Using proportions, considering the given ratio, it is found that 9090 grapes were there.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The ratio of bananas to grapes of 3:101 means that out of 104 fruits, 3 are bananas and 101 are grapes. Hence the<em> rule of three</em> is given as follows:
3 bananas - 101 grapes
270 bananas - n grapes.
Applying cross multiplication:
3n = 101 x 270
n = 101 x 270/3
n = 9090.
9090 grapes were there.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
4,486.93 ft
Step-by-step explanation:
Let 'h' be the height of the mountain and 'x' be the horizontal distance between the first position measured and the top of the mountain.
Two right triangles can be modeled such that their tangent relationships yield:
Solving the linear system:
The mountain is 4,486.93 ft high.
First, find the difference between each number in the sequence.... 34 - 25 = 9. 25 - 16 = 9 and 16 - 7 = 9... So, there is a constant difference of 9 between each number of the sequence. To find the 30th term, you could expand the sequence out to 30 (which is a good way to check your answer, but tedious)... So, simply add the 1st value of the sequence to the difference and multiply by 30 to find your 30th value.... 7 + 9 x 30 = 16 x 30 = 480.
Therefore, the 30th term is 480.
This problem is asking us to make an algebraic equation or representation of the situation. First we have to assign the variables which is already given in the problem. H is the number of the home team and V is the visiting team. Since the problem states there are the home team has five times as manyfans as the visiting team, then it can be represented as:
H = 5V
Also, H + V = 52,000. H and V can then be solves by solving the 2 equations simultaneously. The results are 43,333 and 8,667.
D. The elevator takes 37.5 seconds to move down to the lobby.
8x+y=300
y= 300-8x
y= 300 - 8 (37.5)
y = 300-300
y = 0
wheb y =0 that means that the height is 0
