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Pie
3 years ago
14

Rewrite the equation below so that it does not have fractions.

Mathematics
2 answers:
Eddi Din [679]3 years ago
6 0

15x = 48

Step-by-step explanation:

\begin{aligned}\rm\frac{3}{4}x-2&=\rm \frac{2}{5}\to(multiplied~by~20)\\\rm(20)\frac{3}{4}x-(20)2&=(20)\frac{2}{5}\\\rm 15x-40&=8\\\rm 15x&=8+40\\\rm 15x&=48\end{aligned}

lidiya [134]3 years ago
4 0

Answer:

\frac{15}{20} x-2=\frac{8}{20}

Step-by-step explanation:

\frac{3}{4} x-2=\frac{2}{5}

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

\frac{3}{4} =\frac{15}{20}

\frac{2}{5} =\frac{8}{20}

\frac{15}{20} x-2=\frac{8}{20}

You can then multiply both sides by twenty to solve this equation.

Hope this helps.

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A baking class had 45 students on Monday and only 32 students on Tuesday. What was the change in percent? (Round to the nearest
andrey2020 [161]

Answer:

28.89 percent

Step-by-step explanation:

45-32 is 13 and 13 is 28.89 percent of 45

Hope this helped!

7 0
3 years ago
The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

5 0
3 years ago
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
Bas_tet [7]
Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.

Feel free to ask further questions!
5 0
3 years ago
69+69+69+69+69+69+6?
ss7ja [257]

Answer:

420

Step-by-step explanation:

Simple addition! I double checked!

6 0
2 years ago
Read 2 more answers
Identify the terms and the like terms in this expression.
adoni [48]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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