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Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below. Whi

rodikova [14]

This question is incomplete

Complete Question

Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below.

Which ratio is incorrectly written?

40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr

Answer:

5280ft/1 mile is the incorrect ratio

Hence, 40-yard dash in 4.5 seconds = 18.2 miles per hour(mile/hr)

Step-by-step explanation:

We are to convert 40 yards per 45 seconds to Mile per hour.

We are given the following conversion ratios:

40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr

The incorrect ratio is 5280ft/1 mile .

It should have been written as 1 mile/5280 ft.

Hence,

40 yd/4.5 sec • 3 ft/1 yd • 1 mile/5280ft• 60 sec/1 min • 60 min/1 hr

= 432000mile/23700 hr

= 18.181818182 mile/hr

Approximately= 18.2mile/hr

5 0

3 years ago

Greg have 24 more stickers than Wayne and Ronald have twice as much stickers than Wayne together they have 124 stick how much ea

lukranit [14]

G=24+w
r=2w
g+w+r=124
Substitute the values to get 24+w+w+2w=124
Simplifies to 4w=100. Therefore, Wayne has 25. Greg has 24 more than Wayne, so he has 49. Ronald would have 50.

4 0

3 years ago

Find the product of x^2+2x-4 and 3x.

vladimir1956 [14]

$3x({x}^{2} + 2x - 4)$

$3x \times {x}^{2} = {3x}^{3}$

$3x \times 2x = 6 {x}^{2}$

$3x \times - 4 = - 12x$

$b. \: 3 {x}^{3} + 6 {x}^{2} - 12x$

7 0

3 years ago

What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig

Pavlova-9 [17]

The answers are: 4.5 g and 56.25 g respectively.

Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g

For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g

5 0

3 years ago

The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of

Irina18 [472]

Answer:

The volume of the composite figure is 84π ≅ 263.89 inches³

Step-by-step explanation

- The composite figure consists of :

# Half sphere with radius 3 inches

# Cylinder with radius 3 inches and height 6 inches

# Cone with radius 3 inches and height 4 inches

- The volume of the sphere is 4/3 π r³

∴ The volume of the half sphere = 1/2 × 4/3 π r³ = 2/3 π r³

- The volume of the cylinder is π r² h

- The volume of the cone is 1/3 π r² h

* Now lets solve the problem

- The volume of the half sphere

∵ The radius of the half sphere = 3 inches

∵ The volume of it = 2/3 π r³

∴ The volume = 2/3 × π × (3)³ = 18π inches³

- The volume of the cylinder

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ The volume of it = π r² h

∴ Its volume = π × (3)² × 6 = 54π inches³

- The volume of the cone

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ The volume of it = 1/3 π r² h

∴ Its volume = 1/3 π × (3)² × 4 = 12π inches³

- Add all the volumes to find the volume of the composite figure

∴ The volume = 18π + 54π + 12π = 84π = 263.89 inches³

* The volume of the composite figure is 84π ≅ 263.89 inches³

6 0

3 years ago