Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all

Answer:

I've got no idea; I just forgot the answer, but I did my best.

Step-by-step explanation:

Answer: He will require 10.07 cubic feet of sand for the wheelbarrows.

Step-by-step explanation:

Given that

the ratio of wheelbarrows filled with sand to those filled with concrete is expressed as

The volume of concrete in wheelbarrows is 248 cubic feet.

Then the volume of sand in wheelbarrows can be found as

Therefore, he will require 10.07 cubic feet of sand for the wheelbarrows.

Answer:

Width of the rectangular prism

To determine the volume of the rectangular prism, we utilize the following formula:

v = lwh

Where:

v = volume

l = length

w = width

h = height

Now,

The variables provided in the problem include:

v = 138.24 cubic inches

h =  9.6 inches

l = 3.2 inches

w = ?

By substituting these values into the volume formula, we have:

138.24 = 3.2 * w * 9.6

138.24 = 30.72 * w

w = 138.24/30.72

w = 4.5

⇒ Therefore, the width of the rectangular prism measures 4.5 inches.

Answer: You would need 40 bushels of seed to plant 30 acres of wheat.

Step-by-step explanation:

<pTypically, 1 1/3 bushels of seed are necessary to cultivate 1 acre of wheat. In improper fraction form, 1 1/3 bushels becomes 4/3 bushels.

Let x denote the bushels of seed required for 30 acres. Thus, we have

4/3 bushels = 1 acre

x = 30 acres

Cross multiplying gives us

x × 1 = 4/3 × 30

x = 40 bushels of seed

A) The speed of pedestrian BC is 5 km/h

    The speed of pedestrian CD is 0 km/h

    The speed of pedestrian DE is 5 km/h

B) He reached E since the stop after 6 hours

C) The formula for section BC is d(t) = 40 - 5t

    The formula for section CD is d(t) = 20

    The formula for section DE is d(t) = 50 - 5t

Step-by-step breakdown:

A)

In the time-distance graph, speed represents the change in distance with respect to time

this means speed = Δd/Δt ⇒ (slope of the line)

For line BC:

1. Δd = 40 - 20 = 20 km

2. Δt = 4 - 0 = 4 hours

3. The speed = 20 ÷ 4 = 5 km/h

The speed of pedestrian BC stands at 5 km/h

For line CD:

1. Δd = 20 - 20 = 0 km

2. Δt = 6 - 4 = 2 hours

3. The speed = 0 ÷ 2 = 0 km/h

The speed of pedestrian CD is 0 km/h

For line DE:

1. Δd = 20 - 0 = 20 km

2. Δt = 10 - 6 = 4 hours

3. The speed = 20 ÷ 4 = 5 km/h

The speed for pedestrian DE is 5 km/h

B)

∵ He stopped at t = 4 hours

∵ He reached point E at t = 10 hours

∵ 10 - 4 = 6 hours

He arrived at E since the stop took 6 hours

C)

<pthe line="" equations="" are="" characterized="" by:=""><pthe general="" form="" of="" a="" line="" equation="" is="" f="" mx="" c="" where="" m="" represents=""><pthe slope="" and="" c="" is="" the="" y-intercept="" value="" of="" y="" when="" x="" equals="">

1. f(x) is referenced as d(t)

2. m is the speed

3. x corresponds to t

4. You can calculate c by substituting any coordinates of a point along the line into the formula

<pline bc="">

Line BC has a negative slope because d decreases as t increases

∵ m = -5 and c = 40

Thus, d(t) = 40 - 5t

The equation for section BC is d(t) = 40 - 5t

Line CD

Line CD is a horizontal line (which follows the form of any horizontal line represented as y = c)

Thus, m = 0 and c = 20

Therefore, d(t) = 20

The equation for section CD is d(t) = 20

Line DE

Line DE features a negative slope as d decreases along with an increase in t

∵ m = -5

Thus, d(t) = -5t + c

The value of c can be determined by substituting point D's coordinates into the equation

∵ D's coordinates are (6, 20)

Thus, 20 = -5(6) + c

So, 20 = -30 + c

Adding 30 to both sides yields

∴ c = 50

Thus, d(t) = 50 - 5t

The equation for section DE is d(t) = 50 - 5t

Further Learning:

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