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bearhunter [10]
3 years ago
13

Mindy is the head cheerleader on her suad. She is making banners to place throughout the school for the first football game of t

he season. She used ⅔ cup of glitter to make 1 cup of glittery paint. Using this same proportion, how many cups of glitter will Mindy use to make 9 cups of glittery paint?
Mathematics
1 answer:
Alborosie3 years ago
7 0

Answer:

6\:\text{cups}

Step-by-step explanation:

Since the proportion is maintained, we can set up the following proportion:

\frac{2/3}{1}=\frac{x}{9}, where x is the amount of glitter, in cups, Mindy will use to make 9 cups of glittery paint.

Cross-multiply to get:

1x=9\cdot \frac{2}{3},\\x=9\cdot \frac{2}{3}=\boxed{6\:\text{cups}}

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Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.
sveticcg [70]

Answer:

(a) x=\frac{5\pi }{3}

(b)  x=\frac{\pi }{8}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi

(a) We have given equation 2sinx+\sqrt{3}=0

sinx=\frac{-\sqrt{3}}{2}

x=sin^{-1}(-0.866)

x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}

(b) tan(2x)=1

2x=tan^{-1}1

2x=\frac{\pi }{4}

x=\frac{\pi }{8}

7 0
4 years ago
Solve and check: 5 - 6 = -3<br> k
xxTIMURxx [149]

5 - 6 =  - 3k \\  - 1 =  - 3k \\  \frac{1}{3}  = k
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
5 - 6 =  - 3k \\ 5 - 6 =  - 3( \frac{1}{3} ) \\  - 1 =  - 1
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
3 0
3 years ago
Can you check if I did this right? (:
ra1l [238]
The graph looks accurate make sure you create a table of values and clearly dot the points at (0,-3) and (2,-3).
7 0
3 years ago
Read 2 more answers
Resuelve el siguiente ejercicio:
exis [7]

Answer:

Cuanto dinero voy a pagar  24 $

Cuanto recibiré de cambio  76 $

Step-by-step explanation:

Mis compras son:

1 lápiz       3,50 $

2 plumas  7,90 $

1Libreta   12,60 $

Lo que quiere decir que compre:

3,50 + 7,90 + 12,60  =  24 $

Si cancelo mis compras con un billete de 100 $ me tienen que dar vuelto por:

100 $  -  24  $  =  76 $

5 0
3 years ago
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The comp
Hitman42 [59]
The answer would be A. 


6 0
3 years ago
Read 2 more answers
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