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Mariana [72]
3 years ago
7

8 copies of the sum of 4 thirds and 2 more. Write an expression to match, and then evaluate.

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

Expression: 8\times(\frac{4}{3}+2)

26\frac{2}{3}

Step-by-step explanation:

We are asked to write an expression and evaluate the expression.

4-thirds would be \frac{4}{3}.

The sum of 4-thirds and 2 more would be \frac{4}{3}+2.

8 copies of 4-thirds and 2 more would be 8 times \frac{4}{3}+2.

8\times(\frac{4}{3}+2)

Let us solve the expression.

8\times(\frac{4}{3}+\frac{2*3}{3})

8\times(\frac{4}{3}+\frac{6}{3})

8\times(\frac{4+6}{3})

8\times(\frac{10}{3})

\frac{8\times10}{3}

\frac{80}{3}

26\frac{2}{3}

Therefore, the solution for our given equation would be 26\frac{2}{3}.

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A bicycle wheel makes five rotations. the bicycle travels 44.48 ft. Find the diameter of the wheel in inches.
Tema [17]

Answer:

2.42 feet

Step-by-step explanation:

the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588

 

Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference

 

We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius

 

We divide 2 from both sides of the equation (3.14)(radius) = 3.794

 

We divide pi from both sides (radius) = 1.208

 

Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius

 

1.208 * 2 = 2.416 or 2.42 rounded up

 

Final answer = 2.42 feet

7 0
3 years ago
Read 2 more answers
A 13 foot board is cut into 2 pieces, if one piece is x feet long express the other length in terms x
pychu [463]

Answer:

if they are equal then it would be 6.5

7 0
3 years ago
What is the theoretical probability of rolling anything other than a two on a fair six sided die?
mrs_skeptik [129]

Answer:

5/6 probability

Step-by-step explanation:

6 0
3 years ago
Braden biked 10 8/9 miles on Monday. On Tuesday, he biked 3/ 4 as far as Monday. How many total miles did he bike over the two d
torisob [31]

Answer:

19 1/18 miles.

Step-by-step explanation:

For Tuesday's ride we need to multiply 10 8/9 by 3/4.

10 8/9 = (9*10+8) / 9 =  98/9 miles.

98 / 9  * 3/4

= 98/3 * 1/4

49/6

= 8 1/6 miles.

Total miles over 2 days = 10 8/9 + 8 1/6

= 18 + 8/9 + 1/6

= 18 +  48/54 + 9/54

= 18 57/54

= 19 3/54

= 19 1/18 miles.

5 0
3 years ago
Convert 10 hours into minutes
Neko [114]

Answer:

600 minutes

Step-by-step explanation:

60 minutes in an hour

60 × 10 is 600

8 0
3 years ago
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