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Rufina [12.5K]
4 years ago
15

1 1/3 divided by 3 + 1/3

Mathematics
1 answer:
Phantasy [73]4 years ago
3 0
The first step to solve this problem is to convert the first mixed number to an improper fraction.
\frac{4}{3} ÷ 3 + \frac{1}{3}
Dividing is equivalent to multiplying with the reciprocal value,, so next you will need to change the signs.
\frac{4}{3} x \frac{1}{3} + \frac{1}{3}
Multiply the fractions
\frac{4}{9} + \frac{1}{3}
Finally,, add the two fractions together to get your final answer
\frac{7}{9}
This means that the correct answer to your question is \frac{7}{9} .
Let me know if you have any further questions
:)
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Round 83,461 to the nearest thousand.
ch4aika [34]

Answer:

See below.

Step-by-step explanation:

83,461

  /\

This is the thousand place.

5 and above is rounded up, 4 and below is rounded down.

83,000 is the answer.

-hope it helps

4 0
2 years ago
Which expression represents the series 1+5+25+125+625
tankabanditka [31]
a_n=5^n
where n starts at 0.

a_n=5^{(n-1)}
where n starts at 1.
7 0
4 years ago
Evaluate the expression -7 1/4x + 3 5/8 for x= -4
Misha Larkins [42]

Answer:

32 5/8 (or 32 and 5/8)

Step-by-step explanation:

Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.

-7 1/4(-4) + 3 5/8.

To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.

-29/4(-4) + 3 5/8.

Repeat the last step to turn the other mixed number into an improper fraction.

-29/4(-4) + 29/8.

Now let's multiply that -4 by 29/4. Because a whole number technically has a denominator of 1, we can now set up the next part of our problem. (The symbol * means multiplication since we can't use x since it is already being used as a variable in this equation.)

(-29/4 * -4/1) + 29/8.

29 + 29/8.

Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.

<u>29</u> x <u>8</u> = <u>232</u>

1   x 8 =   8

Now these numbers are addable. So:

232/8 + 29/8 = 261/8 = 32 5/8.

I hope that this helps.

4 0
3 years ago
Tristan has some dimes and some quarters. He has at least 20 coins worth at most $4.25 combined. If Tristan has 10 dimes, determ
Dovator [93]

Answer:

The maximum number of quarters that he could have is 13

Step-by-step explanation:

Let x represent the number of quarters he could have. If he has 10 dimes and has at least 20 coins, then

→ x + 10 >= 20

→ x >= 10    (1)

His coins worth at most $4.25. Also, it is known that 1 dollar is equal to 100 cents, 1 dime is equal to 10 cents and 1 quarter is equal to 25 cents.

→ (x * 25) + (10 * 10)  <= (4.25 * 100)

→ 25x  + 100 <= 425

→ 25x <= 325

→ x <= 13  (2)

If we combine the equation 1 and 2:

10 <= x <= 13

The maximum value of x is 13

7 0
3 years ago
2a-2,2a+2,6a-2<br>ans. <br>1) -3 <br>2) -2 <br>3) 2 <br>4) 3​
Gala2k [10]

Answer:

the answer is 3 because 2a-2a+6a-2+2+2

2a-2a=0

6a-2+2+2=

6a-6

a= 3

8 0
2 years ago
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