Answer:
c
Step-by-step explanation:
i am 99.99% sure it is c
The consecutive even integers are 8, 10 and 12.
<h3>How to calculate the value?</h3>
Let the integers be x, x + 2, and x + 4.
Therefore, the equation will be:
6(x) = x + 2 + x + 4 + 26
6x = 2x + 32
Collect like term
6x - 2x = 32
4x = 32
Divide
x = 32/4.
x = 8
The numbers are 8, 10 and 12.
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1/4 of x is 6 ⇒ 1/4 x = 6
1/4 x = 6
<u>Multiply 4 on both sides:</u>
x = 24
Answer : x = 24
Answer:
3 Pages
Step-by-step explanation:
- Let the pages of economics read = e
- Let the pages of psychology read = p
- Let the total time taken on each instance=t
In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.
The student could read 30 pages of psychology and 70 pages of economics.
Since the two situations take the same amount of time, we have:
50p+10e=30p+70e
Collect like terms
50p-30p=70e-10e
20p=60e
Divide both sides by 20
p=3e
Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.
Remark
Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.
Solution
<em><u>Step One</u></em>
Find the slope of the new line
m1 = - 1/3
m2 = ??
m1 * m2 = - 1
(-1/3) * m2 = - 1
You could continue by changing (-1/3) to a decimal.
(-0.3333333333) * m2 = -1 Now divide by the decimal
m2 = - 1/ (-0.3333333333)
m2 = 3 which is what my calculator tells me the answer is.
<u>Step Two</u>
So far what you have is
y = 3x + b
Use the point (-3, -7) to get the y intercept.
-7 = 3(-3) + b
b - 9 = - 7
b = -7 + 9
b = 2
y = 3x + 2 Answer
Graph
The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.
The green dot is the point (-3 , - 7)
