Answer
Find out the what fraction of the sandcastle did they build together .
To prove
Let us assume that the fraction of the sandcastle they build together be x .
As given
![Beatrice\ built\ about\ \frac{1}{3}\ of\ a\ sandcastle.](https://tex.z-dn.net/?f=Beatrice%5C%20built%5C%20about%5C%20%5Cfrac%7B1%7D%7B3%7D%5C%20of%5C%20a%5C%20sandcastle.)
![Linda\ built\ \frac{4}{7}\ of\ the\ same\ castle.](https://tex.z-dn.net/?f=Linda%5C%20built%5C%20%5Cfrac%7B4%7D%7B7%7D%5C%20of%5C%20the%5C%20same%5C%20castle.)
Than the equation becomes
![x = \frac{1}{3} +\frac{4}{7}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2B%5Cfrac%7B4%7D%7B7%7D)
L.C .M of (3,7) = 21
solving
![x = \frac{7 + 3\times4}{21}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B7%20%2B%203%5Ctimes4%7D%7B21%7D)
![x = \frac{19}{21}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B19%7D%7B21%7D)
Therefore the fraction of the sandcastle did they build together be
![x = \frac{19}{21}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B19%7D%7B21%7D)
Hence proved
Answer:
Step-by-step explanation:
- Mass = Density*Volume
- V = m/d
- V = 378.24/2.76 = 137.04 cm³ (rounded)
Answer y=-4
Because it's like you do if backwards
Answer:
$111
Step-by-step explanation:
First we need to take a look at the bank account of Hakim. Hakim initially invested $700 in the bank with a 5% simple interest annually. Since Hakim waited for an entire year before buying the computer, he will then have the extra 5% interest from the bank.
Let's first compute for how much Hakim will have in total in the bank.
A = P(1 + rt)
P = 700 Initial Investment
r = 5% or 0.05 Interest
t = 1 Year
A = 700(1 + (0.05 x 1))
A = 700(1 + 0.05)
A = 700(1.05)
A = 735
So now we know that Hakim has a total of $735 in his bank account.
Now let's move on to calculating the total cost of the computer. We know that the sales tax is always computed after the discounted price.
So first we find the discounted price.
x = 750
d = 20% or 0.20
Discount = 750 x 0.20
Discount = 150
Now that we have the discount of the computer, we then simply subtract the discount to the initial price.
750 - 150 = 600.
The computer will then cost $600 with the discounted price.
Now we have to find the sales tax.
Sales Tax = 4% or 0.04
Total Discounted Price = 600
600 x 0.04 = $24
Now that we have the sales tax, we simply add the sales tax to the discounted price.
600 + 24 = 624.
Now that we know how much the total cost of the computer is with the discount and sales tax, we simply subtract the total cost of the computer to Hakim's current account balance.
735 - 624 = 111
Hakim will have a total of $111 in his bank account after purchasing the computer.
Answer: Choice D) {6, 12}
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Explanation:
The upside down U symbol means "set intersection". The intersection of two sets is the collection of all items that are in both sets at the same time.
In this case, only 6 and 12 are in both set A and set B at the same time, which is why choice D is the answer.
We can rule out choices A through C because 3 is not in set A (its only in set B).
Visually on a Venn Diagram, the intersection of the two sets will be shown as the overlapping region between the two circles A and B. So we'll have 6 and 12 in this overlapped region. The other values will go in their respective circles but not be in the overlapped region.