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Triss [41]
3 years ago
5

Kayla has taken an online boating safety course and is completing her end-of-course exam. As she answers each question, the prog

ress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed Question 12, and the progress bar shows she is 40% complete. How many total questions are on the test?
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0
Hey there :),Good question!
If question 12=40%
Lets determine how many questions fill 20% of the progress bar
Take 12 and divide by 2 to get half of the questions
12/2=6
6 questions equal 20% progress bar
100/20= 5
Next multiply 6 and 5 to find the total number of questions:
6×5=30
The answer is 30 Total Questions are on the test

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What is the equation of the line that passes through (-3, -1) and has a slope of 2/5 ? Put your answer in slope-intercept form.
Scrat [10]

Answer:

  a.  y = 2/5x + 1/5

Step-by-step explanation:

In point-slope form, the equation of a line with slope m through point (h, k) can be written

  y = m(x -h) +k

Then a line with slope 2/5 through the point (-3, -1) will have point-slope equation ...

  y = (2/5)(x +3) -1

This can be simplified to the desired form:

  y = 2/5x +6/5 -1 . . . . . . eliminate parentheses; next, collect terms

  y = 2/5x + 1/5

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3 years ago
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Slope intercept of (1,1) and (0,7)
Sonja [21]

Answer:

\boxed {m = -6}

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you determine the slope of the following two points:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

(Where (x_{1}, y_{1}) is the first point and (x_{2}, y_{2}) is the second point)

-Apply both points onto that formula:

(x_{1}, y_{1}) = (1, 1)

(x_{2}, y_{2}) = (0, 7)

m = \frac{7 - 1}{0 - 1}

-Solve:

m = \frac{7 - 1}{0 - 1}

m = \frac{6}{-1}

\boxed {m = -6}

3 0
3 years ago
Given rectangle ABCD with vertices A(1, 4), B(3, 6), C(6, 3), and D(4, 1), what is the
Hitman42 [59]

Answer:

  10√2

Step-by-step explanation:

A(1, 4), B(3, 6), C(6, 3), D(4, 1)

The distance formula tells you the distance d between two points (x1, y1) and (x2, y2) is given by ...

  d = √((x2-x1)² +(y2-y1)²

Then the side lengths are ...

  AB = √(2² +2²) = √8 = 2√2

  BC = √(3² +(-3)²) = √18 = 3√2

The perimeter is twice the sum of these sides, so is ...

  P = 2(2√2 +3√2) = 10√2 . . . the perimeter of the rectangle

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3 years ago
Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

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Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

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g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

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The answer is 4/7
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