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3 years ago

Can you solve and explain you would use in solving a 2 step equations

Mathematics

2 answers:

Leni [432]3 years ago

5 0

Answer:

I have 488 books in my library. 59 books are taken away, and then 159 books come to the library. How many books does the library have now? 488-59=429 429+159=588

Step-by-step explanation:

2 step problems have two steps, like (1+2)-3=0

ehidna [41]3 years ago

4 0

What you would use in a 2 step equations is to have more than one operation. Or to do a 2 - step - equation.

You have to simplify a lot of things.

You would use addition or subtraction and then multiplying or dividing.

And finally, you would get the answer for that variable.

For example, 2x+3=3*4

3x+3=3*4

3x+3=12

-3 -3

--------------

3x=9

x=3

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The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the

yuradex [85]

Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

$y=x\,(10-x)=10x-x^2$

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

$y=ax^2+bx+c$

is given by the formula:

$x_{vertex}=-\frac{b}{2\,a}$

which in our case gives:

$x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5$

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

$y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25$

8 0

3 years ago

X^2-5x-6<br> X^2+3x-40<br> X^2+3x-4

luda_lava [24]

x² - 5x - 6

= x² + x - 6x - 6

= x(x + 1) - 6(x + 1)

= (x - 6) (x + 1)

x² + 3x - 40

= x² + 8x - 5x - 40

= x(x + 8) -5(x + 8)

= (x - 5) (x + 8)

x² + 3x - 4

= x² + 4x - x - 4

= x(x + 4) -1(x + 4)

= (x - 1) (x + 4)

4 0

3 years ago

please help! I need to solve kt algebraically and if you can show your work/explain how you got the answer that would help a ton

Tasya [4]

Step-by-step

=> 900=-100x+300

=> -100x+300=900

=> -100x=900–300

=> -100x=600 divide both side by -100

=> x=-6

3 0

2 years ago

Read 2 more answers

Find the number of possible outcomes. A jewelry store sells gold and

Dmitry [639]

Answer:

The number of possible outcomes are 8.

Step-by-step explanation:

Given that,

A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.

We need to calculate the number of possible outcomes

Using given data,

Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)

So, Outcomes = 8

Hence, The number of possible outcomes are 8.

7 0

3 years ago

Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Par

Verdich [7]

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5