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stich3 [128]
3 years ago
9

Please include step by step instruction, so I can learn how to solve the problem. Thank you

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

First of all, recognize that any basic arithmetic operation between a rational number and an irrational number will have an irrational result. That means, you can eliminate any answer choices that involve an irrational number.

Fractions and mixed numbers involving integers are <em>always rational</em>, so you only need to look at the radicals. You know 9 is 3×3, so is a perfect square, and √9 = 3 is rational. You know 5 is not a perfect square, so <em>√5 is irrational</em>.

Considering the above, any expression involving √5 will have an irrational result. That means you can eliminate choices B and D.

  choices A and C will result in a rational number

_____

<em>Additional comment</em>

  A = 6.8 +0.75 = 7.55 (rational)

  C = 6.8 × 0.75 = 5.100 (rational)

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A 12-inch candle is lit and steadily burns until it is burned out. As the burned length of the candle increases from 4 to 7.5 in
MatroZZZ [7]

Answer:

The remaining length of the candle varies from 8 inches to 4.5 inches.

The required expression is: r=12-b

Where, b represents the burned length and r represents the remaining length.

Step-by-step explanation:

Consider the provided information.  

A 12-inch candle is lit and steadily burns until it is burned out.

The length of the candle is 12 in.

The burned length of the candle is 4 in.

That means the remaining length is 12 - 4 = 8 in

The burned length of the candle is 7.5 in.

That means the remaining length is 12 - 7.5 = 4.5 in

Hence, the remaining length of the candle varies from 8 inches to 4.5 inches.

Suppose b represents the burned length of the candle in inches (or the number of inches that have burned from the candle since it was lit) and r represents the the remaining length of the candle (in inches).

The required expression is: r=12-b

8 0
3 years ago
What fraction of a liter is 270 mL?
dybincka [34]
A liter is equal to 1,000 mL
Meaning, the fraction would be \frac{270}{1000}
8 0
3 years ago
FIND THE AREA AND PERIMETER PLEASE ​
baherus [9]

Answer:

Area = 70    Perimeter = 50

Step-by-step explanation:

I will begin with area.  I can find the area of each figure, then add the areas.

3 • 18 = 54

4 • 4 = 16

Area = 70

For perimeter, I will add the given lengths.

3 + 18 + 7 + 4 + 4 + 14

Perimeter = 50

8 0
3 years ago
Read 2 more answers
Please help 20 points
loris [4]

Answer:

10 4/7

Step-by-step i used photo math

4 0
3 years ago
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The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4
prohojiy [21]

Functions can be represented using equations, graphs and tables.

The function is given as:

a(l) = \frac 12 l^2

When l = 1, we have:

a(1) = \frac 12 \times 1^2

a(1) = 0.5

When l = 2, we have:

a(2) = \frac 12 \times 2^2

a(2) = 2.0

When l = 3, we have:

a(3) = \frac 12 \times 3^2

a(3) = 4.5

When l = 4, we have:

a(4) = \frac 12 \times 4^2

a(4) = 8.0

Represent the above results as a table, we have:

<u>l          a(l)</u>

1          0.5

2         2.0

3          4.5

4          8.0

Read more about tables and functions at:

brainly.com/question/13136492

8 0
3 years ago
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