While studying a 100 square mile area of jungle, a researcher finds 50 monkeys. Predict how many monkeys might inhabit a 1,500 s
1 answer:
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Answer:
Jason has $58.20 and Jeff has $13.80.
Step-by-step explanation:
Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.
We know that together they have $72. So, we can write the following equation:
We know that Jason has three <em>more</em> than four <em>times</em> the amount of money Jeff has. So:
This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:
Combine like terms:
Subtract 3 from both sides:
Divide both sides by 5:
So, Jeff has $13.80
We know that Jason has three more than four times the amount of money Jeff has.
Therefore, Jason has:
Multiply and add:
So, Jason has $58.20 and Jeff has $13.80.
And we're done!
Perimeter (p) = 2×length (l) + 2×width (w)
p = 2l+2w
area (a) = l×w, so solve for one (I'll use l):
since p = 30, and a = 50, substitute the "a÷w" in for l in the perimeter equation:
Now plug in p and a values:
therefore width can be either 5 or 10 (but not both), so let's plug in:
l = a÷w = 50÷5 = 10
So if w = 5, then l = 10
D) 5 feet, and 10 feet
p = 2l+2w
area (a) = l×w, so solve for one (I'll use l):
since p = 30, and a = 50, substitute the "a÷w" in for l in the perimeter equation:
Now plug in p and a values:
therefore width can be either 5 or 10 (but not both), so let's plug in:
l = a÷w = 50÷5 = 10
So if w = 5, then l = 10
D) 5 feet, and 10 feet
Answer:
22.2%
Step-by-step explanation:
The Program rating of a program is the percentage of TV households in an area that are tuned to a specific program during a specific time period.
The designated market area (DMA) of Boston has approximately 3 million television households.
Audience research shows that 45 percent of these households had their sets turned on during a particular Saturday evening.
45% of 3 Million = 0.45 X 3000000 = 1,350,000
Out of these 1,350,000, 300,000 households were watching Sports Stories.
Therefore, the program rating for Sports Stories in the Boston DMA is: