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Studentka2010 [4]
3 years ago
10

The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x

+ 4 represent the third integer. Which equation can be used to find the first integer?
3x = 2x + 6

3x + 126 = 2x + 6

2x + 6 = 126

3x + 6 = 126
Mathematics
2 answers:
Radda [10]3 years ago
8 0

Answer:

3x+6=126

Step-by-step explanation:

Let x represent the first even integer

Let x + 2 represent the second even integer

Let x + 4 represent the third even integer

Now we are given that The sum of three consecutive even integers is 126.

ATQ

x+x+2+x+4=126

3x+6=126

So, Option D is correct.

So, equation can be used to find the first integer is 3x+6=126

Ugo [173]3 years ago
6 0
X = 1x
1x + 1x+ 2 +1x + 4 = 126
rearrange
1x+1x+1x+2+4=126
3x+6=126

3x +6=126
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Divide £88 between Bill and Sam. If Sam gets
Lynna [10]
<h3>Answer:  £66</h3>

Your teacher may want you to leave off the pounds sign.

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Explanation:

x = amount Bill gets

3x = amount Sam gets, because he gets three times as much

x+3x = 4x = total amount of money

4x = 88

x = 88/4

x = 22

Bill gets £22

3x = 3*22 = 66

Sam gets £66

Note that 22+66 = 88 to help confirm the answer.

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3 years ago
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Answer:

a) (-2,2), (-1,-1), (1,-1), (3,7)

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3 years ago
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its the first 1. b.

Step-by-step explanation:

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2 years ago
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Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even
Allushta [10]

Answer:

P(E|A)= \frac{10}{11}

Step-by-step explanation:

Given

Two rolls of die

E \to one of the outcomes is 6

A \to atleast one is 6

Required

P(E|A)

First, list out the outcome of each

E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}

So:

P(E|A)= \frac{n(E\ n\ A)}{n(A)}

Where:

E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

n(E\ n\ A) = 10

n(A) = 11

So:

P(E|A)= \frac{10}{11}

7 0
3 years ago
If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

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  • b\implies 7
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Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

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3 years ago
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