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HACTEHA [7]
3 years ago
11

Idk what to do.And this is due tomorrow

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

<u>Question 1:</u>

5 pints per hour

<u>Question 2:</u>

480 tons per day

<u>Question 3:</u>

12 miles per gallon of gasoline

<u />

Step-by-step explanation:

<u>Question 1:</u>

<h2><em>In the morning;</em></h2>

A farm worker packed 3 pints of grapes every 4 minutes.

1 minute = \frac{1}{60} hours

Packing rate in pints per hour = 3 pints ÷ \frac{4}{60} hours = 45 pints per hour

<h2><em>In the afternoon;</em></h2>

She packed 2 pints of grapes every 3 minutes.

Packing rate in pints per hour = 2 pints ÷ \frac{3}{60} hours = 40 pints per hour.

The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour

<u>Question 2:</u>

A recycling plant processes an average of \frac{1}{3} tons of glass each minute.

1 hour = 60 minutes

The number of tons of glass processed in 1 hour is:

\frac{1}{3} × 60 = 20 tons of glass in 1 hour.

1 day = 24 hours

Number of tons of glass processed in a day = 20 tons × 24 = 480 tons

<u>Question 3:</u>

A vehicle uses 1\frac{1}{8} gallons of gasoline to travel 13\frac{1}{2} miles.

Per 1 gallon of gasoline the vehicle will travel:

1 × 13\frac{1}{2} ÷ 1\frac{1}{8} = 12 miles

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What the factors of 40 with a sum of -22? *
Andru [333]

Answer:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

Step-by-step explanation:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

3 0
3 years ago
Read 2 more answers
Find the f^-1(x) and it’s domain
borishaifa [10]

Answer:

f^{-1}(x) = (x + 8)^2

x \ge -8

Step-by-step explanation:

Given

f(x) = \sqrt x - 8

Solving (a): f^{-1}(x)

We have:

f(x) = \sqrt x - 8

Express f(x) as y

y = \sqrt x - 8

Swap x and y

x = \sqrt y - 8

Add 8 to both\ sides

x + 8 = \sqrt y - 8 + 8

x + 8 = \sqrt y

Square both sides

(x + 8)^2 = y

Rewrite as:

y = (x + 8)^2

Express y as: f^{-1}(x)

f^{-1}(x) = (x + 8)^2

To determine the domain, we have:

The original function is f(x) = \sqrt x - 8

The range of this is: f(x) \ge -8

The domain of the inverse function is the range of the original function.

<em>Hence, the domain is:</em>

x \ge -8

3 0
3 years ago
John invests $3,000 into an account that earns 4.7% interest compounded quarterly. Write an equation and us it to find the value
kow [346]

Answer:

The equation is;

A = 9,000(1 + 0.047/4)^48

The value is

$15,767.28

Step-by-step explanation:

Here we want to find the value of an investment after 12 years, given its interest rate;

Mathematically the amount which is the value would be;

A = I( 1 + r/n)^nt

Where A is the amount in 12 years

I is the initial amount invested = $3,000

r is the interest rate = 4.7% = 4.7/100 = 0.047

n is the number of times interest is compounded yearly = 4 since it is quarterly ( once every three months)

t is the number of years = 12

Substituting these values, we have

A = 9,000(1 + 0.047/4)^(12^4)

A = 9,000(1 + 0.047/4)^48

The above is the expression

A = 9,000(1 + 0.01175)^48

A = 9,000(1.01175)^48

A = $15,767.28

8 0
3 years ago
I need help on this question plz
Gnom [1K]

That's unbiased.

That's unbiased.

5 0
3 years ago
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Brainliest). The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The s
CaHeK987 [17]

Answer:

I THINK THE SLANT IS 14M (sorry if i'm wrong)

Step-by-step explanation:

5 0
3 years ago
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