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blagie [28]
3 years ago
15

During a food drive, a local middle school collected 8,982 canned food items. Each of the 28 classrooms that participated in the

drive donated about the same number of items each classroom donated.
Mathematics
2 answers:
JulijaS [17]3 years ago
6 0
8982 / 28 = 320.78

so each of the class rooms donated ABOUT 321 cans


Nadusha1986 [10]3 years ago
3 0
Each classroom donated around 320 cans(or more) of food.

320x28=8,960.
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Suppose that a cyclist began a 374 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
kherson [118]
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0
3 years ago
Find angles b,c and d
Mazyrski [523]

Answer:

B = 73°, c = 107°, d= 107°

Step-by-step explanation:

b + 107 \degree = 180 \degree..(straight \: line \:  \angle s) \\ b = 180 \degree - 107 \degree \\  \huge \red{ \boxed{b = 73 \degree}} \\  \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \:  \angle s) \\  \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \:  \angle s) \\  \\

8 0
3 years ago
Cards are drawn, one at a time, from a standard deck; each card is replaced before the next one is drawn. Let X be the number of
steposvetlana [31]

Cards are drawn, one at a time, from a standard deck; each card is replaced before the next one is drawn. Let X be the number of draws necessary to get an ace. Find E(X) is given in the following way

Step-by-step explanation:

  • From a standard deck of cards, one card is drawn. What is the probability that the card is black and a jack? P(Black and Jack)  P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26
  • A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen or an ace.

P(Q or A) = P(Q) = 4/52 or 1/13 + P(A) = 4/52 or 1/13 = 1/13 + 1/13 = 2/13

  • WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the  probability that they will both be aces?

P(AA) = (4/52)(3/51) = 1/221.

  • WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a  king?

P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been  removed.

  • WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick  a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the

probability of drawing the first queen which is 4/52.

  • The probability of drawing the second queen is also  4/52 and the third is 4/52.
  • We multiply these three individual probabilities together to get P(QQQ) =
  • P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .00004 which is very small but not impossible.
  • Probability of getting a royal flush = P(10 and Jack and Queen and King and Ace of the same suit)
5 0
2 years ago
Find the value of x ?<br><br> A)67<br><br> B)113<br><br> C)77<br><br> D)57
lana [24]

Answer:

<h2>A) 67</h2>

Step-by-step explanation:

The sum of the angles measures at one side of the parallelogram is 180°.

Therefore we have the equation:

x + 113 = 180             <em>subtract 113 from both sides</em>

x + 113 - 113 = 180 - 113

x = 67

3 0
3 years ago
Picture provided help!
weqwewe [10]

Answer:

A -60i - 14j

Step-by-step explanation:

u = -9i + 8j

v = 7i + 5j

2u = 2(-9i + 8j) = -18i + 16j

6v = 6(7i + 5j) = 42i + 30j

2u - 6v

(-18i + 16j) - (42i + 30j)

(-18i - 42i) + (16j-30j)

-60i - 14j

5 0
3 years ago
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