Answer: 2 hr.
Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.
None of the answers are correct
(x+3)^2 + 10 first you factor out the (x+3)
(x+3)(x+3) + 10
x^2 + 6x + 9 +10 simplify
x^2 + 6x + 19
Answer:
k = 1/2
y = -108
Step-by-step explanation:
y varies jointly as x and the cube of z
y =kxz^3
We know y=16 when x=4 and z=2 so we can determine k
16 = k (4) 2^3
16 = k*4*8
16 = 32k
Divide each side by 32
16/32 = 32k/32
1/2 = k
y = 1/2 xz^3
Now y=? when x=-8 and z=-3
y = 1/2 * 8 (-3)^3
y = (1/2) *8 (-27)
y =4 (-27)
y = -108
H= 4 because volume of a prism is V=Bh and V=96 and B = 24 so it would be left as 96=24h
So in order to find h we have to divide 24 by each number to find h alone so 24 divided by 24 equals 0 and 96 divided by 24 equals 4 so your answer is 4. Also, if you put the equation together after you find 4 you will see it all adds up. 96=24(4) which is correct
