how do i multiply fractions?

Answer:

(x-5)(x+4) = 0

Step-by-step explanation:

We are given the quadratic equation x²-x=20

And we want to factor it, meaning that we want to split it apart, usually to make it easier to solve.

First, let's subtract 20 from both sides, as when all 3 terms of a quadratic equation are on the same side, it makes it a lot easier to solve.

x² - x = 20

    -20  -20

_______________

x² - x - 20 = 0

Now, we can get on to factoring.

In a quadratic equation, written as ax² + bx + c = 0 (like in here), b (the coefficient in front of just x, not x²) is equal to the sum of two numbers, while c is the product of the same two numbers.

The coefficient in front of x (b) is -1, and c is equal to -20.

Now think: which two numbers add up to -1, and multiply to equal -20?

Those numbers are -5 and 4.

Now, to factor a quadratic, we split it up into 2 binomials multiplied by each other, and each binomial is x + one of the numbers we found above. It looks like this: (x+1)(x+2). Remember that this only affects the left side; the right side stays the same.

In this case, we have -5 and 4, which will take the place of 1 and 2 in the example above.

Therefore, the factored form of x² - x - 20 = 0 is (x-5)(x+4) = 0.

Answer:

32in2

Step-by-step explanation:

When Jake rolls the same dice 720 times, the number of 5s will be 135.

It should be noted that the frequency for 5 is 75 out of 400. This will be:

= 75 / 400

= 3/ 16

Therefore, when Jake rolls the same dice 720 times, the number of 5s will be:

= 3/16 × 720

= 135

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The width of rectangular garden comes out to be 20 feet .

Let the width be x feet .

Therefore , length is ( x + 32 ) feet .

Formula for perimeter of a rectangle :

perimeter = 2 ( length + breadth )

By substituting the values in the formula above , the equation becomes ,

2 ( x + x + 32 ) = 144

2 x + 32 = 144 / 2

     2 x = 40

        x = 20

Hence , width = 20 feet , length = 52 feet .

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The required probability is  [tex]\frac{1}{10}[/tex].

This problem is related to probability.

First we have to calculate the number of outcomes and then the number of favorable outcomes.

In this case the numbers are from 1 to 150.

First we have to find the numbers which are perfect square between 1 to 150= {1,4,9,16,25,36,49,64,81,100,121,144}

Now we have to find the numbers which are perfect cube other than those which came in square={8,27,125}

Here the number of favorable outcome is 150 minus number of elements in set of perfect square and perfect cube.

Now the probability of the required problem is = [tex]\frac{15}{150}[/tex]

                                                                         = [tex]\frac{1}{10}[/tex]

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Answer:

No solution

Step-by-step explanation:

Simplify and combine like terms

3x - 3 = 3x - 5

Subtract 3x on both sides.

-3=-5

No solution

Answer:

-2

Step-by-step explanation:

Answer: A. x=8

Step-by-step explanation:

0.4(5x-12)+0.5x=15.2

(0.4)(5x)-(0.4)(12)+0.5x=15.2

2x-4.8+0.5x=15.2

2.5x-4.8=15.2

2,5x-4.8+4.8=15.2+4.8

2,5x=20

(2.5)(x)=(2.5)(8)

Divide both parts of the equation by 2.5:

x=8

The number of people who like red color is 255 students when 85% said their favorite color was red.

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.

Given:

Total students =300

85% said their favorite color was red.

So, students whose favorite color was red

=85/100 *300

=85*3

= 255 students.

Hence, 255 students whose favorite color was red

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Step-by-step explanation:

i think it is 35 but im probaly wrong

Answer:

a=17, R=101

Step-by-step explanation:

10:

We know that if all angles of a triangle are congruent, the angles must be as well. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

We also know that all interior angles of a triangle add up to 180 degrees. If they are all equal this only leaves us with the possibility of every angle equaling 60 degrees, otherwise they wouldn't add up to 180 AND be equal simultaneously.

To find the value of a set the equation equal to 60.

[tex]4a-8=60[/tex]

Solve for a:

[tex]4a-8=60\\4a=68\\a=17[/tex]

19:

We know in a parallelogram all interior angles sum to 360 degrees.

Remember the sum of angle pairs between parallel lines is 180 degrees. Meaning if we add angles T and S and set them equal to 180 degrees we can then find the value of angle S as we would have the value of variable x.

[tex](4x+1)+(3x+4)=180\\7x+5=180\\7x=175\\x=25[/tex]

Now substitute in the known value of x to find angle S:

[tex]3(25)+4\\75+4\\79[/tex]

Angle S measures 79 degrees.

Using our previous knowledge of two angles on a parallel line summing to 180 degrees, we can find the measure of angle R by subtracting 79 from 180.

[tex]180-79=x\\101=x[/tex]

R=101

The difference between the area of the square and the area of the circle is C. 9x²(4 - π).

The area of the square will be:

= Side ×Side

= 6x × 6x

= 36x²

The area of the circle will be:

= πr²

= 3.14 × (3x)²

= π × 9x²

= 9πx²

The difference will be:

= 36x² - 9πx²

= 9x²(4 - π)

Therefore, the correct option is C.

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Answer:

Y+5=0

Step-by-step explanation:

Here,given eqn of line is 0.X+Y+1=0_____(i)

since required eqn is parallel to eqn (i)

0.X+Y+K=0____(ii)

passing point (-3,5)

putting the value of Y

5+K=0

.-.K=(-5)

r required eqn is Y-5=0

Answer:11.25

Step-by-step explanation:because we have to find out how many gallons we have in one hour so you divide both sides by 4

4/4 is 1 hour

3/4 is 0.75 gallons then you have to multiply both sides by 15

1 hour times 15 is 15 hours

the 0.75 x 15 is 11.25

so the answer is 11.25 gallons that she uses in 15 hours

hope this helps

40 black socks should be added to the suitcase( i.e., option h )

Let's take x = black socks added by Jamal

Based on the given condition, we have

[tex]\frac{10}{10 + x}[/tex] = 1/5

Here x ≠ -10

Because to define the fraction, the denominator should not be 0.

Now we need to find the value of x,

[tex]\frac{10}{10 + x}[/tex] = 1/5

50 = 10 + x

x = 40

Therefore 40 socks should Jamal add to the suitcase.

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Step-by-step explanation:

23 + 10 - 2 + 14 + 2

33 - 2 + 16

31 + 16 = 47

Answer:

Your answer would be 3.075.

Step-by-step explanation:

15 - 6.8 = 8.2

8.2 - 5 1/8 = 3.075

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

Hope this helps!

Have a great day and God bless! :)

Answer:

D. 140. ....,.....

Step-by-step explanation:

160-20=140

Answer:

Here SOLUTION: −5x + 4y = 20. 10x − 8y = −40.

Step-by-step explanation:

First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity.

Answer:

$3

Step-by-step explanation:

Divide 6 from 18 to find the cost per shirt.

18/6=3

3 dollars per shirt.

Hope this helps!

Please mark as brainliest if correct!

Answer:

five thousand clay to school

Answer:  13π/6    √45

Step-by-step explanation:

[tex]\displaystyle\\\sqrt{11} +3\approx6.32\\\\\pi +3,8\approx6.94\\\\Hence,\\\\6.32 < x,6.94\\\\\frac{61}{10}=6.1 \notin\\\\\frac{13\pi }{6}\approx6.81\in\\\\\sqrt{45}\approx6.71\in \\\\6\frac{1}{9}\approx6.11\notin\\\\\sqrt{83}-3\approx6.11\notin[/tex]

I might me wrong, but i believe that its -36.

Have a nice day <3

Answer:

II. 48.6×0.1

III. 0.0486×100

Step-by-step explanation:

48.6×0.1 = 4.86

0.0486×100 = 4.86

Answer:

ll and lll are equal.

Step-by-step explanation:

4.86x0.01 = 0.0486

48.6 x 0.1 = 4.86

0.0485 x 100 = 4.86

48.6 x 10 = 486

Answer: Between 2 and 7

Answer:

2 to 5

Step-by-step explanation:

i don't know because of i don't this transmission may not have the completed Questionnaire

The number of mezzanine tickets sold = 540

Total number of tickets sold = 910

Total number of tickets sold is the sum of the number of regular seats and the number of the mezzanine seats sold.

Let 'x' be the number of regular seats and 'y' be the number of mezzanine seats.

Then x + y = 910     ----------(1)

Cost of a regular seat = $ 18.50

So cost of x regular seats = 18.50x dollars

Cost of a mezzanine seat = $ 16.25

So cost of y mezzanine seats = 16.25y

Total amount of money she got by selling tickets = $ 15620

Therefore, 18.5x + 16.25y = 15620 ----------------(2)

Solve equations (1) and (2) for x and y.

Multiplying (1) with 18.5 throughout,

18.5x + 18.5y = 16835 ---------------(3)

Subtracting (2) from above equation (3), we get,

(18.5 - 16.25)y = 16835 - 15620

⇒ 2.25y = 1215

⇒ y = 1215/2.25

⇒ y = 540

Hence 540 mezzanine tickets were sold.

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Answer:

18.

Step-by-step explanation:

2 = 2

9 = 3*3

So, the LCD = 2*3*3     (no duplicates in the 2 lists).

= 18.