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OLga [1]
3 years ago
12

10 points!

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

30 feet

Step-by-step explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet

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natima [27]

Answer:

x=5

Step-by-step explanation:

That is your answer .

First you do 4x-3+3=2x+7+3

then,4x=2x+10,then

subtract 2x from both side

4x-2x=2x+10-2x

simplify

2x=10

divide both sides by 2 2x/2=10/2

simplfy and you get x=5

Hope this helps :)

4 0
3 years ago
HURRY!!!!<br> What is the equation of the line shown in this graph?
zalisa [80]

Answer:

x = - 2

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

Where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 3) and (- 2, 2)

Both of these points have an x- coordinate of - 2, thus

x = - 2 ← equation of line

3 0
4 years ago
Which statement is NOT true about the ratio of the leg lengths of increment ΔLRM and increment ΔJSK?
Alona [7]
Given the similar triangles, it can always be noted that similarity can be derived from the proportionality of the leg lengths, however it is not true the the ratio of the proportion of the leg lengths is equal to the slope of the triangles. Thus the false statement is:
A]  <span>The slope of the hypotenuse is represented by the ratio of the leg lengths.</span>
7 0
3 years ago
Add the two expressions.<br><br> −2.4n−3 and −7.8n+2
Sphinxa [80]

Answer:

-10.2n - 1

Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

(-2.4n-3)+(-7.8n+2)\\=-2.4n-3-7.8n+2\\=-2.4n-7.8n-3+2\\=-10.2n-1

Thus, the two given expressions add up to -10.2n - 1

4 0
3 years ago
In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as
baherus [9]

Answer:

Probability that the cost will be less than $500 is 0.95994 .

Step-by-step explanation:

We are given that Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $348 with a standard deviation of $87.

Let X = cost of a hospital emergency room visit for this medical service

So, X ~ N(\mu=348, \sigma^{2} =87^{2})

The standard normal z score distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that the cost will be less than $500 = P(X < $500)

    P(X < 500) = P( \frac{X-\mu}{\sigma} < \frac{500-348}{87} ) = P(Z < 1.75) = 0.95994 {from z table}

Therefore, the probability that the cost will be less than $500 is 0.95994 .

                                               

3 0
3 years ago
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