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Question 4 (4 points)
(04.02)

The graph shows the amount of money paid when purchasing bags of candy at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.

What is the cost of one bag of candy? (4 points)

a
$2

b
$4

c
$0

d
$6

Answer:

A. (1, 2) and (4, 3)

B. Slope (m) = ⅓

C. y - 2 = ⅓(x - 1)

D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Step-by-step explanation:

A. Two points on the line from the graph are: (1, 2) and (4, 3)

B. The slope can be calculated using two points, (1, 2) and (4, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]

Slope (m) = ⅓

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).

Thus:

y - 2 = ⅓(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 2 = ⅓(x - 1)

3(y - 2) = x - 1

3y - 6 = x - 1

3y = x - 1 + 6

3y = x + 5

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. Convert the equation in (D) to standard form:

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Mean (average) - add all numbers up and divided by the number of addends

Mean = 46.19047619 (50)

Median - arrange numbers in numerical order, and find the one in the middle

Median = 35

Mode - number that appears the mode

Mode = 80

Range - difference between biggest and smallest number

Range = 80

~theLocoCoco

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

Answer:

f(7) = 11

Step-by-step explanation:

t = 7, so we can just plug in the value 7 for (t) in the given equation.

f(t) = 2t - 3

  f(7) = (2 × 7) - 3

  f(7) = 14 - 3

  f(7) = 11

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

Answer: 12

Step-by-step explanation:

I did it

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

Answer:

Step-by-step explanation:

a). Formula to be used,

   A = P(1 + i)ⁿ

       = 100(1 + 0.09)¹

       = $109

b). Formula to be used,

   A = [tex]P(1+\frac{i}{12})^{12n}[/tex]

       = [tex]100(1+\frac{0.09}{12})^{12\times 1}[/tex]

       = [tex]100(1+0.0075)^{12}[/tex]

       = 100 × 1.0938

       = $109.38

(c). Formula to be used,

     A = [tex]Pe^{i\times n}[/tex]

         = [tex]100e^{1\times 0.09}[/tex]

         = [tex]100(e)^{0.09}[/tex]

         = $109.42

Answer:

2x - 3 = -7 (add 3 to both sides)

2x = -4 (divide each side by 2 to get x alone)

x = -2

[tex](3x + 6)(5x + 4) \\ [/tex]

[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]

[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]

[tex] = 15 {x}^{2} + 42x + 24[/tex]

Answer:

The volume of Jill's rectangular prism is 40 cm^3

Step-by-step explanation:

w*l*h=area

2*2*10

4*10

40 cm^3

Hope this helps!!

Answer:

(-3,0), (1,0),(-5,0)

Step-by-step explanation:

Answer:

[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]

Step-by-step explanation:

Given

[tex]Sections = 3[/tex]

[tex]Measurement=18[/tex] per section

[tex]Total\ Measurement=54[/tex]

Required

Model the scenario

The model of this scenario is:

[tex]Sections * Measurement = Total\ Measurements[/tex]

This gives:

[tex]3 * 18 = 54[/tex] -- This represents the multiplication model

Divide both sides by 18

[tex]3 * 18/18 = 54/18[/tex]

[tex]3 * 1 = 54/18[/tex]

[tex]3 = 54/18[/tex]

Reorder

[tex]54/18 = 3[/tex] -- This represents the division model

Answer:

121*5677*66766.546646

5

Step-by-step explanation:

The percent of interest is he paying is,

⇒ R = 4.62%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Answer:

12%

Step-by-step explanation:

In order to calculate this we first need to find the total that she would pay if she were to choose either of these options. We do this by multiplying the number of years it would take to pay off the loan by the 12 months in a year, and then we multiply this product by the monthly payment like so...

Minimum Payment:

(12 * 12) * 28 = $4,032

$100 a month payment:

(12* 3) * 100 = $3,600

Now that we have both we need to divide the minimum payment total by the $100 a month payment total to get the percentage increase in decimal form

$4,032 / $3,600 = 1.12

Now we subtract 1 and multiply by 100 to turn this decimal into a percentage

(1.12 - 1) * 100 = 12%

Finally, we can see that if Asa only pays the minimum then she would be paying a 12% increase as opposed to paying the $100 a month

Answer:

6

Step-by-step explanation:

Answer:

Profit Function, P(x) Total Income minus Total Cost. Profit ... The next unit will make this Revenue. Marginal Cost Function, C'(x) The next unit will be this Cost ... A manufacturing company produces and sells tables. The cost function is given by: where x is the number of tables. The tables are sold for $200 each. Find . 1. The total cost of ...

Step-by-step explanation:

Brand A: 32 Diapers, $8.99: about 28 cents per diaper

Brand B: 50 Diapers, $12.49: about 24 cents per diaper

You divide the amount of diapers by the money.

For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.

Brand B is the better deal since you save about 4 cents more.

Answer:

The value of n:

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

Answer:

26

Step-by-step explanation:

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

4(Z-3)=16

4Z-12=16

  +12 +12

4Z=28

Z=7

Answer:7

Step-by-step explanation:

4(z-3)=16

4z-12=16

4z=28

4z/4=28/4

z =7

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

Answer:

45

Step-by-step explanation:

Answer:

The length of the body is 45.

Step-by-step explanation:

The violin and bass have an equal ratio, to find the ratio find the two given lengths and divide them, 72 ÷ 24 = 3. So the ratio is 3:1. To find the body of the bass you just have to do 15 × 3. Which is 45.

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

There are 48 male employees.

Step-by-step explanation:

144 divided by 3 = 48

48 x 1 = 48

Therefore there are 48 male employees.