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sweet-ann [11.9K]
3 years ago
7

A candy company puts 9 gumdrops in each bag. How many gumdrops will the company need to fill 21 bags?

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Answer:

189 gumdrops

Step-by-step explanation:

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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?
topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

h=6,k=-7,a=4,b=2

Since a>b, therefore the vertices of the ellipse are

(h+a, k)=(6+4,-7)\Rightarrow (10,-7)

(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0
3 years ago
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5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest play classical s
motikmotik

The first thing we must do for this case is find the number of total guitarists.

We have then:

(\frac{5}{8}) * (64) = 40

We now look for the relationship between the number of guitarists playing jazz alone to the total number of guitarists.

We have then:

\frac{x}{40} = \frac{1}{4}

Where,

x: number of guitarists playing jazz alone

From here, we clear the value of x.

x = (\frac{1}{4}) * (40)\\x = 10

Then, the number of guitarists who play classical solo is:

40 - 10 = 30

Answer:

30 guitarists play classical solos in the contest

5 0
3 years ago
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Did we invent math or did we discover it? I need help asap plz. Don't answer if you don't know plz
Wewaii [24]

Answer:

The only reason mathematics is admirably suited describing the physical world is that we invented it to do just that. It is a product of the human mind and we make mathematics up as we go along to suit our purposes. ... Mathematics is not discovered, it is invented.

Step-by-step explanation:

5 0
2 years ago
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Toby the Tiger makes $25 an hour selling cereal. Write an equation to
gavmur [86]

Answer:

I think it is y=25x

Step-by-step explanation:

Since Tony the Tiger makes $25 an hour, in 2 hours, he would make $50. Both of them, when divided, equal 25, the constant of proportionality.

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3 years ago
Stan is making a trail mix that has a combination of peanuts and raisins. The mix is three parts peanuts and one part raisins.Ho
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4 cups. 3+1=4 raisins are 1/4 and 1/4 of 16 is 4
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