At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?

Answers

Answer 1

Answer: 10 books

Step-by-step explanation:

Let the number of books bought be represented by x.

Let the number of dvds bought be represented by y.

The information given in the question can be formed into an equation as:

x + y = 18 ........ i

0.50x + 0.75y = 11 ....... ii

Multiply equation i by 0.75

Multiply equation ii by 1

0.75x + 0.75y = 13.50 ........ iii

0.50x + 0.75y = 11 ........ iv

Subtract iv from iii

0.25x = 2.50

x = 2.50/0.25

x = 10

Samuel bought 10 books


Related Questions

If seven is subtracted from six times a number, the result is ten

Answers

Answer:

17/6

Step-by-step explanation:

6x-7=10

6x=10+7

6x=17

x=17/6

Which expression is not equal to 1?

sin θ csc θ

cos θ sec θ

tan θ cot θ

sin θ cos θ

Answers

Hopes this helps if it is wrong I am so sorry:

Answer: sin 0 cos 0

sin θ cos C

Step-by-step explanation:

Suppose,  θ=30°

Suppose,

     sin θ cos θ=1

 ⇒sin30°cos30°=1

 ⇒[tex]\frac{1}{2}[/tex]×[tex]\frac{\sqrt{3\\} }{2}[/tex]=1

 ⇒[tex]\frac{\sqrt{3} }{4}[/tex]≠1

A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

22.4 ft

Step-by-step explanation:

The side of the ladder from the house will be 22.4 ft far.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that a 45-foot ladder is set against the side of a house so that it reaches up to 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house.

The distance will be calculated as,

a² + b² = c²

a² + (39)² = 45²

a² = 45² - 39²

a=√504

a = 22.4 ft

Therefore, the side of the ladder from the house will be 22.4 ft far.

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Ana can eat 15 hamburgers in 3 minutes. How many hamburgers can she eat in one minute?
(2 points)

A.Ana can eat 50 hamburgers in one minute.

B.Ana can eat 3 hamburgers in one minute.

C.Ana can eat 5 hamburgers in one minute.

Answers

Answer:

C Ana can eat 5 hamburgers in one minute

Step-by-step explanation:

A is wrong you can tell B if you eat 3 burgers in one minute then you eat another 3 thats only 6 then for the three minutes she eats 9 so C is correct

What is the term for a straight line extending from the center of a circle to the outside surface of a circle?

Answers

Answer:

radius

Step-by-step explanation:

hope this helps

PLEASE HELP DUE IN 1 HOUR

Answers

Answer:

18

Step-by-step explanation:

just add them unless you have to find the numbers for the 2 little squares

Answer:

27

Step-by-step explanation:

cut shapes. then 6x2 is 12, 3x5 is 15, then add

Matt made a trip to his friend's house and back. On
the trip there he drove 24 miles per hour and on the
return trip he went 30 miles per hour. How long did
the trip there take if the return trip took 4 hours

Answers

————>
24 mph (? hour trip there)
<————
30 mph (4 hour return trip)

If the return trip took 4 hours, then that means the total miles away would be 120. Matt was driving at 30 mph and drove for four hours, After multiplying 30 by 4, you will get 120. Once you’ve done that, you can do 120 divided by 24. Now that you know how many miles away his friend’s house is, you can estimate the time it took him to arrive by driving at 24 mph. 120 / 24 = 5

Answer: 5 hours


Find the measure of one interior angle.
A) 108°
C) 90°
B) 120°
D) 135°

Answers

Answer:

If that's a square or rectangle, any corner will be 90°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option C - 90 Degrees

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You are planning a backpacking trip. You must hike a minimum of 11 miles each day in order to complete the trip in the time you have available. Write an inequality to represent the situation. Let x represent the number of miles you must hike each day.

Answers

Answer:

x≥11

Step-by-step explanation:

The information provided indicates that you have to hike minimum 11 miles each day to be able to complete the trip in the time you have and this means that the number of miles you hike each day has to be greater than or equal to 11 and this can be expressed as:

x≥11, where:

x is the number of miles you must hike each day.

2. Find the slope of the line graphed below!
Remember
Rise
Run
10

Answers

Answer:

-1/3

Step-by-step explanation:

Intr un album numarul de fotografii s a micsorat cu 50%. Cu cat trebuie sa se mareasca pentru a reveni la numarul initial? Raspunsul trebuie sa fie 100%.

Answers

Răspuns:

100%

Explicație pas cu pas:

Permiteți numărul inițial de fotografii = x

x - 50% din x = x - 0,5x = 0,5x

0,5x + câte% din 0,5x = x

x - 0,5x = y% de 0,5x

0,5x / 0,5x = 1

Prin urmare,

100% = 1

Prin urmare, x trebuie mărit cu 100% pentru a reveni la numărul original.


PLS ACTUALLY ASNWER

Answers

Answer:

the first one, no

the second one, yes I think?(its def not no)

the third one, yes

Step-by-step explanation:

PLEASE help plssss no links and silly answers

Answers

Answer:

(H)

Step-by-step explanation:

Less than signs are <

Greater than signs are >

Since in this case x is the number

7 has to be less than x which is x<7

Answer:

f

Step-by-step explanation:

Round 2.486 to the nearest hundredth.

Answers

Answer:

2.490

Step-by-step explanation:

It is over the half point so, if it's over round up. if not, round down.

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi

Answers

Answer:

20 feet

Step-by-step explanation:

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi

From the above question, we are to find the radius of the circular pattern

The formula for the Area of the circle = πr²

To find r

r² = A/π

r = √A/π

In the above question, Area = 1256 square feet

π = 3.14

r = √1256/3.14

r = √400

r = 20 feet

The radius/distance from the sprinkler that can spread water = 20 feet

PWEASEEEEEE HELP MEEEEEEE

Answers

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Mr. Wedmore works at a car dealership and earns
a monthly salary of $2,000. He also earns 25%
commission on the gross profit of the car sales. If
Mr. Wedmore brought in $10,000 worth of profit
for the dealership, how much would he earn this
month?

Answers

Answer: $2,000. + 25% + $10,000= 12,500 Or  $2,000. - 25% - $10,000=8500

Step-by-step explanation:

Answer: $4,500

Step-by-step explanation: First, the monthly salary is $2,000 so this is part of the total already. The 25% commission is on the profit they earn and the profit they earned was $10,000. To find 25% of $10,000, you do 10,000 times 0.25 which is $2,500.

Total Earned: $2,000 (Monthly Salary) + $2,500 (Commission Amount) = $4,500

HELP!!!
And please don’t send a link it won’t let me download it

What is the standard deviation of the distribution?
0.89
The owner of a local movie theater keeps track of the
number of tickets sold in each purchase and makes a
probability distribution based on these records. Let X
represent the number of tickets bought in one
purchase. The distribution for X is given in the table.
0.95
O 1.41
1.99
Number of
Tickets
1
2
3
5
Probability
0.29
0.44
0.19
0.06
0.02

Answers

Answer:

The number of tickets purchased typically varies from the expected value by 0.95 tickets.

Step-by-step explanation:

The standard deviation of the distribution is 0.95.

What is Standard Deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

We have

P (X = 1)= 0.29

P (X = 2) = 0.44

P( X= 3) = 0.19

P (X = 4) = 0.06

P (X = 5) = 0.02

The expected value is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02 (5)

E(X) = 2.08

As, The standard deviation is the square root of the total of the difference squared between each value and the mean, multiplied by the likelihood of each value.

[tex]\sigma[/tex] = √0.29 (1- 2.08)² + 0.44(2- 2.08)² +.....+ 0.02 (5- 2.08)²

  = 0.95

Thus, the standard deviation is 0.95.

Learn more about Standard Deviation here:

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Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct

Answers

Answer:

x = 1.5

Step-by-step explanation:

Based in the tangent-secant theorem,

KI*JI = HI²

KI = (x + 0.5)

JI = 0.5

HI = 1

Plug in the values

(x + 0.5)(0.5) = 1²

0.5x + 0.25 = 1

0.5x = 1 - 0.25

0.5x = 0.75

x = 0.75/0.5

x = 1.5

what is 3c-9d+7c+5d simplified

Answers

Answer:

3c-9d+7c+5d becomes this when it is simplified  10c - 4d

Step-by-step explanation:

Figure ABCD Is a parallelogram

What are the measures of angles B and D

Answers

Need a photo bruvvvvvvvvv

Which of the following expressions is equal to 5 - 2m

Answers

Answer:

You didn't show any of the expressions

Step-by-step explanation:

¿De quién nos habla el texto ?¿pudiste imaginar como ese personaje? ¿porque?

Answers

Answer:

lo siento, no entiendo esta pregunta, pero esta aplicación es para ayudar con cosas como las matemáticas.

Step-by-step explanation:

-2(p-1)+7p>32



I don’t know help

Answers

Here’s my work for your question.

Ifm AGD = 72°, then what is m DGB?
G/1
B
3/2
E
1
6
Answer for: m DGB

Answers

Answer:

Cheeeeseeeeii

Step-by-step explanation:

Cheeeeseee

14. 6 • _____ = 3 • ____

Answers

Answer: 143°

Step-by-step explanation:

140+146=286

360-286=74

74/2=37

vertical angles are equal so using supplementary angles or vertical angle rule I can prove the angle labeled x is 143°

What is the area of the shaded region?
3 cm

Answers

Answer:

7.74cm ^2

Step-by-step explanation:

a=pie * r ^2

3.14*3^2=3.14*9=28.26  then you know all sides of a square are equal and 3 is half of 1 side so 6*6-=36 36-28.26=7.74

Which phrase best describes the translation from the graph y=6x^2 to the graph of y=6 (x+1)^2?

6 units right
6 units left
1 unit right
1 unit left

Answers

Answer:

1 unit left

Step-by-step explanation:

Here, we want to get the kind of transformation applied

From the given equations, we can see that the value 1 being added to 1 in the second equation is the difference

What this mean is that we have an issue with the x value

For x to move to x + 1, there is a translation to the tune of 1 unit in the left direction

Help pls, my mother will beat me.

Answers

Answer: I think it is 521 inches cubed

Step-by-step explanation:

First, I found the surface area of the shape on the bottom. Then I did the same thing for the shape on the top and added them together. But I noticed there was one side on the top shape that I had to subtract from the total. That is how I got 521. But I'm not sure.

The theater from the previous question sold a total of 97 tickets on the night they made $1048. Write and solve a system of equations to determine the number of adults who bought tickets that night.

Answers

Answer:

116.444$

Step-by-step explanation:

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