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lisabon 2012 [21]
3 years ago
9

e" class="latex-formula">
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0
The first step for solving this expression is to know that when there is a "+" in front of the parenthesis,, then the expression remains the same.
7 - 4
Now we will simply subtract the numbers to find our final answer.
3
Let me know if you have any further questions.
:)
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Write each set of fractions with the lowest common denominator and then find which fraction is greater. 4/7 and 5/8 3/8 and 4/9
Elan Coil [88]

Answer:

\frac{32}{56}\ < \frac{35}{56}

\frac{27}{72} \ < \frac{32}{72}

\frac{20}{24}\ < \frac{21}{24}

\frac{9}{30}\ >\frac{8}{30}

Step-by-step explanation:

Given that,

First set of fraction is \frac{4}{7}\ and \ \frac{5}{8}.

Second set of fraction is \frac{3}{8}\ and \ \frac{4}{9}.

Third set of fraction is \frac{5}{6}\ and \ \frac{7}{8}.

Fourth set of fraction is \frac{3}{10}\ and \ \frac{4}{15}.

Now,

Considering the first set of fraction:

LCM of 7 and 8 is 56. Now, multiply by 8 to both numerator and denominator to \frac{4}{7}. and multiply by 7 to both the numerator and denominator to \frac{5}{8}. We get new set of fraction as \frac{32}{56}\ and\ \frac{35}{56}.

∴\frac{32}{56}\ < \frac{35}{56}

Again considering the second set of fraction:

LCM of 8 and 9 is 72. Now, multiply by 9 to both the numerator and denominator to \frac{3}{8}. and multiply by 8 to both the numerator and denominator to \frac{4}{9}. We get new set of fraction as \frac{27}{72} \ and \ \frac{32}{72}.

∴\frac{27}{72} \ < \frac{32}{72}.

Again considering the third set of fraction:

LCM of 6 and 8 is 24. Now, multiply by 4 to both the numerator and denominator to \frac{5}{6}. and multiply by 3 to both the numerator and denominator to \frac{7}{8}. We get the new set of fraction as \frac{20}{24}\ and \ \frac{21}{24}.

∴\frac{20}{24}\ < \frac{21}{24}.

Again considering the fourth set of fraction:

LCM of 10 and 15 is 30.Now, multiply by 3 to both the numerator and denominator to \frac{3}{10}. and multiply by 2 to both the numerator and denominator to \frac{4}{15}.We, get the new set of fraction as \frac{9}{30}\ and \ \frac{8}{30}.

∴ \frac{9}{30}\ >\frac{8}{30}

6 0
4 years ago
20 points! o(* ̄▽ ̄*)\
Hatshy [7]

Answer:

\displaystyle y=8x

Step-by-step explanation:

We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.

So, we will first need to determine the slope. We can use the slope formula:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Where (x₁, y₁) and (x₂, y₂) are two points.

We have three points: (1, 8), (2, 16), and (3, 24).

Let’s pick two. We can use (1, 8) and (2, 16).

So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:

\displaystyle m=\frac{16-8}{2-1}

Evaluate:

\displaystyle m=\frac{8}{1}=8

So, our slope is 8.

Now, we can determine the equation using point-slope form:

\displaystyle y-y_1=m(x-x_1)

Where m is our slope and (x₁, y₁) is a point.

We know that the slope is 8, so we will substitute 8 for m.

We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:

\displaystyle y-8=8(x-1)

Solve for y. Distribute the right:

\displaystyle y-8=8x-8

Add 8 to both sides:

\displaystyle y=8x

And we have our equation.

Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.

5 0
3 years ago
Read 2 more answers
Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probab
MArishka [77]

Answer:

B. 1/15

Step-by-step explanation:

3 0
3 years ago
Which of the following is the inverse of f(x)=3-x/5?​
pshichka [43]

Answer:

-5x+3 OR 5x-3

Step-by-step explanation:

You find the inverse by replacing the x with the y, and solving for y. Doing this actually gives you -5x+3 but in this case,  the closest answer would be 5x-3.

UPDATE: -5x + 3 can be written as 3 - 5x lol

5 0
3 years ago
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charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take
cestrela7 [59]

Answer:

<u>25 minutes</u>

Step-by-step explanation:

From the table,

2 laps takes time 10 min.

4 laps takes time 20 min.

6 laps takes time 30 min.

8 laps takes time 40 min.

10 laps takes time 50 min.

So, we can deduce the relation between the number of laps and time

the time over the number of laps at each row = 5

Which mean 1 lap takes 5 minutes

Therefore, to run 5 laps, it takes = 5 * 5 = 25 minutes

3 0
3 years ago
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