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3 years ago

100 POINTS!!! will give BRAINLIEST to the person who does all 3 correctly! With explanation!

Mathematics

2 answers:

Alisiya [41]3 years ago

8 0

Answer:

29.2%

Step-by-step explanation:

The fixed expenses are rent and the emergency fund

150+30 =180

The total income is 617

The percent is fixed expenses/income

180/617

.291734198

Multiply by 100% to change from decimal from to percent

29.1734198%

Rounding to the nearest tenth

29.2%

Irina-Kira [14]3 years ago

5 0

Answer:

Option A, %29.2

Step-by-step explanation:

Step 1: Find the total fixed expenses

150 + 30

180

Step 2: Find the percentage

180 / 617

0.2917... * 100

%29.17

%29.2

Answer: Option A, %29.2

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Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

Verify each solution

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

Is the solution

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3 years ago

What is the next number in the sequence? 7….10….16….28…?

alexira [117]

I think that 52 is next number

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3 years ago

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A cookie jar contains four oatmeal raisin, one sugar, nine chocolate chip, and six peanut butter cookies. If one is chosen at ra

Shtirlitz [24]

Answer:

chocolate chips

Step-by-step explanation:

The p denotes here the probability which is given below;

Given that

There is 4 oatmeal raisin

1 sugar

9 chocolate chips

And, 6 peanut butter cookies

So based on the above information, the probability when the one is chosen would be of chocolate chips as it contains the hight value in the cookie jar

So the same is to be selected

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2 years ago

On the first day of ticket sales the school sold 1 senior citizen ticket and 5 child tickets for a total of $60. The school took

Stells [14]

Answer:

Step-by-step explanation:

Let's start off with the first equation

5x + y = 60

We need to find what X and Y are.

Let's try subtracting a few numbers from 60.

Let's do 60 - 55 = 5

11x5 = 55

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5 = Seniors Ticket Cost

Without them being the same price!

So using the numbers we found, we can now solve the second one

14x5 = 70

11x11 = 121

70 + 121 = 191

There we go!

Hope this helped! Please give brainiest if you can :)

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3 years ago

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