2. The graph represents the amount
of water, y, left in a 13.5-gallon tub
after x minutes. What is the slope of
the line? What does the slope mean
in this context?

2. The Graph Represents The Amountof Water, Y, Left In A 13.5-gallon Tubafter X Minutes. What Is The

Answers

Answer 1

Answer:

Slope: -3/2

With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and get [tex]\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}[/tex]

This slope means that the water is decreasing at a rate of 3/2 gallons per minute.


Related Questions

HELP!...................................................

You start your Thanksgiving morning doing the Turkey Trot, a 5K run, with friends. Your mom said you need to be at the Thanksgiving celebration by 11:30am to help prepare the side dishes. In order to get there on time, you have to plan ahead. The Turkey Trot starts at 8:00am. You have allotted 1.25 hours after the trot to stretch, and get home. It takes you 0.75 hours to shower and get ready. The drive to the Thanksgiving dinner is 0.9 hours. At what speed (in km/hr) do you need to run the Turkey Trot in order to still be on time to Thanksgiving on time?

Answers

Answer:

1.6 hrs remaining, or 3.12 km/h

Step-by-step explanation:

Describe the type of correlation each scatter plot shows. Draw a trend line that

models each data set and find the equation of that trend line.

Answers

The correlation is positive, negative and no correlation.

The correlation coefficients off both the scatter plots are mentioned above.

What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as

        [tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]

       where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

#SPJ5

ILL GIVE BRAINLIEST
Two machines are printing shirts. The first machine can produce 2,100 shirts in 140 minutes. The second machine can produce 2,400 shirts in 120 minutes. If the two machines work together, how long will it take them to produce 7,350 shirts? If necessary, round your answer to the nearest whole number.

Answers

Answer:

210

Step-by-step explanation:

so first i found out how many shirts each prints in a minute

the first machine produced 15/min

the second produced 20/min

now I added the 2 together and got 35

7,350/35 is 210

Mr. Capp runs his own disc golf store every Saturday. The first customer of the day came in and bought
1 driver and 2 putters for $43. The second customer came in and bought 3 drivers and 1 putter for $69.
How much money does one driver and one putter cost at Mr. C's store?

Answers

Answer:

a driver costs $19, while a putter costs $12

Step-by-step explanation:

driver = d

putter = p

1d + 2p = 43

3d + 1p = 69

d + 2p = 43. eq 1

3d + p = 69. eq 2

make d the subject of the equation

d = 43 - 2p. eq 3

substitute the value of d in eq 3 in eq 2

3(43 - 2p) + p = 69

129 - 6p + p = 69

collect like terms

129 - 69 = 6p - p

60 = 5p

p = 12

substitute the value of p in eq 3

d = 43 - 2(12)

d = 43 - 24

d = 19

35% of (blank) days is 7 days

Answers

Answer:

2.45 days.

Step-by-step explanation:

35% of 7 days is 2.45 days :) please thank.

This should be 20.

50% of 20 is 10. If you subtracted 15% from 10, you would get 3 which then makes it 7. Therefore, 35% of 20 days is 7 days.

Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.

Answers

Answer:

First number is -2.5

Second number 5

Step-by-step explanation:

Four times the first number minus three times the second number is 2.

To represent this statement, 4x -3y =2

Two times the first number increased by three times the second is 10.

To represent thsi statement, 2x+ 3y = 10

4x - 3y = 2

2x + 3y =10

4x - 2x = 2x

2x = -5

x= -2.5

The first number is -2.5

By using Substitution

2x + 3y = 10

2(-2.5) + 3y = 10

-5 + 3y = 10

3y = 10 +5

3y =15

y = 5

The second number is 5

....To check my answer

-5 + 15 = 10

Find the value of the variables.

Answers

Answer:

x = 90 degrees

y = 50 degrees

Step-by-step explanation:

The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.

If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the
probability that the Islanders will win exactly three out of three games in a series
against the Rangers? Round your answer to the nearest thousandth.

Answers

Answer:

1/3 ^ 1/3 * 1/3 = (1/3)^3 = 1/27

Please, Help with this MATH question.

Answers

y in the second equation
The x at the second one. I hope you are help

67-7x(12-3)
Evaluate

Answers

Answer:

67-63x

Step-by-step explanation:

HELPPP 20 PNTS---- CHOOSE THE WRITE ANSWER!!!!

Answers

Answer:

B. is correct answer I think so

Step-by-step explanation:

i need help please

plz mark me as brilliant

Only the a) part please!!!!

Answers

[tex](i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}[/tex]

[tex]\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}[/tex]

[tex]\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1[/tex]

Answer:

  (i)

  [tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]

  (ii) 6x+y=31; 4x-3y=17

  (iii) (x, y) = (5, 1)

Step-by-step explanation:

(i)

The matrix 2A is written by multiplying each element of A by 2.

  [tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]

__

(ii)

Variables are seen in elements (1, 1) and (2, 2) of the matrices A and B, so the simultaneous equations can be chosen from those elements of the equation 2A+B=C.

6x+y=314x-3y=17

__

(iii)

A graphing calculator shows the solution to be (x, y) = (5, 1).

2 (x + 4) = 2 (-8 - x) - 2x

Answers

Answer:

x = -4

Step-by-step explanation:

Simplifying

2[x + 4] = 2[-8 + -1x] + -2x

Reorder the terms:

2[4 + x] = 2[-8 + -1x] + -2x

[4 * 2 + x * 2] = 2[-8 + -1x] + -2x

[8 + 2x] = 2[-8 + -1x] + -2x

8 + 2x = [-8 * 2 + -1x * 2] + -2x

8 + 2x = [-16 + -2x] + -2x

Combine like terms: -2x + -2x = -4x

8 + 2x = -16 + -4x

Solving

8 + 2x = -16 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

8 + 2x + 4x = -16 + -4x + 4x

Combine like terms: 2x + 4x = 6x

8 + 6x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0

8 + 6x = -16 + 0

8 + 6x = -16

Add '-8' to each side of the equation.

8 + -8 + 6x = -16 + -8

Combine like terms: 8 + -8 = 0

0 + 6x = -16 + -8

6x = -16 + -8

Combine like terms: -16 + -8 = -24

6x = -24

Divide each side by '6'.

x = -4

Simplifying

x = -4

2( x + 4) = 2 (-8 -x) -2x

Use the distributive property to multiply 2 by x + 4.

2x + 8 = 2 (-8 -x) - 2x

Use the distributive property to multiply 2 by -8 -x.

2x + 8 = -16 -2x - 2x

Combine -2x and 2x to get -4x.

2x + 8 = -16 - 4x

Add 4x to both sides.

2x + 8 + 4x = -16

Combine 2x and 4x to get 6x.

6x + 8 = -16

Subtract 8 from both sides.

6x = -16 - 8

Subtract 8 from -16 to get -24.

6x = -24

Divide both sides from 6.

x = [tex]\frac{-24}{6}[/tex]

Divide by -24 by 6 to get -4.

x = -4.

Find the slope of the line that contains (−7,−1) and (−7,9).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answers

Answer:

undefined

Step-by-step explanation:

Slope = y - y / x - x

9 - (-1) / -7 - (-7)

= 9 + 1 / -7 + 7

= 10 / 0, undefined.

Cannot divide by zero.

you have to use y2-y1 divided by x2-x1 so the answer would be 8/3

The graph shows Kendra's morning run:
Which interval on the graph shows Kendra stopping to tie her shoes and stretch? (4 points)

A
B
C
D

Answers

The interval which is horizontal and has a slope of zero shows no distance was covered while time kept increasing, therefore, the interval that shows Kendra stopping to tie her shoes and stretch is: C.

Recall:

A horizontal line on a graph shows rise, and a slope of zero.

Given the graph showing Kendra's morning run, where time running is plotted on the horizontal axis (x-axis) while distance run is plotted on the vertical axis (y-axis).

Thus, the interval which is horizontal and has a slope of zero shows no distance was covered while time kept increasing, therefore, the interval that shows Kendra stopping to tie her shoes and stretch is: C.

Learn more about horizontal graphs on:

https://brainly.com/question/13483111

The sunglasses cost €70
The exchange rate is €1 = £0.895
Emad says, “The sunglasses cost less than £60"
b) Using a suitable approximation, show that Emad is wrong.

Answers

Answer:

 70 * 0.895 = 62.65

OR

1   0.895

 70 x

-Cross-multiply

[tex]\frac{70 * 0.895}{1}[/tex] = 62.65

Ms. Lopez wants to buy an ipod. The ticket price shows $225. But she only brought $146.50 to the store. What percent discount would she need so that the ipod sells at the exact amount she has in her pocket?

Answers

Answer: 65.11%

Step-by-step explanation:

15,735 children visited a fun park in January and 32,012 children visitedit in February. How many children visited the fun park in 2 months?

Answers

47,747 all you do is add the two numbers together

Solve with elimination:
10a + 4b = 18
7a + 14 = b
solve for b

Answers

b=7a+14
Might help not sure if it’s correct
So first we want to plug in The equation for b

10a+4(7a+14)=18

(we use the distributive since we have 4 times of b)

when we solve it, we get a is -1

plug in -1 for a

7(-1)+14=7

b=7

plug it back in

10(-1)+4(7)=18

18=18

Hope this helps! :)

Pleaseee this is a grade and i need to get my 67 to a 70 or above

Answers

Answer: a. [tex]f(x)=3^{x}[/tex]

Step-by-step explanation:

You can plug in the x and y values to get [tex]f(x)=3^{x}[/tex]

please help me asap, i suck at math tbh :)

ty!

Answers

x intercepts: (9,0)
y intercepts: (0,-6)

Answer:

Y intercept = (0,-6)

X intercept = (9,0)

Step-by-step explanation:

To find the y-intercept of an equation, let x = 0 and then solve for y

6(0) - 9y = 54 (6 times 0 gives us 0)

0 - 9y = 54 (subtract 9y from 0 gives you -9)

-9y = 54 (divide both sides by -9, the left side cancels out and the right side gives you -6)

y = -6 and x = 0

To find the x-intercept of the equation just let y = 0 and then solve for x

6x - 9(0) = 54 (9 times 0 gives us 0)

6x - 0 = 54 (subtract 0 from 6x gives us 6x)

6x = 54 (divide both sides by 6, left side cancels, right side gives 9)

x = 9 and y = 0

Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get

Answers

Answer:

12.55

Step-by-step explanation:

Quick easy question

Answers

Answer:16

Step-by-step explanation:

144^0.5 = 12

400^0.5 = 20

a^2=b^2+c^2

20^2 = 12^2 +x^2

x^2 = 400-144= 256

x =16

Answer:

16

Step-by-step explanation:

Jeremy solved 35 problems, which is (5)/(7) of all his homework problems. How many problems are in his homework?
ASAP

Answers

Answer:

49

Step-by-step explanation:

make an equation:

5/7x=35

x=35*7/5

x=7*7

x=49

x is the total amount

Please help find these values.

Answers

Answer:

3. x=14° y=7

4. x=29° y=3

Step-by-step explanation:

3. this is a 45 - 45- 90 triangle

so the side is a-a-a√2 ( two sides are the same)

4y-3=10+2y+1 -- collect like terms

4y-2y=10+1+3

2y=14

y=7

find the angle of the inside triangle

180-59-90 =

31°

we know the big triangle was a 45-45-90 angle

so x+31=45

x=45-31

x=14°

4. this is a square, all sides are same

5y+3y=24

8y=24

y=3

angle is 90°

x+x+9y+5=90

we know y=3 --substitute

x+x+9(3)+5=90

2x+27+5=90

2x=90-27-5

2x=58

x=58/2

x=29

Ali uses 1.5 cups of flour to bake a dozen cupcakes. at this rate,how many cups of flour will she need to bake 30 cupcakes?
A.3.75c
B.3c
C.2.4c
D.2.75c

Answers

Answer:

A

Step-by-step explanation:

1.5 c flour = 12 cupcake

0.75 c flour = 6 cupcake

1.5 + 1.5 + 0.75 = 3.75 c flour

What is the slope of the line?

Answers

Answer:

(1,1)

Step-by-step explanation:

The number of hours required to paint a house varies indirectly to the number of painters. If 5 painters painted a house in 120 hours, how many painters would be required to paint a similar house in 50 hours?

Answers

The answer is 2 workers coz there can't be 2.08333... workers

simply the expresstion: 5+8 (3 + x )

Answers

The answer is going to be 8x+29

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

Expand 8(3+x)

= 5+24+8x (add the numbers)

= 29+8x

I
Table for a linear equation
Fill in the table using this function rule.
y = 5x-2
X
y
Х
?
- 1
0
1
2

Answers

Here you go mate. Very easy concept to learn :D good luck in your studies
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