A printer prints an average of 200 1/2 pages per hour approximately how many pages did it print in an 8 hour period

Mathematics

1 answer:

Vika [28.1K]2 years ago

7 0

Answer:

1,604 pages

Step-by-step explanation:

Let’s make a proportion

The printer prints 200 1/2, or 200.5 pages per hour, and prints x pages per 8 hours

200.5/1=x/8

Cross multiply

1*x=200.5*8

x= 1604

So, the printer prints 1,604 pages in & hours

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Match the values associated with this data set to their correct descriptions

nordsb [41]

Put the numbers in order
6,7,15,36,41,43,47,49

Q1 = (7 + 15) / 2 = 22/2 = 11 <== first quartile
Q2 = (36 + 41) / 2 = 77/2 = 38.5 <== median
Q3 = (43 + 47) / 2 = 90/2 = 45 <== third quartile

difference of largest value and median.....(49 - 38.5) = 10.5

5 0

2 years ago

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A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modele

tresset_1 [31]

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Step-by-step explanation:

$\text{The equation for ball height} : 6+30\cdot t-16\cdot t^{2}\\\text{The equation for shot blocker's height} : 9+25\cdot t-16\cdot t^{2}$

But, the shot is made before two tenths of a second or 0.2 seconds therefore modified equation for ball height is :

$6+30\cdot (t-0.2)-16\cdot (t-0.2)^{2}$

Now for the shot to be blocked,the height of shot blocker must be greater than the height of the ball which is shot before 0.2 seconds :

$\implies 9+25\cdot t-16\cdot t^{2}\geq 6+30\cdot (t-0.2)-16\cdot (t-0.2)^{2}\\\implies 9+25\cdot t-16\cdot t^{2}\geq 6+30\cdot t-6-16\cdot (t^{2}-0.4\cdot t+0.04)\\\implies9+25\cdot t-16\cdot t^{2}\geq 30\cdot t-16\cdot t^{2}+6.4\cdot t-0.64\\\implies 9+25\cdot t\geq 36.4\cdot t-0.64\\\implies 9.64\geq 11.4\cdot t\\\\\implies t\leq \frac{9.64}{11.4}\approx 0.846$