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bija089 [108]
3 years ago
7

In a championship basketball game, Paula Zimmerman scored twice as many points as Maria Kaminsky. If the total number of points

made by both women was 51, find how many points Paula scored.
Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

Answer:

x=34

y=17

Step-by-step explanation:

Let Paula's score be= x

Let Maria's score be=y

<u>Given</u><u>:</u>

x=2y

x+y=51

<u>Substitution</u><u>:</u>

2y+y=51

<u>Formula</u><u>:</u>

2y+y=51

3y=51

y=17

x=2y

x=2(17)

x=34

<u>Proof</u><u>:</u>

x+y=51

34+17=51

51=51

Hope this helps ;) ❤❤❤

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HELP ME PLEASEEEEE
AVprozaik [17]

Answer:  (x,y) = (-1, 1)

This means that x = -1 and y = 1

========================================================

Explanation:

The first equation says that y is the same as 2x+3

That allows us to substitute y for 2x+3 in the second equation like so:

2x+5y = 3

2x+5( y ) = 3

2x + 5(2x+3) = 3 .... y replaced with 2x+3

2x+10x+15 = 3

12x+15 = 3

12x = 3-15

12x = -12

x = -12/12

x = -1

Then we'll substitute this into the first equation to find y

y = 2x+3

y = 2(-1) + 3 .... x replaced with -1

y = -2+3

y = 1

Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)

If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.

3 0
3 years ago
You and your friend drive toward each other. The equation 50h=190−45h represents the number h of hours until you and your friend
Gala2k [10]

Answer:

The answer is 2 hours later.

Step-by-step explanation:

In order to find how many hours you and your friend meet, you have to solve the equation to find h :

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5 0
3 years ago
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frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-

z=\dfrac{x-\mu}{\sigma}    (1)

Given : \mu=90

\sigma=7

Daniel's z score : z= 1.67

Let x be the raw score for Daniel's exam grade, then substitute the values of \mu,\ \sigma\ and \ x in (1), we get

1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69

Hence, the raw score for Daniel's exam grade = 101.69

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You went to the mall with $80. You spent 25% of your money on a pair of shorts and 65% of the remainder on sandals. How much did
Lapatulllka [165]
He spent $52 on sandals. I got this by multiplying 65% by $80 and got $52.

In short answer $52 
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3 years ago
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