69 and 83 hundredths
69.83 is the answer
Slope intercept form is y=mx+b where m is the slope and b is the y part of an intercept where x is 0. So the equation for slope (y1-y2)/(x1-x2) with y1 and y2 the y values of 2 points and x1 and x2 those points' x values, so if you would use the points (-2,0) and (0,5) (I used intercepts because they are easier, but you can use any points on the line) you would get (0-5)/(-2-0) and then 5/2 for the slope. plugging in then you get y=5/2*x+5
Answer:
John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
Step-by-step explanation:
Let the number of grams of the 30% solution = x
Let the number of grams of the 60% solution = y
John needs 20 grams of 54% acid solution for his science project.
Hence,
x + y = 20 grams..... Equation 1
x = 20 - y
His school's science lab has bottles of 30% solution and bottles of 60% solution.
30% × x + 60% × y = 54% × 20
0.3x + 0.6y = 10.8......Equation 2
We substitute 20 - y for x in Equation 2
0.3(20 - y) + 0.6y = 10.8
6 - 0.3y + 0.6y = 10.8
- 0.3y + 0.6y = 10.8 - 6
0.3y = 4.8
y = 4.8/3
y = 16 grams
x = 20 - y
x = 20 - 16
x = 4 grams
Therefore, John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
<span>3x + 2x = 90 {the two angles add up to 90°}
5x = 90 {combined like terms}
x = 18 {divided both sides by 5}
angle 1 = 3x
= 3(18) {substituted 18, in for x, into 3x}
</span><span>= 54° </span><span>angles add up to 90°
angle 1 = 3x
angle 2 = 2x
</span>
The volume of sphere in terms of 
is 288 cubic inches, if the sphere has a radius of 6 inches.
Step-by-step explanation:
The given is,
A sphere has a radius of 6 inches
Step:1
Formula for volume of sphere is,
...........................(1)
where, r - radius of sphere
From given,
r - 6 inches
Equation (1) becomes,
= 
( ∵ 
= 6×6×6 =216 )
= 
( The volume of the sphere in terms of π, So keep the value of )
= 288
= 288 Cubic inches
Volume of sphere, V = 288 Cubic inches
Result:
The volume of sphere in terms of is 288 cubic inches, if the sphere has a radius of 6 inches.
