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Over [174]
3 years ago
9

11. Reason Identify each solution as rational or

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0

Answer:

a. Rational; b. rational

Step-by-step explanation:

A rational number is the quotient of two integers.

a. ⁴/₇ + ⁻¹/₃

\begin{array}{rcl}\dfrac{4}{7} + \dfrac{-1}{3} & = & \dfrac{12}{21} + \dfrac{-7}{21} \\\\& = & \dfrac{5}{21}\\\end{array}

The solution is rational.

b. √4 ⅖

\begin{array}{rcl}\sqrt{4} \, \dfrac{2}{5} & = & 2 \, \dfrac{2}{5}\\\\& = & \dfrac{22}{5}\\\end{array}

The solution is rational.

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The quotient of a number and 5 is less than 4
cupoosta [38]

Answer:

n ÷ 5 < 4

Step-by-step explanation:

Quotient is to divide.

Let n be the unknown number.

Now you have the equation needed.

8 0
3 years ago
The events committee buys 80 flowers for a school dance. The flowers are a combination of carnations and roses. Each carnation c
Slav-nsk [51]

Answer:

64 carnations and 16 roses.

Step-by-step explanation:

The events committee buys 80 flowers

The flowers are a combination of carnations and roses.

Each carnation costs $0.50 and each rose costs $2.50

The committee spends a total of $72

<u>Solution:</u>

<u />

Let there be  (c) carnations and (r) roses.

So,

c + r = 80 flowers

and $0.50c + $2.50 = $72

This forms a simultaneous equation:

c + r = 80 ... (i)

0.5c + 2.5r = 72 ... (ii)

Multiplying equation (i) by 0.5 and equation (ii) by 1 gives;

0.5c + 0.5r = 40 ... (i)

0.5c + 2.5r = 72 ... (ii)

Subtracting (i)  from (ii) gives;

0c + 2r = 32

2r = 32

r = 32 ÷ 2 = 16

Therefore, there are 16 roses

and 80 - 16 = 64 carnations

7 0
3 years ago
The length of a side of a square is √7 cm. What is the perimeter of the square? (Perimeter = the distance around the outside of
Sonja [21]
Since the square has 4 sides, you only have to add \sqrt{7} four times.

The <span>perimeter of the square is: </span><span>4 \cdot \sqrt{7} = 10.6 cm </span>
4 0
3 years ago
Read 2 more answers
Please help as soon as possible
MAVERICK [17]

Answer: Your Answer is: -8/17

7 0
3 years ago
Find the measure of angle x in the figure below: to 55° 55° O 65 0709 0110°​
denis-greek [22]

Answer:

110 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

6 0
2 years ago
Read 2 more answers
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