Answer:
- <u>Two equivalent fractions with whole numbers may be 180/150, or 6/5</u>
- <u>The height of the tree is 39.6 feet.</u>
Explanation:
The diagram provides the proportion of the heights to the shadows:
From that you are asked (i) to simplify the fraction of the right side to one with whole numbers.
You can do that in two steps by multiplying both numerator and denominator by 10:
You can simplify that fraction if you divide by the greatest common factor of 180 and 150, which is 30:
The second part (ii) asks to find the height of the tree, that is x. To solve for x you can multiply both sides by the denominator of the fraction on the left and then simplify:
Thus, the height of the three is 39.6 feet.
10.5 small boxes equals the same amount of cereal in a large box
<h3>
How to determine the value</h3>
From the information given, let:
n is the number of smaller boxes
We know that:
Then,
12 + 7.6n = 6 + 8n
collect like terms
8n - 7. 6n = 12 - 6
0. 4n = 6
n = 6/ 0. 4
n = 15
The amount of cereal in a large box is;
6 + 8n = 6 + 8 (15) = 126 ounces
The amount of cereal in the smaller box is 12 ounces
Divide the volume of the larger box by the volume of the smaller box;
= 126/ 12
= 10. 5 smaller boxes
Hence, 10.5 small boxes equals the same amount of cereal in a large box
The complete question:
A cereal box manufacturer changes the sizeof the box to increase the amount of cereal it contains. The equations 12 + 7.6n and 6 + 8n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?
Learn more about word problem here:
brainly.com/question/13818690
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Answer:
{∅, {a}, {b}, {a,b}}
Step-by-step explanation:
The value of power of a set is generalized by using the formula,
Power of a set (P) = 2^n where n is the number of element in the set.
Given two distinct elements a and b say;
A = {a,b}
n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.
P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;
{∅, {a}, {b}, {a,b}} which gives 4 elements in total.
Note that empty set ∅ is always part of the subset of any given set
