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alina1380 [7]
3 years ago
9

Each circle below represents 1 cup of granola. Cody has 8 equal shares of granola. The shaded part of the fraction model represe

nts the total number of cups of granola Cody has. CUPS OF GRANOLA What is the total number of cups of granola Cody has?
Explain how you know, and include an equation that correctly represents the shaded part of the fraction model.
Type your answer in the box below.​

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

Step-by-step explanation:

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Sally is making bouquets of flowers with the ratio of red to white flowers being 2:3. If Sally used 12 red flowers, how many whi
alexandr402 [8]

Answer:

18 white flowers

Step-by-step explanation:

We are given ratio:

Red : White

2 : 3

If Sally used 12 red flowers, how many white flowers will she use?

Let the number of white flowers Sally uses be represented by x

This is calculated as:

2/3 = 12/x

Cross Multiply

2 × x = 3 × 12

x = 3 × 12/2

x = 18 white flowers

Therefore, if Sally used 12 red flowers, the number of white flowers will she use is 18 white flowers.

8 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below
Novay_Z [31]

Answer:

please provide the diagram

3 0
2 years ago
Read 2 more answers
Someone solve this please.
Archy [21]

Answer:

16x+2

Step-by-step explanation:

Perimeter- Length+width x2

(6x+4+2x-3)2

(8x+1)2

16x+2

6 0
2 years ago
HELP PLEASE!!! I need help with this question!
AlexFokin [52]

Answer:

\large\boxed{PS=10\sqrt5}

Step-by-step explanation:

ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

\dfrac{QR}{RP}=\dfrac{RP}{RS}

We have:

QR=5,\ RS=20

Substitute:

\dfrac{5}{RP}=\dfrc{RP}{20}                <em>cross multiply</em>

RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10

Use the Pythagorean theorem:

PS^2=PR^2+RS^2

Substitute:

PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5

6 0
3 years ago
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di
lawyer [7]

Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

4 0
3 years ago
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