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2 years ago

The graphic compares two basketball shoes.

Mathematics

1 answer:

rewona [7]2 years ago

8 0

<span>2 the Air Slammers because they are the best price.
According to the information given to receive the best deal, he would choose the Air Slammers because the price is the cheapest, and even if the hyper dunks would last 2 seasons if the air slammers lasted 1 season each the total would be less than the Hyper Dunks.
</span>

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Evaluate: 3y + 1 = 13 + 4y<br> **What do you move first?!**

yan [13]

Answer: isolate the variable

Step-by-step explanation:

5 0

2 years ago

The volume of a hemisphere is 144 pi. Find the radius and total surface area.

sineoko [7]

Formula of the Volume of a hemisphere:
V = $\frac{2}{3}$ $\pi$ r³
144 $\pi$ = $\frac{2}{3}$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$\frac{432 \pi }{2 \pi }$ = $\frac{2 \pi }{2 \pi }$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

8 0

3 years ago

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line

Darina [25.2K]

A: because "reflection across the y axis then across the x axis is the only option that does not work"

3 0

2 years ago

Evaluate the expression using the values in the left column to complete the table

egoroff_w [7]

Answer/Step-by-step explanation:

A. $4b + 3b$

Using b = 2

$4(2) + 3(2) = 8 + 6 = 14$

Using b = 4

$4(4) + 3(4) = 16 + 12 = 28$

Using b = 6

$4(6) + 3(6) = 24 + 18 = 42$

Using b = 8

$4(8) + 3(8) = 32 + 24 = 56$

Using b = 10

$4(10) + 3(10) = 40 + 30 = 70$

Using b = 2

$4(12) + 3(12) = 48 + 36 = 84$

B. $3(x - 2)$

Using x = 3

$3(3 - 2) = 3(1) = 3$

Using x = 5

$3(5 - 2) = 3(3) = 9$

Using x = 7

$3(7 - 2) = 3(5) = 15$

Using x = 9

$3(9 - 2) = 3(7) = 21$

Using x = 11

$3(11 - 2) = 3(9) = 27$

Using x = 13

$3(13 - 2) = 3(11) = 33$

C. $5(4a - 1)$

Using a = 2

$5(4(2) - 1) = 5(8 - 1) = 5(7) = 35$

Using a = 3

$5(4(3) - 1) = 5(12 - 1) = 5(11) = 55$

Using a = 4

$5(4(4) - 1) = 5(16 - 1) = 5(15) = 75$

Using a = 5

$5(4(5) - 1) = 5(20 - 1) = 5(19) = 95$

Using a = 6

$5(4(6) - 1) = 5(24 - 1) = 5(23) = 115$

Using a = 7

$5(4(7) - 1) = 5(28 - 1) = 5(27) = 135$

D. $6y - 2y + 4$

Using y = 2

$6(2) - 2(2) + 4 = 12 - 4 + 4 = 12$

Using y = 3

$6(3) - 2(3) + 4 = 18 - 6 + 4 = 18 - 2 = 16$

Using y = 5

$6(5) - 2(5) + 4 = 30 - 10 + 4 = 30 - 6 = 24$

Using y = 10

$6(10) - 2(10) + 4 = 60 - 20 + 4 = 60 - 16 = 44$

Using y = 8

$6(8) - 2(8) + 4 = 48 - 16 + 4 = 48 - 12 = 36$

Using y = 6

$6(6) - 2(6) + 4 = 36 - 12 + 4 = 36 - 8 = 28$

7 0

2 years ago

The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car, it takes 2.25 hours

serious [3.7K]

Answer:

5 hours

Step-by-step explanation:

given :

Distance between the cities = 540 miles

Speed of motorcycle =48 mph

TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :

$\frac{DISTANCE}{SPEED}$

By putting given values in the formula we get :

$\frac{540}{48}$

= 11.25 hours

Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle

⇒ 11.25 hours - 2.25 hours

⇒ 9 hours

Thus , Time taken by car to cover the same distance is 9 hours .

Now to calculate speed of car by using formula:

$\frac{distance}{time}$

$\frac{540}{9}$

= 60 mph

Let t be the time taken to meet if they start moving towards each other.

So distance covered by motorcycle in t hours is

speed\times time

= 48t miles

Distance covered by car in t hours is

speed\times time

= 60t miles

⇒ 60t + 48t =540

⇒ 108t = 540

⇒ t= 5 hours

Therefore, time taken to meet if they start moving towards each other is 5 hours.

7 0

3 years ago