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3 years ago

Jorge ordered 22 bottles of juice. Each bottle holds 6.32 ounces of juice.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

4 0

Answer: On the first one its either A or D. (I think)

Step-by-step explanation:

So what I did was I multiplied 22 and 6.32 together and got 139.04 and the closest estimate to that would be 160 because 39 is closer to 60 than 20 (A) and since its not 150 the estimate would be lower than higher. (D)

Makovka662 [10]3 years ago

4 0

I think it's A
$6.32 \times 22 = 139.04$
- You can't choose D or B because the answer is more than that.
- You can't choose C because it's too far from the answer.
- So the answer is A because it's the nearest to the answer.

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Answer:

$S_n=3k\cdot (2k+1)=6k^2 +3k$

Step-by-step explanation:

k is a positive integer.

Consider an arithmetic sequence:

$a_1=2k\\ \\a_n=4k\\ \\d=1$

First, find n:

$a_n=a_1+(n-1)\cdot d\\ \\4k=2k+(n-1)\cdot 1\\ \\2k=n-1\\ \\n=2k+1$

Now, find the sum of these 2k+1 terms:

$S_n=\dfrac{a_1+a_n}{2}\cdot n\\ \\S_n=\dfrac{2k+4k}{2}\cdot (2k+1)=\dfrac{6k}{2}\cdot (2k+1)=3k\cdot (2k+1)=6k^2 +3k$

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3 years ago

Find the measure of the exterior angle X:<br> 125

igomit [66]

Answer: x=80°

Explanation:
To find the exterior angle x we first need to find the last corner angle (a) of the triangle. The angles of triangles add up to 180° so we can use the formula: 25+55+a=180

Solving formula:
25+55+a=180
80+a=180
(Subtract 80 from both sides)
a=100°

Now that we know a=100 we can find the exterior angle. a+x=180 because the angles are on a straight line which equals 180°

a+x=180
100+x=180
(Subtract 100 from both sides)
x=80°

Hope this helps! Please leave a thanks if possible so I can continue to help others :)

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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