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Naya [18.7K]
3 years ago
5

Theo drove 236 miles in 4 hours. Lex drove 195 miles in 3 hours. At those rates, could either man drive 116 miles in 2 hours? Sh

ow your work, please!
^﹏^
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

No.

Step-by-step explanation:

236÷4=59

     &

195÷3=65

<em>To check if either of them drove 116 miles in 2 hours, I would multiply the sum of the division problems by 2(for 2 hours).</em>

59 x 2 = 118

      &

65 x 2 = 130

None of them equals 116, meaning neither of them drove 116 miles in 2 hours.

<u><em>Hope I helped you! Have a great day! :)</em></u>

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What is the best approximation for the area of this circle?
Svetradugi [14.3K]
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6 0
4 years ago
Read 2 more answers
How much interest does Ms. Paris earn on an $1800 loan for 6 months with a simple interest rate of 8.5%?
ddd [48]

Answer:

$1136.60

Step-by-step explanation:

The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.

We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:

f(x)=1800(1 + r)^x

We also know the time intervals is 6 months. So that can be substituted as well:

f(x)=1800(1 + r)^6

They told you that the growth rate is 8.5%, which is 0.085 of 1.

f(x)=1800(1 + 0.085)^6

Add the 2 values in the parentheses and you get 1.085

f(x)=1800(1.085)^6

Now solve.

Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:

1800(1.63146751) = 2936.64152. That rounds to 2936.60

So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.

$2936.60 - $1800 = $1136.60

6 0
3 years ago
A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 1/2 lb of onions. How many servings can Mark make?
Oxana [17]
⓵ You have to do a cross product in order to find your answer :

1/4 lb → 3 servings
1 ½ lb → × servings

(3 x 1 ½) ÷ 1/4 = (3 x 1,5) ÷ 0,25

⓶ Now you need to solve the equation :

(3 x 1,5) ÷ 0,25

↓

(4,5) ÷ 0,25

↓

4,5 ÷ 0,25 = 18

Which means that your final answer is that Mark can make 18 servings with 1 ½ lb of onions!

I hope this helped! ☻
6 0
3 years ago
If 97 of 200 is 100% then how much of 200 is 112%
pickupchik [31]
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 200% of the output value, so we can write it down as x=200%.
5. Now we have two simple equations:
1) 112=100%
2) x=200%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/200%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 200% of 112

112/x=100/200
(112/x)*x=(100/200)*x - we multiply both sides of the equation by x
112=0.5*x - we divide both sides of the equation by (0.5) to get x
112/0.5=x
224=x
x=224

now we have:
200% of 112=224



●I tried my best I was never good with percentages my least favorite.... Please let me know if you got it wrong. If you do I'm sorry.
3 0
4 years ago
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