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xz_007 [3.2K]
3 years ago
9

A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 55 ​seconds, th

e gauge on the bottle indicates that it contains 1919 ounces of water. After it has been filling for 1111 ​seconds, the gauge indicates the bottle contains 3737 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that relates the amount of water in the​ bottle, y, to the time x.
Mathematics
1 answer:
True [87]3 years ago
8 0

Answer:

y=3x+4

Step-by-step explanation:

Let y be the amount of water in the bottle x seconds after the faucet was turned on.

We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 ​seconds, the gauge indicates the bottle contains 37 ounces of water.

We have two points on the line (5,19) and (11,37).

Let us find slope of the line passing through these points.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{37-19}{11-5}

m=\frac{18}{6}

m=3

We will write our required equation in slope-intercept form y=mx+b, where, m represents slope and b represents the y-intercept.

Let us find y-intercept by substituting m=3 and coordinates of point (5,19) in slope intercept form.

19=3\cdot 5+b

19=15+b

19-15=15-15+b

4=b

Therefore, our required equation would be y=3x+4.

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There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 238.5 grams of this cereal
patriot [66]

Answer: 147.87 calories

Step-by-step explanation:

Let the amount of calories in 238.5 grams of this cereal be represented by x.

Based on the information given, we can form an equation as:

110/177.4 = x/238.5

Cross multiply

177.4 × x = 238.5 × 110

x = (238.5 × 110) / 177.4

x = 147.87

Therefore, there are 147.87 calories in 238.5 grams of this cereal.

6 0
3 years ago
Write 135% as a fraction in simplest form.<br> a. b. <br> c. d.
hjlf
It's 27/10 or 2 7/10.
4 0
3 years ago
5(b)
viva [34]

If the side length is greater than 11.11 cm then it will not overflow.

Otherwise, it will overflow.

If Joe tips the bucket of water in a cuboid container and the water is not overflowing then the cuboid container must be of volume greater than 1370 cm³.

We find the cube root of 1370 cm³.

\sqrt[3]{1370} \approx11.11

Then the cuboid container should have a side of length greater than 11.11 cm.

Here the statement  "If I tip my bucket of water in the cuboid container, it will never overflow" is correct or wrong based on the information that the container has a side length lesser or greater than 11.11 cm.

If the side length is greater than 11.11 cm then it will not overflow.

Otherwise, it will overflow.

Learn more about volume here-

brainly.com/question/1578538

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7 0
1 year ago
A circle has its center at the center of a square with 3-inch sides. Find the area of the square not covered by the circle Round
Aleonysh [2.5K]
So in order for us to know the area of the square that is not covered by the circle, we need to find first both the areas of the square and the circle.
So for the area of the square it is A = sxs. And for the circle is A = pi*r^2.
Let us find the area of the square first given that the side is 3 inches.
So A = 3*3
    A = 9 square inches.
Next is the area of the circle. Since the center of the circle is the same with the center of the square, the radius would be 1.5.
SO, A = (3.14)(1.5)^2
       A = 2.25 (3.14)
        A = 7.065 square inches.
Next, we deduct the area of circle from area of square and the result would be 1.935 <span>in². So the answer for this would be option B.
Hope this answer helps.</span>
7 0
3 years ago
Solve the equation by dividing both sides by the appropriate number.<br><br><br> 5=18* N
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