A parent is using a garden hose to fill up a small inflatable pool for her young child. The
pool has a capacity of 90 gallons. She turns the water off after 5 minutes, but leaves the
hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the 8
minutes since the parent started filling the pool can be seen as a function.
1. In that function, which variable is independent? Which one is dependent?

Answer:

1. m = -3 b = 2

2. m = 1/2 b = -1

3. m = -1 b = 79

4. m = 2 b = -2

5. y = -4x + 3

Step-by-step explanation:

1. the equation y=mx + b is used in number 1. m = slope and b = y intercept. so, because -3 is in the m spot, it is the slope, and because 2 is in the b spot, it is the y intercept.

2. apply the same concept as number 1. 1/2 is in the m spot, so it is the slope, and -1 is in the b spot, so it is the y intercept

3. To know the slope of the graph, you do rise/run. meaning, from one point on the graph, count how many times you go down to get to the next points, and then how many times you go over to get to the point. So, the slope of this line is -2/2, which is equal to -1. So, m = -1. To get the y intercept, take a pair of points from the graph (for example, (3,76)) and take the slope, and fill those in to the y = mx + b equation, and then solve for b. so, you get 76 = -1(3) + b. then do -1 times 3 and get -3. add 3 to both sides and you get b = 79.

4. apply the same concept on number 4 as you did number 3. Find rise/run, and you get 2/1, so m = 2. then take a point from the line (like point (0,-2)) and and the slope and fill it in to  y = mx + b. you get -2 = -2(0) + b. so, b = -2.

5. simply fill in the information into the y = mx + b equation. remember, m is the slope, and b is the y intercept. so, you get y = -4x + 3

Answer:

One 25 fl oz bottle costs $8

Step-by-step explanation:

144÷18=8

Answer:

8$ if my math is correct.

Step-by-step explanation:

Kind of a trick question. It is asking how much each bottle costs. You know that there are 18 bottles and have a total cost of $144. You  do not need the 25oz for this equation. Lastly, I divided the total cost by 18 to get the total of 8$ for each bottle

Answer: 6/14 and 42/99

Step-by-step explanation:

Answer:

x1 = -1, and y1 = -2

Step-by-step explanation:

Step-by-step explanation: The equation of a line in point-slope form. is the equation of the line containing point (x1, y1) and having slope, m. The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2

Answer:

Angle 3= 135

Step-by-step explanation:

Angle 3=Angle 1 because they are corresponding angles meaning they are equal and on the same side of the traversal.

Hope this helped and the answer was right in the question

Answer:

Step-by-step explanation:

corresponding angles are congruent, equal to each other.

therefore, ∠1 ≅ ∠3 which is 135°

Answer:

6

Step-by-step explanation:

3x12 = 36

(4+2)    6

simplify

36/6=6

The value is indeed 6 and there shouldn't be a variable because if there is, then there should be a variable in the question.

The simplified form of the expression (3 × 12)/(4 + 2) is 6.

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, An expression (3 × 12)/(4 + 2).

Now, 12×3 is 36, and (4 + 2) is 6.

Therefore the simplified form of the expression is,

= 36/6.

Now, we know that 6 times 6 is 36 so, 36 divided by 6 the quotient should be 6.

Therefore,

36/6.

= 6.

So, The value of the expression  (3 × 12)/(4 + 2) is 6.

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Answer:

20%

Step-by-step explanation:

The percentage of students who chose math as their favorite subject 20%

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that there are 450 students at Central Middle School. In a survey, 90 of the student chose math as their favorite subject.

The percentage will be calculated as:-

Percentage = ( 90 / 450 ) x 100

Percentage = 0.2 x 100

Percentage = 20%

The percentage will be 20%.

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Answer:

22.2653 or 22.27

Step-by-step explanation:

hope this helps

Answer: 22.265

Step-by-step explanation:  4.201x5.3 = 22.265

Answer:

96

Step-by-step explanation:

1 sticker pack has 28 stickers

3(28) = 84

84+12

96

Answer:

96

Step-by-step explanation:

28 × 3 = 84 + 12 = 96 I think, I'm not sure

Step-by-step explanation:

0 < X < 24

.....................

Answer:

C: She used GF=2BG, but the correct statement is BG=2GF

Step-by-step explanation:

Hope this helps, have a marvelous day!!!!!

Answer:

c

Step-by-step explanation:

Answer:

B: No, because -1/4 is to the right of -3/4

Step-by-step explanation:

Just did the question

Answer:

its b

Step-by-step explanation:

got it right

Hope this helps

Answer:

91.

Step-by-step explanation:

The least number will be a multiple of 7 while the number - 1 will be a multiple of 2,3 and 5.

2*3*5 = 30  but 31 is not a multiple of 7.

2*2*3*5 = 60 but 61  is not divisible by 7.

2*3*3*5 = 90 and 91 is divisible by 7.

Answer:

82.5

Step-by-step explanation:

divide 330÷4= 82.5

Answer:

3y and 1y

Step-by-step explanation:

Answer:

Plug in 1ft/12in

This will give you 36 ft

Step-by-step explanation:

After plugging in, multiply across and simplify/divide and you get your answer

Answer:

32

Step-by-step explanation:

Answer: 87.50

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

its just the opposite

Answer:

2 37/40

Step-by-step explanation:

Answer:

k = -50

Step-by-step explanation:

3/5k - 5 = 7/10k

3*2 / 5 *2 = 6/10 to get a common denominator

6/10k - 5 = 7/10k subtract 6/10 from 7/10

-5 = 1/10k now eliminate fraction by multiple both sides by reciprocal (10/1)

-5(10) = 1/10(10)k

-50 = k

Answer:

4, 2, 1

Step-by-step explanation:

The factors of 48 are 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.

The factors of 92 are 92, 46, 23, 4, 2, 1.

The common factors of 48 and 92 are 4, 2, 1.

Answer:

After the discount, the comb would be $1.35

Step-by-step explanation:

Answer:

a=15

Step-by-step explanation:

2a-10=20

2a=30

a=15

can i have one brainliest plz

Answer:

a = 15

Step-by-step explanation:

I assumed you were trying to solve for A :)

3a - 10 = a + 20

1. Combine like terms (A's on side, numbers on the other).

3a - 10 = a + 20

-a           -a

-----------------------

2a - 10 = 20

     +10   +10

------------------------

2a = 30

Now that all of your like terms are combined, work to isolate A. The only way to do this is to divide by 2 on both sides of the equal sign.

[tex]\frac{2a}{2} = \frac{30}{2}[/tex]

This leaves you with a = 15, which is your answer if you are told to solve for A

I hope this helps!

Answer:

f(x)=9(x+3)^2+2

Step-by-step explanation:

f(x)=9x^2 --> a=9

f(x)=a(x-h)^2+k -->f(x)=9(x-h)^2+k

vertex= (-3,2) --> h=-3 and k=2--> making it f(x)=9(x+3)^2+2