Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like t
2 answers:
Answer:
i) 3.25x ≤ 26.50
ii) Omar can buy 8 bracelets.
Step-by-step explanation:
Omar has a gift card for $40.00.
Omar bought a hat for $13.50
The remaining amount he has = $40.00 - $13.50 = $26.50
He would like to buy souvenir bracelets for his friends.
Each cost = $3.25
Let "x" be the number of bracelets can buy.
3.25x ≤ 26.50
Now we have to solve the inequality.
Dividing both sides by 3.25, we get
x ≤ 8.15
The bracelets cannot be in decimal form.
So we have to round off to nearest whole number.
x ≤ 8
Therefore, Omar can buy 8 bracelets.
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Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.
In the question, we are given that a sphere and a cylinder have the same radius and height.
We assume the radius of the sphere to be r, and its height to be h.
Now, the height of a sphere is its diameter, which is twice the radius.
Thus, the height of the sphere, h = 2r
Given that the sphere and the cylinder have the same radius and height, the radius of the cylinder is r, and its height is 2r.
The volume of a sphere is given by the formula, V = (4/3)πr³, where V is its volume, and r is its radius.
Thus, the volume of the given sphere using the formula is (4/3)πr³.
The volume of a cylinder is given by the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.
Thus, the volume of the given cylinder using the formula is πr²(2r) = 2πr³.
Now, to compare the two volumes we take their ratios, as
Volume of the sphere/Volume of the cylinder
= {(4/3)πr³}/{2πr³}
= 2/3.
Thus, the volume of the sphere/the volume of the cylinder = 2/3,
or, the volume of the sphere = (2/3)*the volume of the cylinder.
Given the volume of the cylinder to be 54 m³, Amie should have multiplied 54 by 2/3 instead of adding the two.
Thus, Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.
Learn more about volumes at
#SPJ4
For the complete question, refer to the attachment.
