Answer:
Step-by-step explanation:
y=−2x+5
m= -2
As required line is parallel to y=−2x+5, slope will be same for these two lines.
slope of required line = -2
m = - 2 ; (1, -4)
y - y₁ = m (x - x₁)
y - (-4) = -2 * (x - 1)
y + 4 = -2x + 2
2x - 2 + y +4= 0
2x + y + 2 =0
y = -2x -2
To determine this, we need to set up fractional proportions.
First, put 12.5% (what we're looking for) over 100%, which is the total (256).
12.5/100 should be your first fraction.
Now, put x over 256, x being 12.5% of 256.
x/256 should be your second fraction.
Now put these two fractions as an equation.
x/256 = 12.5/100
This may be where things get tricky if you don't pay attention.
Cross multiply the top number (numerator) of x/256 with the bottom number (denominator) of 12.5/100.
You should end up with 100x.
Now, cross multiply the top number of 12.5/100 with the bottom number of x/256.
You should end up with 3200.
Now our equation is:
100x = 3200
Divide both sides by 100 to get x.
100x/100 = x
3200/100 = 32
x = 32 is now your simplified equation.
Your final answer is:
32 is 12.5% of 256.
Also, since 12.5% is 1/8 of 100%, we can test our answer.
Multiply 32 by 8 to get 8/8 (100%).
32 x 8 = 256.
Your answer is 32.
I hope this helps!
The equation is: 27.46 = 1.95x + 2.50
The answer is 12.8
Answer:
18.326 inches
Step-by-step explanation:
The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing
, and we ge that θ is
so (
)(5)= 18.326 inches
Answer: The solution is,
or 
Step-by-step explanation:
Given compound inequality,
-8x + 14 ≥ 60 or -4x + 50 < 58,
By the subtraction property of inequality,
-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50 < 58 -50,
-8x ≥ 46 or -4x < 8
By the division property of inequality,
or 
Using property a > b ⇒ - a < -b,
or 