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3 years ago

Solve the equation shown for x. 2/3 x -4 1/2 = -8

2 answers:

5 0

X = - 21/4

2/3x - 4 1/2 = - 8
2/3x = - 8 + 4 1/2

- 8 + 4 = - 4. Then do - 4 + 1/2 = - 3 1/2

2/3x = - 3 1/2

- 3 1/2 is the same as = - 7/2

2/3x = - 7/2

Flip the coefficient on the variable and multiply both sides by it.

(3/2)(2/3)x = - 7/2(3/2)

x = - 7/2(3/2)

x = - 21/4

liq [111]3 years ago

4 0

The answer would be -5 1/4

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Determine if each pair or ratio or rate is equivalent. 16 out of 28 and 240 of 560

Keith_Richards [23]

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3 years ago

68% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all, how many child tickets did it se

Mnenie [13.5K]

Answer:

$\boxed{\bf\: The \: park \: sold \boxed{ 34{}} \: child \: tickets.}$

Step-by-step explanation:

Given:

Percentage of Tickets sold at a water park - 68%

The Number of Tickets if the park sold in all - 50

To Find:

The Number of child tickets the park sold.

Solution:

We know that 68% equals to 68/100.

Step 1: Multiply 68/100 by 50 which is the number of tickets the park sold :-

$\sf \: = \: \cfrac{68}{100} \times 50$

Note:The Simplified form of 68/100 * 50 would be the answer to this question.

Step 2: Cancel One zero of 50 and one zero of 100,That is:-

$\sf = \cfrac{68}{ 10\cancel0} \times 5 \cancel0$

Results to,

$\sf = \cfrac{68}{10} \times 5$

Step 3: Cancel 5 and 10, That is:-

$\sf = \cfrac{68}{ \cancel{10 }} \times \cancel5$

Results to,

$\sf =\: \cfrac{68}{2} \times 1$

$\sf = \cfrac{68}{2}$

Step 4: Cancel 68 and 2, That is:-

$\sf =\: \cfrac{ \cancel{68}}{ \cancel2}$

Results to,

$\sf = \cfrac{34}{1}$

$\sf = 34$

34 is the result.

Hence,

$\underline{ \rm \: The \: park \: sold \: \bold{ 34 } \: child \: tickets.}$

________________________________

I hope this helps!

Let me know if you have any questions.I am joyous to help!

6 0

3 years ago

What is the slope of the line that passes through the points (-2,7) and (2,-5) in simplest form ?

creativ13 [48]

Its $m=\dfrac{\Delta y}{\Delta x}=\dfrac{7-(-5)}{-2-2}=\dfrac{12}{-4}=\boxed{-3}$ .

Hope this helps.

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3 years ago

Barbara, Mark, and Carlos participated in the third heat of “The Big Race”. Barbara thought she could win with a 3 meter head st

steposvetlana [31]

Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.

Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s

Mark:
t = 5 s

Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s

Summary:
Barbara: 13.3 s
Mark: 5 s
Carlos: 19 s

Answer:
The winner is Mark

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sasho [114]

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