Answers
Related Questions
Erin is buying floor tile to put in a room that is 10 ft. by 15 ft. She has chosen tiles that are 18 in by 18 in. Assuming that she needs to buy 10% extra to be safe, how many tiles will she need to buy?
Answers
so lets see what area we need. 10 ft by 15 ft = 150 ft^2
now out tile area is 1.5ft by 1.5 ft = 2.25 ft^2
150/2.25 =200/3=66+2/3, we need atleast 66 and 2/3rd of a tile, we must by atleast 10% to be extra safe so
10% of 66+2/3 is 6.6 + 2/30, so we will by 66+2/3 + 6.6+2/30 =73.3333333333, so we will by a total of 73 tiles.
Erin should buy 74 tiles to be safe.
Since Erin is buying floor tile to put in a room that is 10 ft. by 15 ft., and she has chosen tiles that are 18 in by 18 in., assuming that she needs to buy 10% extra to be safe, to determine how many tiles will she need to buy the following calculation must be performed:
The equality between feet and inches must be established, then the area of the room must be calculated, and then the area of each tile. Then, the area of the room must be divided by the area of the tile to know how many should be used.
1 foot = 12 inches 1.1 x ((10 x 12) x (15 x 12)) / (18 x 18) = X 1.1 x (120 x 180) / 324 = X 1.1 x 21,600 / 324 = X 23,760 / 324 = X 73.33 = X
Therefore, Erin should buy 74 tiles to be safe.
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Given the following sets.
A=(0,1,2,3)
B=(a,b,c,d)
C=(0,a,2,b)
Find A n C.
Answers
Answer:
A ∩ C = {0, 2}
Step-by-step explanation:
The elements that sets A and C have in common are {0, 2}.
the area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle
Answers
(14.25x2)+(18x2)= 64.5m
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
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.
Answers
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%.
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?
Answers
22,401-14,568=7,833
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?
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The male Cuban tree frog is about 2/5 the size of the female Cuban tree frog. The average size of the female Cuban tree frog is 6 inches. what is he size of the male cuban tree frog?
Answers
The size of the male Cuban tree frog is 2 2/5 inches.
Given that, the male Cuban tree frog is about 2/5 the size of the female Cuban tree frog. The average size of the female Cuban tree frog is 6 inches.
We need to find the size of the male Cuban tree frog.
How to multiply fractions with whole numbers?Multiplying fractions with whole numbers is an easy concept. We just need to convert the whole number into a fraction by writing 1 as the denominator and writing the whole number as the numerator. Then it is multiplied by the given fraction. After multiplying these, the final result should be in the form of a proper fraction or a mixed fraction.
Now, 2/5 × 6
=12/5
=2 2/5
Therefore, the size of the male Cuban tree frog is 2 2/5 inches.
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x:2,4,5,7,8 y:4,8,10,14,16 does this table represent a non or linear function?
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cos(2θ) + 7 cos(θ) = 8
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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?
Answers
19 containers of resin with 60 ml of hardener each so the total is 1140 ml of hardener.
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
I need help with a math problem.
Answers
11.2+4+3.4+7.3+7.8=
33.7
your perimeter is 33.7 m
4m + 3.4m + 7.3m + 11.2m = 25.9m
A guy walks into the store and steals $100 bill from the register without the owner’s knowledge. He comes back 5 minutes later and buys $70 worth of goods with the $100 bill. The owner gives him back $30 in change. How much money did the owner lose?
Answers
first the guy steals $100 from the owner. Therefore that $100 is a direct loss for the owner.
the same guy comes and pays $100 for goods worth $70. and the balance is paid back to the guy.
So the owner gets 100 and pays back 30 and gives goods worth 70. Therefore that transaction is cancelled as the amounts have been paid and no net effect with that transaction . the owner gets 70 for the goods he sold so that transaction wont lose his money. the fact that the guy paid for the bill with the money he stole isn't relevant here as the transaction has been completed
so the only loss for the owner is the $100 the guy stole at first
answer is $100
Answer:
The money that owner loses is:
$ 100
Step-by-step explanation:
Since, the guy walks into the store and steals $100 bill from the register without the owner’s knowledge.
Again he comes back with the bill and buys $70 worth of goods with the $100 bill. The owner gives him back $30 in change.
This means that the loss that the owner gets at the starting is recovered as the bill is returned back to the owner and the only loss that is remaining is the cost of the goods that he buy (i.e. $ 70 ) and cost that owner returned him (i.e. $ 30)
Hence, the total loss of the owner is:
$ 70+$ 30=$ 100
Which of these numbers is composite? 29, 41, 47, 82, 89
Answers
82 is a composite number.
In a zoo the ratio of adults to children is 13 to 11. If there are 96 people in the zoo how many children are there?
Answers
13/24(96) = 1248/24 = 52 <== adults
11/24(96) = 1056/24 = 44 <== children
A flagpole is 25 feet tall. A rope is tied to the top of the flagpole and secured to the ground 16 feet from the base of the flagpole. Draw the situation and then use the Pythagorean theorem to estimate the length of the rope to the nearest integer value
Answers
P. theorem -- a^2 + b^2 = c^2
a = 25
b = 16
so 25^2 + 16^2 = c^2
c^2 = 881
c = sqrt881
The pair of points is on the graph of an inverse variation. Find the missing value.
(5, 4) and (x, 7)
Answers
Answer:
The missing value of [tex]x =\frac{20}{7} =2 \frac{6}{7}[/tex]
Step-by-step explanation:
The inverse variation is given by: [tex]x \propto \frac{1}{y}[/tex]
Now convert this into an equation we must multiply the constant variation k we get,
[tex]x =\frac{k}{y}[/tex]
To find the value of k;
use the coordinates (5,4) , where x =5 and y =4
then,
[tex]5=\frac{k}{4}[/tex] or
[tex]k =5 \times 4[/tex]
On Simplify, we get:
k = 20
the equation become: [tex]x=\frac{20}{y}[/tex]
When y =7 we have;
[tex]x= \frac{20}{7}[/tex]
(x ,7) = [tex](\frac{20}{7} , 7)[/tex]
therefore, the missing value x is, [tex]x =\frac{20}{7} =2 \frac{6}{7}[/tex]
Answer:
2 6/7
Step-by-step explanation:
Joe Jay purchased a new colonial home for $260,000, putting down 20%. He decided to use Loyal Bank for his mortgage. They were offering a 6½% for a 25-year mortgage. The principal after the first payment had a balance outstanding of:
Answers
Final answer:
The outstanding balance on Joe Jay's mortgage after the first payment cannot be determined without the monthly payment amount. Typically the initial payments are mainly applied to interest, so the principal would remain close to the financed amount of $208,000.
Explanation:
Joe Jay made a 20% down payment on a $260,000 home, which equals $52,000 ($260,000 * 0.20). The remaining balance he would need to finance through a mortgage would be $260,000 - $52,000 = $208,000. To find out the balance outstanding after the first payment, we would typically use an amortization formula or a financial calculator, considering the 6.5% annual interest rate and the 25-year term of the mortgage. Unfortunately, without additional information such as the monthly payment amount, we cannot calculate the exact principal balance outstanding after the first payment. Generally, the first few payments in an amortization schedule primarily cover interest, so the principal would not change much from the initial $208,000.
Final answer:
The principal after the first payment has an outstanding balance of $206,830.79.
Explanation:
To find the principal after the first payment, we need to calculate the amount of the loan that remains after the down payment and the first payment.
Step 1: Calculate the down payment amount by multiplying the purchase price by the down payment percentage: $260,000 * 0.20 = $52,000.
Step 2: Calculate the loan amount by subtracting the down payment from the purchase price: $260,000 - $52,000 = $208,000.
Step 3: Calculate the monthly interest rate by dividing the annual interest rate by 12: 6.5% / 12 = 0.00542.
Step 4: Calculate the principal after the first payment by subtracting the monthly payment from the remaining loan balance: $208,000 - $1,169.21 = $206,830.79.
Therefore, the outstanding balance after the first payment is $206,830.79.
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?
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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.
Answers
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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2cos^2x+cosx-1=0
Find the degree solutions
Answers
cos x=t
2t²+t-1=0
t=[-1⁺₋√(-1+8)]/2=(-1⁺₋3)/4
We have two possible set solutions:
First set solutions.
t₁=(-1-3)/2=-4/4=-1
cos x=-1 ⇒x=cos⁻¹ (-1)=π +2kπ or 180º+360ºk (k=(...-2,-1,0,1,2...)
Second set solutions:
t₂=(-1+3)/4=2/4=1/2
cos x=1/2 ⇒ x=cos⁻¹ 1/2=π/3+2kπ U 5π/3+ 2kπ or
60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)
solutions: first set solutions U second set solutions:
Answer in radians : π +2kπ U π/3+2kπ U 5π/3+ 2kπ (k=...-1,0,1,...)
Answer is degrees: 180º+360ºk U 60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)
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:[tex]u = \frac{-1 \pm \sqrt{1^2 - 4(2)(-1)}}{ (2 * 2)}[/tex]
u = [-1 ± √(1 + 8)] / 4
u = [-1 ± √9] / 4
u = [-1 ± 3] / 4This gives us two solutions: u = 1/2 and u = -1.Recall u = cos(x):
cos(x) = 1/2 leads to x = 60° and x = 300°
cos(x) = -1 leads to x = 180°Thus, the solutions to the equation 2cos²(x) + cos(x) - 1 = 0 in degrees are x = 60°, 180°, and 300°.
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?
Answers
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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Ten randomly selected automobiles were stopped, and tread depth of the right front tire was measured. The mean was 0.32 inch, and the standard deviation was 0.08 inch. Find the margin of error for the confidence level of 95%.
If you increase the confidence level will the confidence interval estimate be wider or narrower?
Answers
Solve for x
4ln(4x)=-4
Answers
㏑(4x) = -1
e⁽ⁿ⁽⁴ˣ = e⁻¹
4x = e⁻¹
x = ¹/₄e⁻¹
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
Answers
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%"
The cost of a ski-lift ticket is $31.how much will 17 tickets cost?
Answers
answer 527
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?
Answers
Below is the solution:
p-hat = 5445 / 11000 = 0.495
For a 95% confidence interval, use z = 1.96
The confidence interval is then:
p-hat - z(√(p-hat)(1 - p-hat) / n) < p < p-hat + z(√(p-hat)(1 - p-hat) / n)
0.495 - (1.96)(√(0.495)(1 - 0.495) / 11000) < p < 0.495 + (1.96)(√(0.495)(1 - 0.495) / 11000)
0.486 < p < 0.504
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?
Answers
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?
Answers
Given that the store already lose $100 stolen by the guy, this guy also bought a merchandise worth 70$, and gets a change of $30. The merchandise was paid, but still, the store lost $100, and then an additional $30, for giving it back to the guy. So the total lost of the store would be $130. Hope this answer helps.
Furry Pets pet store has 20 animals and 2/5 of them are puppies. Pets Galore pet store has 12 animals and 3/4 of them are puppies. Which store has more puppies?
Furry Pets
Pets Galore
Each store has the same number of puppies
Answers
20 x 2/5
40/5
8
Furry Pets has 8 puppies.
Pets Galore has 12 animals and 3/4 puppies.
12 x 3/4
36/4
9
Pets Galore has 9 puppies.
8 is less than 9, so Pets Galore has more puppies.
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.
Answers
the probability of selecting a professor (4) or an instructor (8) is:
(4+8)/ 23 => 12/23 => 0.54 or 54%
8+6+5+4=23
since there are 5 associate professors and 8 instructors you add them together.
4+8=12
you divide the number of professors and instructors by the number of everyone.
12/23=.52
you move the decimal over 1 place and there's your answer.
52%