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NARA [144]
3 years ago
15

Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire t

eam scored points.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

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What is the missing constant term in the perfect square that starts with x2 – 12x ?
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Answer:

x^2 -12x+36

Step-by-step explanation:

x^2 – 12x

Take the coefficient of x

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8 0
2 years ago
A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
Tanzania [10]

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

V=\frac{\pi r^2h}{3}

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

r=\frac{12cm}{2}=6cm

We know the volume and the radius of the conical container, then we can find "h":

120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm

The diameter and height doubled are:

d=12cm*2=24cm\\h=10cm*2=20cm

Now the radius is:

r=\frac{24cm}{2}=12cm

And the container capacity is

V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3

Then, to compare the capacities, we can divide this new capacity by the original:

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Therefore,  the container's capacity would be 8 times its original capacity.

6 0
3 years ago
Read 2 more answers
In a company there are 33 male and 42 female staff. Calculate the percentage of male and female staffs
VMariaS [17]

Answer: 44%, 56%

Step-by-step explanation:

Given

A company has 33 males and 42 female staff

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The percentage of female staff is

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7 0
2 years ago
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