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puteri [66]
3 years ago
10

Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?

Mathematics
2 answers:
Bezzdna [24]3 years ago
8 0

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

Sum=5+3+4=12

Therefore the number of apples shared by Pru, Piper, Phoebe are \frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x respectively.

It is given that Pru has 24 more apples than Piper, so

\frac{5}{12}x-\frac{3}{12}x=24

\frac{5-3}{12}x=24

\frac{2}{12}x=24

\frac{1}{6}x=24

x=144

Since phoebe have \frac{4}{12}x appels,

\frac{4}{12}x=\frac{4}{12}\times 144=48

Therefore, Phoebe have 48 apples.

yuradex [85]3 years ago
5 0

Answer:

Phoebe has 48 apples

Step-by-step explanation:

Pru's number of apples= 5x

Piper's number of apples= 3x

Phoebe's number of apples= 4x

We know that 5x=3x+24. Solve for x.

5x-3x= 24

2x=24

x=12

12*4= 48

Phoebe has 48 apples

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Leona [35]

Answer:

1 and 4 are correct. 2 and 3 are not.

Step-by-step explanation:

1.

When x = 0 where does the horse start?

y = 1.5*sin(0 + 0.5)*2*pi + 1.5

y = 1.5*sin(0.5*2pi) + 1.5

y = 1.5*sin(pi) + 1.5 But sin pi = 0

y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.

2.

This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.

3.

You can figure this one out by letting x = 0.01 When it does then the value of the function is

y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5

y = 1.5*sin(0.51*2*pi) + 1.5

y = 1.5*sin(3.204424) + 1.5

y = 1.5*(- .0623) + 1.5

y = -0.9418 + 1.5

y = 1.4058 so it is going downward The value is getting smaller.

4.

The horse starts out in the middle of the pole. What  does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)

That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.


6 0
3 years ago
Please help urgent!!
USPshnik [31]

Answer:

Q M \cong R M \Rightarrow definition of midpoint

\overline{P M} \cong \overline{P M} \Rightarrow Reflexive property of congruence

\Delta P Q M \cong \Delta P R M \Rightarrow SSS congruence postulate

\angle Q \cong \angle R \Rightarrow CPCTC theorem

Step-by-step explanation:

Step 1: Since, M is the midpoint of the line segment QR.  

\overline{Q M} \cong \overline{R M} \Rightarrow  definition of midpoint

Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.  

\overline{P M} \cong \overline{P M} \Rightarrow Reflexive property of congruence.

Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.

\Delta P Q M \cong \Delta P R M \Rightarrow  SSS congruence postulate

Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.

\angle Q \cong \angle R \Rightarrow CPCTC theorem.

3 0
3 years ago
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DedPeter [7]

Answer:

45 x104 = 4680

Step-by-step explanation:

5 0
2 years ago
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timurjin [86]

Answer:

-1/20

Step-by-step explanation:

2(3/8) - 4/5

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-2/40

-1/20

6 0
2 years ago
How much would $200 invested at 4% interest compounded continuously be worth after 8 years? round your answer to the nearest cen
Arlecino [84]

Answer:

424--------------------------------------------------------

                                                                                 

7 0
3 years ago
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