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2 years ago

Which numbers are between 4 over 6 and 7 over 5

Mathematics

1 answer:

jeyben [28]2 years ago

6 0

Answer:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Step-by-step explanation:

Numbers between 4/6 and 7/5 are:

Making the same demoninator, which is 30 (LCM)

Therefore, now the new numbers are 20/30 and 42/30.

Now,

the numbers between are 20/30 and 42/30:

21/30, 22/30, 23/30..........39/30, 40/30, 41/30

Hope it helps!

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Thanks!!!

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5 - 3x > -19 Can someone please help me

oksano4ka [1.4K]

Answer:

- 3x > -19 -5

- 3x > -24

3x < 24

x < 8

8 0

2 years ago

A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win

sveta [45]

Answer:

The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25% of their capacity, how much energy, in kilowatt-hours, can the region's wind farms generate in one year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year

Part B

Given that the average household in the region uses about 10,000 kilowatt-hours of energy each year, how many households can be powered by these wind farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

Amount of households = 4,818'000,000/10,000 = 481,800

8 0

3 years ago

What is 10 1 over 4 in decimal form?

otez555 [7]

Answer: 10.0

Step-by-step explanation: 10/1=10=10.0

3 0

3 years ago

$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the

Marianna [84]

Answer:

Equation: $F=1500(1.0025)^{12t}$

The balance after 5 years is: $1742.43

Step-by-step explanation:

This is a compound growth problem . THe formula is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

$F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}$

Now, we want balance after 5 years, so t = 5, substituting, we get:

$F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43$

The balance after 5 years is: $1742.43

3 0

3 years ago

What is the cube root of 216x18?

Vikentia [17]

Answer:

The correct answer is 15.72 or 6 ∛18

Step-by-step explanation:

Let's calculate the cube root of 216 * 18

∛(216 * 18)

216 = 8 * 27

8 = 2³; 27 = 3³

18 = 9 * 2 or 3² * 2

∛(8 * 27 * 18)

Simplifying:

∛(2³ * 3³ * 3² * 2)

2 * 3 ∛(3² * 2

6 * 2.62 = 15.72 or 6 ∛18

8 0

3 years ago