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Komok [63]
3 years ago
11

. The volume of soup varies directly with the volume of water used to prepare it. John uses 2.5 L of water to make 3.0 L of soup

.
Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Step-by-step explanation:

vs = K vw

where vs is volume of soup

K is the constant

vw is volume of water

3 = K × 2.5

3 = 2.5K

K = 1.2

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Use decimals to give the ordered pair for point U. Remember to putyour odered pairs in parenthesis.
Gnoma [55]

Answer:

(0,2.5)

Step-by-step explanation:

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3 years ago
What is the sum of the first 37 terms of the arithmetic sequence?
lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_{1} + a_{n})}{2}

In this question:

a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6

We want the sum of the first 37 terms, so we have to find a_{37}

a_{n} = a_{1} + (n-1)*d

a_{37} = a_{1} + (36)*d

a_{37} = -27 + 36*6

a_{37} = 189

Then

S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

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3 years ago
A line has a slope of 5 and passes through the point
podryga [215]

Answer:

Step-by-step explanation:

The equation is mx+b=y.

M=slope (in this case 5)

x=x coordinates

b=y intercept

y=y coordinates

For the x and y coordinates, I'll use (2,0).

5(2)+_=0

10+_=0.

In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.

Hope this helps,

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3 years ago
Janet’s savings account has $12.10 more than the $242 it had at the beginning of the year. What percent more was in the savings
Ilia_Sergeevich [38]
5% is the answer!! :)
5 0
3 years ago
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