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3 years ago

The price of a 3-pack of Spinners is one third the price

Mathematics

1 answer:

Mumz [18]3 years ago

6 0

Answer:

Step-by-step explanation:

Let the price of 3-pack of Spinners be s and a dozen of Fly-Boys be f.

<u>Given:</u>

s = 1/3f
s = $3

<u>Solve the equation for f:</u>

s = 1/3f
f = 3s
f = 3*$3 = $9

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What is the slope intercept form of the equation of the line?

beks73 [17]

Answer:

The slope-intercept form of the equation of the line is:

y = 2/3x + 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(0, 2)

(3, 4)

(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [4 - 2] / [3 - 0]

= 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 2/3 and b = 2 in the slope-intercept form

y = mx+b

y = 2/3x + 2

Therefore, the slope-intercept form of the equation of the line is:

y = 2/3x + 2

5 0

3 years ago

The ratio of the diameters is 15:11. If the diameter of the smaller ball is 55cm, what is the volume of the larger ball? Round t

gizmo_the_mogwai [7]

Answer:

220,781.25 cubic cm

Step-by-step explanation:

Given ratio of the diameters = 15:11

Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11

Given that smaller one has diameter of 55cm

thus 11x = 55cm

x = 55/11 cm = 5

Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.

we know that radius is half of diameter

Radius = diameter/2

Thus radius of larger ball = 75/2 cm = 37.5 cm.

Volume of sphere is given by $(4/3)\pi r^3$

we know that ball has spherical shape

thus volume of larger ball is calculated as given below

$volume \ of \ ball = (4/3)\pi r^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = 220,781.25$

Thus, volume of larger ball is 220,781.25 cubic cm

5 0

3 years ago

The weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of

MArishka [77]

Answer:

218.7 lb.

Step-by-step explanation:

We have been given that the weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of 28 lb.

One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$ , where,

$z=\text{ z-score}$ ,

$x=\text{ Random sample-score}$ ,

$\mu=\text{ Mean}$ ,

$\sigma=\text{ Standard deviation}$ .

Upon substituting our given values in z-score formula we will get,

$2=\frac{x-162.7}{28}$

Now let us solve for x.

Upon multiplying both sides of our equation by 28 we will get,

$2*28=\frac{x-162.7}{28}*28$

$56=x-162.7$

Let us add 162.7 to both sides of our equation.

$56+162.7=x-162.7+162.7$

$218.7=x$

Therefore, the obesity threshold weight for a young adult American male is 218.7 pounds.

6 0

3 years ago

Read 2 more answers

Jason build a rectangular tool shed that is 8 m wide and has an area of 96 m² what is the length of Jasons toolshed

SpyIntel [72]

Answer:

12m long

Step-by-step explanation:

96 divided by 8 will leave you with 12

12 times 8 will give you 96

3 0

3 years ago

Read 2 more answers

Mauricio hits a baseball 4 times as often as Tony each game.He also hits 20 baseballs every Monday at practice.How many baseball

tiny-mole [99]

Tony = x
Mauricio = 4x

If Tony hits at the game, then Mauricio will hit 4 times as many times + the 20 at practice, so

4x + 20

That means if Tony hit 1, Mauricio will hit

4(1) + 20 = 24

If Tony hits 2, Mauricio will hit

4(2) +20 = 28

Your answer should be the expression

4x + 20

7 0

3 years ago

Read 2 more answers