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shtirl [24]
1 year ago
9

"Express as a mixed numeral: 39/8" is a problem found in a fifth-grade arithmetic textbook. This problem is BEST solved through:

Please choose the correct answer from the following choices, and then select the submit answer button.
a.trial and error.
b.insight.
c.an algorithm.
d.a heuristic.
Mathematics
1 answer:
Scilla [17]1 year ago
5 0

Answer:

  c.  an algorithm

Step-by-step explanation:

Most math problems are best solved using an algorithm. Certainly, converting numbers from one form to another is easily done that way.

_____

The integer part is the whole-number quotient of the division. The fractional part is the remainder divided by the denominator:

  39/8 = 32/8 + 7/8 = 4 7/8

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Write the ratio as a fraction in simplest form: 2.35 to 5.25.
Sliva [168]

Step-by-step explanation:

\frac{2.35}{5.25}  =  \frac{235}{525}  =  \frac{47}{105}  = 47 \:  : \: 105 \\

4 0
1 year ago
Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (2
Firlakuza [10]

Answer:

The value of x is 3 ⇒ 2nd answer

Step-by-step explanation:

<u><em>An exterior angle</em></u> is the angle between one side of a triangle and the

extension of an adjacent side

<u><em>The measure of an exterior angle at any vertex of a triangle equal the </em></u>

<u><em>sum of the measures of the two opposite interior angles</em></u>

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

* Lets find the value of x

∵ ∠TRQ is an exterior angle of Δ RTS at the vertex R

∵ The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR ⇒ <u><em>as the rule above</em></u>

∵ m∠TRQ = (45 x)°

∵ m∠RTS = (25 x)°

∵ m∠TSR = (57 + x)°

Substitute these measures in the equation above

∴ 45 x = 25 x + 57 + x

∴ 45 x = 26 x + 57

Subtract 26 x from both sides

∴ 19 x = 57

Divide both sides by 19

∴ x = 3

* The value of x is 3

3 0
2 years ago
Read 2 more answers
How do i evaluate 256 1/4 .? this is algebra 2.
Mariulka [41]
Look it up on photomath
6 0
2 years ago
A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the
katrin [286]

Answer:

The correct option is 1.

Step-by-step explanation:

From the given histogram it is clear that

In age group 5-10, the number of students is 7.

In age group 11-13, the number of students is 5.

In age group 14-18, the number of students is 4.

It means age of 7 students lie in the interval 5-10, age of 5 students lie in the interval 11-13 and age of 4 students lie in the interval 14-18.

Total number of elements in the data set is 7+5+4=16

In option 3 and 4 number of elements is data set is less than 16. So, option 3 and 4 are incorrect.

In option 2 all the data set lie in the interval 5-10. So, option 2 is incorrect.

In option 1,

Class intervals      elements           frequency

5-10                    5,6,7,8,9,10,10           7

11-13                  11,11,12,12,13            5

14-18                    14,14,15,16              4

From the above table we can conclude that data set 1 represented in the given histogram.

Therefore the correct option is 1.

4 0
2 years ago
Read 2 more answers
Two numbers are randomly selected on a number line numbered from 1 to 9. Match each scenario to its probability.
Talja [164]

Answer:

1/9; 4/9; 1/12; 1/6

Step-by-step explanation:

the probability that both numbers are greater than 6 if the same number can be chosen twice--> 3/9 * 3/9 = 1/9

the probability that both numbers are less than 7 if the same number can be chosen twice --> 6/9 * 6/9 = 4/9

the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice --> 3/9 * 2/8 = 1/12

the probability that both numbers are even numbers if the same numbers cannot be chosen twice --> 4/9 * 3/8 = 1/6

5 0
2 years ago
Read 2 more answers
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