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Zina [86]
3 years ago
15

What number increased by 3 is equal to three less than twice the number. In math form?

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

The answer is 6.

Step-by-step explanation:

Let x represent the number.

x + 3 = 2x -3

3 + 3 = 2x - x

6 = x

I hope this was helpful to you! If it was, please consider rating, pressing thanks, or labelling my answer brainliest! Have a fantastic day.

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A truck has total of a pounds of fruit in each of n boxes. How many pounds of fruit are on the truck?
Mekhanik [1.2K]
The answer is a times n
3 0
3 years ago
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The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall.
Mekhanik [1.2K]
<h3>4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8​-foot walls</h3>

<em><u>Solution:</u></em>

Given that,

The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall

<em><u>The formula for joint variation is: </u></em>

z = k \times x \times y

Where,

z is the amount of paint needed

x is the perimter of room

y is the height of room

<em><u>Room with a perimeter of 35 feet and 10 foot high walls requires 3.5 quarts of​ paint</u></em>

Therefore,

3.5 = k \times 35 \times 10\\\\ k = \frac{3.5}{350}\\\\k = 0.01

<em><u>find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 8​-foot walls</u></em>

Substitute k = 0.01, x = 55 and y = 8 in joint variation formula

z = 0.01 \times 55 \times 8\\\\z = 4.4

Thus, 4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8​-foot walls

7 0
3 years ago
3(4x + 5) = 12 Which of the following correctly shows the beginning steps to solve this equation? (4 points) Group of answer cho
Marysya12 [62]

Answer:

1 is correct

Step-by-step explanation:

3(4x + 5) = 12

12x + 15 = 12

12x = -3

4 0
3 years ago
Rhonda's backyard has a rectangular patio that is 12.5 feet long,
Bas_tet [7]

Answer:

34992.66

Step-by-step explanation:

nice to know!

5 0
3 years ago
A sample from a population with μ = 40 and σ = 8 has a mean of M = 36. If the sample mean corresponds to a z = –1.00, then how m
juin [17]

Answer:

There are 4 scores in the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}

We want to find n. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}

-4\sqrt{n} = -8

4\sqrt{n} = 8

Simplifying by 4

\sqrt{n} = 2

(\sqrt{n})^2 = 2^2

n = 4

There are 4 scores in the sample.

7 0
3 years ago
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