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AlexFokin [52]
3 years ago
12

If a puppet requires 3/4 yard of material, how many puppets can be made from 9 yards of material?

Mathematics
2 answers:
Readme [11.4K]3 years ago
7 0

⅕⅓⅛jcjdjfhfjfjfjdjcnfhfjcbcncnfndjdnfjdndi

klasskru [66]3 years ago
5 0
First find out how many times 3/4 yard goes into 9. 3/4 fits into 9 twelve times, so twelve puppets can be made.

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Jean and Sarah are buying tubs of ice cream. 2 scoops of ice cream are twice the price of 1 scoop of ice cream. Jean buys 4 tubs
liberstina [14]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x

Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:

Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x

Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:

Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x

Sarah spends 2.50 € less than Jean. Therefore:

Money spent by Sarah = Money spent by Jean - 2.5

8x = 10x - 2.5

2x = 2.5

x = €1.25

Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.

Money spent by Jean = 10x = 10(1.25) = €12.5

Money spent by Sarah = 8x = 8(1.25) = €10

3 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
I need help or my report card is gonna have a f its coming out tommorow
OverLord2011 [107]

Answer:

F.

A.

Step-by-step explanation:

hope this helps you

8 0
3 years ago
To make a project, you need a rectangular piece of fabric
Sati [7]

Answer:

12 ft²

Step-by-step explanation:

area = length * width

area = 4 ft * 3 ft

area = 12 ft²

7 0
3 years ago
Read 2 more answers
how many pounds of rock will you need to fill an area 25 ft by 35 ft to a depth of 2 in. If the rock weighs 1050 lb cubic yard?
Eduardwww [97]

The volume of the area is Length x width x height:

25 x 35 x 2/12 = 145.83 cubic feet.

1 cubic foot = 0.037 cubic yards:

145.83 x 0.037 = 5.40 cubic yards.

5.4 cubic yards x 1050 lbs/ cubic yard = 5,665.6 pounds.

Note:

Rounding and conversion may change the answer slightly, but I believe I rounded everything as it should be.

6 0
3 years ago
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