A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis?

Answers

Answer 1

Answer:

The slope is equal to [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

In order to solve this question we need to know that.......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

Where "m" = slope," [tex]y_{2}-y_{1}[/tex]" = first difference, and [tex]x_{2} - x_{1}[/tex] is the difference of the x values of the two points that we chose to fid the slope.

(If you don't understand something I would recommend to read about first differences and how we can use the first differences to find the slope).

Now we need to find two points on the line. One of them is already given to us and it is (36,27). In order to find the second one we will have to find a point with "x" and "y" values that have the same relation ship to each other as the point (36,27). We can do that by doing the following

[tex]\frac{x/a}{y/a} =\frac{x_{1} }{y_{1} }[/tex]

In this case a any common factor of "x" and "y" except 1. So now we can do the following...

[tex]\frac{36}{27} = \frac{36/9}{27/9} = \frac{4}{3}[/tex]

Now we know that another point on this line is (4,3).

Now all we have to imagine (36,27) as ([tex]x_{2} ,y_{2}[/tex]), and imagine (4,3) as [tex](x_{1} , y_{1})[/tex]. so now......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{27 - 3}{36-4} = \frac{24}{32} = \frac{3}{4}[/tex]


Related Questions

Solve the equation

9x^2 - 64= 0

9x^2 + 64= 0

Answers

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

PLEASEE HELPP ASAPP!!

Solve: -35/-7

A: 7
B: -7
C: 42
D: -42

Answers

Answer:

D.

Step-by-step explanation:

You see, this is simple division. Let's divide it.

-35/-7 = -42

_____________________

Don't let the other options confuse you. negative dividing is just the same as regular, just negative ^^

Mario’s pizzeria makes an average of 23 pizzas per hour during this week. What is the probability that Mario will make 21 pizzas during an hour this week?

0.079
0.076
0.0000000027
0.073

Answers

0.076? I think so and I’m very sorry if I’m wrong

The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?

Answers

Answer:

15.243125

Step-by-step explanation:

we need to calculate how much would be the tax for 14.5$

so 14.5 * 5.125% = 0.743125

and then we will add that to 14.50

i dont feel like doing this i have to

HELP PLEASE!!!!

Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.

Answers

-9 is the answer

your welcome

David earns a 4% commission for all the furniture he sells. If David sales were 187500 what was the dollar amount of his commission?

Answers

Answer:195000

Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales

If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4

Find an equation connecting ‘c’ and ‘d’

Find ‘c’ when d = 8

Find ‘d’ when c = 54

Answers

Answer:

When d = 8

c = 48

when c = 54

d = 9

Step-by-step explanation:

We have the equation c is proportional to d

[tex]c \: \: \: \alpha \: \: d[/tex]

ie

[tex]\frac{c}{d} = \: a \: constant[/tex]

here given that c = 24 and d = 4 so,

[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]

so we have to find values for c and d which gives

c/d = 6

so when d = 8

[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]

Answer:

c = 6dc = 48 when d=8d = 9 when c=54

Step-by-step explanation:

We know:

‘c’ is directly proportional to‘d’

and

c = 24 when d = 4

W can write this in mathematical form as:

c∝d

Removing the proportionality symbol, k is the constant of proportionality

c = kd

To find the value of k, putting the known values of c and d

[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]

So the equation becomes

[tex]c = 6d[/tex]

To find the value of c when d = 8

[tex]c = 6*8\\c = 48[/tex]

To find the value of d when c=54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

c = 6dc = 48 when d=8d = 9 when c=54

A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?

Answers

Asgeblaoaoahavsanalao

The table below would represent a proportional relationship except for one y-value. Identify which y-value prevents the table from representing a proportional relationship. Then, select the value that would make the table proportional.

X 1.5, 2, 4, 4.5, 7
Y 6, 8, 16, 16.5, 28

Alternative values 17, 18, 18.5, 19.5, 20

Answers

9514 1404 393

Answer:

  non-proportional y-value: 16.5

  corresponding proportional y-value: 18

Step-by-step explanation:

Each y-value is 4 times the corresponding x-value except for (x, y) = (4.5, 16.5).

The correct proportional values would be (4.5, 18).



Yes, because each input has an output.
Yes, because 3 has one output.

No, because 1 has two inputs.
No, because -2 has two outputs.

Answers

Answer:

no because -2 has two outputs

the answer would be d) no, because -2 has two outputs.

anytime when dealing with functions, the x cannot have more than 1 output

Find the perimeter of the triangle.​

Answers

Answer:

39

Step-by-step explanation:

Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:

21 - x = 2x -3

add 3 to both sides

24 - x = 2x

add x to both sides

24 = 3x

divide by 3

8 = x

Now input 7 into the equations:

21 - x = 21 - 8 = 13

2(8) - 3 = 16 - 3 = 13

x + 5 = 8 + 5 = 13

Now add: 13 + 13 + 13 = 26 + 13 = 39

Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway

So just a simple: 13(3) = 39

please help timed
Match the reasons with the statements.

GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms

2. x2 + 8x + 12 = 0 Distributive Postulate

3. (x + 6)(x + 2) = 0 Zero product postulate

4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality

5. x = -6 or x = -2 Given

Answers

Answer:

Step-by-step explanation:

Start by combining like terms like 2x, 2x, and 6x to get 10x + 12= 0. thats  a start

Simplify (3x – 5) + (5x + 1).

Answers

Answer:

(-2x - 6)

Step-by-step explanation:

The given expression is ( 3x - 5 ) - ( 5x + 1 )

We have to simplify the given expression

First we will open the bracket having negative notation outside.

( 3x - 5 ) - 5x - 1

3x - 5 - 5x - 1

Now we will collect the similar terms together.

3x - 5x - 5 -1

-2x - 6

So the simplified form of the expression is (-2x - 6)

Answer:

8x - 4

Step-by-step explanation:

queifnsldnalbdejsjsbsjas

QUESTION ONE:
Solve for h.

Answers

Answer:

h = - 105

Step-by-step explanation:

Given

[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )

h = - 105

Answer:1.86

Step-by-step explanation:

Helpppppp please......................................

Answers

I hope this helps, have a good day

Step-by-step explanation:

4. - 5a>1-3

5a<2

a<2/5

5. - 2b<-6-27

2b>33

b>33/2

6. 1/2(c+1)>5

c+1>10

c>9

7. A. The club earns 10*p $

B. Difference 10*p - 75

C.

[tex]p \geqslant \frac{(75 + 50)}{10} [/tex]

[tex]p \geqslant \frac{125}{10} [/tex]

whaz upppppppppppppp​

Answers

Answer:

Hellp

Step-by-step explanation:

Answer:

what's up how's it going

resolve into factors (4a+b)(4a-b)​

Answers

Answer : [tex]16^a - b^2[/tex]

[tex](4a + b) (4a - b )[/tex]

[tex]= (4a + b) (4a - b )[/tex]

[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]

[tex]= 16^a - 4ab + 4ab - b^2[/tex]

[tex]= 16^a - b^2[/tex]

The answer would be 16^a-b^2

Find
the
reciprocal
0f
0.65 to three
Significant
figurs​

Answers

Answer:

100/ 56

Step-by-step explanation:

100/65 because 0.65 is a decimal number

hope it helps!

Answer:

100/65 because 0.65 is in decimal

ahhahanvm? shushaha bruh what do i do

Answers

Uh I’m not even gonna question it but thanks for the free points ig? Lol

\u gotta ask ur question

Step-by-step explanation:

Which is the greater fraction
3/4 or 11/16​

Answers

Answer:

3/4

Step-by-step explanation:

3/4 = 75%

11/16 = about 68%

Therefore, 3/4 is greater

A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help

Answers

Answer:

$3.38

Step-by-step explanation:

8/1.5=18/x

18*1.5/8

3.375

or 3.38

Hope this helps plz hit the crown :D

Answer:

18=3.38

Step-by-step explanation:

I will mark you and plz help me!!

Answers

Answer:

x                f(x)

-9               9

-6               4

-3               -1

0                 -6

Step-by-step explanation:

plzzz help me with this ​

Answers

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

please help i will mark brainlist

Answers

Answer:

In order to use the Pythogrean theorem you must first use the points to form a triangle then count the side length in order to get your numbers. It should be 7^2+2^2=c^2 and your answer should be 7.28. This person subtracted the x coordinates from the x coordinate and the y from the y to get their numbers.

Step-by-step explanation:

An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has
a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length
of the triangle? What is the side length of the hexagon? Show your work.

Answers

Answer:

24 i can be rong

Step-by-step explanation:

1/7 (63n-77)=11+9n please answer

Answers

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour. Write a linear model that represents the total cost C of recording an album as a function of studio time(in hours). Use the variable t to represent the number of hours the recording studio is used

Answers

Answer:

C=$50+$75×T

Step-by-step explanation:

$50 is the amount charged to record an album + 75 amount charged per hour ×T which is how much hours you are going to record an audio.

Pls help fast will give brainliest

Answers

Answer:

23

Step-by-step explanation:

6×3+5(3-2)

6×3+5×1

18+5

23

I need some help with MORE math if you could answer that would be great.

Answers

Answer:

bbbbbb

Step-by-step explanation:

:)

Answer:

D. [tex]\frac{81}{m^{7}}[/tex]

Step-by-step explanation:

[tex](3m^{-4})^{3}(3m^{5})[/tex]

[tex]\frac{81m^{5}}{m^{12}}[/tex]

[tex]\frac{81}{m^{7}}[/tex]

Solve for X

17
47
34
13

Answers

Answer:

So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°

Step-by-step explanation:

Sorry if that’s confusing

Answer:

x = 17

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

94° is an exterior angle of the triangle, thus

2x + 60 = 94 ( subtract 60 from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

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