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3 years ago

What the sum for (50+11)*(8p-4)

Mathematics

1 answer:

EleoNora [17]3 years ago

8 0

Answer:

488p-244

Step-by-step explanation:

=> (50+11)*(8p-4)

=> 61(8p-4)

Expanding by distributive property.

=> 488p-244

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I need help and can you explain how you got the answer because I don’t understand how to do this..

Bond [772]

Answer:

9 cm

Step-by-step explanation:

The formula to calculate the area of a triangle is: A = bXh square units.

Therefore simply divide the area given 54 cm over base 6 cm to get the height. 54÷ 6 = 9

Hope this suffices.

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3 years ago

a recent survey found that 40% of high school students exercise regularly. If you choose 5 students at random, what is the proba

enyata [817]

Answer:

0.05

Step-by-step explanation:

We can correctly state that the total sample space= 100 students

40% of 100 students exercise regularly

The probability that 5 students

Picked at random exercise regularly is

Pr(5) = 5/100= 1/20

Pr(5)= 0.05

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3 years ago

Carlos is filling a spherical balloon with water. if he increases the volume of the balloon from 4,188.79 cubic centimeters to 1

Harrizon [31]

We know that the volume of a sphere of radius r is given by

$V=\frac{4}{3}\pi r^3$

Now, we have been given the initial volume was 4,188.79 cubic centimeters. Let us find the radius at this time.

Substituting the value of volume in the above equation, we get

$4,188.79=\frac{4}{3}\pi r^3\\
\\
4\pi r^3=4,188.79 \times 3\\
\\
r^3=\frac{4188.79 \times 3}{4\pi}\\
\\
r^3=1000\\
\\
r=10$

Now, the final volume is given by 14,137.167 cubic centimeters. Thus, we have

$14137.167 =\frac{4}{3}\pi r^3\\
\\
4\pi r^3=14137.167 \times 3\\
\\
r^3=\frac{14137.167\times 3}{4\pi}\\
\\
r^3=3375\\
\\
r=15$

Now, let us find the surface areas for these two radii.

For $r=10$

Surface area is given by

$S=4\pi r^2\\
\\
S=4\times 3.14 \times (10)^2\\
\\
S=1256 \text{ square centimeters}$

Similarly, for

$r=15\\
\\
S=4\times 3.14\times (15)^2\\
\\
S=2826 \text{ square centimeters}$

Therefore, the increase in the surface area is given by

$\Delta S= 2826-1256= 1570 \text{ square centimeters}$

Hence, the average rate at which the surface area is changing is given by

$\frac{1570}{12}=130.8$

Therefore, the average rate at which the surface area is changing is given by 130.8 square centimeters per second.

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3 years ago

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Debora [2.8K]

Answer:

The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–4, 2).

Step-by-step explanation:

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vagabundo [1.1K]

Answer:

Step-by-step explanation:

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