The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
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Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.
A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:
The gradient of the function is constant s the independent variable (x) varies
The graph passes through the origin. That is to say when x = 0, y = 0.
Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.
This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.
This leaves C as the odd one out.
I hope this helps you :)
Answer:
D. It interferes with motor responses
Step-by-step explanation:
Don't ask why I know this
Answer:
-6
Step-by-step explanation:
Answer:
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Step-by-step explanation:
We are given that
In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet
The skydiver drops towards earth at a rate=175 ft/s
The height of the skydiver from the ground can be modeled using the function
We have to find the domain of the function for this situation.
When t=0
Then ,
From given graph we can see that the value of t lies from 0 to 50.
Therefore, the domain of the function for this situation is given by
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