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2 years ago

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The athlete drank 80% of his water bottle in the first 15 minutes of his workout. If the bottle held 16.9 ounces of water, how m

any ounces was that?

1 answer:

Tresset [83]2 years ago

6 0

Answer:

13.52 ounces of water

Step-by-step explanation:

80% equals 8/10

So we multiply 16.9x8/10 getting 13.52 ounces

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On the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs. If this patte

Allushta [10]

Answer:

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: $a_n=a_1+(n-1)d$ , where,

$a_n=\text{nth term of the sequence}$ ,

$a_1=\text{1st term of the sequence}$ ,

$n=\text{Number of terms of the sequence}$ ,

$d=\text{Common difference}$ .

Since on the first day Jessie scored 2 runs, so $a_1=2$ and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

$a_n=2+(n-1)*2$

$a_n=2+2n-2$

$a_n=2n$

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is $a_n=2n$ .

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

$a_8=2*8$

$a_8=16$

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

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You know the slope of a line and a point on the line that is not the y-intercept. Can you use a graph to write the equation of t

Gnoma [55]

Sure you could as long as you have the point.

for example let's say the slope is 2 and the point we are given is (4,4)

we know that:
$y = mx + b$
plug in the values given
x=4
y=4
m=2

$4 = 2(4) + b$
b, the y intercept equals -4.

so:

$y = 2x - 4$
in this case

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Michael wants to find the length of the shadow of a tree. He measures the height of a fencepost and the length of the shadow it

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The shadow of the tree is about 17.955 feet long.

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