Answer:
2310789600
Step-by-step explanation:
10 digits + 26 letters = 36
₃₆C₁₃ = 2310789600
Hope this helps, although i am not 100 percent sure its right.
Answer: 8.5, 4, 8, 4, 20.5
Explanation:
Mode : 4
Median : 8
Mean : (8.5 + 4 + 8 + 4 + 20.5)/5 = 45/5 = 9
Range : 20.5 - 8.5 = 12
Hello!
To do this, we know the two triangles are similar, so we can set up a proportion, and then find the length of the lake.
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The two triangles (Triangle AEB and ADC) are similar. We know this because all the angles have the same measurement - They all share angle A, they both have a right angle, and therefore, their third angle measures the same.
What we know about both triangles is their hypotenuse length. We know that triangle AEB has a hypotenuse that measures 320 m, and ADC has a hypotenuse that measures 320 + 162, or 482 m.
320 : 482 is therefore the ratio between the side lengths of two triangles (AEB : ADC). We can simplify this to 160 : 241.
Now, what we are looking for is the side length DC. The corresponding side to this in triangle AEB is EB, and we know it measures 40 m. Therefore, using the ratio, we can find the measure of DC.
160 / 4 : 241 / 4
40 : 60.25
Therefore, the measure of DC is 60.25 m.
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Hope this helps!
Answer:
yes
Step-by-step explanation:
because we are simply "adding" 2 negative numbers.
-8n + -7 = -7 + -8n
as long as we flip the terms around with their signs, the commutative principle of addition applies.
what we CANNOT do is e.g.
8n - 7 = 7 - 8n
THERE would be a problem.
but again, by also keeping the signs with the terms, it is all OK.
so, yes, we could also do
8n - 7 = -7 + 8n
that is true again.
The correct answer is Option C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?
Further explanation:
Given equation is:
9x+14
We will look at the options one by one
<u>A.9 dogs and 14 dogs and 14 cats cost $100</u>
If this option has to be considered, there will be atleast two variables involved one for the dogs and one for the cats while the given equation only involves one variable so this is not the correct option.
<u>B. Ty wants to buy 14 dogs, but they cost $100, how much more does he need?</u>
The given scenario cannot be linked to given equation if x represents dogs the equation will be something like 14x=100 so this option is not the correct answer.
<u>C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?</u>
The number 14 will be constant as this is the value which is used only once while ty earns 9 dollar per week if x represents number of weeks then the equation to represent the scenario will be
9x+14=100
The value of x will give us the number of weeks required.
The correct answer is Option C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?
Keywords: Linear equations, linear inequality
Learn more about linear equations at:
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