Between 11 P.M. and 8:10 A.M., the water level in a swimming pool decreased by 5/24 in. Assuming that the water decreased at a constant rate, how much did the water drop each hour?

[tex] \: \: \: \: [/tex]

[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

Step-by-step explanation:

[tex]6.2 + 0.4x = 8.05[/tex]

[tex]0.4x = 8.05 - 6.2[/tex]

[tex]0.4x = 1.85[/tex]

[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

[tex] \huge\bf Question:—[/tex]

[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]

[tex] \bf \huge \: Solution:—[/tex]

[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]

[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]

[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]

[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]

[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]

[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]

[tex]\sf \longmapsto0.4x=1.85[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]

[tex] \boxed{\bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]

[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]

[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]

[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]

[tex]\sf \longmapsto0.0256x=0.1184[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]

[tex]\sf \longmapsto \: x = 4.625[/tex]

[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]

[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]

[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]

[tex]\boxed{\bf \dfrac{37}{8}} [/tex]

[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]

[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

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

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

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Side notes:

Answer:

This relationship is not a function because more than one amount of plant food remains each day.

Step-by-step explanation:

i hope this is correct but sorry if im wrong

Answer:

The slope is steeper and the line is shifted flatter.

Step-by-step explanation:

I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).

As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.

Therefore, if line A is to transform into line B, then its slope will be steeper.

Hope this helps you :)

Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.

Answer: your anwser would be 500 c

Step-by-step explanation:

this is becuase for 1 hour it is 50 miles so you would multply 10 times 50 and get 500 please mark brainliest

Answer:

a)

Step-by-step explanation:

Answer: pretty sure it's d but I could be wrong

Step-by-stepStep-by-step explanation:

Answer:

14/3

Step-by-step explanation:

The quotient of triple a number less four and five equals two. What is the number?

"triple a number" means 3x, if we say x is the "number"

"triple a number less four" means (3x-4)

"quotient of [triple a number less four] and five equals two." means

(3x-4)/5 = 2

3x-4 = 10

3x = 14

x = 14/3

===

Does ((14/3)3 - 4)/5 = 2 ???

(14 - 4)/5

10/5 = 2                         YES

What is the number?

Answer: $301.51 [recheck the answer]

Step-by-step explanation:

y = a(1+r/n)^nt

y = 200(1+0.069/4)^4*6

y = 301.505

Answer:

I think its D? I'm not sure sorry if I get it wrong

Answer:

five miles

Step-by-step explanation:

taxi A: for one mile: 10.75

taxi B: for one mile: 11.75

two miles: A: 12.25 B: 13

three miles: A: 13.75 B: 14.25

four miles: A: 15.25 B: 15.5

five miles: A: 16.75 B: 16.75

Answer:

16

Step-by-step explanation:

The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)

Answer: 30

Step-by-step explanation:

40 + 8x = 280

-40 -40

8x = 240

___ ____

8 8

X = 30

Answer:

k = -2

Step-by-step explanation:

Divide 22 by -11 as well as -11k by -11

(You have to divide both sides by the number that k is to find your answer)

22 divided by -11 = -2

-11k divided by -11 = k

meaning you would get the answer of k = -2

Answer:

$7.50+m > $19

The inequality to be used for determining the maximum number of milkshakes she can buy will be in the form of:

[tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]

  The inequality in the position or the relationship between two variables in order to make the total either greater than, less than, or greater than equal to, or less than equal to the total amount.  

The inequality can be between numbers or algebraic expressions.  

In the given case,

To determine the inequality for the number of milkshakes the inequality will be formed as follows:  

The total cost of ice cream cones will be added with the total cost of milkshakes (where m is the number of milkshakes) and the sign used will be greater than or equal to the given amount to be spent.  

Therefore, the inequality will be  [tex]\$7.50+\$2.00\rm{m}\leq \$19.00[/tex]

  To know more about inequality, refer to the link:

https://brainly.com/question/11897796    

Answer:

uhhhh what grade level is dis?

Step-by-step explanation:

Looks like you have 2 similar triangles.

all the angles from one triangle are congruent to all the angles from the other triangle.

The sides must be proportional.

Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.

Cross multiply h to get 6*25 = 5*x.

Divide both sides of the equation by 5 to solve for x to get:

x = 6*25/5 = 6*5 = 30.

Answer:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]

1

The value of x and y are 5/6 and 8/5 respectively

Given the systems of equations

Solving the equations using the elimination method

12x + 15y = 34

-18x + 15y = 9

Subtract both expressions:

12x-(18x) = 34 - 9

12x+18x = 25

30x = 25

x = 5/6

Substitute x = 5/6 into equation 1 to have:

12x + 15y = 34

12(5/6) + 15y = 34

10 + 15y = 34

15y = 24

y = 8/5

Hence the value of x and y are 5/6 and 8/5 respectively

Learn more on simultaneous equations here: https://brainly.com/question/185757

Answer:

Step-by-step explanation:

we see that y = -3x-3

substitute that into the other equation to get

-3x-3 = 2x+7

-5x = 10

x = -2

so, y = -3(-2)-3 = 3

check to make sure (-2,3) solves both equations.

Answer: d. Shift units up

Step-by-step explanation:

f(x) = 3^x + 2 means that it must go up by two units.

Answer:

5x-12

Step-by-step explanation:

4(2x-3)-3x = 8x-12-3x=5x-12

Answer:

5x-12

Step-by-step explanation:

The coefficient in the term 7x^2y^3 is  7

The term of the expression or equation is given as:

7x^2y^3

For an expression represented as 2x, the coefficient is 2.

Similarly, the coefficient in the term 7x^2y^3 would be 7

Hence, the coefficient in the term 7x^2y^3 is  7

Read more about terms and coefficients at:

https://brainly.com/question/13602562

Answer:

7,15,20

Step-by-step explanation:

Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.

7 , 15 and 20

7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle

7 + 15 = 22

22 > 20 is true so this might be the answer but lets check the other answer choices just in case.

( we do this same process to the other answer choices )

11 , 22 and 35

11 + 22 must be greater than 35 in order for these to be side lengths of a triangle

11 + 22 = 33

33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle

7, 16 and 23

7 + 16 must be greater than 23

7 + 16 = 23

23 > 23 , this is not true so this can't be the answer.

5 + 17 must be greater than 22

5 + 17 = 22

22 > 22 this is not true so this can't be the answer.

The answer is 7,15,20

Answer:

[tex]x\approx\pm4.8989[/tex]

Step-by-step explanation:

[tex]x^2=24[/tex]

[tex]\sqrt{x^2}=\sqrt{24}[/tex]

[tex]x=\pm\sqrt{24}[/tex]

[tex]x\approx\pm4.8989[/tex]

Answer:

95.00 + 5n

Step-by-step explanation:

It cost 95 dollars to reserve the location, first. Then, you have n amount of people coming and there is 5 per n, which is 5n. Therefore, 95 + 5n.

Answer:

I think but not sure we read this question by 3 unit

Answer:

x

Step-by-step explanation:

equals 4 you can do rest