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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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If the cost of a 2.5 meter cloth is $30.5. What will be the cost of 22 meters ?
alisha [4.7K]

Answer:

268.40

Step-by-step explanation:

We can write a ratio to solve

2.5 meters        22 meters

-----------------  = --------------

30.5 dollars       x dollars

Using cross products

2.5 * x = 30.5 * 22

2.5x =671

Divide each side by 2.5

2.5x / 2.5 = 671/2.5

x =268.4

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Ivenika [448]

Answer:

294 square units

Step-by-step explanation:

35^2-21^2=a^2

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Help me plzzz<br>i need help<br><br>​
mina [271]

Answer: 5/6 ÷ 5/12 = 5/6 x [12]/[5] = [60]/30 =2

Step-by-step explanation:

The key to this is knowing that when you divide anything by a fraction, it is the same as multiplying by the reciprocal of the fraction, or the flipped version. In this case, we are given 5/6 divided by 5/12, which equals 5/6 x12/5. Then you can so normal fraction multiplication to get 60/30, which is 2.

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3 years ago
arthur wants to buy an item that costs p dollars before tax. using a 6% sales tax rate, write two different expressions that rep
Mkey [24]

For this case we have the following variable:

p: cost of the item that Arthur wants to buy before tax

The expression for the 6% tax is given by:

\frac{6}{100} p

Or equivalently:

0.06p

Therefore, two different expressions for the total cost are:

Expression 1:

p + \frac{6}{100} p

Expression 2:

p + 0.06p

To prove that they are equal, suppose that the item costs $ 100:

Expression 1:

p + \frac{6}{100} p

100+ \frac{6}{100} 100

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106

Expression 2:

p + 0.06p

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100 + 6

106

Since the cost is the same, then the expressions are the same.

Answer:

Two different expressions that model the problem are:

p + \frac{6}{100} p

p + 0.06p

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3 years ago
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