Answer:
j=3 inches
Step-by-step explanation:
Since the two triangles are similar, we can set up a ratio
1in:3in
j:9in
Now we solve for j
Since the length of the side of the shorter triangle is 1/3 the length of the side of the longer triangle (as shown by the ratio 1:3 which can also be written as 1/3), we can multiply 9 by 1/3. This gives us 3.
So j=3 inches
Answer: B
explanation: Because the graph has two open circles, the answer will not have an equal to (the line under the less than or greater than symbol) so the answer can not be C or D.
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Answer:
$3600.
Step-by-step explanation:
If the wife received $6000 which is a quarter of the money, solve for the total amount of the fortune:
1/4x = 6000
Multiply both sides by 4:
x = $24000
We can begin by subtracting the wife's amount from the total:
24000 - 6000 = $18000
He has 3 sons and 4 daughters. Let 'x' represent the amount the daughters received, and '2x' the amount the sons received.
18000 = 3(2x) + 4(x)
Distribute and combine the terms:
18000 = 6x + 4x
18000 = 10x
Divide both sides by 10:
18000/10 = 10x/10
x = $1800. This is the amount that each daughter receives. Since the sons receive '2x':
2(1800) = $3600.
Answer:
91
Step-by-step explanation:
25% of 73 = 18.25
18.25 + 73 = 91
actual answer = 91.25
Full question:
Eighteen of 50 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not defective?
Answer:
16/25
Step-by-step explanation:
Probability is the likelihood of an event happening and it is calculated as the number of favourable outcomes divided by the total number of possible outcomes. From the above we can calculate probability of finding a DVR that is not defective by adding up number of DVRS that are not defective in the DVRS(favourable outcomes) and dividing it by the total number of DVRS(total number of possible outcomes).
Non defective dvrs=total number of dvrs-defective dvrs=50-18=32
So probability here=non defective dvrs/total number of dvrs
=32/50=16/25