The weight in fourth grade was 75 pounds.
A percentage is a value that indicates hundredth part of any quantity.
To convert percentage into a fraction it is divided by 100.
Given that,
The present weight of the sixth grader is 90 pounds,
And, the percentage of present weight with respect to fourth grade is 120%.
Suppose his weight in fourth grade was x pounds.
Now, the given problem can be written in the form of expression as below,
120% of x = 90
⇒ (120 / 100) × x = 90
⇒ x = 90 × (100 / 120)
⇒ x = 90 × (5 / 6)
⇒ x = 75
Hence, the weight of the sixth grader in fourth grade was 75 pounds.
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Answer:
Step-by-step explanation:
step 1
Find the equation of the first inequality
Find the equation of the first solid line
we have the ordered pairs
(0,-2) and (2,0)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
The equation in slope intercept form is equal to
we have
---> the y-intercept is given
substitute
Remember that
Everything to the left of the solid line is shaded
so
The inequality is
step 2
Find the equation of the second inequality
Find the equation of the second dashed line
we have the ordered pairs
(0,2) and (4,0)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
The equation in slope intercept form is equal to
we have
---> the y-intercept is given
substitute
Remember that
Everything below and to the left of the line is shaded
so
The inequality is
Rewrite
Multiply by 2 both sides
therefore
The system of inequalities is
see the attached figure to better understand the problem
Answer:
17 1st option
35 2nd option
Step-by-step explanation:
x = -9
Answer:
a. x - intercept = (-9, 0)
No, y-intercept
Step-by-step explanation:
Since equation of line is x = - 9,
If we draw a graph of it, we will find that line will go parallel to y-axis intersecting x-axis at (- 9, 0).
Hence,
x - intercept = (-9, 0)
No, y-intercept
is the correct answer.
Answer:
a
Step-by-step explanation:
No y-intercept
X-intercept is (-9,0)