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What are two rational numbers between -3/4 and -2/3

Vadim26 [7]

The two rational numbers between $- \frac{3}{4}$ and $- \frac{2}{3}$ is $- \frac{32}{48}$ , $- \frac{36}{48}$

<h3>How to find the rational numbers between -3/4 and -2/3?</h3>

In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).

given that -3/4 and -2/3

now take L.C.M between these two rational numbers is 12.

now multiply -3/4 with 3 both numerator and denominator

$- \frac{3}{4} \times \frac{3}{3} = - \frac{ 9}{12}$

again multiply -9/12 with 4 both numerator and denominator

$- \frac{9}{12} \times \frac{4}{4} = - \frac{36}{48}$

now multiply -2/3 with 4 both numerator and denominator

$- \frac{2}{3} \times \frac{4}{4} = - \frac{8}{12}$

again multiply -8/12 with 4 both numerator and denominator

$- \frac{8}{12} \times \frac{4}{4} = - \frac{32}{48}$

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3

Learn more about rational numbers, refer:

brainly.com/question/12088221

#SPJ9

8 0

1 year ago

Can someone help me with this

zimovet [89]

Answer:

Step-by-step explanation:

It pretty simple, you need to read the sentence and match the number.

Ex:

Seven more than one half = 7 more than 1/2

= 7+ 1/2

Because ‘more’ shows that you’re adding

While difference shows you’re subtracting

Quotient shows you’re dividing

And product shows you’re multiplying

And when it refers to ‘a number’ it means your variable which in this case is ‘n’.

6 0

3 years ago

Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the

german

Answer:

120x138 in or 11.5x10 feet

Step-by-step explanation:

Step 1:

convert the feet to inches

10(feet)*12(inches)=120 inches

Step 2:

120(width)+18(length)=138 inches

Step 3:

width: 120 in OR 10 feet

length: 138 inches OR 11.5 feet (when divided by 12)

Hope this helps!

8 0

3 years ago

Read 2 more answers

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a

Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

$\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}$

This can also be represented with:

$\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}$

Therefore, we need to identify our variables.

In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.

The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

(200, 23)
(500, 35)

Now, we can name our coordinates. We use this system:

(x₁, y₁)
(x₂, y₂)

This means that we can name our points:

x₁ = 200
y₁ = 23
x₂ = 500
y₂ = 35

Revisiting the rate of change formula, we can insert these values.

$\displaystyle \frac{y_2-y_1}{x_2-x_1}$

$\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}$

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

$\bullet \ \ \ y = mx + b$

We already know m:

$\displaystyle \bullet \ \ \ \frac{1}{25}$

We also know x and y (we take them from of the coordinate pairs):

$\bullet \ \ \ x = 200$

$\bullet \ \ \ y = 23$

Now, we can substitute these values into the equation and solve for b.

$\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15$

Now, we can set up our linear equation.

$\displaystyle y = \frac{1}{25}x + 15$

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

$\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43$

Therefore, the price of 700 business cards is equal to $43.

3 0

3 years ago

Carbon dioxide comprises approximately what percentage of the atmosphere

In-s [12.5K]

The Carbon Dioxide in the atmosphere is only very small relative to other gases. Typically, it only consists about 0.038 percent or 0.04 percent of the gases in the atmosphere.

<span>
Even though it is only small, CO2 is very important since it is one of the greenhouse gases which ensures that the Earth stays warm.</span>

8 0

3 years ago