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melomori [17]
3 years ago
11

There are 10 gallons of water in a tank. Each minute, 4 more gallons are added. The volume of the water in a tank after t minute

s is V (gallons). What is the formula for the dependence of V on t (t≤10)?
Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer:

V = 10 + 4t

Step-by-step explanation:

To find the equation, look at the pattern:

  • 10 gallons + 4 gallons = 14 gallons after 1 minute
  • 10 + 4 + 4 = 18 after 2 minutes
  • 10 + 4+4+4 = 22 after 3 minutes.

The pattern is 10 + 4 (t) = V

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Janet is buying a $28 necklace. The store reduces the price by 20% and then applies a $2 off coupon. How much will Janet pay for
Leokris [45]
Okay well the starting is 28 dollars, right. But since there is a 20 percent discount, you have to turn 20% to a decimal. That means moving the decimal sign twice to the left to make it .20. From the it would be .20*28, that should equal 5.6. Now, that 5.6 is the amount you have to take away, it is the price of the sale. From then, you subtract which is 28-5.6 which should be 22.4. From that 22.4 you now take away two dollars and then it should be 22.4-2 which should be 20.4. Now that is your answer, 20.4.
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mario62 [17]

Answer:

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Step-by-step explanation:

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2 years ago
if you’re good with set theory in math 30 please help with questions 31 and 32!! real answers only !!
GREYUIT [131]

Answer:  31) d     32) c

<u>Step-by-step explanation:</u>

31)

A = {1, 3, 5, 15}

B = {2, 3, 5, 7}

A ∪ B = {1, 2, 3, 5, 7, 15}

C = {2, 4, 6, 8}

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32)

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7 0
3 years ago
You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games
Amanda [17]

Answer:

y=-3x+48

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: y=mx+b, where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: m=\frac{y_2-y_1}{x_2-x_1},

m=\frac{21-33}{9-5}

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Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

33=-3\cdot 5+b    

33=-15+b    

33+15=b    

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Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

y=-3x+48

Therefore, our desired equation will be y=-3x+48.

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Because when you simplify a fraction you divide the number on bottom be the top number to simplify the fraction and make it a mixed number
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