Mathematics High School

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Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?

Answers

Answer 1

Answer:

Step-by-step explanation:

...

Answer 2

The solution is Option A.

The inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the total number of DVDs Martin can buy be = A

Now , the equation will be

The price of 1 DVD is = $ 8.50

The price for shipping and handling = $ 5.00

Now , the total amount Martin decides to spend = not more than $ 56

So , the inequality equation will be

8.50A + 5 ≤ 56

On simplifying the equation and solving for A , we get

Subtracting 5 on both sides of the equation , we get

8.50 A ≤ 51

Divide by 8.50 on both sides of the equation , we get

A ≤ 51 / 8.5

A ≤ 6 DVDs

So , the value of A should be less than or equal to 6

Hence , the inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy

To learn more about inequality equation click :

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Related Questions

What is the slope of the line passing through points (4,6) and (2,3)?

Answers

Answer: 3/2

Step-by-step explanation: y2-y1/ x2- x1

A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.

Answers

Answer:

so it 15

Step-by-step explanation:

HELPPPPPPPPP WILL MARK 5 STARS!!!!!!!!!!!!!!!!!!!

Answers

Answer:

112

Step-by-step explanation:

Red blood cells are usually about 8 x 10 meter in diameter. What is that number written in standard notation?
A
0.000000
B
0.000000
C. 0.0000008
D
0.0000008

Answers

Answer: 0.000008

Step-by-step explanation:

So it says 10 to the -6 power...

10*-10*-10*-10*-10*-10*-10

0.000001

Then you multiply that by 8

0.000008

Hope this helps!

Answer:

Step-by-step explanation:

what they said

Which statement is not always true for a parallelogram?

Answers

Answer:

Step-by-step explanation:

Answer:

Diagonals are congruent drop a like if you got it right

Step-by-step explanation:

Draw a picture first, then use the Pythagorean Theorem to solve. Round
your answer to the nearest tenth.
A wire is stretched from the top of an 8-ft. pole, to a bracket 5-ft. from the
base of the pole. How long is the wire?
O 9.4
09.0
O 89.0
O 13

Answers

Answer:

your answer would be 9.4

Step-by-step explanation:

you'd have to plug in the numbers in the equation.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.

Given that,
2a + 5b=22
b = 2
Find the value of a.

Answers

Answer:

Step-by-step explanation:

Answer:

a=5.5 I hope this helped you

What is the exact value of tan(105°).
2 +V3
-2+V3
2-√3
-2-√3

Answers

The answer is −2−√3.

The exact value of tan(105°) is -2 - √3.

What is Tangent function?

Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.

Given that, we have to find the exact value of tan(105°).

We know that,

105° = 60° + 45°

tan(105°) = tan (60° + 45°)

We know,

tan (A + B) = (tan A + tan B) / (1 - tan A tan B)

So,

tan (60° + 45°) = (tan 60 + tan 45) / (1 - tan (60) tan (45))

tan 60 = √3 and tan 45 = 1

tan (60° + 45°) = (√3 + 1) / (1 - √3)

Multiplying both numerator and denominator by (1 - √3),

= (√3 + 1)² / (1 - 3)

= -(3 + 2√3 + 1) / 2

= -(4 + 2√3) / 2

= -(2 + √3)

= -2 - √3

Hence the value of tan(105°) is -2 - √3.

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Which decimal is the equivalent of 6/11?

A. 0.183
B. 0.1883
C. 0.54

Answers

Answer:

0.54

Step-by-step explanation:

6/11 in decimal form is closest to 0.54

A insurance salesperson earns a salary of $4,200 per month plus a commission of 3% of sales. How much must the salesperson have to sell to make an income of at least $4,500?

Answers

Answer:

x = 10,000

Step-by-step explanation:

commision earned = $4500. - $4200

commision = 300

therefore:

commision = 3% of the amount of the sales

300 = 3% of x( the price isn't known)

300 = 3/100 * x

300 = 3x /100

multiplying both sides by 100

300 x 100 = 3x/100 x 100

30000 = 3x

Divide through by 3

x = 10,000.

the amount of the sales = 10,000

______________

To check

commision = 3% of 10,000

commision = 300

What system of equations is shown on the graph?

Answers

Blue: y = 1/2x - 2
Orange: y = -2x - 4

Answer:
B) x - 2y = 4 and 2x + y = -4

SOMEONE PLSSS HELP ME!!!!

Three of the sisters decide they would like to save money and get dessert elsewhere. If they all order grilled cheese sandwiches, then what is the maximum amount of money they can spend on dessert?

Answers

need to provide more context

A vanilla cake has a diameter of 8 inches. What is the radius?

Answers

Answer:

Step-by-step explanation:

d = 8 inches

r = 8/2 = 4 inches

Answer:

4 inches.

Explanation:

If the diameter is a circle, divide the diameter by two and you will have the answer of 4. This gives you the radius.

8 / 2 = 4

Hope this helps. Have a wonderful day.

How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN
must be an odd number?
a. 5,000
b. 4,500
c. 3,600
d. 500

Answers

Answer:

Step-by-step explanation:

How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN must be an odd number?

ANSWER B: 4,500

The number of 4 digit personal identification numbers (PIN) is 4500

What is a PIN?

A PIN is a security code that is used for verifying identities

There are 10 numerical digits i.e. 0 - 9

Since the 4 digit personal identification numbers (PIN) cannot begin with 0, then the first character can take any of 9 digits

The other three characters can take any of the 10 digits.

So, the number of PIN is:

PIN = 9 * 10 * 10 * 10/2

Expand

PIN = 4500

Hence, the number of 4 digit personal identification numbers (PIN) is 4500

Answers

Answer:

Slop= 1/2 (fraction not division just to make sure you know that ;-;)

Y intercept = ( 0,-3)

Step-by-step explanation: I can't really explain it since I did this years ago in 8th grade but just search up the step by step or watch a video about intercepts

Answer:

slope: 1/2

y-intercept: -3

Step-by-step explanation:

slope= rise over run of 2 points

(0,-3) and (6,0) are the points

We go up on the y axis 3 units

We go right on the x axis 6 units

rise/run= 3/6

3 ÷ 6= 0.5 or 1/2

y intercept: I graphed on desmos

It is the value when x= 0

The local ice cream shop surveyed the customers to see which flavor of ice cream is most popular 125 people choose chocolate as their favorite which represents 25% of the customers surveyed how many total customers were surveyed A.425 B.20 C.500 D.32

Answers

Answer:

500

Step-by-step explanation:

Let there were a total of x number of customers.

As 125customers choose chocolate flavor as their favorite which is 25% of the total customers surveyed, so

25% of x = 125

0.25x=125

x=125/0.25=500

Therefore, the total number of customers surveyed is 500.

Uriah deposited a check into his account for $310.64. Then, he withdrew 129.43 in cash in the same transaction. What is the net amount of Uriah's transaction?

Answers

310.64 - 129.43 equals 181.21

Your answer is 181.21

I hope this helped!

I would appreciate it if you gave me a Thanks and a brainliest (:

explain and demonstrate how to turn 4/20 into a percent

Answers

Answer:

20%

Step-by-step explanation:

We can start by looking at it as a ratio, so 4 divided by 20 and 4/20 = 0.2, so that would be 20% viewing 1=100%.

Another way is

20 here is 100%, and for 20 to equal 100, we have to multiply it by 5. To balance it out, multiply the top by 5 as well, and 4 * 5 =20. Therefore, 4/20 = 20%

what is 179.9526 rounded to the nearest tenth

Answers

Answer:

180.0

Step-by-step explanation:

Answer:

179.9526 rounded to the nearest tenth is 180.0

Step-by-step explanation:

Question 3 of 10
What is 9C6?
O A. 96
OB. 10
O C. 56
O D. 84

Answers

The answer is d because

For the function shown below, find f(1):
f(x) = 2x4 - 8x2 + 5x - 7

Answers

The overall answer is -8 if the function is in the form I’ve written out

Rewrite the expression using properties of exponents:

Answers

The answer is 1, anything that is raised to the 0 is always 1

Which expression is equivalent to 6f+8f?

Answers

Answer:

6f + 8f is equal to 14f

Answer:

14f

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

6f + 8f

Step 2: Simplify

Combine like terms: 14f

1) Rotate the following 180°.

Answers

The explanation is in the picture

If a circle has more than one radius, they are all the same distance from the center to the edge.
True or False

Answers

THE ANSWER IS FALSE IM PRETTY SURE

Answer:

True

Step-by-step explanation:

All radii are half of a diameter.

Which two points should the line of best fit go through to best represent the data in the scatterplot?

Answers

(3,8) (5,12) Hope this helped

Answer:

(3,8) and (5,12) in other words C.

Step-by-step explanation:

Whats the value of c? 60 - (3c + 4) = 4(c + 6) + c

Answers

Answer:

c=4 hope this helpss

Step-by-step explanation:

Answer and Explanation

__________________________________________________________

The value of "c" is 4.

Here's why.

__________________________________________________________

[tex]60-\left(3\cdot c+4\right)=4\cdot\left(c+6\right)+c[/tex]

What does c equal???

__________________________________________________________

Let's try using all numbers to find out what it is

[tex]60-\left(3\cdot 4+4\right)[/tex] = [tex]44[/tex]

[tex]4\cdot\left(4+6\right)+ 4[/tex] = [tex]44[/tex]

So it's 4!

__________________________________________________________

Hope this helps! <3

__________________________________________________________

PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!
Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)

Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)

Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)

Part D: f(x) = 4x - 3. Find f(5) (2 points)

Answers

Answer:

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

Step-by-step explanation:

Part A)

2(x - 3) = 3x - 3

open the parenthesis

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

subtract 2x from both sides

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

add 3 to both sides

-6 + 3 = x

-3 = x

Part B)

|2x + 6| = 8

split this into two equations:

2x + 6 = 8

2x + 6 = -8

2x + 6 = 8

2x = 8-6

2x = 2

x = 1

2x + 6 = -8

2x = -8 - 6

2x = -14

x = -7

Part C)

-5(x + 1) > 30

open the parenthesis

-5x - 5 > 30

add 5 to both sides

-5x > 35

divide both sides by -5

x > -7

since you divided by a negative, flip the sign.

x < -7

Part D)

f(x) = 4x - 3

substitute x for 5

5 = 4x - 3

5 + 3 = 4x

8 = 4x

2 = x

Given that f(x) = x2 - 2x - 15,
a. Find the coordinates of the y-intercept

b. Find the coordinates of the x-intercepts

c. Find the coordinates of the vertex

d. Use the above information to sketch a graph of f(x)

Answers

a) (0; -15)

you just let x be equal to 0.

b) ( -5; 0) and (3;0)

you just let y/ f(x) equal to 0.

What is the area of this triangle?

Answers

Answer:

what triangle????????????????????????????

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Help asap if you want brainliest Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?

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Help asap if you want brainliest
Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?