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Sliva [168]
3 years ago
14

In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home

runs. How many home runs did each player hit that season? Let h represent Alice's home runs.
Mathematics
1 answer:
saw5 [17]3 years ago
7 0
Below is the solution:

There are two equations to be solved here.  The first one we assign variables to the home runs Peter hits, P, and Alice hits, A. P=2*(A-6) The second equation is the sum of both players home runs.P + A = 18Solving for P yieldsP=18-A We substitute the solution for P into the first equation and solve for A.(18-A) = 2*(A-6)18 - A = 2A - 123A = 30A = 10 Now that A is known, we can plug it into either equations for P to find how many home runs Peter hitsP=18 - (10) = 8orP=2((10)-4) = 8
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Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

cost_1(x) = 0.5*x

For the second option we have:

cost_2(x) = 5000 + 0.1*x

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

cost_1(60000) = 0.5*60000 = 30000

cost_2(60000) = 5000 + 60000*0.1 = 11000

The second option will cost her less than the first one.

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3 years ago
9u²v and which term are like terms?
MaRussiya [10]
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4 0
3 years ago
I need help please and thank you
andrew-mc [135]

Answer:

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So 2*(12*9 + 9*4 + 4*12)

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3 0
3 years ago
Read 2 more answers
Chris bought six pounds of apples for 10.80. How much would 15 pounds of apples cost at the same price per pound?
muminat

Answer:

$27

Step-by-step explanation:

10.80/6=1.8

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6 0
3 years ago
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Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 78%.
olganol [36]
The answer is:  "39 points" .
_______________________________________________________
Explanation:
_______________________________________________________
" x/ 50 = 78/100 " ;   in which "x" equals the number of points needed.

_______________________________________________________

To solve for "x" ; 
_______________________________________________________

Look at the denominators:  50 * (what value?) = 100.

→ "100 ÷ 50 = 2" .

→ So;  "50 * 2 = 100" ; 

So, let us look at the numerators:

x * 2 = 78 ; 

↔  2x = 72 ; 

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
_____________________________________________
 →  78 ÷ 2 = 39 ;

The answer is:  "39 points" .
_____________________________________________


4 0
3 years ago
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