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1 year ago

I need to be in a session to post the picture of the problem

Mathematics

1 answer:

Tpy6a [65]1 year ago

5 0

Answer:

The value of x that makes the equation true is 3

$x=3$

Explanation:

From the attached image;

Let us write the mathematical equation of the model.

The long bar means x, while the small squares have a value of 1 each.

$2x+5=11$

solving the equation we have;

$\begin{gathered} 2x+5=11 \\ 2x=11-5 \\ 2x=6 \\ \text{divide both sides by 2;} \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}$

Therefore, the value of x that makes the equation true is 3

$x=3$

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In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that $P(0) = 55$

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that $r = 0.021$

$P(t) = P(0)(1 + r)^{t}$

$P(t) = 55(1 + 0.021)^{t}$

$P(t) = 55(1.021)^{t}$

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

$P(t) = 55(1.021)^{t}$

$P(6) = 55(1.021)^{6}$

$P(6) = 62.3$

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

3 0

3 years ago

Mike is mixing paint for his walls. He mixes 1/6 gallon blue paint and 5/8 gallon green paint in a large container. What fractio

Reptile [31]

1/6 + 5/8 =
8/48 + 30/48 = 38/48 reduces to 19/24 <==== total gallons of paint

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3 years ago

Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio

Scorpion4ik [409]

Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

Step-by-step explanation:

The probability, in this case, has to be calculated using the sum rule because the events are independent.

P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.

Facts:

P(men) = 60% = 99/165

P(non-fiction) = 40% = 66/165

P(men non-fiction) = 40/165

P = P(men) + P(non-fiction) – P(men non-fiction)

P = 99/165 + 66/165 – 40/165

P = 125/165

P = 0.758 or 75.8%

3 0

3 years ago

Lucy is on her way home in her car. She has driven 30 miles so far, which is one-third of the way home. What is the total length

KonstantinChe [14]

It’s 90 miles. 30 x (3/1)<— the reciprocal of 1/3

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3 years ago

A gardener owns an old, petrol-driven mower. It has a fuel tank with a capacity of half a gallon. How many centilitres is this?

JulijaS [17]

If 1 gallon = 4.5 liters, then 1/2 a gallon will equal half of 4.5 liters....which = 2.25 liters

1 liter = 100 centiliters.....so 2.25 liters = (2.25 * 100) = 225 centiliters <=

5 0

3 years ago