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RoseWind [281]
4 years ago
14

Levi's mom gave him $30 so he can go to the movies.He used 1/5 of the money to pay for his movie ticket.He spent 1/3 of what he

had left on popcorn and candy.How much did he have left after buying the movie tickets and snacks?

Mathematics
1 answer:
kolbaska11 [484]4 years ago
5 0
If Levi has $30, and he spends 1/5 of it on his movie ticket, we can figure out how much 1/5 is by dividing 30 by 5.

30 divided by 5 = 6

Now Levi has $6. He than spends 1/3 of that on popcorn. We can divide 6 by 3.

6 divided by 3 = 2

Levi is left with $2.
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The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.
Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760

b) How many of these delegations have all men?

n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4  \\n_{men} = 60480

c) How many of these delegations have at least one woman?

n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280

4 0
4 years ago
What is the answer for the second one?<br> 7% is the same as ??
ipn [44]

Answer:

0.07

Step-by-step explanation:

Just put the value of the percent

40, 90, or 7 over 100

40/100, 90/100, 7/100

This yields

0.4, 0.9, 0.07

8 0
3 years ago
Two trapeziums are similar, thee area of one of the trapezium is 4times that of the other. Determine the ratio of the perimeter
Stolb23 [73]

Answer:

The ratio of the perimeters of the two trapezium is 2

The ratio of the corresponding sides of the two trapezium is 2

Step-by-step explanation:

The given parameters in the question are;

Two trapeziums are similar

The area of one trapezium = 4 × The area of the other trapezium

Let, A₁, and A₂ represent the area of the two trapeziums, we have

A₁ = 4 × A₂

∴ A₁/A₂ = 4

Given that ratio of areas = (Ratio of sides)²

Ratio of sides = Ratio of perimeter

∴ Ratio of areas = (Ratio of perimeter)²

Therefore, given that the ratio of the areas of the two trapeziums A₁/A₂ = 4, we have;

Ratio of areas = 4 = (Ratio of sides)²

The ratio of the corresponding sides = √4 = 2

The ratio of the corresponding sides = 2

Ratio of areas = 4 = (Ratio of perimeter)²

The ratio of the perimeter = √4 = 2

The ratio of the perimeter = 2

3 0
3 years ago
The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

y = 2-x \,\,\,\,\,,  1 \leq x \leq 2.

If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

{\displaystyle A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472 }

And the sum would be 1.5708+1.0472 = 2.618

7 0
4 years ago
The mass of a block of stone is 2,000 kg. If the block has a volume of 0.5m
rodikova [14]
Density = Mass / Volume = 2000/0.5
Density = 4000 Kg/m^3 
4 0
3 years ago
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