Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not

Answer:

Reason 1. Given

Statement 2. <CAD is congruent to <BAD

Reason 2. Definition of angle bisector

Statement 3. Segment AD is congruent to segment AD

Reason 4. All right angles are congruent

Reason 5. ASA

Answer:

48 =x

Step-by-step explanation:

3/4x + 12 = x

Subtract 3/4 x from each side

3/4x + 12-3/4x = x-3/4x

12 = 1/4x

Multiply each side by 4

12*4 =1/4x *4

48 =x

Answer:

x=48

Step-by-step explanation:

f(x) is basically just another way to write y.

If f(x)=x, then y=x.

x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)

1/4x=12 (Subtract 3/4 from both sides of the linear equation)

x=48 (Multiply both sides by 4)

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Well, we would find the volume of both the cylinder and the cone.

The formula to find the volume of a cylinder is V =  \pi  r^{2} h.

The formula to find the volume of a cone is V =  \frac{1}{3}  \pi  r^{2} h.

Now, when using pi (the symbol  \pi ), if the problem asks to use the approximate value of pi as 3.14, we'll use 3.14 to represent pi. If the problem asks for the exact answer, then we'll just put the pi sign next to our final answer we've gotten.

We can do both ways to solve with pi. Tho let's solve using the approximate value of pi.

One more thing. When there's an exponent in the problem, (such as  r^{2}  in the problem), that just means you would multiply the base, (which is r in  r^{2} ), by itself the number of times the exponent, (which is the number 2 in  r^{2} ), shows. For example, if it was  3^{2} , that would just mean we would multiply 3 times itself twice. So  3^{2}  would be the same as 3 times 3, which is 9. When you deal with variables in a problem, (the letters used to represent a value in the equation, such as a, b, c, d, etc.), they're solved in multiple ways. If a number is next to a variable, (for example, 3b), it would mean you are supposed to multiply the number times the variable. If a number is next to parenthesis, that would mean you would multiply the number times the answer from the parenthesis. In formulas, when all the letters and numbers are squished together in one line, that means you would multiply all of them times each other after they're individually solved. In this problem, r = radius and h = height.

So without further-a-do, let's begin! :)

So the question says that the radius of the cylinder is 10 centimeters, and the height is 20 centimeters. According to the formula given above, we would multiply the radius times itself twice, which would be 10 times 10, which equals 100, then multiply it by the height which is 20, so 100 times 20 = 2,000. If we were to find the exact volume, it would be 2,000 with the pi sign next to it, which would be 2,000 \pi . Though, let's find the volume with the approximate value of pi, 3.14. So 2,000 times 3.14 is 6280. The exact volume of the cylinder is 2,000 \pi and the approximate volume is 6280.

Now after we find the volume of the cone, we would need to find out how many times we'd need to use the cone to fill up the cylinder's volume.

To find the volume of the cone, we would do the same as last time. Since the cone's radius is 5 centimeters, and its height is 10 centimeters, we would first multiply the radius times itself twice, which would be 5 times 5, which is 25, then multiply that by the height, which would be 25 times 10, which is 250. The fraction part of the formula means this- the numerator "1" means you would multiply what you have so far times 1, and the denominator "3" means you will divide what you have so far NOW by 3. So 250 times 1 = 250, and 250 divided by 3 = 83.3333333333, though we'd say that answer up to the hundredths place, which would be 83.33. If you need the exact answer, we'd put the pi sign next to it as 83.33 \pi , and you're done.Tho we didn't find the approximate volume of the cone.So we'd trace back to what answer we had before moving on to the step with the fraction  \frac{1}{3} . Since we were on 250, we'd multiply that by 3.14, which is 785, and continue with what we did with the fraction. 785 times 1 = 785, and 785 divided by 3 = 261.666666667, and saying the answer up to the hundredths place, the approximate volume of the cone would be 261.66

Now since we know the volume of the cylinder, exact = 2,000 \pi  and approximate volume = 6280, this means this is how much of the cylinder should be filled when we use the cone to pour in the water.

We could easily determine this by division.

Finding with the exact volume, you would do 2,000 (from cylinder's volume) divided by 83.33 (from cone's volume), which is 24.0009600384, and since it's not a whole answer, you would move it up a whole number. Why you may ask? Well you can't pour 0.0009600384 of a cone's volume into the cylinder now can you? :P  So it would take 25 times of pouring the cone filled with water into the cylinder in order for the cylinder to be full using the exact volumes of both objects.

Now finding with the approximate volumes of both objects, we'd do the same we did last time. The cylinder's volume divided by the cone's volume, which is 6280 divided by 261.66, would be 24.0006114805, and saying the answer up to the hundredths place, 24.00, but for the same reason as the last one when we were using the exact volumes, we'd round 24 up a whole number, so it would approximately take 25 times to fill the cylinder with the cone.

Either way, using exact or approximate volumes, your final answer would be 25 times. =DI hope I helped! ^-^

By calculating the volume of cone and cylinder, we find that one need to 24 times use the completely filled cone to completely fill the cylinder with water.

The volume of cylinder is equal to the product of the area of the circular base and the height of the cylinder.

The volume of cone will be equal to one-third of the product of the area of the base and its height.

For a cylinder, the formula is πr²h. For a cone it is 1⁄3πr²h.

Volume of cylinder = π[tex]r^{2}[/tex]h =  π * 10* 10 * 20 = 2000π

Volume of cone =  [tex]\frac{1}{3}[/tex]*π[tex]r^{2}[/tex]h = 1/3 *  π * 5 * 5 * 10 = 250 π/3

Number of times one needs to use the completely filled cone to completely fill the cylinder with water =

= Volume of cylinder/Volume of cone

= 2000π / (250π/3) = 24

Learn more about volume of cone and cylinder here

https://brainly.com/question/16007458

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Answer:

There are 8 more girls

Step-by-step explanation:

If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.

Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

Answer:

Box 1 is F and Box 2 is -62.1

Answer:

5/9( F -32) = -62.1

Step-by-step explanation:

5/9( F -32) = C

We have the Celsius temperature and want to find the Fahrenheit temperature

5/9( F -32) = -62.1

Answer:

x = 105 km

Step-by-step explanation:

We can use ratios to solve

1 cm               15 cm

------------ = ------------

7 km            x km

Using cross products

1 * x = 7 * 15

x = 105 km

Answer:

[tex]105km[/tex]

c

Step-by-step explanation:

[tex]1cm = > 7km \\ 1cm = > 700000[/tex]

[tex]1 : 70000[/tex]

[tex]1cm = > 700000cm \\ 15cm = > x[/tex]

[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]

Use cross multiply

[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]

so,

[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]

[tex]15cm = 10,500m \\ 15cm = 105km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]

Step-by-step explanation:

[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]

Answer: A circle divided into 10 equal parts with 8 parts shaded

Step-by-step explanation:

Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.

A circle divided into 5 parts with 1 part shaded = 1/5

A circle divided into 10 parts with 5 parts shaded = 5/10

A circle divided into 6 parts with 2 parts shaded = 1/3

A circle divided into 10 parts with 8 parts shaded = 8/10

Okay so looking at this we can see that they don't have a common denominator so lets fix that

1/5 = 6/30

5/10 = 15/30

1/3 = 10/30

8/10 = 24/30

3/5 = 18/30

Now lets find which one is greater than 3/5

Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.

Answer: B for short

Step-by-step explanation:

All credit to the person above me! <3

Answer:

n =3

Step-by-step explanation:

20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.

when simplified, you get 1:3

Answer:

1:30

Step-by-step explanation:

minutes : hour
20           : 1
convert the hour into minutes
1 hr = 60 minds

20            : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1                 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1                 : 30

Answer:

can you please give a correct question next time or please make the question clear for the answerer.

thank you

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

13 + 25 = 38

So 5 would be the correct answer for what is the distance.

Corrected Question

e(x)=840-52.5x

Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top of a hill. Since e(14) = ?, the elevation of the cable car will be meters from the ground minutes after it begins descending from the top of the hill.

Answer:

e(14) =105 meters

Elevation of the cable car 14 minutes after it begins descending from the top of the hill= 105 meters from the ground

Step-by-step explanation:

Given the elevation, e(x) in meters, of a cable car from the ground , x minutes after it begins descending from the top of a hill.

e(x)=840-52.5x

e(14)=840-52.5(14)

e(14)=840-735

e(14)=105 meters

Since e(14) =105 meters, the elevation of the cable car will be 105 meters from the ground 14 minutes after it begins descending from the top of the hill.

Answer:

The numbers are closer to each other and the range will be smaller. The numbers will also be closer to the mean and median.

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

Take any two points on the line and calculate the slope using the formula

(y2-y1) / (x2-x1) and you should get your slope.

Answer:

2125

Step-by-step explanation:

of means multiply

85% * 2500

Change to decimal form

.85* 2500

2125

Answer:

2

Step-by-step explanation:

[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]

You can check this by working backwards and expanding:

[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]

Hope this helps!

Answer:

Midpoint of the line segment = ( 0.5 ,-3.5) =

Step-by-step explanation:

Given the co-ordinates of two points are

(-2 , -5) and ( 3, -2)

Let    (x₁ , y₁) = ( -2 , -5)

        (x₂ , y₂) = ( 3 , -2 )

Midpoint of the line segment

                          =       [tex](\frac{x_{1} +y_{1} }{2}, \frac{x_{2}+ y_{2} }{2} )[/tex]

Midpoint of the line segment

                          =       [tex](\frac{-2 +3 }{2}, \frac{-5- 2 }{2} )[/tex]

Midpoint of the line segment = ( 0.5 ,-3.5)

Answer:

4

Step-by-step explanation:

LJK is a special right triangle with angle measures of 90° 60° 30°

If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2

LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4

Answer:

[tex] = {b}^{3} [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \frac{ {b}^{7} }{ {b}^{4} } \\ = {b}^{7 - 4} \\ = {b}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

$26934.56

Step-by-step explanation:

The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:

[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]

n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000

[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56

Answer: x= 6

Step-by-step explanation:

2 +x + 1 = 2x -3

 1x + 3 = 2x -3

       +3          +3

1x + 6 =2x

-1x          -1x

  6= 1x

x= 6

Answer:12-9=3

Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9

Answer : The equivalent expression of the given expression is 1.

Step-by-step explanation :

According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).

The given expression is:

(11²)⁴ ÷ 11⁸

First we have to solve bracket.

= (11)⁸ ÷ 11⁸

By dividing this expression, we get:

= 1

Therefore, the equivalent expression of the given expression is 1.

Answer:

[tex]y= 500(1+0.15)^x[/tex]

Step-by-step explanation:

This problem can be solved using concept of compound interest

In compound interest

if p is the principal amount

and r is the interest rate

then value of principal amount(A) after n years time is given by

A = p(1+r)^n

=>[tex]A = p(1+r)^n[/tex]

__________________________________

in the problem

in place of n we have x years

y is the amount which is the total amount after n years

p is the principal money deposited = $500

r = 15%

substituting these value in the formula for amount after n years we have

[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]

Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]

Answer:

I believe D

Step-by-step explanation:

If you multiplied -3 times 3 that would make -9

you can then add 9 + -9 and cross y off

Answer: $62100

Step-by-step explanation:

The following can be deduced from the information given in the question:

Credit balance = $54000

Total revenues = $72,200

Total expenses = $48,300

Dividends = $15,800

Closing entry= Credit balance + Total revenues - (Total expenses + Dividends)

= $54000 + $72,200 - ($48300 + $15800)

= $126200 - $64100

= $62100