−8x24y36−−−−−−−√3 PLEASE HELP ASAP

You deposit $2000 in an account that eams simple interest at an annual rate of 496. How

GenaCL600 [577]

Answer:

T=100I/PR

T=(100×500)/(2000×4.96)

T=5/(2×4.96)

T=5/9.92

T=0.5years

6 0

3 years ago

Tom has $15.86 to buy marbles that cost $1.25 each. he wants to know how many marbles he can buy. what should he do after he div

Oksanka [162]

Tom can buy 12 marbles.

4 0

3 years ago

Read 2 more answers

DJ Giovanni is making a playlist for a friend; he is trying to decide what 12 songs to play and in what order they should be pla

Elena L [17]

Answer:

5.78×10¹⁵

Step-by-step explanation:

The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.

The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.

The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.

The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.

The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.

Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.

So the total number of possible playlists is:

(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵

4 0

4 years ago

Solving one to two step equations . algebra 1 .

frozen [14]

Answer:

1.) k = 5

2.) n = -20

3.) p = -13

4.) m = -450

5.) b = -38

6.) n = -24

7.) x = 21

8.) x = 12

9.) b = -2

10.) b = 5

Step-by-step explanation:

To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.

1.) 55 = 11k

(11 and k are being multiplied, so you would divide)

Divide by 11 on both sides:

55 = 11k

/11 /11

5 = k

2.) Add 15 on both sides:

n - 15 = -35

+15 +15

n = -20

3.) Divide by -6 on both sides:

78 = -6p

/-6 /-6

-13 = p

4.) Multiply by 18 on both sides:

m/18 = -25

18(m/18) = (-25)18

m = -450

5.) Add 20 on both sides:

18 = -20 - b

+20 +20

38 = -b

Divide by -1 on both sides:

38 = -b

/-1 /-1

-38 = b

6.) Subtract 12 on both sides:

12 + n/4 = 6

-12 -12

n/4 = -6

Multiply by 4 on both sides:

4(n/4) = (-6)4

n = -24

7.) Multiply by 2 on both sides:

2(-7 + x/2) = (7)2

-7 + x = 14

Add 7 on both sides:

-7 + x = 14

+7 +7

x = 21

8.) Subtract 2 on both sides:

-4x + 2 = -22

-2 -2

-4x = -24

Divide by -4 on both sides:

-4x = -24

/-4 /-4

x = 12

9.) Add 9 on both sides:

7 = -8b - 9

+9 +9

16 = -8b

Divide by -8 on both sides:

16 = -8b

/-8 /-8

-2 = b

10.) Multiply by -3 on both sides:

-3(b - 14/-3) = (3)-3

b - 14 = -9

Add 14 on both sides:

b - 14 = -9

+14 +14

b = 5

3 0

3 years ago

Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.

emmasim [6.3K]

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

.

2x + 3 = 4x + 7

.

Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

.

2x + 3 - 3 = 4x + 7 - 3

.

Combining numbers on the left side and on the right side simplifies the equation to:

.

2x = 4x + 4

.

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

.

2x - 4x = 4x - 4x + 4

.

On both sides of the equation combine terms containing x to get:

.

-2x = 4

.

Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

.

x = 4/-2 = -2

.

So now that we know x = -2, we can return to either one of the original equations

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

.

y = 2x + 3

.

Then substituting -2 for x gives:

.

y = 2*(-2) + 3 = -4 + 3 = -1

7 0

3 years ago