y + 11 = –2(x + 1.5)
y=mx+b
multiply the bracket by -2
(-2)(x)=-2x
(-2)(1.5)=-3
y+11=-2x-3
move +11 to the other side
sign changes from +11 to -11
y+11-11=-2x-3-11
y=-2x-14
m is also the slope
b= y-intercept
Answer:
y-intercept=-14
Okay, so the rate is 1 job / hours, so:
1/3 + 1/7 (This covers both their work rates) = 1/n (n represents the time it take for them to work together)
Get the LCD:
7/21+ 3/21 = 1/n
10/21 = 1/n
Cross multiply:
10n = 21
n = 2.1
It will take them 2.1 hours, or 2 hours and 6 minutes
Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Answer:
y= -3x + 150
Step-by-step explanation:
slope = -15/5
y-int = 150
Answer:
8.4
Step-by-step explanation:
50 ÷ 25 = 2
(2)2 x 7 x 0.3
4 x 2.1
= 8.4
