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Pavel [41]
3 years ago
8

What is the value of x in the equation 3x-4y=65 when y =4

Mathematics
1 answer:
Dovator [93]3 years ago
5 0
3x - 4(4) = 65

First, simplify 4 × 4 to get 16. / Your problem should look like: 3x - 16 = 65
Second, add 16 to both sides. / Your problem should look like: 3x = 65 + 16
Third, simplify 65 + 16 to 81. / Your problem should look like: 3x = 81
Fourth, divide both sides by 3. / Your problem should look like: x = \frac{81}{3}
Fifth, simplify \frac{81}{3} to 27. / Your problem should look like: x = 27

Answer: x = 27

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What is the longest line segment that can be drawn in a right rectangular prism that is 14cm​ long, 13cm​ wide, and 11cm​ tall?
vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (14)^{2} + (13)^{2}

                 = 196 + 169 = 365

 (diagonal)^{2} = 365

diagonal = \sqrt{365} = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

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4 0
1 year ago
Based on your observations from Question 1, what is the relationship between AE and BF when DFB and CEA measure something other
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Answer:

if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.

8 0
3 years ago
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Aiden spins the spinner shown 20 times. His results are shown in the table. What are the experimental and theoretical probabilit
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Answer:D

Step-by-step explanation:

5 0
3 years ago
On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes i
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3.9 x 5.1 = 19.89

10^3 x 10^3 = 10^6

19.89 x 10^6

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You type 4500 words per hour. How many words do you type<br> per minute?
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Answer:

<u>you type </u><u>75</u><u> words per minute.</u>

Step-by-step explanation:

since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)

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3 years ago
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