Answer:
- 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = 
= 
= 5
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= -
584 is the total number of students in the school.
5/8 are in seventh grade and 3/8 are in eighth grade.
4/5 of the seventh graders participated in the track meet, so there were (4/5 · 5/8) · 584 students in the seventh grade participating in the track meet.
7/8 of the eighth graders participated, so there were (7/8 · 3/8) · 584 students in the eighth grade participating in the track meet.
So, all together, there were
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 students from the school in the track meet.
Let's simplify as you asked:
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 = [(4/5 · 5/8) + (7/8 · 3/8)] · 584 (distributive property - factoring)
= [20/40 + 21/64] · 584 (multiply fractions)
= (1/2 + 21/64) 584 (reduce the first fraction to lowest terms)
= (32/64 + 21/64) 584 (getting a common denominator)
= (53/64) 584 (combine/add the two fractions)
= 483.625 (multiply together)
All together, there were: 483.625 students in the meet.
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
4x - 5 - 2x = x - 5
Step 2: Solve for <em>x</em>
- Combine like terms: 2x - 5 = x - 5
- Subtract x on both sides: x - 5 = -5
- Add 5 to both sides: x = 0
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
4(0) - 5 - 2(0) = 0 - 5
0 - 5 - 0 = -5
-5 = -5
Answer:
o,-3 and 1.5,0
Step-by-step explanation:
You can find a calculator on a website called Desmos that might help answer related questions.
remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so
to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is
So the order is 10^-3
