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Aneli [31]
3 years ago
11

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:
shutvik [7]3 years ago
6 0
H = Alice's home runs
p = Peter's home runs

p = 2(h - 6)
p + h = 18

Simplified:
p = 2h - 12
p - 2h = -12

p + h = 18

Solve simultaneously:
p - 2h = -12                              ...1
p + h = 18                                ...2

1 - 2:
-3h = - 30
h = -30/-3
h = 10

Substitute into 2:
p + h = 18
p + 10 = 18
p = 18 - 10
p = 8

Therefore, Peter hit 8 home runs and Alice hit 10 homeruns.
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Paul,Linda,and Aaron make homemade cards. Paul can make 1 card for every 3 cards Linda makes. Linda can make 3 cards for every 2
dimaraw [331]

Answer:

Linda makes 72 more cards than Paul

during the week

Step-by-step explanation:

Here, we want to know how many cards Linda makes than Paul during the week.

We proceed as follows;

From the question;

If Paul makes 1 card, then Linda has made three

Now let’s get their relationship with Aaron;

If Aaron makes 2 cards , Linda has made three

Now since Aaron made 72 cards, Let’s say Linda has made x cards

Let’s get the value of x now

To get the value of x, we simply cross multiply;

2 - 3

72 - x

2 * x = 3 * 72

x = (3 * 72)/2 = 108 cards

Now recall , for every 3 cards of Linda, Paul made only 1;

So the number of cards Paul will make if Linda makes 108 will be 108/3 = 36

So the number of more cards that Linda makes than Paul during the week will be ; 108 -36 = 72 cards

3 0
4 years ago
Why are decimal that is 1/10 of 0 and 9.​
notka56 [123]

Answer:1/10 and 0/10

Step-by-step

8 0
3 years ago
A 3.00-g copper penny at 25.0°C drops from a height of50.0 m to the ground. (
Gnoma [55]
The potential energy, E, of the penny is given by E=mgh.  The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT.  We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT,   then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass.  The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.
6 0
3 years ago
Kerry drew a number line starting at 0, point a, and ending at 1, point c. Halfway between points a and c, kerry added point b.
Sholpan [36]

Answer: B) is the right answer→the distance between points a and b is equal to the distance between points b and c.


Step-by-step explanation:

As Kerry drew a number line starting at 0, point a, and ending at 1, point c and halfway between points a and c, he added point b.

.⇒ab=1/2 of ac and bc= 1/2 of ac or b is the mid point of line segment ac.

⇒ ab=bc(∵things which are equal to the same thing are equal to one another....→Euclid's first postulate)

Therefore, option B) the distance between points a and b is equal to the distance between points b and c is correct.

7 0
3 years ago
Help me pls I don’t know how to do this
nalin [4]

a=area

b=base

h=height

you have to divide 4.86 with 1.8 it Gives you 2.7

that's your answer .

b=2.7 yd

5 0
3 years ago
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