The perimeter of a rectangle is 10(y-1).
Option (c) is correct.
It is required to find the expression of perimeter of a rectangle.
What is rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that:
Let the length of rectangle be 3y-5
Let the breadth of rectangle be 2y
As we know the formula for perimeter,
So,
Perimeter (P)= 2Length (L) +2Width (W)
P=2L + 2W
P=2(2y)+2(3y-5)
P=4y+6y-10
P=10y-10
∴P=10(y-1)
Therefore, the perimeter of a rectangle is 10(y-1).
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which of the following was a result of prison reform during the 1800s
A. a decrease in prisons
B. a decrease in crime
C. the formation of mental hospitals
D. the formation of public schools in rural areas
Answer:
C. the formation of mental hospitals
Step-by-step explanation:
During that time the jail and asylum conditions were worse.
The inmates especially the mentally ill, were bound in chains and locked in cages.
Hence, with the reform movement, came the formation of mental hospitals. Public asylums were made for the mentally ill incarcerated people.
Raj eats 1/11 of a pound of grapes in 1/25 of a minute. How many minutes will it take him to eat a full pound of grapes?
solve for first two positive solutions sin(3x)cos (4x)+cos(3x)sin(4x)=-0.9
Find the percent of tip: Cost of meal: $28.00 Tip: $3.36 The percent of the tip was ___%.
Answer:
12.00%
Step-by-step explanation:
[tex]$3.36\\[/tex] ÷ [tex]$28.00\\[/tex] = [tex]0.12\\[/tex]
[tex]100 *0.12=12%\\[/tex] %
A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
Explanation:In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week. The $400 represents her base salary, and the 0.1s represents the commission she earns on her sales. The value of s represents Tasha's total sales for the week.
For example, if Tasha's total sales for the week are $2000, then her commission would be 0.1($2000) = $200. Adding this to her base salary of $400, her total earnings for the week would be $400 + $200 = $600.
Therefore, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
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Alyssa is building a brick mailbox. She is going to stack bricks that are each \dfrac23 \text{ft}
3
2
ftstart fraction, 2, divided by, 3, end fraction, f, t tall, and the finished stack of bricks needs to be 4\dfrac23 \text{ft}4
3
2
ft4, start fraction, 2, divided by, 3, end fraction, f, t tall.
How many bricks will go in the stack?
ANSWER FAST
Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.
Which equivalent expression could he also use to find the total cost?
A. 15+0.6(15)
B. (1+0.06)15
C. 1+0.06(15)
D.15 + 0.06
A card is randomly selected from a deck of 52 cards. Find the probability that the card is between four and eight (inclusive) or is a club.
Answer:
20/52+13/52-5/52=.538
Step-by-step explanation:
The probability that the card is between four and eight (inclusive) or is a club is 4/13.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of cards can be written as,
The number of cards between 4 and 8 is 3 {4,5,6,7,8}.Number of club cards = 13Number of cards between 4 and 8 from heart, spades, and diamonds = 15Now, the probability that the card is between four and eight (inclusive) or is a club is,
Probability
= (Number of club cards+ Number of cards between 4 and 8)/(Total number of cards)
= (13+15)/(52)
= 28/52
= 4/13
Hence, the probability that the card is between four and eight (inclusive) or is a club is 4/13.
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A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.What is the probability that you choose a blue marble and then another blue marble, assuming you replace the first marble?
The probability of drawing a blue marble and then another blue marble from a bag, with replacement of the first marble, is calculated by multiplying the probability of the first event by the probability of the second event since the first event's outcome does not change the conditions for the second draw. In this case, the probability is 1/16.
The question involves calculating the probability of drawing two blue marbles consecutively from a bag, with replacement of the first marble before drawing the second one. To find this probability, we calculate the chance of drawing a blue marble twice, taking into account that the composition of the bag remains the same after the first draw due to replacement.
The total number of marbles is 5 red + 3 blue + 2 green + 2 yellow = 12 marbles. The probability of drawing a blue marble is the number of blue marbles divided by the total number of marbles, which is 3/12 or 1/4. Since the first marble is replaced, the probabilities remain the same for the second draw. Therefore, the probability of drawing a blue marble on the second draw is also 1/4.
To find the combined probability of both events happening in succession, we multiply the probabilities of each individual event: (1/4) * (1/4) = 1/16. Thus, the probability of drawing a blue marble and then another blue marble, with replacement, is 1/16.
identify the type of of function represented by the equation y=2x^2
Can someone please help?
order 40/97,3/41,1/6 from least to greatest
License plates in a particular state display 2 letters followed by 3 numbers. How many different license plates can be manufactured for this state?
In Mathematics, to calculate the number of different license plates with 2 letters followed by 3 numbers, multiply the possibilities for each position: 26 × 26 for letters and 10 × 10 × 10 for numbers to get 676,000 different license plates.
Explanation:The question pertains to the concept of permutations and combinations in Mathematics, specifically calculating the number of different license plates that can be manufactured when the format is two letters followed by three numbers. The number of possible license plates is found by multiplying the number of options for each component. For the letters, there are 26 possible choices for each of the two letter positions (assuming the English alphabet is used and letters can be repeated). For the numbers, there are 10 possible choices for each of the three number positions (using digits 0-9).
To calculate the total number of different license plates, we multiply the possibilities for each part: 26 × 26 × 10 × 10 × 10 = 676,000 different license plates. This calculation is known as the Rule of Product in combinatorics, which states that if one event can occur in 'm' ways and a subsequent event can occur in 'n' ways, then the total number of ways the two events can occur is m × n.
To determine the number of different license plates, multiply the number of alphabetic combinations (26 for each of the 2 letters) by the numeric combinations (10 for each of the 3 numbers), resulting in 676,000 possible plates.
Explanation:The question is asking us to calculate the number of different license plates that can be manufactured with a specific format, which is 2 letters followed by 3 numbers. To solve this, we will assume there are 26 possibilities for each letter (A through Z) and 10 possibilities for each number (0 through 9).
For the two letters at the start, since both positions can hold any of the 26 letters in the alphabet, the total number of combinations for the two letters is 26 × 26.
For the three numbers following, each position can hold any digit from 0 to 9, giving us 10 × 10 × 10 combinations for the numbers.
To find the total number of different license plates, we multiply the number of possibilities for the letters by the number of possibilities for the numbers:
Total license plates = 26 × 26 × 10 × 10 × 10 = 676,000.
Therefore, there can be 676,000 different license plates manufactured for this state with the given format.
Which number is 100 times greater than 6 thousandths
You deposit $5000 each year into an account earning 8% interest compounded annually. How much will you have in the account in 20 years?
A car travels down a highway at 25 m/s. An observer stands 100m from the highway.
a) How fast is the distance from the observer to the car increasing when the car passes in front of the observer?
(Use decimal notation.)
The rate is =
(b) How fast is the distance increasing 10s later?
(Use decimal notation. Give your answer to three decimal places.)
The rate is =
The rate at which the distance from the observer to the car is increasing is 25 m/s, both when the car passes in front of the observer and 10 seconds later.
Explanation:To find the rate at which the distance from the observer to the car is increasing, we need to use the concept of relative velocity. When the car passes in front of the observer, its velocity is perpendicular to the line connecting the observer and the car. Therefore, the rate at which the distance is increasing is equal to the speed of the car. In this case, the rate is 25 m/s.
To find how fast the distance is increasing 10 seconds later, we need to consider the fact that the car is still moving at a constant velocity of 25 m/s. Therefore, the rate at which the distance is increasing remains the same. So, the rate is still 25 m/s.
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What is the end behavior of f(x)=5x^3-2x+5
Write in the standard form a+bi (-4+8i)-(7-4i)
248mph equals how many meters per second
What is the effect of decreasing the alpha level (for example, from a = .05 to a = .01)? it decreases the probability of a type i error. it decreases the size of the critical region. it decreases the probability that the sample will fall into the critical region. all of the other options are results of decreasing alpha?
write an expression that shows how to multiply 4 x 362 using place value and expanded form.
To multiply 4 x 362 using place value and expanded form, first expand 362 to (300 + 60 + 2). Then multiply 4 with each value, resulting in 1200, 240, and 8. The sum of these results gives the final answer, 1448.
Explanation:The multiplication expression of 4 x 362 using expanded form and place value can be represented as follows:
Firstly, write 362 in its expanded form. You can express it as (300 + 60 + 2).Then, multiply 4 by each number of the expanded form of 362. The operation would be: 4 x 300 = 1200, 4 x 60 = 240, and 4 x 2 = 8.Finally, add all the resulting numbers together to get the final answer. The operation would be 1200 + 240 + 8 = 1448.
So, 4 multiplied by 362 using place value and expanded form equals to 1448.
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The Lombardo family went out to dinner and their full mean costed $62. If they left a 20% tip, how much did they tip?
If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. the cost to play the game is $5. what is the expectation of this game?
a. $3.06
b. -$2.78
c. -$3.06
d. $2.78
Final answer:
The expected value of the gambling game with a cost of $5, and potential winnings of $10 for a sum of 10 or $20 for a sum 3, is −$2.78. The calculation shows the player will lose $2.78 on average per game, indicating it is not a profitable game to play long term. So, option (b) is correct.
Explanation:
The student is interested in determining the expected value of a gambling game where rolling two dice can result in either winning money or losing the cost to play. To find the expected value, we must consider the probability of each outcome and its associated payoff.
First, we calculate the chances of rolling a sum of 10 with two dice. There are three combinations that give a sum of 10: (4,6), (5,5), and (6,4). Since there are 36 possible outcomes when rolling two dice, the probability of obtaining a sum of 10 is 3/36 or 1/12.
Similarly, the only combinations that result in a sum of 3 are (1,2) and (2,1). Thus, the probability of rolling a sum of 3 is 2/36 or 1/18.
The expected value (EV) can be calculated using the formula:
EV = (−cost to play) + [P(sum of 10) × winnings for 10] + [P(sum of 3) × winnings for 3]
Substituting the given values yields:
EV = (−5) + [(1/12) × 10] + [(1/18) × 20]
After calculating, we find tha-
EV = −$2.78.
Since the expected value is negative, this implies that, on average, the player will lose $2.78 per game. Therefore, playing this game would result in an average loss over time.
Every night, Mary spends 3 hours doing homework, 30 minutes practicing the piano, and 35 minutes talking on the phone. What is the total number of minutes Mary spends doing these activities?
Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the nearest tenth.
The height of the door in the drawing will be 1/2 centimeters.
What is scale factor?Scale factor is used to compare the size of two objects. Mathematically, we can write -
{K} = S{O1}/S{O2}
13 mg
Given is that the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters.
Height of the door = 2 meters
Scale : 1 centimeter = 4 meters.
So, in one meters, there will be - 1/4 centimeters.
In 2 meters, there will be -
(1/4) x 2 = 1/2 centimeters
Therefore, the height of the door in the drawing will be 1/2 centimeters.
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find the equation to the line that is perpendicular to y=2x-3 and goes through the point (-1,2)
You swim the 50-meter freestyle in 28.12 seconds.This is 0.14 second less than your previous fastest time. What was your previous fastest time?
If a person swim the 50-meter freestyle in 28.12 seconds. This is 0.14 second less than persons previous fastest time is 28.26.
What is Equation?
Two or more expressions with an equal sign is called as equation.
Given that,
One swim the 50-meter freestyle in 28.12 seconds..
The previous fastest time be x.
The new fastest time is 28.12 seconds.
New fastest time is 0.14 second less than your previous fastest time.
So, 28.12+0.14=x
28.26=x
Hence the previous fastest time is 28.26 seconds.
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Margo borrows $1900, agreeing to pay it back with 6% annual interest after 13 months. How much interest will she pay?
Samantha parents bought her a new bed they paid 136 each month for 9 months how much did the bed cost