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Trava [24]
3 years ago
7

What number nearest to 100,000 is exactly divisible by 2, 3, 4, 5, 6 and 7?

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0
First find the numbers with the factors of:
2,3,4,5,6,7
find the minum
if something has a factor of 6 then it also has a factor of 3 and 2 so just multiply by  the lcm of all of them which is found by
2=2
3=3
4=2 times 2
5=5
6=2 times 3
7=7

LCM=2 times 2 times 3 times 5 times 7=420

now divide 100000 by 420 and round down
100000/420=238.095=238.1 round doen 238

multiply 420 by 238 and get 99960

that is the answer 99960
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The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?
Setler [38]
Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31
7 0
3 years ago
which rule would apply to the expression w^2w^3. A.addition rule. B.power rule. C.distributive rule. D.quotient to difference ru
Free_Kalibri [48]
"Power rule" is the one rule among the following choices given in the question that <span>would apply to the expression w^2w^3. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has actually come to your desired help.</span>
4 0
3 years ago
Tyler can shovel the driveway in 2 hours Dakota can complete the job in 90 minutes if they work together how long will it take
topjm [15]
One JOB = 1  and 2 hours = 120 min

Tyler Rate per minute: 1/120 (in 1 minute he performes 1/120 of the job)
Dakota<span> Rate per minute: 1/90 (in 1 minute he performes 1/90 of the job)

Tyler's + Dakota's rate per 1 minute = 1/120 + 1/90  = 7/360 (Job/minutes)

7/360 of the job was performed in 1 minute
</span>a complete JOB =1 to be performed in x minutes (Rule of three)

x = 1x1/(7/360) that equals to 360/7 and x (time of both) = 51 min 42

5 0
3 years ago
Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​ width, the lower class​ limits,
Gennadij [26K]

Using proportions and the information given, it is found that:

  • The class width is of 14.375.
  • The lower class limits are: {19, 33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625}.
  • The upper class limits are: {33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625, 134}.

-------------------------

  • Minimum value is 19.
  • Maximum value is of 134.
  • There are 8 classes.
  • The classes are all of equal width, thus the width is of:

W = \frac{134 - 19}{8} = 14.375

-------------------------

The intervals will be of:

19 - 33.375

33.375 - 47.750

47.750 - 62.125

62.125 - 76.500

76.500 - 90.875

90.875 - 105.250

105.250 - 119.625

119.625 - 134.

  • The lower class limits are: {19, 33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625}.
  • The upper class limits are: {33.375, 47.750, 62.125, 76.500, 90.875, 105.250, 119.625, 134}.

A similar problem is given at brainly.com/question/16631975

6 0
3 years ago
HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS
aev [14]

Answer:

A: 360

Step-by-step explanation:

Split the trapezoid into 2 shapes

Then find the area of the rectangle on the left:

18 × 15 = 270 square yards

Now for the triangle, first find the base by subtracting the 2 parallel lines:

25 - 15 = 10 yards

0.5(10 × 18) = 90 square yards

Add both areas to find total area:

270 + 90 = 360 square yards

All this can be seen in the figure below:

6 0
3 years ago
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