If Y=x-5 and 20y -5y=15 what is the value of X?

Answer:

x=6, x= -5

Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

Step-by-step explanation:

[tex] {x}^{2} - x - 30 = 0[/tex]

➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]

➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]

➡️ [tex](x + 5) \times (x - 6) = 0[/tex]

➡️ [tex]x + 5 = 0[/tex]

➡️ [tex]x - 6 = 0[/tex]

➡️ [tex]x = - 5[/tex]

➡️ [tex]x = 6[/tex]

➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]

Answer:

Step-by-step explanation:

Bonjour,

2^4 * 7^3 => 16* 343 = 5488

21 952 / 5 488 =4

115 248/5 488 =  21

9514 1404 393

Answer:

  2⁴·7³

Step-by-step explanation:

The set of primes that are factors of 21952 is {2, 7}.

The set of primes that are factors of 115248 is {2, 3, 7}.

Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.

The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.

The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.

So, the Highest Common Factor of the two numbers is 2⁴·7³.

Answer:

1/18

Step-by-step explanation:

Probability of spinning red=2/6=1/3

Probability of spinning green=1/6

probability of spinning green and then red=(1/6)*(1/3)=1/18

Answer:

95

Step-by-step explanation:

you can watch answer in photo. by the way where r u from?

Answer:

I hope it helped U

stay safe stay happy ❤️❤️

Answer:

7.11 / 9 = 0.79

Step-by-step explanation:

9514 1404 393

Answer:

   4x^2 +5x -6

Step-by-step explanation:

The remaining empty space is the difference between the original amount of empty space and the volume that was filled.

  (8x^2 +2x -4) -(4x^2 -3x +2) = 8x^2 +2x -4 -4x^2 +3x -2

  = (8 -4)x^2 +(2 +3)x +(-4 -2)

  = 4x^2 +5x -6

The jar could hold 4x^2 +5x -6 more cubic inches.

Answer:

hey

here is the attachment of your question

Answer:

[tex]thank \: you[/tex]

Answer:

1) The polar form of that equation will be r= √5cos(2θ)

2) i am stuck on this one (sorry)

Step-by-step explanation:

(i) We know that [tex]x = r\cos{\theta}\:\text{and}\:y = r\sin{\theta}.[/tex] So we can write the given equation as

[tex]r^2\cos^2\theta - r^2\sin^2\theta = 5[/tex]

[tex]\Rightarrow r^2(\cos^2\theta - \sin^2\theta) = 5[/tex]

[tex]r^2 = \dfrac{5}{(\cos^2\theta - \sin^2\theta)}[/tex]

[tex]\:\:\:\:\:=\dfrac{5}{\cos{2\theta}} = 5\sec{2\theta}[/tex]

(ii) Recall that

[tex]\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}[/tex]

[tex]\csc{\theta} = \dfrac{1}{\sin{\theta}}[/tex]

so we can write r as

[tex]r = 8\cot{\theta}\csc{\theta}[/tex]

[tex]\:\:\:\:= 8\left(\dfrac{\cos{\theta}}{\sin{\theta}}\right)\left(\dfrac{1}{\sin{\theta}}\right)[/tex]

[tex]\:\:\:\:= 8\left(\dfrac{x}{y}\right)\!\left(\dfrac{r}{y}\right) = \dfrac{8xr}{y^2}[/tex]

Upon simplification, we get

[tex]y^2 = 8x[/tex]

Answer:

Ab paralelo DC

Step-by-step explanation:

Answer:

The last step is to simplify the result if it can be done. To simplify a fraction, you have to find the greatest common factor (GCF) of both the numerator and the denominator. The GCF is the largest number that can be evenly divided into both numbers. In the case of 12 and 96, 12 happens to evenly divide into 96.

Answer:

hlo

Step-by-step explanation:

which Id I s ths and if u needs we can play t or d join eew-vtej-rxt

Answer:

thanks for the point back

Step-by-step explanation:

thanks

Hi :)

Radius is half the diameter

4.6 mm (2) = 9.2 mm

The diameter of the circle is 9.2 mm.

Answer: (1, 2)

Concept:

There are three general ways to solve systems of equations:

Since the question has specific requirements, we are going to use elimination

Solve:

Given expressions

x + 5y = 11

-x + 4y = 7

Add both equations together to elimination [x] variable

(x + 5y) + (-x + 4y) = 11 + 7

x - x + 5y + 4y = 18

9y = 18

Divide 9 on both sides

9y / 9 = 18 / 9

[tex]\boxed{y=2}[/tex]

Find the x value

x + 5y = 11 ⇔ Given equation

x + 5(2) = 11 ⇔ Substitute values of y

x + 10 = 11 ⇔ Simplify by multiplication

x + 10 - 10 = 11 - 10 ⇔ Subtract 10 on both sides

[tex]\boxed{x=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Stack the two equations and add them together as if they were multi-digit numbers. That will eliminate the x and then you can solve for the y. Knowing y you can then go back and solve for x.

Step-by-step explanation:

x + 5y = 11

-x + 4y = 7

---------------- "Add" the equations above to get the equation below.

9y = 18

Now you can divide both sides by 9 to see that y is equal to 2.

Now that you know that y = 2 you can substitute y in either of the two original equations. I'll use the first.

x + 5(2)= 11

x + 10 = 11

x = 1

Answer:

8/3 or 2.6667

Step-by-step explanation:

when you divide fractions you use a technique called KCF

K = keep

C = change

F = flip

You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]

you keep [tex]\frac{2}{3}[/tex]

you change the symbol, so from ÷ you change it to x

and flip the last fraction, so you would have  [tex]\frac{4}{1}[/tex]

then you solve it

[tex]\frac{2}{3}[/tex] x  [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]

The result of 2/3 divided by 1/4 in simplest form is 8/3 .

Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.

Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].

Division of fractional terms:

[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]

Apply, division process of fractional terms.

[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]

[tex]= \frac{8}{3}[/tex]

Know more about division,

https://brainly.com/question/29775887

#SPJ6

Answer:

if it's 6 ft tall cast a 4 ft long shadow there's a difference of two feet so you look at 23 ft Shadow add two ft and u have 25 ft tall

Answer:

Step-by-step explanation:

2y = 3 -2x

Rearrange the equation to slope-intercept form

y = -x + 3/2

Slope of line is 3/2.

Answer:

x=12

Step-by-step explanation:

2x-15 + 2x-6 = 15

4x = 36

x = 9

2 x 9 - 6 = 12

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Answer:

d= 7.81

r= 3.905

Step-by-step explanation:

Answer:

The correct answer is D

Take D

Answer:

100%

Step-by-step explanation:

This question doesn't really make sense but technically it's 100%

Answer:

2 4

- _

8 16

Step-by-step explanation:

1 2

- X -

4 2

Or

1. 4

- X -

4. 4

Answer:

Step-by-step explanation:

The unknown number is reflected as n.

The sum of 5 and four times a number is 32:

Four less than the square of a number is 12:

The product of 3 and four more than a number is 20:

Answer:

157.5

Step-by-step explanation:

14×180/16

= 315/2

= 157.5

Answer:

Step-by-step explanation:

16 sides  

n-2=14

14x 180 = 2250

2250/16 =157.5 = 158

Answer:

Step-by-step explanation:

The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.

Your chances of rolling a 3 are 1 in 6 = 1/6

Your chance of getting blue is 1/2

Your chances are 1/2 * 1/6 = 1/12

As a decimal that is 0.0833333

As a % it is 8.3333 %

Answer:

Here is your answer . Hope this is helpful to you.

Answer:

132

Step-by-step explanation:

First you need to find the area of both regions (shaded and not shaded)

To find the shaded regions area multiply length by width

20 x 8 = 160

Then find the area of the unshaded region

7 x 4 = 28

Finally subtract the unshaded region from the shaded region

160 - 28 = 132