Answer:
y=5x+7
Step-by-step explanation:
y-y₁=m(x-x₁) will be our starting equation
Now input (-2, -3) and 5 as our slope because a parallel line has the same slope.
y-(-3)=5(x-(-2)) Input
y+3=5(x+2) Simplify
y+3=5x+10 Distribute 5 into the parenthesis
y=5x+7 Subtract 3 from both sides
Answer:
A. 1
Step-by-step explanation:
8 - 5x = 6 - 3x
-5x + 3x = 6 - 8
-2x = -2
divide through by -2
x = 1
Answer:
The interest earned is $421.2.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this question:
So
The interest earned is $421.2.
Answer: 4 walls
Step-by-step explanation: We know that Ms. O'Grady has approximately 6 1/8 gallons of paint, and needs 1 2/5 gallons per wall she paints. Key words like "per" and "each" tells us that we need to divide these two numbers. However, we run into one problem: the two fractions have 2 different denominators (the number on the bottom of the line) But don't fret! There is an easy fix to this: Multiply the fractions so they match.
In order to do this, we need to find the least common multiple of the numbers 8 and 5. A simple way of doing this is muliplying the numbers together: 8x5=40. Therefore, we need to change our fractions so both denominators equal 40.
1/8 x 5/5 = 5/40
2/5 x 8/8 = 16/40
Now that we have our fractions writen in much simpler terms, we need to add the coefficients to them.
6 + 5/40 = 245/40
1 + 16/40 = 56/40
Now, we divide 245 by 56, which gets us 4 15/40, which can be simplified to 4 3/8. However, Ms. O'Grady can only paint 4 ENTIRE walls. The 3/8 does not matter in this scenario because she can only paint 3/8 of the wall. Therefore, your answer is 4. I hope this helps. :)
Arrange the data set in ascending order:
State A: 4, 5, 6, 6, 7, 8, 9, 21, 25
State B: 10, 11, 12, 13, 14, 14, 15, 15, 16
5 number summary:
State A State B
minimum 4 10
Q1 5.5 11.5
median 7 14
Q3 15 15
maximum 25 16
IQR 9.5 3.5
The box plot are not symmetric. The distance of the median from each Q1 and Q3 should be equal for the box plot to be symmetric.