1​

Answers

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Marcus saved money from her allowance for some books she wanted to buy. To determine how much money she will save, she used the function rule: y = 6x. Find f (7) A. $13 B. $36 C. $42 D. $49

Answers

Answer:

$42

Step-by-step explanation:

Substitute:

Y = 6x

F = 7

So, Y = 6 * 7 = 42

Answer: 42

Step-by-step explanation:

£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three times as much as Sarah. How much does Caroline get?

Answers

Answer: £225

Step-by-step explanation:

Amount shared = £750

Let Sarah's share = y

Therefore,

Caroline's share = 3y

Bridget's share = 2(3y) = 6y

Mathematically,

y + 3y + 6y = £750

10y = £750

y = £750/10

y = £75

Caroline's share = 3y

Caroline's share = 3 × £75 = £225

Caroline's share is £225

Which equation is equivalent to

(1/3)^x= 27^X+2

Answers

Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

PLEASE HELP ME WITH MY MATHS HOMEWORK BELOW
if you answer it correctly i will rate you 5 stars and brainiest

Answers

Answer:

a) 52%

b) 7

Step-by-step explanation:

Total no of grids = 25

Shaded grids = 13

[tex]a) \\Percent \; of \: Shaded\: grids = \frac{13}{25} \times 100 = 13\times 4 = 52\%\\\\b)\\80\% \: of \: 25 =0.80\times 25 = 20\\No \; of \: squares\: more\: than \: 13 = 20 - 13 = 7[/tex]

PLZ HELP meeeeeeeeeeeeeeeeeeeee

Answers

please see the attached picture

Hope it helps

Good luck on your assignment,

MY KEY BROKE AND ITS NOT UNNY

Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

Answers

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

The Expression3(x-9) equivalent to

Answers

Answer:

3x - 27

Step-by-step explanation:

3(x-9)

Distribute

3x * -3*9

3x - 27

Answer:

Brainliest!

Step-by-step explanation:

it is equivialent to 3x-27

just simplify the equatoin

Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)

Answers

Answer:

d

Step-by-step explanation:

The rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Translation is a way of moving an object from one location to another on the xy- plane

Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)

If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:

L'(1, 8) = (x, y) - L(7, -3)

(X, Y) =  L'(1, 8) +  L(7, -3)

(X, Y) = (1+7, 8+3))

(X, Y) = (-6, 11)

Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)

Learn more here: https://brainly.com/question/1046778

Charlie is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2 gallons of ketchup, which he distributes evenly among 15 bottles. How much ketchup goes in each bottle? Write your answer as a proper fraction or mixed number.

Answers

Answer:

A = 2/15 gallons per bottle

Step-by-step explanation:

Given;

Total volume of ketchup V = 2 gallons

Number of bottles N = 15

The amount of ketchup per bottle A;

A = total volume of ketchup ÷ number of bottles

A = V/N

Substituting the values;

A = 2gallons ÷ 15bottles

A = 2/15 gallons per bottle

Answer:

2/15

Step-by-step explanation:

2 divided by 15 is the same or equal to 2/15

example: 2 divided by 15= 2/15

look at the diagram which angle is adjacent and congruent to angle AOE

Answers

Answer:

Angle EOC.

Step-by-step explanation:

You can observe the figure in the image attached.

Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).

Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.

solve for x
8x+6=10 please help me ASAP

Answers

Answer:

0.5

Step-by-step explanation:

8x+6=10

8x=10-6

8x=4

x=4/8=0.5

Answer
0.5

Step-by-Stet explication
8x=4
x=1/2 or 0.5

Please answer correctly !! Will mark brainliest !!!!!!!!!

Answers

Answer:

6 seconds

Step-by-step explanation:

h(x) = 0 m , when the ball is on the ground.

h(x) = - (x-2)² + 16

0 = - (x-2)² + 16

(x-2)² = 16

√(x-2)² = +/- √16

(x-2) = 4  ,        (x-2) = - 4

x - 2 = 4  ,         x = -2

x = 6

We can use only positive solution.

help me out please!!!!

Answers

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

..solve the following as fast as
you can using the properties
of additition and multiplication
a)365+94+35
b)896+423+104
c)379×25×4
d)89×125×8

Pls answer fast

Answers

Answer:

i hope this will help you

Step-by-step explanation:

a 365+94+35

=494

b 896+423+104

=1423

c 379×25×4

=45480

d 89×125×8

=89000

The vertices of a rectangle are A(-2, 4), B(-2,6), C(3,6), and D(3, 4). Which expression
shows how to find the length of the diagonal?

Answers

Answer:

Third option correct

Step-by-step explanation:

The diagonal is the distance between 2 of the vertices, and to end.

So the option we shall choose will contain 2 of the vertices in a distance between points equation.

Mathematically, the distance between two points is given by;

D = √(x2-x1)^2 + (y2-y1)^2

The correct option is the third option.

This is because it takes into consideration two of the vertices which are points A and point C

Answer: c the third one

Step-by-step explanation:

I need help with how to solve things like this. The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. the distance between the Elm and Symphony Stations is how many miles?

Answers

Answer:

8 miles OR 8.0 miles

If sin 30º = cos(3x), then x=_

Answers

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

To determine the annual yield (rate of return) on an investment, divide the income from the investment for the year by the original amount invested. Look at the example. Then, calculate the annual yield for the other investment

Answers

Savings account: $4 / $200 = 0.02 x 100 = 2%

Bond: $85 / $1000 = 0.085 x 100 = 8.5%

Real Estate: $6,400 / $40,000 = 0.16 x 100 = 16%

What is the inverse of the function f(x) = 4x + 8

Answers

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

why is x^2-8x+20 always positive?

Answers

Answer:

cause it is

Step-by-step explanation:

it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?

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