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3 years ago

4688-3) -30X-5 CX-5)

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

8 0

Answer:

x ≈ 4.3

Step-by-step explanation:

Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:

4(8x - 3) - 30x = 5(x - 5)

32x - 12 - 30x = 5x - 25

Add like terms (32x and -30x), like so:

32x - 30x = 2x

2x - 12 = 5x - 25

Subtract 2x from both sides:

2x - 12 = 5x - 25

-2x -2x

____________

-12 = 3x - 25

Add 25 to both sides:

-12 = 3x - 25

+ 25 + 25

____________

13 = 3x

Divide both sides by 3:

4.3 ≈ x

pshichka [43]3 years ago

4 0

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

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kakasveta [241]

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What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and a

Lina20 [59]

Answer:
volume of prism = 378 cm³

Explanation:
The volume of the right prism can be calculated as follows:
volume of prism = area of base * height of prism

1- getting the area of base:
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
area of base = 27 cm²

2- getting the volume:
volume of prism = area of base * height of prism
volume of prism = 27 * 14
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Hope this helps :)

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3 years ago

Identify the underlined place in 83.5851. Then round the number to that place. The 8 to the right is underlined.

Marina86 [1]

We have to round the number 83.5851 to the nearest hundredth.
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2 years ago

Read 2 more answers

Who can help me ! .... thanks

Tasya [4]

Given that there is no any option to choose I am going to help you according to the concepts of Congruent Triangles. Two triangles are congruent if and only if:

1. They have:exactly the same three sides
2. exactly the same three angles.

There are five ways to find if two triangles are congruent but in this problem we will use only two.

First Answer:

ASA criterion: Angle, side, angle. This means that we have two triangles where we know two angles and the included side are equal.

So:

If ∠BAC = ∠DEF and $\overline{AC}=\overline{DE}$

Then ΔABC and ΔEFD are congruent by ASA criterion.

Second answer:

SAS criterion: Side, angle, side. This means that we have two triangles where we know two sides and the included angle are equal.

$If \ \overline{AC}=\overline{DE} \ and \ \overline{BC}=\overline{DF}$

Then ΔABC and ΔEFD are congruent by SAS criterion.

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3 years ago

What is the converse of t > r

Anettt [7]

The converse of t > r is r > t

<h3>What is a converse statement?</h3>

A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.

In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.

If a conditional statement is written as: x → y

The converse is then written as y → x

Where;

x is the hypothesis
y is the conclusion

Given the expression as;

t > r

We can see that;

The variable 't' is the hypothesis
The variable 'r' is the conclusion

The converse will be;

r > t

Hence, the converse is r > t

Learn more about converse statement here:

brainly.com/question/3965750

#SPJ1

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1 year ago