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meriva
3 years ago
13

Using the digits 0 to 9 at most one Time each,fill in the boxes below to write equations whose solution is 1/2

Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

The equation is 4x + 5 = 2x + 6

Step-by-step explanation:

The solution is \frac{1}{2} means x = \frac{1}{2}

Let us put the coefficient of x in the left hand side = 4 and the coefficient of x in the right hand side = 2

∵ 4x - 2x = 2x

Now we need two numerical terms their difference is 1 like 5 and 6 or 6 and 7 or 7 and 8 or 8 and 9

Let us take 5 and 6

∵ 4x + 5 = 2x + 6

- Subtract 2x from both sides

∴ 2x + 5 = 6

- Subtract 5 from both sides

∴ 2x = 1

- Divide both sides by 2

∴ x = \frac{1}{2}

∴ The solution is  \frac{1}{2}

The equation is 4x + 5 = 2x + 6

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.
Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x -0,3*x = x -24

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x

24=x-0,7*x \rightarrow 24 = x*(1-0,7)

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0
3 years ago
A gardener has a rectangle garden with an area of 374 yd.²The length of the garden is 17 yards the gardener wants to enlarge the
OLEGan [10]

Answer:

105 yards

Step-by-step explanation:

The other side is Width = 374/17 = 22.

So, the new width is 44 ( and the length is 17/2).

Perimeter = 2(17/2) + 2(44) = 17+88=105 yds.

So, 105 yards.

Mark me as Brainliest if this is correct! I really appreciate it! :D

3 0
4 years ago
Express 125 = 5x as a logarithmic equation.
Marizza181 [45]
Answer: x log[5] = log[125]

Explanation:

The original expression is 125 = 5^x

To express that as a logarithmic equation take logarithms on both sides:

log [125] = [log 5^x]

By the properties of the logartims of powers that is:

log [125] = x log[5]

And that is the equation required.

If you want to solve it, you can do 125 = 5^2, and apply the same property (logarithm of a power) to the left side, yielding to:

log [5^2 ]= x log[5]

=> 2 log[5] = x log[5]

=> 2 = x


3 0
3 years ago
Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 
Firlakuza [10]

Answer:

Hope it will help you

Step-by-step explanation:

<h2>Option B</h2>
7 0
4 years ago
Place in ascending order:<br> --8, -20, -v1
natima [27]

Answer:

-20, -8, -v1

Step-by-step explanation:

Descending order: -8, -20, -v1

Ascending: -20, -8, -v1

Hope this helps!

5 0
3 years ago
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