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12345 [234]
3 years ago
7

At a table Tennis tournament, two games went on for a total of 32 minutes long. One game took 12 minutes longer than the other.

How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0
The answer is 44 minutes
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colored markers cost 78 cents each Pablo has 21.62 dollars in his pocket how many markers can Pablo buy
USPshnik [31]

Answer:

he can buy 30

Step-by-step explanation:

21.62 divided by .78 = 30.0277777778,you dont have enough for 31

6 0
3 years ago
If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor
choli [55]
Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

P(A or B) = P(A) + P(B)

All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

P(1 or 17) = P(1)/18 + P(1)/18

P(1 or 17) = 2/18

Since 17 is prime, it’s two and only factors are 1 and 17. The probability of randomly choosing a 1 or 17 is 2/18, meaning that there are 2 elements in the set out of a possible 18 elements that can be randomly chosen.

2/18 simplifies to 1/9


So, your answer is 1/9
5 0
1 year ago
What changes would you make in your description of point, line, and plane?
weeeeeb [17]

Answer:

Here's a quick sketch of how to calculate the distance from a point P=(x1,y1,z1)

P

=

(

x

1

,

y

1

,

z

1

)

to a plane determined by normal vector N=(A,B,C)

N

=

(

A

,

B

,

C

)

and point Q=(x0,y0,z0)

Q

=

(

x

0

,

y

0

,

z

0

)

. The equation for the plane determined by N

N

and Q

Q

is A(x−x0)+B(y−y0)+C(z−z0)=0

A

(

x

−

x

0

)

+

B

(

y

−

y

0

)

+

C

(

z

−

z

0

)

=

0

, which we could write as Ax+By+Cz+D=0

A

x

+

B

y

+

C

z

+

D

=

0

, where D=−Ax0−By0−Cz0

D

=

−

A

x

0

−

B

y

0

−

C

z

0

.

This applet demonstrates the setup of the problem and the method we will use to derive a formula for the distance from the plane to the point P

P

.

Step-by-step explanation:

5 0
2 years ago
At Shannon's Beading Boutique, 6 out of the 20 beads on clearance are plastic. What percentage of beads on clearance are plastic
yKpoI14uk [10]

Answer:

  30%

Step-by-step explanation:

(plastic beads)/(beads on clearance) = 6/20 = 30/100 = 30%

_____

A percentage is a representation of a fraction that has 100 as a denominator. The percent sign (%) is just a shorthand way to write "divided by 100" (/100). The word "percent" means "per hundred", or "divided by 100."

Here, the given fraction (6/20) can be multiplied by 5/5 to make it have a denominator of 100.

3 0
2 years ago
Read 2 more answers
Complete the area model to identify the quadratic expression it represents.
Alex787 [66]
15x^2 + 12x +10x + 8= 0  reduced 15x^2 +22x+ 8 = 0
3 0
3 years ago
Read 2 more answers
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