kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly

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]

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:

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:

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:

11

Step-by-step explanation:

Replace the values of x and y into the equation.

2(4) + 3 = 8 + 3

            = 11

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

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:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

[tex]2n=-12[/tex]

STEP 2: Divide each term by 2 and simplify.

[tex]n=-6[/tex]

Answer:

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

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

x = -2

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.

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

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: 13. yes 14. no

Step-by-step explanation:

13. same angles sized down

14. different angles sized down

Answer:

I am pretty sure it is

B. 22 units

Step-by-step explanation:

Answer:

24 units.

Count how many boxes make up the outside of the shape. Perimeter is just the distance around the shape.

Let me know of any other questions! :)

Answer:

This simply means that, on a scale of 1 - 100, there is a 20 percent chances that, when Aaron tunes into the radio frequencies in search of a station, he will be able to get one station playing a commercial at that particular time.

For example, at 11:00am each day, him tuning into his favorite radio station would be 20 percent possible to meet one playing a commercial.

Step-by-step explanation:

Using the concept of relative frequency, the interpretation is that over a large number of days, in around 20% of the times he tunes is his favorite station a commercial will be playing.

A similar problem is given at https://brainly.com/question/16967884

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:

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:

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:

[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:

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:

regular parabola but shifted up 3 on the y axis

Step-by-step explanation:

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