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frozen [14]
3 years ago
5

To decorate a cake, you make a shade of green icing using 3 drops of yellow food coloring for every 4 drops of blue. If you use

12 drops of yellow food coloring, how many drops of blue food coloring would you need?
Mathematics
1 answer:
Anton [14]3 years ago
8 0
You would need 16 because 3 × 4 = 12 and you need to do the same to the blue so you would do the equation 4 × 4 = ? which is 16.

You might be interested in
Divide a^24-a^18+a^12 by a^6<br> what is the quotation?
lana66690 [7]

I think you mean "what is the QUOTIENT?"

\dfrac{a^{24} - a^{18} + a^{12}}{a^6} =

= \dfrac{a^{24}}{a^6} - \dfrac{a^{18}}{a^6} + \dfrac{a^{12}}{a^6}

= a^{24 - 6} - a^{18 - 6} + a^{12 - 6}

= a^{18} - a^{12} + a^{6}

5 0
3 years ago
Which of the following equations correctly represents the law of cosines?​
ss7ja [257]

Answer:

I think it's C

Step-by-step explanation:

just looked online.

TIP:

If you want to remember this law,just solve a bunch of questions that involve it and then it will come naturally to you.

4 0
3 years ago
The value of r? Do not round your answer.
bearhunter [10]

Answer:

r = 31.2

Step-by-step explanation:

Δ ACE and Δ BCD are similar, thus the ratios of corresponding sides are equal, that is

\frac{AE}{BD} = \frac{CE}{CD}, substitute values

\frac{r}{19.5} = \frac{64}{40} ( cross- multiply )

40r = 1248 ( divide both sides by 40 )

r = 31.2

8 0
3 years ago
Given that ABCD is a rhombus, what is the value of x?
Maslowich

Answer:

d

Step-by-step explanation:

We know that diagonals bisect angles of a rhombus, meaning that they split the angles of two equal parts, that opposite angles are equal, and that the angles of a quadrilateral, such as a rhombus, add up to 360 degrees.

Looking at the drawing I uploaded, and taking into account that diagonals bisect angles of a rhombus, we can say that angle x = y and z = 5x-18

Next, given that opposite angles are equal, we can say that angle B = angle D and angle A = angle C. Therefore,

A+B+C+D= 360 (as the angles of a quadrilateral add up to 360)

A + B + A + B = 360 (plugging in A for C and B for D)

2 ( A + B) = 360

A + B = 180

x + y + z + 5x - 18 = 180 (plugging x+y in for A, and z+5x-18 in for B, as x and y make up A and z and 5x-18 make up B)

x+x+5x-18+5x-18 = 180 (because x=y and z=5x-18)

2(x+5x-18) = 180

divide both sides by 2

x+5x-18=90

6x-18=90

add 18 to both sides

6x=108

divide both sides by 6

x = 18

4 0
3 years ago
Solve for x <img src="https://tex.z-dn.net/?f=%20S%3D7%20x%5E%7B2%7D%20" id="TexFormula1" title=" S=7 x^{2} " alt=" S=7 x^{2} "
il63 [147K]
S = 7x^2....divide both sides by 7
1/7s (same as s/7) = x^2...now take sqrt of both sides
(+ - ) sqrt 1/7s = x
3 0
3 years ago
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