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3 years ago

Find the product. (a^3b)^2 • 4ab3

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

6 0

(a^3b)^2 • 4ab^3
a^6b • 4ab^3
4a^6b+1b^3

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the

liberstina [14]

Answer:

188 children and 145 adults were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

Let the number of children admitted be $x.$

And the the number of adults admitted be $y.$

So, the total people enter the park:

$x+y=333\\\\x=333-y\ \ \ ...(1)$

Thus, the total amount collected of the admission fee:

$1.50(x)+4(y)=862\\\\$

Substituting the value of $x$ from equation (1):

$1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.$

Thus, the number of adults = 145.

Now, to get the number of children by substituting the value of $y$ in equation (1) we get:

$x=333-y\\\\x=333-145\\\\x=188.$

Hence, the number of children = 188.

Therefore, 188 children and 145 adults were admitted in the park.

4 0

3 years ago

Name the property or properties illustrated by the statement if x+5=3 and 3=y, then x+5=y

oee [108]

It is substitution. Because you are substituting 3=y into x+5=3

3 0

3 years ago

Jake sold 28 tickets to the the school fair and Jeanie sold 21 tickets. What is the ratio in the simplest for of the number of t

HACTEHA [7]

A. 3/4, you just have to simplify 21/28

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3 years ago

What is the distance between each data point and the regression line called?

ASHA 777 [7]

Using the regression formula with a slope = 2000 and intercept = 15000, what would the predicted income be for someone who has 16 years of education.

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2 years ago

Can anybody do all of number 1??

MAXImum [283]

Answer:

You use the formulas for the shapes

Cylinder= 2×π×r×h+2×π×r² π×r²×h

Cone= $\pi*r(r+\sqrt{ h^{2} +r^{2}} )$ π×r²× $\frac{h}{3}$

Square Prism= 2×a²+4×a×h a²×h

↑a=base edge

Step-by-step explanation:

Surface Area Volume

Cylinderical Head ≈282.74 ≈314.16

Conical Hat ≈170.13 ≈78.54

Right Cylinder Torso ≈471.24 ≈785.4

Right Cylinder Arm ≈56.55 ≈25.13

Square Prism Leg =224 =192

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3 years ago