A bag contains purple marbles and white marbles, 34 in total. The number of purple marbles is 1 less than 4 times the number of
1 answer:
There are 27 purple marbles
Step-by-step explanation:
Let p be the purple marbles
and
w be the white marbles
Then according to given statements
Putting p = 4w-1 in equation 1
Adding one on both sides
Dividing both sides by 5
Putting w = 7 in equation 2
Hence,
There are 27 purple marbles
Keywords: Linear equation
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Answer: Choice A)
This is the same as writing 14^3
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Explanation:
Since all the sides are 14 feet long, we can basically say length = width = height = 14.
Or put another way:
- length = 14
- width = 14
- height = 14
The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.
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The term 14^3 has a base of 14 and exponent of 3.
The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14
If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.
Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.
Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.
Answer:
Step-by-step explanation:
From the question we are told that:
Force 1
Force 2
Force 3
Direction 1
Direction 2
Direction 3
Generally Resolving forces to X axis is mathematically given by
Generally Resolving forces to Y axis is mathematically given by
Generally the equation for Resultant force R is mathematically given by