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m_a_m_a [10]
2 years ago
11

Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than times the number of cards

Bill has. Calvin has 1 more than times the number of cards Bill has.
If Alan and Calvin have the same number of cards, the number of cards Bill has is
. The number of cards Alan and Calvin each have is
.

If Alan, Bill, and Calvin have all the cards in the deck, then the deck has
cards.
Mathematics
1 answer:
Mama L [17]2 years ago
8 0
<span> a=2.5b-11, c=1.5b+1, and a=c so

2.5b-11=1.5b+1

b=12 so a=19 and c=19

so a+b+c=50 </span>
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PT=7x-24 and TQ=6x-2, Find PT.
Nastasia [14]
We can't find what PT exactly is because we don't know TQ or x.  However, we can find PT in terms of TQ!

Multiply the second equation by seven sixths to get:

\frac{7TQ}{6}=7x- \frac{7}{3}

Subtract \frac{65}{3} from both sides to get:

\frac{7TQ}{6}- \frac{65}{3}=7x-24

Substituting PT for 7x-24, we see that:

PT= \frac{7TQ}{6} - \frac{65}{3}, which is our answer.
4 0
2 years ago
Aileen can read 1.5 pages for every page her friend can read. Aileen's mom was very excited and she said to Aileen: "So, if your
dalvyx [7]

No, Aileen's mom is incorrect. Aileen can read 30 pages in the same time period as her friend reads 20 pages.

To get this answer, you multiply 20 by 1.5

20 x 1.5 = 30

8 0
2 years ago
Read 2 more answers
M&amp;M plain candies come in various colors. According to the M&amp;M/Mars Department of Consumer Affairs, the distribution of
UkoKoshka [18]
Since the Σ( of all colors )= 100%,  OR 1, then:

a) P(GREEN ∪ BLUEU) = P(G) + P(BL) = 8%+6% = 14% or 0.14

Since we have to choose ONE candy and only ONE candy at random, then tey are mutually exclusive: No. Choosing a green and blue M&M is possible

b) P(YELLOW ∪ RED) = P(Y) + P(R) = 18%+18% = 36% or 0.36
SAME ANSWER AS BEFORE: mutually exclusive

c) P(NOT PURPLE), Let's calculate 1st, the probability of having a PURPLE:
P(PURPLE) = 21% or 0.21
And the Probability of NOT having a PURPLE is 1-0.21 = 0.79
8 0
2 years ago
In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in. What is the length of line segment MX? 6 in. 7 in.
nataly862011 [7]

Answer:

Using the charasteristics of a parallelogram, the length of line segment MX is 8 in (Third option).

Step-by-step explanation:

In parallelogram WXYZ:

WY=12 in., this is a diagonal in the parallelogram

XZ=16 in., this is the other diagonal in the parallelogram

WX=10 in., this is one of the sides of the parallelogram

XY=9 in., this is the other side of the parallelogram

MX=? this segment is between the vertex X and the point of intersection of the diagonals

In a parallelogram the diagonals intersect (point M) dividing them in equal parts each other, then:

MX=MZ=XZ/2

MX=MZ=(16 in.)/2

MX=MZ=8 in.

 

8 0
2 years ago
Read 2 more answers
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options. m = Sta
marishachu [46]

Answer:

1)  m = negative StartFraction 10 over 4 EndFraction

2) m = negative five-halves

3) m = -\frac{7}{4} - \frac{3}{4}

Step-by-step explanation:

<u>The given equation is:</u>

=> \frac{3}{4} +m = -\frac{7}{4}

Subtracting 3/4 to both sides

=> m = -\frac{7}{4} - \frac{3}{4}

=> m = \frac{-10}{4}

=> m = -\frac{5}{2}

5 0
2 years ago
Read 2 more answers
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