Mary and her brother John collect foreign coins. Mary has three times the number of coins that John has. Together they have 140 foreign coins.

Answers

Answer 1

Answer: Mary has 3x coins, John has x coins,
x+3x=140.
4x=140
x=140/4
x=35

John has 35 coins and Mary has 105 coins.

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A drawer contains 3 tan sweaters and two black sweaters. You randomly choose two sweaters. What is the probability that both sweaters are black?

Answers

A = event that you select a black sweater
P(A) = 2/5 since there are 2 black out of 2+3 = 5 total

After you make a selection, we have the event
B = event that you select another black sweater assuming event A has happened already

P(B) = 1/4 because there's 1 black sweater left out of 5-1 = 4 left over

Multiply the probabilities
P(A and B) = P(A)*P(B)
P(A and B) = (2/5)*(1/4)
P(A and B) = 2/20
P(A and B) = 1/10

The answer as a fraction is 1/10
In decimal form, it is 0.1
As a percent, the answer is 10%

Please what is the answer of number 1

Answers

Answer:

-80

Step-by-step explanation:

First you multiply both sides of the equation by 5 to get rid of the fraction, it becomes Y + 30 = -50.

To get rid of the 30 you subtract 30 from each side and that makes it Y = -80.

Your answer does not want the Y=, so your answer is -80.

If this helps, please mark it Brainliest :)

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = 6 sin x, y = 6 cos x, 0 ≤ x ≤ π/4; about y = −1

Answers

hmm well, here an example y=3 ,

y=3 , rather than the x− x− axis.) Your integrand looks fine and reduces to

(9−18sinx+9sin2x) − (9−18cosx+9cos2x) (9−18sin⁡x+9sin2⁡x) − (9−18cos⁡x+9cos2⁡x)

= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .= 18 (cos⁡x−sin⁡x) + 9 (sin2⁡x−cos2⁡x) = 18 (cos⁡x−sin⁡x) − 9 cos⁡2x .

The evaluation of the volume is then

π [ 18 (sinx+cosx) − 92sin2x ]π/40π [ 18 (sin⁡x+cos⁡x) − 92sin⁡2x ]0π/4

= π ( [ 18 ( 2–√2+2–√2) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( [ 18 ( 22+22) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] )

= π ( 182–√ − 92 − 18 ) = π ( 182–√ − 452 ) or 9π2 ( 42–√ − 5 ) ,

24 1/2 is equal to what decimal

Answers

Answer:

24.5

Step-by-step explanation:

24 = 24

1/2 -->

convert to a decimal => 1 divided by 2

0.5

24+0.5 = 24.5

Hope this helps!

a softball league has 13 teams, if every team must play every other team in the first round of league play, how many games must be scheduled

Answers

Answer:

78 games

Step-by-step explanation:

Think of it this way. Let's name the teams Team 1 through Team 13. Team 1 needs to have 12 games to play each other team. Once those are scheduled, Team 2 needs to have 11 games scheduled to play all the other teams (remember their game against Team 1 was already scheduled). Team 3 needs to have 10 games scheduled to play all the other teams (remember their games against Team 1 and Team 2 have already been scheduled). This patten continues until you schedule a single game between Team 12 and Team 13. So the total number of games that need to be scheduled are:

12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78

I don't know if the concept of triangular numbers has been touched on in your class, but if so, there is a much simpler way to calculate this using the triangular number formula with n = 12. The formula is:

T = (n * (n + 1)) / 2

So in this case:

(12 * (12 + 1)) / 2 = (12 * 13) / 2 = 6 * 13 = 78

Solve the inequality for x. –8x + 16 > –72

Answers

Answer:

x>11

Step-by-step explanation:

x needs to be alone so subtract 16 on both sides, making the equation -8x > -88, next simply make x positive amd alone by dividing -8 on both sides, ending in the result of × > 11

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