Answer:
21cm
Step by step:
Scale : 9cm :12m
Therefore 1m = 9/12 cm
28m= 9/12 *28 = <u>21 cm</u>
Answer: there are 10 multiple choice questions and 15 short-answer questions
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short-answer questions in the test.
If the test has 25 questions, it means that
x + y = 25
Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that
2x + 4y = 80 - - - - - - - -1
Substituting x = 25 - y into equation 1, it becomes
2(25 - y) + 4y = 80
50 - 2y + 4y = 80
- 2y + 4y = 80 - 50
2y = 30
y = 30/2 = 15
x = 25 - y = 25 - 15 = 10
A. The number of multiple-choice questions plus the number of short-answer questions is 25.
Answer:
y = (-5/4)x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b
m is the slope and b is the y-intercept
To find m, we can use the plotted points on the graph
(0,5)(4,0)
Now, do delta y/ delta x
(0-5)/(4-0)
slope = -5/4
Now, the y-intercept is the point where the graph crosses the y-axis
This point is where x is 0. Here, when x is 0, y is 5.
Therefore, the y-intercept is 5
Finally, replace what you've found into the equation
y = (-5/4)x + 5
Yes it is a square number
Just replace X with the given value.
X = -3
f(-3) = 5 - (-3)
f(-3) = 5 +3
f(-3) = 8
