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Karolina [17]
3 years ago
12

Can someone help me with this? Please

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

I'm kind of confused what the question is asking. If they are asking for an expression to represent JL then the answer is 14x -32. If they want to know the distance between J and L then the answer is 66

Step-by-step explanation:

First I set the 2 equations equal to each other (5x-2 = 9x -30) and solved this to get x =7. (ANSWER ONE)

Next I plugged 7 into one of the equations (in this case either one will work bc JK and KL are the same distance. so I plugged 7 into the first one ( 5(7) -2 ) and I got 33. This means the distance of JK (and KL since they are equal) is 33.

Next I multiplied 33 by 2 since JL is JK and KL combined ( JK and KL are both 33 and therefore adding them together (multiplying 33×2) will give you the length of JL) and I got 66 (ANSWER 2)

Sorry if this is super confusing

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Step-by-step explanation:

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3 years ago
How to Simplify. (–21 × 3) + (15 ÷ –3)
vladimir2022 [97]

Answer:

-68 is your answer

Step-by-step explanation:

Remember to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

First, solve each parenthesis

(-21 x 3) = -63

(15/-3) = -5

Next, add

(-63) + (-5) = -63 - 5 = -68

-68 is your answer

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5 0
3 years ago
) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection
RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

C_{(m,n)} = \frac{m!}{n!(m-n)!}

In this question, m = 18, n = 9. So the total number of possibilities is:

T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715

The probability is the number of desired possibilities divided by the number of total possibilities. So

P = \frac{715}{48620} = 0.015 = 1.5%

The probability the he or she will answer correctly is 1.5%

3 0
3 years ago
The perimeter of two triangles are 15 and 25. The area of the smaller triangle is 36. If the triangles are similar, what is the
DanielleElmas [232]

Answer:

60

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6 0
3 years ago
What is 8x - 6 - 7x + 10
photoshop1234 [79]

Simplifying

8x + -6 = 7x + 10

Reorder the terms:

-6 + 8x = 7x + 10

Reorder the terms:

-6 + 8x = 10 + 7x

Solving

-6 + 8x = 10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-6 + 8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x

-6 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0

-6 + 1x = 10 + 0

-6 + 1x = 10

Add '6' to each side of the equation.

-6 + 6 + 1x = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 1x = 10 + 6

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Combine like terms: 10 + 6 = 16

1x = 16

Divide each side by '1'.

x = 16

Simplifying

x = 16

HOPE I HELPED!!! :)

8 0
3 years ago
Read 2 more answers
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