A fraction that has the same number in the numerator
and the denominator is equal to what value?

Answer:

Step-by-step explanation:

x²+10x+21=0

x²+10x+(10/2)²-(10/2)²+21=0

x²+10x+25-25+21=0

(x+5)²-4=0

(x+5)²=4

(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²

(x+y)²=x²+2xy+y²

coefficient of x=2y

y²=[(coefficient of x)/2]²=(2y/2)²=y²

√(x + 1) + 3 = 0   ==>   √(x + 1) = -3

has no real solutions, since the square root cannot be a negative number. But if we were to ignore that for the moment, one might try taking the square of both sides, which gives

(√(x + 1))² = (-3)²   ==>   x + 1 = 9   ==>   x = 8

But this is not a valid solution, since

√(8 + 1) = √9 = 3 ≠ -3

While -3 is a square root of 9, we had started off with the *positive* square root of x + 1.

Answer:

[tex]P(Win) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]P(Win) = 0.30[/tex]

[tex]P(Lose) = 0.55[/tex]

Required

[tex]P(Win)[/tex]

This is already stated in the question as:

[tex]P(Win) = 0.30[/tex]

Answer:

The lower left one.

Step-by-step explanation:

If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.

Answer:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]

Step-by-step explanation:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]              (Isolate parentheses)

[tex]3w-6=3w-6[/tex]                      (Add six to both sides to isolate one variable w)

[tex]3w=3w[/tex]                                  (Divide by three to isolate variable w)

[tex]w=w[/tex]

Because we got [tex]w=w[/tex], that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.

I hope this helped :)

Answer:

The answer is (-2/3)x + 4.. I have added a picture with the solution

Answer:

A = 200.96 in² (Answer C)

Step-by-step explanation:

The formula for the area of a circle of radius (not diameter) is A = πr².

Here the diameter is 16 in, so the radius is half that, or 8 in.

Then the area of the circle in question is

A = π(8 in)² = 64π in²

If tis is evaluated, we get    A = 200.96 in² (Answer C)

Answer:

GIRL NO WAY IM LITTERALY TAKING THAT TEST RN AND IM TRYING TO FIGURE OUT THAT SAME QUESTION LOL

Step-by-step explanation:

BUT I THINK ITS -0.5 DONT TAKE MY WORD FOR IT IM JUST ASSUMING ITS THE ANSWER BC ITS THE ONLY ONE THAT MAKES SENSE

Answer:

Option A is correct answer

hear is explaination

[tex]\longrightarrow{\blue{a.\:90}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] - 3xy[/tex]

Plugging in the values "[tex]x = 5[/tex]" and "[tex] y = -6[/tex]", we have

[tex] = - 3(5)( - 6)[/tex]

[tex] = - 3( - 30)[/tex]

[tex] = 90[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

11

Step-by-step explanation:

4s-2/7=6

4s-2=6×7

4s-2=42

4s=42+2

4s=44

s=44/4

s=11

Answer:

s = 11

Step-by-step explanation:

[tex]\frac{4s - 2}{7} = 6[/tex]

[tex]\frac{7}{1} * \frac{4s-2}{7} = 6 * 7\\[/tex]

[tex]{4s - 2} = 42\\ +2 = +2\\\\4s= 44\\\\\\ 4s/ 4 = 44/4\\s= 11[/tex]

Answer:

Original Price = $72.

Step-by-step explanation:

You first need to know that $3.60 is 5% of the original price.

Then you need to multiply by 20, because 100/5 is 20, meaning that the price multiplied is $72.

The answer is $72.

Answer:

[tex]\frac{-4x+7}{2(x-2)}[/tex]

Step-by-step explanation:

[tex]For x \neq 1 \\\frac{\frac{3}{x-1}-4}{2-\frac{2}{x-1}}=\frac{\frac{3}{x-1}-\frac{4x-4}{x-1}}{\frac{2x-2}{x-1}-\frac{2}{x-1}}=\frac{\frac{-4x+7}{x-1}}{\frac{2x-4}{x-1}}=\frac{-4x+7}{2(x-2)}[/tex]

The equivalent expression is 2(x - 2) / (-4x + 7).

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the given expression:

[3/(x - 1) - 4] / [2 - 2/(x - 1)]

We need to find a common denominator for the two fractions in the numerator and denominator of the main fraction.

The common denominator for the numerator is (x - 1) and for the denominator is 2(x - 1).

We can then rewrite the expression as:

[3 - 4(x - 1)/(x - 1)] / [2(x - 1) - 2/(x - 1)]

Simplifying the numerator by distributing the -4:

(3 - 4x + 4) / (x - 1)

(-4x + 7) / (x - 1)

Now, simplifying the denominator by finding a common denominator:

2(x - 1) - 2/(x - 1)

= (2x - 2 - 2)/(x - 1)

= 2(x - 2)/(x - 1)

Substituting back into the original expression, we get:

(-4x + 7)/(x - 1) / [2(x - 2)/(x - 1)]

Multiplying by the reciprocal of the denominator:

(-4x + 7)/(x - 1) x (x - 1)/[2(x - 2)]

(-4x + 7)/[2(x - 2)]

Therefore,

The equivalent expression is 2(x - 2) / (-4x + 7).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

(a) -1

(b) -2

Step-by-step explanation:

(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1

(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)

Answer:

x=16

..................

Answer:

Step-by-step explanation:

3rd one

Answer:

x = 23

Step-by-step explanation:

2x + 19 + 5x = 180

I say this because it is an angle that is equivalent to the one adjacent to 2x+19, which is on a straight line. That means it is equal to 180.

7x + 19 = 180

180 - 19 = 7x

161/7 = x

x = 23

Step-by-step explanation:

5x+2x+19=180

7x+19=180

7x=180-19

7x=161

x=161/7

x=23

if u want more ans

5x

5×23

115

2x+19

2×23+19

65

hope it helps

Answer:

it is the second one

Step-by-step explanation:

the y intercept for the first one isnt the origin

It is decreasing from negative infinity to -2.5 for the first one

Answer:

3;  y=4

Step-by-step explanation:

2 should be distributed as 2y + 8; y = 4

2(y +4) = 4y

2y + 8 = 4y

8 = 2y

y = 4

Answer:

x = 8

Step-by-step explanation:

A² + B² = C²

x² + 15² = 17²

x² + 225 = 289

x² = 289 - 225

x² = 64

x = [tex]\sqrt{64}[/tex]

x = 8

Hope this helps!

Answer:

common difference = -6

Step-by-step explanation:

Answer:

[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]

Step-by-step explanation:

Given :

To find rational number between -2/3 and 1/2

Firstly need to equate their denominator

[tex]\frac{-2(4)}{3(4)} =\frac{-8}{12} \\\frac{1(3)}{4(3)} =\frac{3}{12}[/tex]

Now,

Rational number between these two numbers will be :

[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]

Answer: [tex]100\ cm^3[/tex]

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is [tex]160\ cm^3[/tex]

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]

Sand [tex]5x=5\times 20=100\ cm^3[/tex]

So, there is [tex]100\ cm^3[/tex] of sand in the mixture

Answer:

The x variable has an exponent of 2

Step-by-step explanation:

To be a linear equation, the highest power must be 1 on the variables

2x^2 +y =7 is quadratic since x^2 has a power of 2

Ans

i cant see the pic

Step-by-step explanation:

Answer:

B) 45°

Step-by-step explanation:

Because we are dealing with a right triangle, we have one angle which is a right angle and 2 angles that are the same measure since sinA=sinB. Since all the interior angles of a triangle must add up to 180°, then m∠A=45° because 2(45°)+90°=180°.

fifty two millione and seven hundred thirty six thousand and fifty

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!