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3 years ago

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)? 3 4 5 9

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

1.5(x+4)-3=4.5(x-2)

First, distribute 1.5 into x and 4, and 4.5 into x and -2, to get rid of the parentheses. Everything that we do to solve this equation is to isolate x to solve for its value.

1.5x+6-3=4.5x-9

Combine like terms on both sides (6-3).

1.5x+3=4.5x-9

Subtract 1.5x from both sides.

3=3x-9

Add 9 to both sides.

12=3x

Divide both sides by 3.

4=x

The answer is 4.

I hope this helps :)

Rashid [163]3 years ago

6 0

Answer:

Step-by-step explanation:

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mrs_skeptik [129]

Y= 1x+ 3
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4 years ago

For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm

Paraphin [41]

The ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

<h3>Ratio of the areas of similar figures </h3>

From the question, we are to determine the ratio of the area of the<u> first figure</u> to the area of the <u>second figure</u>

<u />

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of <u>two similar polygons</u> is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

$(\frac{14 \ mm}{7 \ mm})^{2}$

$= \frac{196 \ mm^{2} }{49\ mm^{2} }$

$=\frac{4}{1}$

= 4:1

Hence, the ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446

8 0

2 years ago

Write the relation as a set of on rdered pai

kirill115 [55]

The relation as a set of ordered pairs is d. {(–2, 1), (0, -1), (2, -3)}.

Step-by-step explanation:

Step 1:

First, we plot the three points on the given graph.

The coordinates are given in the following form (x coordinate, y coordinate) where the symbol of the coordinates depends on the quadrant on which the point lies.

For the first quadrant, both x and y values are positive.

For the second quadrant, the x value is negative but the y value is positive.

For the third quadrant, both the values of x and y are negative.

For the fourth quadrant, the x value is positive but the y value is negative.

Step 2:

The first point has an x value of 2 and a y value of 1 since it is in the second quadrant, the coordinates are (-2, 1).

The second point has an x value of 0 and a y value of 1 since it is in the third or fourth quadrant, the coordinates are (0, -1).

The third point has an x value of 2 and a y value of 3 since it is in the fourth quadrant, the coordinates are (2, -3).

So the coordinates are {(–2, 1), (0, -1), (2, -3)} which is option d.

6 0

3 years ago

From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's

Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is x.

The horizontal change is of 602 ft.

The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

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2 years ago

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Marrrta [24]

Answer:

The answer is...

Step-by-step explanation:

No, because the bike order does not meet the restrictions of 4c+6a (less than or equal to) 120 and 4c+4a (less than or equal to) 100

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3 years ago