The stamp collector purchased 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps.
Explanation:To solve this problem, let's assign variables to the number of each type of stamp purchased. Let x be the number of 5¢ stamps, y be the number of 15¢ stamps, and z be the number of 25¢ stamps. We are given that the number of 15¢ stamps is three times the number of 5¢ stamps, so we can write this as y = 3x. We also know that the total number of stamps is 160, so we have the equation x + y + z = 160.
Using these equations, we can set up a system of equations:
y = 3x
x + y + z = 160
We can substitute the first equation into the second equation to eliminate y:
x + 3x + z = 160
Combining like terms, we get 4x + z = 160. We can rearrange the equation to solve for z:
z = 160 - 4x
Now we can substitute this expression for z back into the second equation:
x + 3x + 160 - 4x = 160
Simplifying, we get 4x = 0. Solving for x, we find x = 40. Plugging this value back into the equation y = 3x, we get y = 120. Finally, we can find z by substituting x and y into the equation z = 160 - 4x:
z = 160 - 4(40) = 160 - 160 = 0.
So, 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps were purchased.
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Eric earned 60 points on his last tes t.If there were 75 points.what his precent grade.
A random number generator is used to select a number from 1 to 100, what is the probability of selecting the number 129?
slice of pie cut at 72 degree many left
3(6) minus negative2 divide by minus negative 1
A farmer has 212 acres of land for sale.He divides the land into 18 equal sections.About how many acres are in each section?
which of the following is an example of theoretical probability?
There are 52 playing cards in a deck, and 4 of them are aces. The probability of turning over an ace is 4/52
B. Kenny rolled a number cube 9 times and got 4 even numbers. The probability of an even number is 4/9
C. Wendy flipped a coin 5 times, and the results were 4 tails. The probability of tails is 4/5
D. There were 73 people in a grocery store, and 45 of them bought milk. The probability of people buying milk is 45/73
Answer:
Option A and D are correct Option.
Step-by-step explanation:
Theoretical Probability: Probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
that is [tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}[/tex]
Option A:
Number of favorable outcome = 4
Total number of outcome = 52
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{4}{52}[/tex]
Thus, This is an example of Theoretical Probability.
Option B:
Number of favorable outcome = [tex]^9C_4\times3^4\times3^5=2480058[/tex]
Total number of outcome = [tex]6^9=10077696[/tex]
Thus, This is not an example of Theoretical Probability.
Option C:
Number of favorable outcome = [tex]^5C_4=5[/tex]
Total number of outcome = [tex]2^5=32[/tex]
Thus, This is not an example of Theoretical Probability.
Option D:
Number of favorable outcome = [tex]45[/tex]
Total number of outcome = [tex]73[/tex]
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{45}{73}[/tex]
Thus, This is an example of Theoretical Probability.
Therefore, Option A and D are correct Option.
The amounts that two partners invested in a new business are given below. If the partners share the profits in the same ratio as their investment, what is partner B's share in a $3600 profit?
Partner A $4300 Partner B $7700
52 thousandths in scientific notation
Answer:
[tex]5.2 \cdot 10^{-2}[/tex]
Step-by-step explanation:
we need to write 52 thousandths in scientific notation
thousandths is 1/1000
52 thousandths is 52 times 1/1000
[tex]52 \cdot \frac{1}{1000}[/tex]
[tex]\frac{52}{1000}[/tex]
0.052
Now to get the decimal in scientific notation , move the decimal point after the first number
[tex]5.2 \cdot 10^{-2}[/tex]
Liability insurance covers bodily injury to others and any property damaged, including yours.
True
False
Liability insurance covers bodily injury to others and any property damaged, including yours. This statement is TRUE.
There are several types of liability insurance. Auto liability insurance covers the damages that you've created to someone else's car and bodily injury.
Final answer:
The statement is false because liability insurance does not cover the policyholder's property damage, but it does cover bodily injuries to others and damage to others' property. Personal property would require additional coverage, such as collision, comprehensive, or homeowner's insurance.
Explanation:
The statement 'Liability insurance covers bodily injury to others and any property damaged, including yours' is false. Liability insurance is primarily designed to cover bodily injury to others and property damage for which you are legally responsible. This includes, for instance, if someone is injured on your property, or if you are responsible for an accident that causes damage to another person's car or property. However, it does not cover your own property damage. For damage to your own property, you would need collision or comprehensive coverage as part of your automobile policy, or a homeowner's insurance policy with coverage for personal property.
Homeowner's insurance typically includes liability coverage to protect you if someone gets injured on your property, as well as various forms of property insurance against risks like fire, theft, and natural disasters, but it may exclude illegal activities. Car insurance also requires at a minimum liability coverage, and can have additional options such as uninsured motorist coverage, which protects you if the other driver is at fault and has no insurance.
Use a calculator to find the value of Sin 21°
Round to four decimal places.
A. 0.3839
B. 0.3584
C. 0.9336
D. 2.7904
Answer:
Option B is the correct answer.
Step-by-step explanation:
We need to find the value of Sin 21° using calculator and round to four decimal places.
Using calculator
Sin 21° = 0.358367949
Rounding the value of Sin 21° to four decimal places.
Sin 21° = 0.3584
Option B is the correct answer.
5x6=90divided by something
Answer:
30
Step-by-step explanation:
5x6=30
Check our work:
90/30=30
Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?
Shayna can buy 9 cantaloupes with $21.
Explanation:To calculate how many cantaloupes Shayna can buy with $21, we need to find out the price of one cantaloupe. Since Gabriella bought three cantaloupes for $7, we can find the price of one cantaloupe by dividing $7 by 3. 7 divided by 3 is $2.33, rounded to the nearest cent. Now, to find out how many cantaloupes Shayna can buy, we need to divide $21 by $2.33. $21 divided by $2.33 is 9, with a remainder of $0.78. Since we can't buy part of a cantaloupe, Shayna can buy 9 cantaloupes.
Final answer:
The price per cantaloupe is $2.33. With $21, Shayna can buy approximately 9 cantaloupes.
Explanation:
To answer how many cantaloupes Shayna can buy with $21, we first need to determine the price of one cantaloupe from the information given. Gabriella bought three cantaloupes for $7. Therefore, the price per cantaloupe is $7 divided by 3 cantaloupes, which equals $2.33 per cantaloupe (rounded to two decimal places).
Next, we can calculate how many cantaloupes Shayna can buy with her $21 by dividing her total amount of money by the price of one cantaloupe. So $21 divided by $2.33 per cantaloupe equals approximately 9 cantaloupes (rounding down since you cannot buy a fraction of a cantaloupe).
What is y + 8 = -(x - 1 in slope intercept form
Write the algebraic expression representing the length and width of Marliens house. Someone please tell me the process of how to do this
Answer:
Length of Marliens house = [tex](\frac{7}{2}x-4)\text{ or }(\frac{9}{2}x-18)[/tex] .
Width of Marliens house = [tex](2x-2)[/tex].
Step-by-step explanation:
We need to find the length and width of Marlien's home in algebraic expressions.
Add length of living room, hallway and kitchen, to find the length of Marlien's home.
Length of Marlien's home = [tex](2x+2)+(\frac{1}{2}x-4)+(x-2)=\frac{7}{2}x-4[/tex]
Or we can add Master bedroom,guest room, hallway and bathroom, to find the length of Marlien's home.
Length of Marlien's home = [tex](2x-10)+(x-2)+(\frac{1}{2}x-4)+(x-2)=\frac{9}{2}x-18[/tex]
Add width of living room and Master bedroom to find the width of Marlien's home.
Width of Marlien's home = [tex]x+(x-2)=2x-2[/tex]
Hence, the length of Marliens house is either [tex](\frac{7}{2}x-4)\text{ or }(\frac{9}{2}x-18)[/tex] and width of Marliens house is [tex](2x-2)[/tex].
Part a: is x = 6 a solution of the equation 8x + 8 = 56? explain. Part b: Suppose the solution of the equation stays the same. How would the right side need to change if the solution is now x = 9?
Cups often come packaged in one tall stack. A certain cup is 4 inches tall. when one 4-inch cup is stacked in another, the two cups measure 4.5 inches tall. when 3 cups are stacked, they measure 5 inches tall. How many stacked 4-inch cups will fit in a bag that is 12 inches tall? in a bag that is n inches tall?
fraction as a percent 1: 2\5=??? 2: 1\20=??? 3: 9\10=??? 4: 7\20=??
Can yiu help me with number 3
Which shows the following expression using positive exponents? a^3 b^-2/ ab^-4
name all planes intersecting plane CHG
Answer:
b. CBA, CDI, FIH, BAF
Step-by-step explanation:
In the given figure of a cuboid. The total number of plans is 6.
These planes are, plane ADI, plane CBA, plane CDI, plane FIH, plane BAF and plane CHG. But in the cube plane ADI and plane CHG is parallel to each other, therefor they do not intersect each other and rest plane (other then plane ADI ) are not parallel to the plane CHG, so these planes intersect the plane CHG.
Hence we say that the plane CBA, Plane CDI, plane FIH and plane BAF are the intersecting plane of the plane CHG.
how many pounds are there in 2 3/4 tons (1 ton=2000 ponds).
Answer:
5500 hope you get it right
Step-by-step explanation:
What are the two representations of the conversion factor used to convert between inches and feet? Select all that apply.
A) 1 inch/12feet
B) 12 inches/1 foot
C) 1 foot/12 inches
D) 12feet/1 inch
The Earth's atmosphere consist of distinct layers. The troposphere starts at Earth's surface and extends upwards 6 to 20 kilometers. In this layer the temperature decreases with increasing altitude from approximately 17°C at Earth's surface to -51°C at the boundary with the next layer. By how many degrees Celsius does the temperature change in the troposphere?
The required change in temperature between the extreme layers of the troposphere is -68°C.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
The troposphere starts at Earth's surface and extends upwards 6 to 20 kilometers. In this layer, the temperature decreases with increasing altitude from approximately 17°C at Earth's surface to -51°C at the boundary with the next layer.
Change in the temperature = -51°C - 17°C = -68°C
Thus, the required change in temperature between the extreme layers of the troposphere is -68°C.
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Donald is giving his old rare coins to his grandchildren. he has 56 coins and 8 grandchildren, and he gives each grandchildren the same number of coins. each coin has a value of $18. which equation can we use to find the value (v) of each grandchildren's coins?
does 65-(45-20)equal (65-45)-20? how do you know?
Answer:
No, the expression 65-(45-20) is not equal to (65-45)-20.
Step-by-step explanation:
Consider the provided expression.
Consider the expression: 65-(45-20)
Solve the above expression as shown.
65-(45-20)
65-(25)
65-25
40
Now consider the second expression.
(65-45)-20
20-20
0
Now compare both the result.
40≠0
Hence, the expression 65-(45-20) is not equal to (65-45)-20.
Which numbers are a distance of 3 units from 12 on a number line?
Select each correct answer.
3
15
0
9
−9
−15
Answer:
15 and 9 are the correct answers.
Step-by-step explanation:
The numbers that are at a distance of 3 units from 12 on a number line are given as:
We will add 3 to 12 and also subtract 3 from 12 to get both numbers on the left side an right side on the number line.
[tex]12+3 = 15[/tex]
[tex]12-3 = 9[/tex]
So, the correct answers are 15 and 9.
what is the answer to the equation
(4 x 6) - 25 + 1
the description of a TV is based on the diagonal length. if the height of a TV is 10 inches and the width is 7 inches, what is the approximate diagonal length in inches?
The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
The approximate length of the diagonal is 12 inches.
What is Pythagorean theorem?The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
We have,
Height = 10 inches
Width = 7 inches
Height and width can be considered as the other two sides.
Now,
The diagonal length can be considered as the hypotenuse.
Now,
Diagonal² = 10² + 7²
Diagonal² = 100 + 49
Diagonal² = 149
Diagonal = √149
Diagonal = 12.206 inches
The approximate diagonal length will be 12 inches.
Thus the approximate length of the diagonal is 12 inches.
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a landscape company charges $100 plus $15 per hour. another company charges $75 plus $17 per hour. how long is a job that costs the same no matter which company is used
To find when the job cost is the same for both companies, equate their cost equations. By solving 100 + 15h = 75 + 17h, we find that at 12.5 hours the job would cost the same no matter which company is used.
To determine when a job costs the same for both landscape companies, we need to equate the two cost equations they offer and solve for the number of hours.
Let h be the number of hours the job takes. The first company's cost can be represented as C1 = 100 + 15h, and the second company's cost as C2 = 75 + 17h. To find the number of hours when both companies charge the same amount, we set C1 = C2:
100 + 15h = 75 + 17h.
Rearrange the equation to solve for h:
100 - 75 = 17h - 15h
25 = 2h
h = 12.5 hours.
So, a job that takes 12.5 hours would cost the same amount whether it is done by the first company or the second company.
Simplify 3(x - 6) - 4(x + 3).
Answer:
B) -x-3
Step-by-step explanation:
If I read and did the math correctly, this should be the answer. :)