What is 2 4/9 as a decimal

Answer:

Number of stock A = 200

Number of stock B = 300

Step-by-step explanation:

Let :

Number of stock A shares = a

Number of stock B shares = b

Worth of stock A = 50 * a = 50a

Worth of stock B = 60 * b = 60b

50a + 60b = 28000 - - - (1)

Triple the value of stock B:

3 * 60 = 180

Value of stock A goes up by 50%

(100 + 50)% * 50 = 1.5 * 50 = 75

75a + 180b = 69000 - - - (2)

50a + 60b = 28000

75a + 180b = 69000

Multiply equation 1 by 3 and subtract

150a + 180b = 84000

75a + 180b = 69000

75a = 15000

a = 15000/75

a = 200

75(200) + 180b = 69000

15000 + 180b = 69000

180b = 69000 - 15000

180b = 54000

b = 300

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:

2.21

Step-by-step explanation:

2.96-0.75

Hope this helps.

Answer:

ACD

Step-by-step explanation:

VNQLW3M2L,Q;KJ52KQ

Answer:

Associative Property

Step-by-step explanation:

:)

Answer:-15/28

Step-by-step explanation:

2/1*x5/7x-3/8=-30/56 ÷2=-15/28

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:

your answer would be $60.32

Answer: 6 1/2

Step-by-step explanation:

six and 1 half of a hour

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:

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

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:

4 x 10⁵

so that i think will be OD)

Answer:

y = 3x + 7.

To graph the line mark off the 2 points and draw a line through them.

Step-by-step explanation:

The slope = (-2-7) / (-3-0)

= -9/-3

= 3.

The value of b is found using the point-slope form of a line:

y - y1 = m(x - x1)

using m = 3, (x1, y1) = (0, 7):

y - 7 = 3(x - 0)

y = 3x + 7.

Answer: No

Step-by-step explanation:

The range and the Domain aren’t equal

Answer:

Step-by-step explanation:

Grove City = 45,032

Franklin = 41,064

Franklin < Grove City

5 thousands > 1 thousand

Answer: 80

Step-by-step explanation:

First you split the shape into simple parts, and think about the measurements when you do so. Although you can't see my work, the way I split it is a rectangle that measures 8 by 4, and a rectangle that measures 8 by 6. You find the answer to these separately (32 and 48) and add them together (80).

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?

Answer:

Step-by-step explanation:

it can be written either as 15/7 or 15:7 to be a proportion, same goes for 16/8 and 16:8

Answer:No.

Step-by-step explanation:15 x 8 is 120 and 16 x 7 is 112 which isn’t equivalent

Answer:

1/3

Step-by-step explanation:

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:

X=17

Step-by-step explanation:

73+x=90 90-73=17

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:

b

Step-by-step explanation:

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: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000

Step-by-step explanation: just had this question on the test

Answer:

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

Step-by-step explanation:

i believe its something similar to this photo