Convert 7.0055 into a mixed number in simplest form?

Answers

Answer 1

Answer: $7.0055=7(55)/(10000)=7(11)/(2000)$

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Find three consecutive even integers such that the sum of the smallest to the largest 36

Answers

If they were all the same integer, then each one would be
1/3 of 36, and you would have

12 + 12 + 12 = 36 .

But you don't want them to all be the same number. You
want them to be three consecutive even numbers.

Fine ! Take 2 away from the first 12, and glue it onto the last 12 .
Their sum doesn't change, but now you have

10 + 12 + 14 = 36 .

First, I would set up an equation (assuming 36 is the sum of all 3 numbers).

x+(x+2)+(x+4)=36
3x+6=36
-6 -6
3x=30
--- ---
3 3
x=10

Now, we just plug in the numbers to find the consecutive integers
10+(10+2)+(10+4)
10+12+14

So your 3 consecutive even integers are 10,12 and 14

Mr. Cohen drives 84 2/10 miles on Tuesday, 84 6/10 on Wednesday, and 85 miles on Thursday. What is the rule of the distance he drives each day? Show how you can check your answer.

Answers

He drives an extra 4/10 miles you can check your work by adding 4

Answer:

He drives an extra 4/10 of a mile every day.

Step-by-step explanation:

Looking at our pattern, we see that to get from 84 2/10 to 84 6/10, we would add 4/10.

Similarly, to get from 84 6/10 to 85, we would add 4/10.

This means we add 4/10 of a mile every day.

To check, we can subtract:

85-84 6/10 = 4/10

84 6/10-84 2/10 = 4/10

Solve for x. x2 + 7x + 10 = 0

Answers

the answer is negative 80 or like this -80

What are the intercepts of 2x + 3y – 6z = 30?

Answers

Intercept of equation 2x + 3y - 6z = 30 is (15, 0, 0) , (0, 10, 0) and (0, 0, -5)

Solution:

Given equation is:

2x + 3y - 6z = 30

We have to find the intercepts

Intercept are the point where equations cut the x- axis, y- axis and z- axis.

Thus, at x- axis:

y and z both are zero

So substitute y = 0 and z = 0 in given equation

2x + 3(0) - 6(0) = 30

2x = 30

x = 15

Thus the intercept is (15, 0, 0)

Thus at y - axis:

x and z both are zero

So substitute x = 0 and z = 0 in given equation

2(0) + 3y -6(0) = 30

0 + 3y + 0 = 30

3y = 30

y = 10

Thus the intercept is (0, 10, 0)

Thus at z - axis:

x and y are both zero

So substitute x = 0 and y = 0 in given equation

2(0) + 3(0) - 6z = 30

-6z = 30

z = -5

Thus the intercept is (0, 0, -5)

Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)

Bobbys collection of sports cards has 3/10 baseball cards and 39/100 football cards.The rest are soccer cards.What faction of Bobbys sports cards are baseball or football cards?

Answers

3/10 can be changed to 30/100. 39 plus 30 is 69. 69% of the cards are baseball and football cards.

What is true about the sum of the measures of any two non-right angles in a right triangle?

Answers

The two non-right sides add to 90 degrees. 180 (Triangle's Total) - 90 (Right angle) = 90

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