Jason scored 14,568 points playing a video game. The all-time high score is 22,401 points. How much greater is the all-time high score than Jason's score?
I need help with a math problem.
x+3y-2z=10, -x-2y+z=-7, 3x+9y-5z=28
the area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle
Perimeter of the rectangle is 64.5 m
Further explanationTo solve the above questions, we need to recall some of the formulas as follows:
Area of Rectangle = Length × Width
Perimeter of Rectangle = 2 × ( Length + Width )
Let us now tackle the problem !
Given:
Area of Rectangle = A = 256.5 m²
Length of Rectangle = L = 18 m
Unknown:
Perimeter of Rectangle = P = ?
Solution:
This problem is about Area and Perimeter of Rectangle.
Let's find the width of Rectangle.
[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]
[tex]256.5 = 18 \times \texttt{Width}[/tex]
[tex]\texttt{Width} = 256.5 \div 18[/tex]
[tex]\texttt{Width} = \boxed {14.25 ~ \texttt{m}}[/tex]
Let's find the perimeter of Rectangle.
[tex]\texttt{Perimeter of Rectangle} = 2 (\texttt{Length} + \texttt{Width})[/tex]
[tex]P = 2 ( L + W )[/tex]
[tex]P = 2 ( 18 + 14.25 )[/tex]
[tex]P = 2 ( 32.25 )[/tex]
[tex]P = \boxed {64.5 ~ \texttt{m}}[/tex]
Learn moreThe perimeter of a polygon : https://brainly.com/question/6361596The perimeter of a rectangle : https://brainly.com/question/7619923The perimeter of a triangle : https://brainly.com/question/2299951Answer detailsGrade: College
Subject: Mathematics
Chapter: Two Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width
Zoe's pizza cost $12.99. She gave a tip of $2.00.
What percent did Zoe leave as a tip?
will offer 16 points if in 60 seconds or less plz
Answer:
She left a 15% tip.
Step-by-step explanation:
Just do $10.99 (The original price, I believe.) and then the tip she gave. ($2.00)
And turn it into a percentage.
I know the other person already answered, 50% credits to them, because they only gave the "Answer:" part. (No offense if you're reading this.)
Hope this helped, and enjoy the little pun!
"The other person already answered 50%"
what is 0.79 as a fraction in simplest form
In the week before and the week after a holiday, there were 10,000 total deaths, and 4958 of them occurred in the week before the holiday. a. Construct a 95% confidence interval estimate of the proportion of deaths in the week before the holiday to the total deaths in the week before and the week after the holiday. b. Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday?
write
23/25 as a percent
It is observed that 55.50 mL of water at 20°C completely fills a container to the brim. When the container and the water are heated to 60°C, 0.35 g of water is lost. (a) What is the coefficient of volume expansion of the container? (b) What is the most likely material of the container? Density of water at 60°C is 0.98324 g/mL.
The coefficient of volume expansion of the container is approximately 0.000161/°C. Based on this, the container is most likely made from a material with similar coefficient value, such as Pyrex glass.
Explanation:The first thing to note is that the change in volume of the water is equal to the volume of the water that was lost through evaporation when the water and its container were heated. This volume can be found by dividing the amount of water lost (0.35g) by its density at 60° C (0.98324 g/mL), giving a volume loss of about 0.356 mL.
The coefficient of volume expansion of the container can be calculated using the formula ΔV/V0 = β ΔT, where ΔV is the change in volume, V0 is the initial volume, β is the coefficient of volume expansion, and ΔT is the change in temperature. Solving for β gives, β = ΔV / (V0 * ΔT) = 0.356 mL / (55.50 mL * 40C) gives approximately 0.000161/°C.
Material of the container can then be inferred based on its coefficient of volume expansion. The value of β is in the order of 10^-5/°C which indicates that the most likely material options are glass or metal, as these materials have coefficients of volume expansion in that range. Of these, Pyrex glass has a value that is closest to the calculated coefficient of volume expansion, around 0.000032/°C.
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The mathematics faculty at a college consists of 4 professors, 5 associate professors, 6 assistant professors, and 8 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
The price of a notebook was
$3.90
yesterday. Today, the price fell to
$3.40
. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Final answer:
The percentage decrease in the price of the notebook from $3.90 to $3.40 is 12.8% when rounded to the nearest tenth of a percent.
Explanation:
To find the percentage decrease in the price of a notebook from $3.90 to $3.40, we use the formula for percentage change:
Percentage Change = [(Old Price - New Price) / Old Price] × 100%
Plugging in our values we get:
Percentage Decrease = [($3.90 - $3.40) / $3.90] × 100%
Percentage Decrease = [$0.50 / $3.90] × 100%
Percentage Decrease = 0.1282 × 100%
Percentage Decrease = 12.82%
When rounded to the nearest tenth, the percentage decrease is 12.8%.
In a bag, a child has 325 coins worth $19.50. There were three types of coins: pennies, nickels, and dimes. If the bag
contained the same number of nickels as dimes, how many of each type of coin was in the bag?
The number of pennies, nickels, and dimes will be 227, 49, and 49, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
In a pack, a kid has 325 coins worth $19.50. There were three kinds of coins: pennies, nickels, and dimes. In the event that the pack contained a similar number of nickels as dimes.
Let 'x' be the number of dimes and nickels and 'y' be the number of pennies. Then the equations are given as,
x + x + y = 325
2x + y = 325 ....1
0.1x + 0.25x + 0.01y = 19.50
0.35x + 0.01y = 19.50 ...2
From equations 1 and 2, then we have
0.35x + 0.01(325 - 2x) = 19.50
0.35x + 3.25 - 0.02x = 19.50
0.33x = 16.25
x = 49
Then the value of 'y' will be given as,
2(49.24) + y = 325
y = 227
The number of pennies, nickels, and dimes will be 227, 49, and 49, respectively.
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An ordinary (fair) die is a cube with the numbers
1
through
6
on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event
A
: The sum is greater than
9
.
Event
B
: The sum is divisible by
5
or
6
(or both).
The probability of rolling a sum greater than 9 (Event A) on two fair dice is 1/6, and the probability of rolling a sum divisible by 5 or 6 (Event B) is 1/3.
Explanation:To compute the probability of Event A, where the sum is greater than 9, we first identify the possible combinations that yield a sum greater than 9: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6). Since there are 6 possible outcomes and 36 total possible outcomes when rolling two dice (6 for the first die × 6 for the second die), the probability is 6/36 or 1/6.
For Event B, we look for sums divisible by 5 or 6. These sums are 5, 6, 10, 12, 15, 18, and 20. The combinations yielding these sums are (1,4), (2,3), (2,6), (3,2), (3,6), (4,1), (4,6), (5,1), (5,5), (6,2), (6,3), (6,6). By counting these results, we have 12 outcomes that meet the Event B criteria out of 36, so the probability is 12/36 or 1/3.
The probability of Event A, the sum being greater than 9, is 1/6, and the probability of Event B, the sum being divisible by 5 or 6, is 1/3.
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if (7^2)^x=1, what is the value of x?
trying to simplify 3√128
The cost of a ski-lift ticket is $31.how much will 17 tickets cost?
someone came into my shop and stole $100.00 from the register without my knowledge. The person came back in with the same $100.00 five minutes later and he bought $70.00 worth of items and gave him back $30.00 in change. How much money did I lose?
2cos^2x+cosx-1=0
Find the degree solutions
The primary solutions in degrees are x = 60°, 180°, and 300°.
We need to solve the equation 2cos²(x) + cos(x) - 1 = 0 and find the degree solutions.
Let's solve this step-by-step:
First, let u = cos(x). The equation becomes 2u² + u - 1 = 0.This is a quadratic equation in u. Solve it using the quadratic formula: u = [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{ 2a}[/tex]Here, a = 2, b = 1, and c = -1. Substitute these values into the quadratic formula:An artist sells 4 paintings for $20 each, 4 sculptures for $60 each, and 4 photographs for $10 each at her art show. How much money does the artist make on these sales in all?
What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?
Final answer:
If a chi-square test produces a chi-square statistic near zero, it implies that there is minimal deviation between the observed and expected values, suggesting independence or a good fit. However, interpretation should consider the specific test and hypotheses.
Explanation:
If a chi-square test produces a chi-square statistic near zero, it implies that there is minimal deviation between the observed and expected values. This suggests that the variables being tested are independent of each other or that the data fits the assumed distribution very well.
For example, in a chi-square test of independence, if the chi-square statistic is close to zero, it indicates that there is no significant relationship between the two factors being tested.
However, it is important to interpret the results in the context of the specific test being conducted, considering the null and alternative hypotheses as well as the significance level.
cos(2θ) + 7 cos(θ) = 8
Round 0.125 to the nearest tenth.
After rounding off the given number 0.125 to the nearest tenth it becomes 0.1.
We know that,
When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
The given number is:
0.125
To round off this digit nearest tenth,
See the number at the hundredth place, which is 2.
And 2 < 5
Therefore,
0.125 is rounded down to 0.1
So after rounding 0.125 number becomes 0.1.
Hence,
The rounded-off number nearest tenth is 0.1.
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is 65 milliometers bigger or 5 centimeters bigger?
Last year, Melissa opened an investment account with
$6200
. At the end of the year, the amount in the account had decreased by
29.5%
. How much is this decrease in dollars? How much money was in her account at the end of last year?
A university student center sells 1,600 cups of coffee per day at a price of $2.40. a market survey shows that for every $0.05 reduction in price, 50 more cups of coffee will be sold. how much should the student center charge for a cup of coffee in order to maximize revenue?
Solve 2x + 6 - 10x = 30
The marginal cost function of producing q mountain bikes is Upper C Superscript prime Baseline left-parenthesis q right-parenthesis equals StartFraction 600 Over 0.3 q plus 5 EndFraction. (a) If the fixed cost in producing the bicycles is dollar-sign 2300, find the total cost to produce 30 bicycles. Enter an answer to two decimal places. dollar-sign 4359.23 (b) If the bikes are sold for dollar-sign 220 each, what is the profit (or loss) on the first 30 bicycles? Enter an answer to two decimal places. dollar-sign 2240.77 (c) Find the marginal profit on the 31st bicycle. Enter an answer to two decimal places. dollar-sign
rewrite as a logarithmic equation.
7^0=1
the formula for glue says to add 60 ml of hardener to each container of resin. How much hardener should be added to 19 containers of resin?
Answer
Find out the how much hardener should be added to 19 containers of resin .
To prove
Let us assume that the hardener should be added to 19 containers of resin be x .
As given
The formula for glue says to add 60 ml of hardener to each container of resin.
than the equation become
x = 19 × 60
x = 1140 ml
Therefore the 1140 ml hardener should be added to 19 containers of resin .
Hence proved
A guy walks into a store and steals $100 from register, comes back and buys $70 worth of merchandise, pys for it with same $100 and gets $30 cash back. how much did store lose?