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frez [133]
1 year ago
8

The copy machine in the teacher’s lounge can print 3 single-sided pages in 16 seconds. Mr. Adams has 25 students in his class, a

nd has to give three one-page quizzes on Friday. How long will it take the machine to print all of Mr. Adams’ copies if he needs to print one copy of each quiz for every student?
Mathematics
2 answers:
kipiarov [429]1 year ago
8 0

Answer:

150 seconds

Step-by-step explanation:

lana66690 [7]1 year ago
6 0

Answer: 150 seconds

Step-by-step explanation: Multiple the amount of students tot he amount of time it takes to print out three pages.

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Point C(3.6, -0.4) divides AB in the ratio 3:2. If the coordinates of A are (-6, 5), the coordinates of point B are ___. If poin
kari74 [83]
When a point divides a line segment into ratios of k1:k2, the formula to find the coordiates of the point is:
x=(k2*x1+k1*x2)/(k1+k2), y=(k2*y1+k1*y2)/(k1+k2), 
(x1,y1) being the coordinates of the starting point, and (x2,y2) coordinates of the end point. 
in this case, 3.6=[2*(-6)+3x2]/5
-12+3x2=18
3x2=30
x2=10

use the same method to find y2: -0.4=(2*5+3y2)/5
3y2=-12
y2=-4
so the the coordinates of B is (10,-4)

use the same method to find the coordinates of D.

the answer I've got for D is (58/9, -2) please double check my calculation.
4 0
2 years ago
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Lisa invests $4,000 in two types of bonds, bond A and bond B. Bond A offers a 10% return, and bond B offers a 6% return. Lisa in
ss7ja [257]
X+y=4000....(1)
10x+6y=340*100⇒5x+3y=17000......(2)

(2)- 3*(1)⇒ 2x=5000⇒x=2500,y=4000-2500=1500
7 0
2 years ago
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Store A advertises a sale for 3 loves of bread for $5.94. Explain how to use an equivalent rate to find the unit price of the br
tatyana61 [14]

Hello,

To find the Unit Price of the loaves of bread just divide the cost by the amount of loaves it costed.

5.94 / 3 = $1.98

Each loaf (Unit Price) costs $1.98!

5 0
2 years ago
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Show a way to count from 170 to 410 using tens and hundreds. circle at least 1 benchmark number
Anastasy [175]
Benchmark are numbers that are used as standards to which the rest of the data is compared to. When counting numbers using a number line, the benchmark numbers are the intervals written on the axis. For benchmark numbers of 10, the number line on top of the attached picture is shown. Starting from 170, the tick marks are added by 10, such that the next numbers are 180, 190, 200, and so on and so forth. When you want to find 410, just find the benchmark number 410.

The same applies to benchmark numbers in intervals of 100. If you want to find 170, used the benchmark numbers 100 and 200. Then, you estimate at which point represents 170. For 410, you base on the benchmark numbers 400 and 500.

6 0
2 years ago
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The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
7 0
2 years ago
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