All categories

3 years ago

5x + 10 = 20

Mathematics

1 answer:

Andrei [34K]3 years ago

4 0

To solve for <em>x</em>, we must first isolate the term containing <em>x</em> which in this problem is 5x.

Since 10 is being added to 5x, we subtract 10 from both sides of the equation to isolate the 5x.

On the left, the +10 and -10 cancel out and on the right, 20 - 10 is 10 and we have 5x = 10.

Now we can finish things off by just dividing both sides of the equation by 5. On the left the 5's cancel and on the right, 10 divided by 5 is 2 so <em>x = 2</em>.

You might be interested in

Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appr

amm1812

Answer:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

Step-by-step explanation:

The general formula for negations that will be applied is:

Statement: If x is y, then x is z

Negation: x is y and x is not z

Statement: If x is y, then x is z and w

Negation: x is y and either x is not z or x is not w

Applying those principles:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

4 0

2 years ago

Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\

Novay_Z [31]

<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

$sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

So we can rewrite this as:

$f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}$

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

$f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

Using graphing calculator, we get that this value occurs at:

$\boxed{x=-0.2}$

3 0

3 years ago

Help please ........

Licemer1 [7]

The answer would be A) 2,640.

In order to find this we must first find an amount of people per square feet. Since we are given that 10 people fit in a 5x5 square, we know that 10 people fit in 25 square feet. This will be the basis for our final calculation.

Now we need to find how many square feet we have. Since it is a quarter of a mile long, we'll divide the number of feet in a mile by 4.

5,280/4 = 1320.

Now we take the length and multiply it by the width, which is 5ft.

1320 * 5 = 6,600 square feet.

So we now know the size of the crowd. We can use that and multiply it by the factor that we found at the start to find the number of people.

6,600 square feet * 10 people/ 25 square feet = 2,640 people.

8 0

3 years ago

Which ratio is greater, 4:5 or 3:4?

Grace [21]

4:5
explanation-

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.

7 0

2 years ago

Read 2 more answers

Jackson is three times as heavy as Andrew. If the sum of their weight is 360 pounds, find Andrews weight

Delicious77 [7]

Answer: Andrew = 90 pounds

Explanation:
Assume Andrew weight is X
Since Jackson weight is 3 times Andrew
Then it’s 3x

3x + x = 360
4x = 360
x = 90

5 0

2 years ago

Read 2 more answers