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Marysya12 [62]
3 years ago
13

The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da

ys that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
What is the slope of the line?
A. -2
B. -1/2
C. 7/16
D. 39/30

Mathematics
1 answer:
vivado [14]3 years ago
7 0

A = ( 15 , 15 )

B = ( 6 , 33 )

slope =  \frac{y(b) - y(a)}{x(b) - x(a)} \\

slope =  \frac{33 - 15}{ 6 - 15} \\

slope =  \frac{18}{ - 9} \\

slope =  - 2

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball traveled 79 met
Sav [38]

Answer:

0.395 kilometre

Step-by-step explanation:

Given:

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.

On his second stroke, the ball traveled 79 meters and went into the hole.

<u>Question asked:</u>

How many kilometres from the hole was Martin when he started?

<u>Solution:</u>

Let distance from Martin starting point to the hole in meters = x

On Martin's first stroke, ball traveled = \frac{4}{5} \ of \ total \ distance\ to\ the\ hole

                                                             =\frac{4}{5} \times x=\frac{4x}{5}

On his second stroke, the ball traveled and went to the hole = 79 meters

Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke

x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters

Now, convert it into kilometre:

1000 meter = 1 km

1 meter = \frac{1}{1000}

395 meters = \frac{1}{1000}\times395=0.395\ kilometre

Thus, there are 0.395 kilometre distance from Martin starting point to the hole.

8 0
3 years ago
Change the equation of the parent square root function to represent the equation of the graphed functior
telo118 [61]

Answer:

y= \sqrt{x} - 2

Step-by-step explanation:

This is correct

7 0
3 years ago
Which number serves as a counterexample to the statement below. 2X &lt; 3X
vivado [14]

Answer:

-2

Step-by-step explanation:

Here, we want to select a value that makes the expression wrong

The correct answer will be a negative number

Thus, we have it that;

2(-2) > 3(-2)

-4 > -6

5 0
3 years ago
Find the amount of time. <br> 8. I = $2000, P = $5000, r = 8%
algol [13]

Answer:

t = 5 years

Step-by-step explanation:

I = $ 2000

P = $ 5000

r = 8%

I = P * \frac{r}{100}*t\\\\t =\frac{ I * 100}{P*r}\\\\t =\frac{2000*100}{5000*8}\\\\ = 5

5 0
3 years ago
David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man
BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

8x+10y= 574   (i)

x=y+2 (ii)

Put value of x from (ii) in (i)

8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0
2 years ago
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