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AlladinOne [14]
2 years ago
10

If rounded to the nearest dime, what is the greatest amount of money the rounds to $105.40? What is the least amount of money th

at rounds to $105.40? Explain your answer
Mathematics
1 answer:
NISA [10]2 years ago
7 0
<span>The answer is: the least amount is 105.35 and the greatest amount is 105.44. If the number after the one you want to round is 5 or bigger, you need to round up the number. For instance, 105.35 is rounded to 105.4 which is equal to 105.40. If the number after the one you want to round is smaller than 5, you need to round down the number. For instance, 105.44 is rounded to 105.4 which is equal to 105.40.</span>
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297,060 / 0.0004839 =<br><br> Answer in Scientific Notation it Standard Notation
Valentin [98]

Answer:

6.1389 x 10^8

Step-by-step explanation:

3 0
2 years ago
What is m∠A?<br> 145°<br> 95°<br> 50°<br> 35°
GaryK [48]

Answer:

35°

Step-by-step explanation:

Since all straight lines have a degree of 180, we can find the measures of the other two angles.

180-85= 95

180-130=50

The sum of the measures of the degrees in a triangle is 180. So if we add m∠A + 95+50 it should equal 180.

We can solve that equation to get the measure of ∠A.

m∠A +145=180

m∠A=35°

8 0
2 years ago
Read 2 more answers
A baby otter was born 3/4 of a month early. At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average
Assoli18 [71]

Answer:

The average weight of new born otter was, 1\frac{31}{40}

Step-by-step explanation:

Let average weight of new born otter be x.

As per the given statement: At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average weight of a new born otter in the aquarium

"\frac{9}{10} kg less than average weight of a new born otter" means x-\frac{9}{10}

As per the given information, we have;

\frac{7}{8} = x -\frac{9}{10}

Add  \frac{9}{10} both sides, we have;

\frac{7}{8} + \frac{9}{10} = x

Take LCM of 8 and 10 is, 40

⇒\frac{35+36}{40}=x

Simplify:

x = \frac{71}{40} = 1\frac{31}{40}

Therefore, the average weight of new born otter was, 1\frac{31}{40}




6 0
2 years ago
Read 2 more answers
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean 210x^6y^4

We can deduce that this term will be located somewhere in the middle. So I will calculate k= 5; k=6 \text{ and } k =7.

For k=5

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just x^{n-k} y^k

For k=6

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0
2 years ago
Solve for x showing work
natali 33 [55]
X = 112
See attachment file below.

Hope it helped!

5 0
2 years ago
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