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3 years ago

Simplify 5x-10/x^2-4

Mathematics

1 answer:

castortr0y [4]3 years ago

5 0

Let's factorise and use the difference of two squares (D.O.T.S):
$\frac{5(x-2)}{(x+2)(x-2)}$
the (x-2) in the numerator and denominator cancel out so we are left with:
$\frac{5}{x+2}$
So the answer is B

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What is 7 devided by 245 and show work

agasfer [191]

1. Set up the long division.

245/7

2. Calculate 700 ÷ 245, which is 2 with a remainder of 210.

0.02245/7.4.902.10

3. Bring down 0, so that 2100 is large enough to be divided by 245.

0.02245|/.4.902.100

4. Calculate 2100 ÷ 245, which is 8 with a remainder of 140.

0.028245|/.4.902.1001.960140

5. Bring down 0, so that 1400 is large enough to be divided by 245.

0.028245/7.4.902.1001.9601400
6. Calculate 1400 ÷ 245, which is 5 with a remainder of 175.

0.0285245|7.4.902.1001.96014001225175

7. Therefore, 7 divided by 245 approximately equals 0.0285
7÷245≈0.0285

8. Simplify
0.0285 <------------- Answer :)

8 0

3 years ago

A 15 pound bag of candy cost $9.99. How much does 1 pound of candy cost? How do you know? Make sure to show all work and answer

Law Incorporation [45]

All you would do is divide 9.99/15 to get how much one pound costs.

The answer would be around 66 or 67 cents.

9.99/15=.666

5 0

3 years ago

Read 2 more answers

GR5_Math_U7_FS

Nutka1998 [239]

Answer:

4/6 of a pizza.

Step-by-step explanation:

We know that:

Both pizzas are of the same size.

Jasmine cut her's into 12 slices.

Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.

Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.

This means that:

X of a pizza + 2/6 of a pizza = 1 pizza

X + 2/6 = 1

X = 1 - 2/6

X = 6/6 - 2/6 = 4/6

Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.

5 0

3 years ago

assume that when adults with smartphones are randomly selected 15 use them in meetings or classes if 15 adult smartphones are ra

Tanzania [10]

Answer:

The probability that at least 4 of them use their smartphones is 0.1773.

Step-by-step explanation:

We are given that when adults with smartphones are randomly selected 15% use them in meetings or classes.

Also, 15 adult smartphones are randomly selected.

Let X = Number of adults who use their smartphones

The above situation can be represented through the binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; n = 0,1,2,3,.......$

where, n = number of trials (samples) taken = 15 adult smartphones

r = number of success = at least 4

p = probability of success which in our question is the % of adults

who use them in meetings or classes, i.e. 15%.

So, X ~ Binom(n = 15, p = 0.15)

Now, the probability that at least 4 of them use their smartphones is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= $1- \binom{15}{0}\times 0.15^{0} \times (1-0.15)^{15-0}-\binom{15}{1}\times 0.15^{1} \times (1-0.15)^{15-1}-\binom{15}{2}\times 0.15^{2} \times (1-0.15)^{15-2}-\binom{15}{3}\times 0.15^{3} \times (1-0.15)^{15-3}$