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mario62 [17]
3 years ago
10

In 5 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes. If both belts are​ used, find how long it takes to move the cans to the storage area.
Mathematics
1 answer:
Bess [88]3 years ago
3 0
It tells you in the question, 5 min for the larger conveyor belt and 6 for the smaller one, unless you are saying that it divides the weight equally then it would be half the time for both
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The left and right page numbers of an open book are two consecutive integers whose sum is 385. Find these page numbers.
Alona [7]
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers

So algebraically, consecutive integers follow the form x, x+1, x+2, etc...

Since the sum of two consecutive integers is 239, this means:

x%2Bx%2B1=239

2x%2B1=239 Combine like terms on the left side

2x=239-1Subtract 1 from both sides

2x=238 Combine like terms on the right side

x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x

x=119 Divide

So our first number is x=119

So to find the next number, simply add 1 to it to get 119%2B1=120

Answer: So our two page numbers are 119 and 120
6 0
3 years ago
The decimal expansion of all rationals will be
aleksklad [387]

Answer:

I'm pretty sure they either terminate after so many digits (end) or repeat a certain pattern of numbers.

Step-by-step explanation:

The first will look like this: 432.2340

The second would look like this: 324.234234234... ("234" would keep repeating over and over and over. And can be any sequence of #'s)

^Random numbers were used as examples^

5 0
3 years ago
Algebra identify the pattern. Then write the next three terms in each sequence. 63,58,53,48.....
vovikov84 [41]

Answer:43, 38, 33

Step-by-step explanation:

The pattern is subtracting 5

63 -5 = 58

58 - 5 = 53

53 - 5 = 48

48 - 5 = 43

43 - 5 = 38

38 - 5 = 33

8 0
3 years ago
Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0
3 years ago
Math questions plz help 10-11b
evablogger [386]
Question number 10 is the same as the previous questions add them up and make them equal to 180 degrees, and then solve for the x variable.

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6 0
3 years ago
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