At a computer store, the package of the DVDs sell for $15 each. One customer buys $120 worth of the DVDs.
Write an equation to model the number of the packages of the DVDs the customer bought, and then solve the equation. Plus, I need help with question number 9. A and B of Solve Simple Equation Word Problem will be marked as brainliest if your answer fully completed with complete step-by-step explanation! :)

Answer:

She earned 300 dollars by selling 100 headbands.

Answer:

the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]

So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

Answer:

9

Step-by-step explanation:

13*3=39

48-39=9

Answer:

48-39=9

        ^

(13 x 3=39)

Answer:

x= -9

Step-by-step explanation:

-8-3x+8=27

-8+8=0

-3x=27

divide by -3 both sides

27÷-3= -9

x= -9

Answer:

16.27778 m/s

97666.6667 cm/min

Step-by-step explanation:

a. To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18.

m/s = (58.6 * 5) /18 = 16.27778 m/s

b. 1 Kilometer/Hour = 1666.66666666667 Centimeter/Minute

so 58.6 * 1666.666 =97666.6667 cm/min

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

Answer:

1. 58 = 5x-2, 60 = 5x, x = 12

2. 134 = 16x+22, 112 = 16x, x = 7

3. 125 = 7x-1, 126 = 7x, x = 18

4. 133+9x+2 = 180, 9x=45, x=6

5. 8x-77 = 3x+38, 5x = 115, x=23

6. 11x-47 = 6x-2, 5x = 45, x=9

7. 13x-21 = 5x+75, 8x = 96, x=12

8. 5x+3+9x-33 = 180, 14x = 210, x=15

9. 8x-31 = 6x+3, 2x = 34, x=17

5y+35+6(17)+3 = 180, 5y = 40, y = 8

10. 29x-3+15x+7 = 180, 44x = 176, x=4

13y-17+15(4)+7 = 180, 13y = 130, y=10

1. x = 12

2. x = 7

3. x = 18

4. x = 5

5. x = 23

6. x = 9

7. x = 12

8. x = 15

9. x = 17; y = 8

10. x = 4; y = 10

To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:

Let's solve the given problems as shown below given that line l is parallel to line m:

1. [tex]58 = (5x - 2)[/tex] (corresponding angles)

solve for x

[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)

[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)

[tex]12 = x\\x = 12[/tex]

2. [tex]134 = 16x+22[/tex] (alternate exterior angles)

[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)

[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)

[tex]7 = x\\x = 7[/tex]

3. [tex]7x - 1 = 125[/tex] (alternate angles)

[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]

4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)

[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]

5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)

[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]

6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)

[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]

7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)

[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]

8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)

[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]

9. [tex]8x-31 = 6x+3[/tex] (alternate angles)

[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]

Solve for y

[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)

[tex]5y + 35 + 6x + 3 = 180\\[/tex]

Plug in the value of x

[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]

10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)

Solve for y

[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)

Plug in the value of x

[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]

Learn more about parallel lines here:

https://brainly.com/question/16227989

Answer:

39 and 86.

Step-by-step explanation:

39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.

Answer:

D

Step-by-step explanation:

Negative numbers are less than zero.

Thats insane tho!

Whats ur aops class that you take?

Step-by-step explanation:

4,6 and 8 are composite numbers

and 2 is an prime number

hope it helpful

Answer:

4 , 6 , & 8 are composite numbers

Answer:

Answer: he could work 7 hours tutoring and 6 hours clearing tables

Step-by-step explanation:

The system of inequalities can be used to find the number of hours Logan

can spend on each job in a week.

Response:

The system of inequalities are;

A possible solution of the system of inequality obtained from the graph is the point (5, 8)

The amount Logan makes per hour tutoring = $18 per hour

The amount he makes clearing tables = $10 per hour

Number of hours Logan can work in a week = 13

Amount he must earn in a week = At least $170

Number of hours he spends tutoring = x

Number of hours he spends clearing tables = y

Based on the given information, we have;

Please find attached the graph of the above inequality showing the feasible region.

A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;

Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.

Learn more about inequalities here:

https://brainly.com/question/8284035

Answer: A -11

Step-by-step explanation: trust me

Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.

Step-by-step explanation:

Answer: A. $5.70

Step-by-step explanation:

Answer:

25[tex]\pi\ m^2[/tex]

Step-by-step explanation:

Given that:

A large circle in the park has its middle part painted.

The circle is divided in 4 equal parts.

Radius of the circle = 10 meters

To find:

Area of each section of the circle, [tex]A[/tex] = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:

[tex]Area = \pi r^2[/tex]

Here, [tex]r = 10 m[/tex]

Putting the value in the above formula, we get:

So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]

Now, there are 4 equal parts of the circle, therefore area of each section will be equal.

Area of each section of the circle:

[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]

Answer:

Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"

Let x = gallons to fill the tank

14

multiply by 12

12*3%2F4x = 12*1%2F6x + 12(14)

3(3x) = 2x + 168

9x - 2x = 168

7x = 168

x = 168/7

x = 24 gallons

:

see if that is true

1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank

Amswer

it is b Step-by-step explanation:

Answer:

Step-by-step explanation:

221/17= 13 miles per hour over

30 limit + 13 over = 43mph

Answer:

43

Step-by-step explanation:

Answer:

C) 115 degrees

Step-by-step explanation:

A line is 180 degrees.

This means that the other side of the line with an angle of 115 degrees will be 180-115=65 degrees.

The angle above that will be 115 and the other will be 65.

Line v is similar to line u. This means that it is 115 degrees because the question mark is at the spot that is 115 degrees in the above angles.

Answer:

The answer is (4,1). Substitute the x and y values into the system and you should have the answer.

Answer:

option one

Step-by-step explanation:

Answer:

95.40

Step-by-step explanation:

first u do 10% and that is 47.7

then 20% is 47.7 times 2 and that is 95.40

Answer:

[tex]\huge\boxed{\sf \$ \ 95.4}[/tex]

Step-by-step explanation:

Commission = 20 % of $477

[tex]\sf = \frac{20}{100} * \$ \ 477\\\\= 0.2 * \$ \ 477\\\\= \$ \ 95.4\\\\He \ got \ a \ commission \ of \ \$ \ 95.4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

No!!

Step-by-step explanation:

For every 1 pound it costs $2⁵⁰

For every 2 pounds it costs $5⁰⁰

For every 3 pounds it costs $7⁵⁰

and so on going by 2.50 each pound.

just add you the numbers and you will get the answer

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

Answer:

|-10 - (-8)|

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

Evan was not correct 125% means he over doubled his time doing homework. To double his time he would need 40 hours, and he only did 25.

Answer:

x = 18

Step-by-step explanation:

1/2 x - 7 = 1/3 (x - 12)           Remove the brackets on the right

1/2x - 7 = 1/3 x - 12*1/3

1/2x - 7 = 1/3 x - 4               Subtract 1/3 x from both sides

1/2x - 1/3x - 7 = - 4             Combine like terms on the left

1/6x - 7 = - 4                       Add 7 to both sides

1/6 x = - 4  + 7                    Combine the right side

1/6 x = 3                             Multiply both sides by 6

6 * 1/6x = 3*6

x = 18

Answer:

B.x= -4 and E. x= 10 are the answers