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marissa [1.9K]
3 years ago
6

Add and simplify the result, if possible. x/18 + 3/18

Mathematics
1 answer:
Slav-nsk [51]3 years ago
8 0

\frac{x}{18}  and  \frac{3}{18} both have a common denominator, so you can combine them into a single fraction:

\frac{x}{18}+\frac{3}{18}=\frac{x+3}{18}

You cannot simplify this fraction further:

- - - - - - - - - - - - - - - - - - - -

Answer:

\boxed{\frac{x+3}{18}}

- - - - - - - - - - - - - - - - - - - - -

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5 0
3 years ago
Read 2 more answers
A baseball team's total wins and losses for one season is 162. The number of wins is 6 less than 2 times the number of losses. W
aivan3 [116]

Answer:

x + y = 162 and x = 2y - 6

Step-by-step explanation:

Let the total wins be x

Let the total loss be y

If a baseball team's total wins and losses for one season is 162, this can be expressed as;

x + y = 162 ....... 1

If the number of wins is 6 less than 2 times the number of losses, this is expressed as;

2 times the number of losses = 2y

6 less than 2 times the number of losses = 2y - 6

Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;

x = 2y - 6 .... 2

Hence the required system of equation are;

x + y = 162 and x = 2y - 6

8 0
2 years ago
A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th
Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504

Hence the probability that exactly 19 of them are strikes = 0.1504

8 0
3 years ago
Which of the following expressions is this one equivalent to?
schepotkina [342]

Answer: C. x-2

Step-by-step explanation:

We have the following expression:

\frac{x^{4} -2x^{3} +x-2}{x^{3}+1}

Factoring in the numerator:

\frac{x(x^{3}+1)-2(x^{3}+1)}{x^{3}+1}

Factoring again in the numerator with common factor x^{3}+1:

\frac{(x^{3}+1)(x-2)}{x^{3}+1}

Simplifying:

x-2

Hence, the correct option is C. x-2

3 0
3 years ago
What is the distance between -25 to -12 on the number line
STatiana [176]

Answer:

120 units

Step-by-step explanation:

8 0
2 years ago
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