The cost per book is $3.41 thus the cost of buying 7 books will be $23.87 maintaining the given ratio.
The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
For example, a/b, where a will be the numerator and b will be the denominator.
As per the given,
The book fair had a sale where 6 books were $20.46.
Cost per book = 20.46/6 = $3.41
To buy 7 books,
The cost of buying 7 books at $3.41 per book will be,
⇒ 3.41 × 7 = $23.87
Hence "The cost per book is $3.41 thus the cost of buying 7 books will be $23.87 maintaining the given ratio".
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Although the gardener applies the same amount of force to the wheelbarrow, he cannot move it with the same rate of acceleration.
What should the gardener do to move the wheelbarrow at the same rate of acceleration for the second trip?
A. reduce the amount of soil by one-half and apply the same amount of force
B. keep the amount of soil the same and apply less force
C. reduce the amount of soil by one-quarter and apply the same amount of force
D. double the amount of soil, and apply less force
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Answer:
Step-by-step explanation:
it seems to me that if he wants the same rate of acceleration as the first trip, then he would need the same amount of soil as the first trip.
Therefore, he should reduce the amount of soil by one half and apply the same force. <====
Because the first time it was half full.....and since the second trip was all the way full, if he reduced it by one half, it would contain the same amount as the first trip....so he can then get the same rate of acceleration.
Answer:
A.
Step-by-step explanation:
According to Newton's second law of motion, an object with a larger mass requires more force to accelerate it at a certain rate than an object with less mass. This means that an object with a larger mass requires more force to accelerate.
To move the wheelbarrow at the same rate of acceleration for the second trip, the amount of soil must be the same as in the first trip. Since the gardener first filled only one-half of the wheelbarrow with soil, the gardener must reduce the amount of soil by one-half and apply the same amount of force.
Answer:
Osa
Step-by-step explanation:
Relative distances
Osa is in a submarine 200 feet under sea level. We can say its distance to sea level is 200 feet
Jill is 311 feet above sea level, her distance to sea level is 311 feet
We can say Osa is closest to sea level
If we consider ground level to the reference where distances are measured from above, then we must say Osa is closest to it because she is below sea level and naturally, closer to the ground below it
To know that Alex did not have more than 800 coins exactly.Alex had 421 coins.
Well, we know that however many coins he does have, x, is not more than 800 AND cannot be divided by 2, 3, 4, 5, 6, or 7.
So,we need to find a number that can divide into 800 but the rest cannot.
x mod 3=1, x mod 4= 1, x mod 5 = 1 and x mod 7 =1.
Note that if x mod 3 =1 and x mod 4 =1 then x must be of the form 12a+1. So (12a+1) mod 2= 1
Counting is the process of determining the number of elements of a finite set of objects, i.e., determining the size of a set.
(12a+1) mod 6 =1.
That is you need not have the equations for 2 and 6.
To satisfy the 4 equations above x must be of the form
(3*4*5*7)b+1 =420b+1.
Knowing that x <800 we get that b=1 and so x=421.
Therefore Alex had 421 coins.
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