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schepotkina [342]
3 years ago
7

what is the least whole number that has the remainders 10,12, and 15 when divided by 16, 18. and 21, respectively

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

1002

Step-by-step explanation:

First find difference between the divisors and remainders.

16-10=6\\18-12=6\\21-15=6

Here, the difference between the divisors and remainders is equal.

So, the required number is equal to LCM of (16,18,21)-6

16=2^4\\18=2(3^2)\\21=3(7)

LCM of (16,18,21)=2^4(3^2)(7)=1008

Required Number =1008-6=1002

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A what is an equation stating that two ratios or rates are equal
frozen [14]
The equation is
(A ≠ B)
A is the first number, ratio, rate, etc. , and B is the second.
The ≠ symbol means "does not equal", so the equation means:
[ Ratio A  is NOT equal to  Ratio B. ]



8 0
3 years ago
Which of the following is the solution for 7 - 4x ≥ 35 ?
melamori03 [73]
There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.

7 - 4x ≥ 35
subtract 7 from both sides

-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative

x ≤ -7

CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35

ANSWER: x ≤ -7

Hope this helps! :)
7 0
4 years ago
the average temperature at the south pole is -49.62and the average temperature at north pole is -34.68. how much higher is the a
Alecsey [184]
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7 0
3 years ago
"Which of the following are continuous functions? (Select all that apply.)
Natasha2012 [34]

Answer:

  □ The temperature at a specific location as a function of time.

  □ The temperature at a specific time as a function of the distance due west from New York City.

  □ The altitude above sea level as a function of the distance due west from New York City.

Step-by-step explanation:

Temperature tends to vary continuously over distance and time.

Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.

Taxi charges tend to increment according to a rate schedule. That is, for each passing minute or fraction of a mile, the amount due jumps to a new value. We'd have to say those are discontinuous.

The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.

8 0
4 years ago
The number of patients treated at Dr. Frank's dentist office each day was recorded for seven days: 8, 14, 12, 17, 4, 6, 2. Using
AnnZ [28]

8, 14, 12, 17, 4, 6, 2

Mean = average = (8+ 14 + 12 + 17 + 4 + 6 + 2) / 63 = 63/7 = 9

Answer

Mean = 9

6 0
3 years ago
Read 2 more answers
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