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3 years ago

6231 rounded to the nearest thousand is. Enter your answer without commas.

1 answer:

4 0

Midpoint : 6500

Below midpoint (6000 - 6500) : 6000 to the nearest thousand

Past midpoint (6501 - 7000) : 7000 to the nearest thousand

Answer : 6000

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If two 12-sided dice are rolled, what is the probability that both numbers will be even?

geniusboy [140]

1/4 I think, I’m not sure

7 0

3 years ago

The sum of three numbers is 3068.Two of the numbers are 1266 and 1755,find the third number

ratelena [41]

Answer:

The third number is 47.

Step-by-step explanation:

The sum of three numbers is 3068 - this can be expressed mathematically as:

$\displaystyle{x + y + z = 3068}$

Given that two of the numbers are 1266 and 1755 (in order) then substitute x = 1266 and y = 1755:

$\displaystyle{1266 + 1755 + z = 3068}$

Find the third number - solve for z-variable:

$\displaystyle{3021 + z = 3068}\\\\\displaystyle{z = 3068-3021}\\\\\displaystyle{z = 47}$

Therefore, the third number is 47.

3 0

2 years ago

Read 2 more answers

Determine the equation of a line through the point (3,-4) that is perpendicular to the line y=3x+7

Lana71 [14]

Answer:

y = - $\frac{1}{3}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 7 is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$ , thus

y = - $\frac{1}{3}$ x + c ← is the partial equation of the perpendicular line

To find c substitute (3, - 4) into the partial equation

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

y = - $\frac{1}{3}$ x - 3 ← equation of perpendicular line

7 0

3 years ago

2. In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students

Alja [10]

Answer:

60 students are involved in either band or sports.

95 students are not involved in either sports or band.

Step-by-step explanation:

Given:

In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities.

Now, to find the students are involved in either sports or band. And students who are not involved in either sports or band.

Total number of students = 320.

Number of students in the band = 85.

Number of students in the sports team = 200.

Number of students participate in both activities = 60.

Thus, 60 students are involved in either band or sports.

So, the number of students in the band adding number of students in the sports team we get:

200 + 85 = 285.

Then, to subtract the number of students participate in both activities we get:

285 - 60 = 225.

Thus, the remaining students are = 225.

Now, to get the students who are not involved in either sports or band we subtract the total number of students from the remaining students:

$320-225$

$=95.$

Therefore, 60 students are not involved in either band or sports. 95 students are not involved in either sports or band.

8 0

3 years ago

List these numbers from least to greatest: -1 2/5, 0, -2.3, 3/4, and -1 9/10

kap26 [50]

Answer:

-2.3, -1 9/10, -1 2/5, 0, 3/4.

Step-by-step explanation:

First thing we need to do is express all of the fractions and the decimal in the same unit.

Let's turn the decimal into a fraction.

-2.3 = -2 3/10. The 3 is in the tenths place, so that means 3 over 10 or 3/10. The 2 is in the ones place so we get the 2 as a whole number.

Okay, now we need to express the fractions with the same denominator. You MUST do this if you are going to compare fractions.

First,

let's turn all the mixed numbers into improper fractions.

-1 2/5 = -7/5

-2 3/10 = -23/10

-1 9/10 = -19/10.

The last 2 already have the same denominator of 10, so we'll just change the -7/5 to have a denominator of 10. 5 x 2 equals 10, so we MUST also multiply by the numerator by 2. Whatever is done to the denominator has to be done to the numerator as well.

5 x 2 = 10

7 x 2 = 14.

Now, here is what we have.

-14/10, 0, -23/10, 3/4, -19/10.

First, know that negative numbers are ALWAYS SMALLER than zero and ANY positive number.

And, with negative numbers, the number that looks "greater" is actually lesser. For example, -5 is greater than -3 because -3 is closer to 0.

So, let's compare the negative fractions.

-14/10, -23/10, -19/10.

Ignoring the (-) the one that *looks* greatest is 23 because it has the greatest number in the numerator, however, because this is negative numbers, it's actually the smallest.

Second "biggest" is -19/10 but again, this is negatives, so its actually second smallest.

The only number now is -14/10 so that's the next smallest.

0 is obviously less than 3/4 so 0 comes next. And lastly, 3/4 is the only number we have left! so, 3/4 is the greatest!

LEAST TO GREATEST:

-2.3, -1 9/10, -1 2/5, 0, 3/4.

6 0

3 years ago