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astra-53 [7]
3 years ago
14

7. Marie can make 12 small mango pies for every 10 mangoes. How many pie

Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Answer:

D. <em>Marie can make 60 pies</em>.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. <em>Marie can make 30 pies</em>.

x = \frac{10\,mangoes}{12\,pies}\times 30\,pies

x = 25\,mangoes

25 mangoes are required for producing 30 pies.

B. <em>Marie can make 40 pies</em>.

x = \frac{10\,mangoes}{12\,pies}\times 40\,pies

x = 33.333\,mangoes

34 mangoes are required for producing 40 pies.

C. <em>Marie can make 50 pies</em>.

x = \frac{10\,mangoes}{12\,pies}\times 50\,pies

x = 41.667\,mangoes

42 mangoes are required for producing 50 pies.

D. <em>Marie can make 60 pies</em>.

x= \frac{10\,mangoes}{12\,pies}\times 60\,pies

x = 50\,mangoes

50 mangoes are required for producing 60 pies.

The complete statement is: <em>Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes. </em>

Hence, correct answer is D.

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What is the ratio of the intensities of an earthquake PP wave passing through the Earth and detected at two points 19 kmkm and 4
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Answer:

The ratio of the intensities is roughly 6:1.  

Step-by-step explanation:

The intensity I() of an earthquake wave is given by:

I = \frac{P}{4\pi d^{2}}

<em>where P: is the power ans d: is the distance. </em>

Hence, the ratio of the intensities of an earthquake wave passing through the Earth and detected at two points 19 km and 46 km from the source is:

\frac{I_{1}}{I_{2}} = \frac{P/4\pi d_{1}^{2}}{P/4\pi d_{2}^{2}}

<em>where I₁ = P/4πd₁², d₁=19 km, I₁ = P/4πd₂² and d₂=46 km     </em>

\frac{I_{1}}{I_{2}} = \frac{d_{2}^{2}}{d_{1}^{2}}

\frac{I_{1}}{I_{2}} = \frac{46 km^{2}}{19 km^{2}}

\frac{I_{1}}{I_{2}} = 5.9:1

Therefore, the ratio of the intensities is roughly 6:1.  

 

I hope it helps you!    

3 0
3 years ago
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4 years ago
What does |-71 equal?
erastovalidia [21]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same
Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year  = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ((1+r)^{t} -1 ) / r      .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ((1+r/4)^{t} -1 ) / r/4

27456 = 1225 ((1+r/4)^{20} -1 ) / r/4

((1+r/4)^{20} -1 ) / r/4  = 27456/ 1225

((1+r)^{20} -1 ) / r  = 27456/ (1225 × 4)

((1+r)^{20} -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount  $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0
3 years ago
Read 2 more answers
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