To which rational number subset(s) does the following number belong? 4/13 I. Rational Numbers II. Natural Numbers III. Whole Numbers IV. Integers

Answers

Answer 1
Answer: 1. Rational numbers
because A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
Answer 2
Answer:

Answer :r

rational number

Step-by-step explanation:


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Is the lcm of a pair of numbers ever equal to one of the numbers? explain with an example

What's the area of the shaded region?

Answers

To find for the left side of the missing length of the triangle, I subtracted 3 cm from 7 cm  to get 4 cm. (7−3=4 cm)
To find for the bottom side of the missing length of the triangle, I subtracted 3 cm from 6 cm to get 3 cm. (6
−3=3 cm)
Now, I will find the area of the unshaded region.
A = 
(1)/(2) × base × height
A = 
(1)/(2) × 4 × 3
A = 6 cm
²
Then I will solve for the shaded region.
A = base 
× height
A = 7 × 6
A = 42 cm²
Subtract the area of the unshaded region from the area of the shaded region. (42 cm² − 6 cm² = 36 cm²)
The answer is 36 cm².

Which ordered pairs make both inequalities true? Select two options.y < 5x + 2

y > One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)

(0, 2)
(1, 2)
(2, –1)
(2, 2)

Answers

The ordered pairs which make both the inequalities true are (1, 2).

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given two linear inequalities,

y < 5x + 2 and y > 1/2 x + 1

Consider y < 5x + 2.

(-1, 3) ⇒ 3 < -5 + 2 ⇒ 3 < -3, which is not true.

(0, 2) ⇒ 2 < 0 + 2 ⇒ 2 < 2, which is not true

(1, 2) ⇒ 2 < 5 + 2 ⇒ 2 < 7, which is true

(2, -1) ⇒ -1 < 10 + 2 ⇒ -1 < 12, which is true

(2, 2) ⇒ 2 < 10 + 2 ⇒ 2 < 12, which is true

Consider  y > 1/2 x + 1.

Substitute the points which are true for first inequality in this one.

(1, 2) ⇒ 2 > 1/2 + 1 ⇒ 2 > 3/2, which is true

(2, -1) ⇒ -1 > 1 + 1 ⇒ -1 > 2, which is not true

(2, 2) ⇒ 2 > 1 + 1 ⇒ 2 > 2, which is not true.

Hence the point is (1, 2) which is true for both inequalities.

To learn more about Linear Inequalities, click on the link :

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Answer:

(0,2) and (1,2)

Step-by-step explanation:

Mrs, Williams is driving on the interstate at a rate of 58 mi/h. Write an expression for the distance she will drive in x hours

Answers

Distance = speed x time
Distance = 58 mi/h * (x) hours

We are assuming that the speed is remaining constant.

Final answer:

The expression for the distance Mrs. Williams will drive in x hours is Distance = 58x (in miles).

Explanation:

To write an expression for the distance Mrs. Williams will drive in x hours, we can use the formula: Distance = Speed x Time.

In this case, the speed is 58 mi/h and the time is x hours. So, the expression for the distance she will drive is Distance = 58x (in miles).

Learn more about Expression for distance driven here:

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a pie was cut into 8 slices equally if ruben are 3/4 of the pie how many slices did he eat? write the answer in eighths

Answers

If  the pie is cut into 8 slices he ate 6/8 of the pie.
The answer is 6Make the 8 = 8/1 * 3/4 = 24/4 = 6

First and second place in a contest use a ratio to share a cash prize. When first place pays $100 , second place pays $60. How much does first place pay when second place pays $36? Complete the ratio table to solve the problem. First 100 10 Second 60 36 First place will pay $ .

Answers

Answer:

First place would pay $60


Solve each inequality. Graph and check the solution.1. -3x > -18 ____________________

2. - y/2 < 4 __________________

3. -1 1b > 55 __________________

4. -c/2 < -1.5 _____________________

5. -x/5 > 1/20 ___________________________

6. 0.9 < -r ______________________________

7. -2b > 3 __________________________

8. -a/0.5 > -70 ________________________

Answers

Just divide and multiply BUT when you divide or multiply by negative numbers you switch the symbol.

#1 is -18÷-3= 6; x is less than 6
#2 is 4×-2= -8; y is less than -8
#3 I don't understand the question
#4 -1.5×-2= 3; c is less than 3
#5 is 1/20×-5= -0.25; x is less than -0.25
#6 is not possible
#7 is 3÷-2=-1.5; b is greater than -1.5
#8 is -70÷-0.5= 35; a is greater than 35

Tbh I don't think any of these are right but I tried and it took me awhile so :/