Answer:
She bought 22 number of cupcakes.
Step-by-step explanation:
Let Mercedes bought x number of vanilla cupcakes and y number of chocolate cupcakes.
If she eats one of the vanilla cupcakes, then 1/7 of the remaining cupcakes will be vanilla.
So, we can write
⇒ x + y - 1 = 7x - 7
⇒ 6x - y = 6 ......... (1)
Now, if Mercedes instead eats two of the chocolate cupcakes, then 1/5 of the remaining cupcakes will be vanilla.
So, we can write
⇒ x + y - 2 = 5x
⇒ 4x - y = - 2 ............ (2)
Now, solving equations (1) and (2) we get
(6x - 4x) = 6 - ( - 2) = 8
⇒ 2x = 8
⇒ x = 4
Then, from equation (2) we get, y = 4x + 2 = 18
Therefore, she bought (18 + 4) = 22 number of cupcakes. (Answer)
Hi!
Your answer should be: 3/c, "c= (5)($7)"
Reason being:
A: it only has the number of tickets, so that wouldn't make sense.
B: It has both numbers, <em>but, </em>were not adding, because the tickets cost $7 <u><em>EACH</em></u>, so only adding them wouldn't give you the right answer.
C: They are multiplying 5x$7, which is correct because each ticket is $7, and she is trying to buy 5, so 5x$7=c is correct.
D: like A, they only have one part of the problem, so it wouldn't make sense.
Hope this helps!
<em>Yours truly,</em>
<h2><em>
~~~PicklePoppers~~~</em>
</h2>
"a" - one kilo bar, which contains 23% copper. Mass of copper in "a" bars: 0.23a kg
"b" - on kilo bar, which contains 79% copper. Mass of copper in "b" bars: 0.79b kg
Sum of bars: 48 (because 48kg) so a+b=48
Sum of mass of copper: 44% from 48 = 0.44 * 48 = 21.12 so 0.23a + 0.79b = 21.12
From first equation you've got a=48-b. Substitute it to the second equation, you've got
0.23(48-b)+0.79b=21.12
11.04-0.23b+0.79b=21.12
0.56b=10.08 |:0.56
b=18
So a = 48-b=48-18=30
So he has to mix 30 bars that contain 23%copper and 18 bars that contain 79% copper
Greeting!
Potential Energy of an object of 5kg which is 6 meters in height is 294 Joules.
Step-by-step explanation:
We are given:
Mass = m = 5 kg
Height = h= 6 meters
Potential Energy = ?
The formula used to find Potential Energy is:
where m is mass, g is gravitational field and h is height
Putting the given values of mass and height, and g=9.8 m/s^2
So, Potential Energy of an object of 5kg which is 6 meters in height is 294 Joules.
Keywords: Potential Energy
Learn more about Potential Energy at:
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