What is the answer for x?

Answer:

The solutions to the system of equations will be:

[tex]y=6,\:x=0[/tex]

Step-by-step explanation:

Given the equation

[tex]-6y+11x=-36[/tex]

[tex]-4y+7x=-24[/tex]

solving the system of equations

[tex]\begin{bmatrix}-6y+11x=-36\\ -4y+7x=-24\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-6y+11x=-36\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-12y+22x=-72[/tex]

[tex]\mathrm{Multiply\:}-4y+7x=-24\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-12y+21x=-72[/tex]

[tex]\begin{bmatrix}-12y+22x=-72\\ -12y+21x=-72\end{bmatrix}[/tex]

[tex]-12y+21x=-72[/tex]

[tex]-[/tex]

[tex]\underline{-12y+22x=-72}[/tex]

[tex]-x=0[/tex]

[tex]\begin{bmatrix}-12y+22x=-72\\ -x=0\end{bmatrix}[/tex]

solving for x

[tex]-x=0[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{0}{-1}[/tex]

[tex]x=0[/tex]

[tex]\mathrm{For\:}-12y+22x=-72\mathrm{\:plug\:in\:}x=0[/tex]

[tex]-12y+22\cdot \:0=-72[/tex]

[tex]-12y+0=-72[/tex]

[tex]-12y=-72[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-12[/tex]

[tex]\frac{-12y}{-12}=\frac{-72}{-12}[/tex]

[tex]y=6[/tex]

Therefore, the solutions to the system of equations will be:

[tex]y=6,\:x=0[/tex]

Answer:

1 hour or 60 minutes later

Answer:

(4,3)

Step-by-step explanation:

2y = x + 2

x - 3y = -5

Rearrange the second equation to equal y.

x - 3y = -5

x + 5 = 3y

(x+5)/3 = y

Substitute into the first equation.

2y = x +2

2[(x+5)/3] = x + 2

(2x + 10)/3 = x + 2

2x + 10 = 3(x + 2)

2x + 10 = 3x + 6

10 - 6 = 3x - 2x

4 = x

Therefore, the correct ordered pair is (4,3) since x is equal to 4.

Answer:

Step-by-step explanation:

[tex]X + Y \geq 15\\\\10X + 5Y \leq 100[/tex]

we want to put it into terms of Y

[tex]y \geq 15 - x\\and\\5y \leq 100 - 10x\\y \leq 20 - 2x[/tex]

the graph is in the attached image. Any point in the shaded overlap region where x is greater than or equal to 0 (assuming you cannot have negative coins) works, e.g. (2, 14)

The solution of the inequalities is required.

One of the solutions is [tex](5,10)[/tex]

Number of dimes is [tex]x[/tex]

Number of nickels is [tex]y[/tex]

Minimum number of coins is 15.

So, [tex]x+y\geq 15[/tex]

Maximum total value of the coins is $1

So, [tex]0.1x+0.05\leq 1[/tex]

The equations are

[tex]x+y=15[/tex]

[tex]0.1x+0.05y=1[/tex]

Points of the first equation

[tex](0,15)[/tex] and [tex](15,0)[/tex]

Graph the points and draw a line through them.

Points of the second equation

[tex]x=0[/tex]

[tex]y=\dfrac{1}{0.05}=20[/tex]

[tex]y=0[/tex]

[tex]x=\dfrac{1}{0.1}=10[/tex]

[tex](0,20)[/tex] and [tex](10,0)[/tex]

Graph the points and draw a line through them.

The shaded regions can be determined by substituting the point in the equations.

One of the solutions is [tex](5,10)[/tex]

This means there are 5 dimes and 10 nickels.

[tex]5+10=15\geq 15[/tex]

[tex]0.1\times 5+0.05\times 10=1\leq 1[/tex]

Hence, one of the solutions is [tex](5,10)[/tex].

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Answer:

x = ± [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]|a|= \left \{ {a,if{a\geq 0} \atop-a, if {a<0}} \right.[/tex]

~~~~~~~~~~~~

7 | 3x | + 2 = 16

7 | 3x | = 14

| 3x | = 2

1). 3x = 2

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

2). - 3x = 2

x = - [tex]\frac{2}{3}[/tex]

Answer:

just type in -3

Step-by-step explanation:

Answer:

your answer would be $60.32

Answer:

8

Step-by-step explanation:

we can say that AD is congruent to DC

so your equation for x is: 4x - 1 = 2x

solve this to get x = 0.5

plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF

4(0.5) - 1 = 1

hypotenuse: 1 x 2 = 2

since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,

4(0.5) + 1 = 3

In the diagram, it shows that the legs of triangle are congruent

this means that FE, ED, BA, and BC are all congruent

since we know FE is 3, we know that all the other sides are 3 as well

this means that the perimeter of the triangle is: leg + leg + hypotenuse

so 3 + 3 + 2

the perimeter is 8

Answer:

r = 4

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

-5 + 22 = r - 4 + 3r + 5

Step 2: Solve for r

Step 3: Check

Plug in r to verify it's a solution.

Answer:90

Step-by-step explanation:

20+3(7+4)+5+2(7+9)

20+3×11+5+2×16

20+33+5+32

90

Answer:

90

Step-by-step explanation:

I know because I am in the future

Answer:

i belive the answer is 740,000 mg

Answer:

D

Step-by-step explanation:

let the number of songs Byron have be s songs.

s + 26 = 75

Answer:

D

Step-by-step explanation:

s= number of songs played.

s+26=75

s-26=75-26

s=49

Answer:

Associative Property

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

Grove City = 45,032

Franklin = 41,064

Franklin < Grove City

5 thousands > 1 thousand

Answer:x=21 2/3

Step-by-step explanation:

Answer:

x = 3/65

Step-by-step explanation:

3/5=13/x

3/5*1/13 = x

3/65 = x

Answer:

4

Step-by-step explanation:

The greatest common factor (GCF) of 12 and 40 is 4.

Answer:

133

Step-by-step explanation:

If you need an explanation please tell me.

Answer:

b

Step-by-step explanation:

Answer:

there are two variables x and y which variable do u need to find or do u need it in point slope form

Answer:

Simplifying

6x + 3y = 54

Solving

6x + 3y = 54

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.

6x + 3y + -3y = 54 + -3y

Combine like terms: 3y + -3y = 0

6x + 0 = 54 + -3y

6x = 54 + -3y

Divide each side by '6'.

x = 9 + -0.5y

Simplifying

x = 9 + -0.5y

Step-by-step explanation:

Ok, you should first order every number in the regular order (1,2,3,4,5,6,7,and so on) or (1.2,1.3,2.4,5.9).

43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7, 51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1.

Median means the exact middle and here there are total of 15 different numbers so we know this is going to be easier if this was even. 50.7 is the median because it is in the middle and there are an even number of numbers on each side to it, 7.

Answer: just to make it clear for people
it is 50.7

Answer:

4 x 10⁵

so that i think will be OD)

Answer:

i believe its the rise and the run of the slope.

Step-by-step explanation:

i believe its something similar to this photo

Answer:

c = 6P

Step-by-step explanation:

equation format: c = mP

c = the total cost Donna pays

m = the cost per pound of chocolate(6)

P = the amount of pounds Donna buys

Since we know the cost per pound is $6, we can input it into the equation format:

c = 6P

Now we have an equation that represents the total cost (c) that Donna pays for P pounds.

Let C = total cost that Donna pays.

Donna buys P pound at $6 per pound tells me to multiply.

C = 6P.

Understand?

The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.

To find the expected number of visits to 0 before reaching 4, analyze two cases:

By the given data, the probabilities of two cases are:

P(success) p = 1/4,

P(failure)=3/4.

The expected count of failures, X, can be found in terms of success probability p as

[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]

On substituting p = 1/4 gives:

[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]

On taking (1/4) gives

[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]

Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]

This forms a geometric series tends to infinity and the sum is given by :

[tex]S_\infty = a/(1-r)[/tex]

Here: a= 3/4

r = 3/4

Plugging these values into formula gives:

[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]

[tex]S_\infty= 3/4/(1-3/4)[/tex]

On subtracting the denominator gives:

= 3/4/(1/4)

On taking reciprocal gives:

= 3/4 * 4

On simplifying gives:

= 3

Substituting these value into given equation 1 gives:

E(X) = 1/4*[3]

On multiplying gives:

E(X) = 3/4.

Therefore, the  expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

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Answer:

X=17

Step-by-step explanation:

73+x=90 90-73=17

Answer:

ACD

Step-by-step explanation:

VNQLW3M2L,Q;KJ52KQ

Answer:

GCF is 2

Step-by-step explanation:

10+2+16