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3 years ago

Victoria buys 30 ounces of gummy bears and 47 ounces of skittles. What is the ratio of skittles to gummy bears?

1 answer:

8 0

Hi there! :D The answer to your question is 47/30. The way I got it is because ratio means fractions or part of so it says skittles first so skittles go first and gummy bears go on the bottom so it is 47/30. Yummy! ;)

Hope I helped! =D

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Tx+12y=-3

Lisa [10]

In form
ax+by=c
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a=T
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slopt=-10
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$800 is invested at a rate of 7%. What will be the total amount of the investment after 3 1/2 years?

torisob [31]

Answer:

A = $996.00

Step-by-step explanation:

(I = A - P = $196.00)

Equation:

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 800(1 + (0.07 × 3.5)) = 996

A = $996.00

The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.

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3 years ago

What is the ratio of the area of sector ABC to the area of sector DBE?

shusha [124]

We have to find the" ratio of the area of sector ABC to the area of sector DBE".

Now,

the general formula for the area of sector is

Area of sector= 1/2 r²θ

where r is the radius and θ is the central angle in radian.

180°= π rad

1° = π/180 rad

For sector ABC, area= 1/2 (2r)²(β°)

= 1/2 *4r²*(π/180 β)

= 2r²(π/180 β)

For sector DBE, area= 1/2 (r)²(3β°)

= 1/2 *r²*3(π/180 β)

= 3/2 r²(π/180 β)

Now ratio,

Area of sector ABC/Area of sector DBE = $\frac{2r^{2}*\ \frac{\pi}{180} beta}{3/2 r^{2}*\ \frac{\pi}{180}beta}$

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