Mrs.Cody needs 1 3/4 yards of fabric to make a pillow. How many yards of fabric will she need to make 12 pillows?
Answer:
21 yards
Step-by-step explanation:
1 3/4 * 12 = (12 + (3/4 of 12)) = 12 + 9 = 21
You're going on a 1211-mile trip, and your car gets about 29 miles per gallon. Gas prices along your route average $3.10. Estimate the cost of gasoline for this trip by rounding the distance to 1200 miles, the mileage to 30 miles per gallon, and the cost of gas to $3.00 per gallon. Calculate the answer without using estimation and compare the two results. (Round your answers to the nearest cent.)
There is a difference of actual and approximations 9.46 dollars.
What is unitary method ?Unitary method is a mathematical way of first deriving the value of a single unit then multiplying the given unit to obtain the required result.
According to the given question we have to compare the results where in first case we put actual values and on the second case we round the values.
In the first case
You're going on a 1211 mile trip, and your car gets about 29 miles per gallon.
So, the total fuel consumption will be (1211/29) gallons which is
= 41.76 gallons.
Given 1 gallon of gas costs 3.10 dollars.
∴ 41.76 gallons of gas will cost ( 41.76×3.10) dollars which is
= 129.456 dollars.
= 129.46 dollars.
In the second case
It is a 1200 mile trip and the fuel economy of the car is 30 miles per gallon.
So, the total fuel consumption will be
= 1200/30
= 40 gallons.
Given 1 gallon of gas costs 3 dollars.
∴ 40 gallons of gas costs (40×3) dollars which is
= 120 dollars.
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Someone please help me with this problem
Simplify (6^2)^2
Answer: 1296
Step-by-step explanation:
(6^2)^2=
(6^(2*2))=
6^4=1296
Tanisha read 4 books in 5 months. If she reads at a constant rate, how many books
did she read each month? Give your answer as a whole number or a FRACTION in
simplest form.
Answer:
4/5
Step-by-step explanation:
The denominator is the total.
The numerator/top.
The rate of reading book by Tanisha is 4/5 book per month.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The book read by Tanisha in 5 months = 4 book.
To find the book read by Tanisha each month,
Use ratio property,
In 5 months = 4 book
in 1 month = 4/5 book.
In one month, the book read by Tanisha is 4/5 fraction.
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PLEASE HELP ME!!! DUE TODAY, I WILL GIVE 20 POINTS!!!! NO EXPLAINATION NEEDED!!!! FIRST PERSON TO ANSWER GETS BRAINLIEST AWARD!!!!
Answer:
CD=2
BC=3
A1B1=2.4
D1E1=3.2
For the boxes on the bottom:
BC=B1C1 CD=C1D1
A1B1=AB D1E1=DE
Answer:
BC = 3
CD = 2
A1 B1 = 2.4
D1 E1 = 3.2
Enter the prime factorization of 240. Use exponents for repeated factors. Be sure to use the between different factors. For example, the prime factorization for 12 can be entered as 2 ^ 2 * 3 or 3 * 2 ^ 2
Answer: 240=2⁴*3*5
240=2*2*2*2*3*5
240=2⁴*3*5
My question is in pictures
The standard price night cost at Night-Time Rest Days is $ 26.30 .
Average = Sum of all the observations/Number of observations
Substituting the values in the formula, we get that:
⇒ $ 20.60 = $( 22.45 + 18.55 + 24.50 + 11.20 + x )/5
⇒ $ 20.60 = $ (76.7 + x)/5
⇒ 20.60 × 5 = 76.7 + x
Solving to find the value of x, we get that
⇒ 103 = 76.7 + x
⇒ x = 103 - 76.7
⇒ x = 26.3
Therefore, the standard price night cost at Night-Time Rest Days is $ 26.30 .
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Which of the following statements is true?
3/4 > 3/5
3/7 > 3/5
12/25 > 3/5
30/100 > 3/5
Answer:
3/4 > 3/5 is true.
Hope this helps :)
Explanation and Check below.
Step-by-step explanation:
1. To compare fractions with the same numerators, look at the denominators and the greater one is the smaller number.
2. To compare fractions with the same denominator, look at the numerator and the answer will be the bigger number.
3. To compare fractions with different denominators, find the Least Common Multiple (LCM).
3/4 > 3/5 ✓
3/7 > 3/5 ✘
12/25 > 3/5 = 12/25 > 15/25 ✘
30/100 > 3/5 = 30/100 > 60 ✘
Question: Describe a real-world situation where the function that models the situation is neither discrete or continuous.
Options:
A) A student records the number of hours she spends volunteering each week. So, the first week she volunteers for 4 hours, the sec-
ond week she volunteers for 5.5 hours, and so on.
B) A studio charges musicians to use the space and recording equipment by the hour, rounding a fraction of an hour up. So, for up to
1 hour, the studio charges $100, but for up to 2 hours, the studio charges $200, and so on.
C) A landscape company keeps track of the number of gallons of fertilizer they have left after working in each yard. So, the company
has 15.25 gallons of fertilizer left after working in the first yard, 13.5 gallons of fertilizer left after working in the second yard, and so
on.
D) A runner tracks the total number of miles he has run. So, after 1 day he ran 4 miles, after 2 days he ran a total of 8.25 miles, and so
on.
The right response is A: After working on each yard, a landscaping business keeps note of how many litres of fertilizer are still available.
Therefore, after working in the first yard, the firm has 15.25 gallons of fertilizer left, followed by 13.5 gallons after working in the second yard, and so on.
The scenario of the model should be realistic and should either be discrete or continuous, according to the query.
Discrete and continuous functions: what are they?When the value that the function uses is distinct or separate, the function is referred to as a discrete function. Similar to a discrete function, a continuous function defines its values as an interval and takes it continuously.
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There are 10 numbers listed below. 13.5 12.5 10.8 9 11 10 12.5 13 10.5 12 What is the mode of these numbers?
Answer:
12.5
Step-by-step explanation:
13.5 12.5 10.8 9 11 10 12.5 13 10.5 12
The mode is the number that appears the most number of times.
We place the numbers in ascending order just for convenience.
9 10 10.5 10.8 11 12 12.5 12.5 13 13.5
Every number appears once except 12.5 that appears twice.
Answer: 12.5
Mr Moon bought a coffee and a sandwich every day for 100 days
from his local shop. In total, he spent £783.68. How much is one
coffee and sandwich? Round your answer to 2 decimal places.
Answer:
7.84
Step-by-step explanation:
783.68
[tex]783.63 \div 100 = 7.8363[/tex]
Approx to 7. 84
with reference to the figure below, find x, y, z, t such that n(U) =50, n(A) = 25, n(B) = 13 and n(A’nB’) = 12
(pls help i’m gonna cry)
Accordingly the Venn diagram The required values of x = 12 , y = 13 , z = 24 and t = 13.
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.
In Venn diagram, if two sets A and B do not intersect, then n(A∩B)=0 and n(A∪B) = n(A) + n(B).
Given: n(U) = 50, n(A) = 25, n(B) = 13 and n(A'∩B')=12
We have to determine the values of x, y, z, and t.
According to the given figure,
n(A') = n(U) - n(A)
n(A')= 50 - 25
n(A') = 25
n(B') = n(U) - n(B)
n(B') = 50 - 13
n(B') = 37
n(A∩B) = n(A') - n(A'∩B')
n(A∩B) = 25 - 12
n(A∩B) = 13
So, y = n(A∩B) = 13
As in the Venn diagram, we know that,
x + y = n(A')
x = n(A') - y
x = 25 - 13
x = 12
y + z = n(B')
13 + z = 37
z = 37 - 13
z = 24
t = n(U) - [n(A) + n(B)]
t = 50 - [25+13]
t = 50 - 37
t = 13
Therefore, the values of x, y, z and t are 12, 13, 24, and 13.
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What is the solution set for 7x − 3 =18, given the replacement set {0, 1, 2, 3, 4}?
x = 0
x = 1
x = 2
x = 3
x = 4
Answer:
x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−3=18
Step 1: Add 3 to both sides.
7x−3+3=18+3
7x=21
Step 2: Divide both sides by 7.
7x/7 = 21/7
x=3
Liam tracked number of customers who entered his store each minute for an hour.
The histogram below shows the distribution of number of arrivals for a total of 60 minutes.
Describe the distribution of the arrivals.
The distribution of the arrivals based on the histogram from Liam's information can be described as being Right-Skewed.
Why is the distribution right skewed?A distribution is said to be right-skewed when its tail is to the positive direction of the number line which is the case here as the tail points towards the increasing part of the number line.
The mode would also be in the left of the mean which is the case here with the mode of 13 being less than the mean.
In conclusion, the distribution is right-skewed.
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Zach had surgery, which was his third claim of the year. He had a bill of $5000. Considering the prior visits, what is Zach’s portion of this bill and what is the responsibility of the insurance carrier?
Zach is supposed to pay $1000 for this surgery. The other $4000 is to be covered by his insurance.
Responsibility of insurance carriers:-
A primary function of an insurance agent is that of a communicator, counselor, and facilitator. The insurance agent can provide the best products and services for the prospective customer's various needs, such as life, property, health, and burglary insurance. When purchasing an insurance product, let the insurance agent know ahead of time how much money they have set aside for insurance coverage. In turn, the insurance agent will assist their clients in obtaining the lowest or best insurance product costs.
:- The insurance agent has a variety of responsibilities in the insurance industry, as noted below:
1) An insurance agent assists customers in promoting and selling insurance products and services.
2) Providing consumers with solid financial advice and personal service
3) Desires to work with individuals and their families and businesses.
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PLEASE HELP I NEED TO FINISH
Answer: x=-4
Step-by-step explanation:
45 is what percent of 180?
Answer:
It is 25% percent......
Answer:
Step-by-step explanation:
45 / 180 = 0.25
25%
The candlestick chart to the right shows market action for a
particular stock for five days in September. The lengths of
the candlesticks for September 8 and 11 are approximately
the same. Explain what this means about trading prices on
both of those days.
The lengths of the candlesticks for September 8 and 11 are approximately the same because this physical object stands in for the price range between the opening and closing prices for that trading day.
The close was lower than the open if the true body is filled in or is completely black. Real bodies that are empty indicate that the close was higher than the open.
Let's consider a case study over a longer time frame, say a week. In this example, the candle records prices from Monday through Friday of the work week. The price at which the market starts on Monday at 9:15 a.m., the first business day of the week, will be the opening price. The highest and lowest prices ever recorded will be set during that particular week.
Over a century before the West created the bar and point-and-figure charts, candlestick charts were invented in Japan. While there was a correlation between rice price and supply and demand in the 1700s, a Japanese man by the name of Homma found that traders' emotions had a significant impact on the markets.
Hence, predict the short-term direction of the price, traders utilise the candlesticks to help them make trading decisions.
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Solve this system by substitution (Pls answer step by step so I can understand thank you!)
Answer:
-3
Step-by-step explanation:
1) -x-y = 9
2) -3x+y = 3
By adding 3x to each side on equation #2, you get that y = 3+3x.
Now, we can substitute the value of y into the second equation. If you do this, you will get that [tex]-x-(3+3x)=9[/tex].
Simplifying gives you: [tex]-4x-3=9[/tex]
Adding three to both sides: [tex]-4x=12[/tex]
And finally dividing by negative four: [tex]x=-3[/tex]
You will get x = -3
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u=1.4 kg and a standard deviation of a = 4.6 kg. Complete
parts (a) through (c) below.
Save
a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.
The probability is
(Round to four decimal places as needed.)
By using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547
What is normal distribution?
A probability distribution known as a "normal distribution" is symmetric about the mean and indicates that data that are close to the mean are more likely to occur than data that are far from the mean.
Given that:
μ= 1.4
σ=4.6
We know the formula of normal distribution is z = (x-μ)/σ
[tex]P(0 < x < 3)=P(x < 3)-P(x < 0)[/tex]
For [tex]P(x < 3)[/tex]
[tex]z=\frac{3-1.4}{4.6} \\z=0.35[/tex]
By using the z-table [tex]P(x < 3)=0.6368[/tex]
For [tex]P(x < 0)[/tex]
[tex]z=\frac{0-1.4}{4.6}\\z=-0.30[/tex]
By using the z-table [tex]P(x < 0)=0.3821[/tex]
Substituting [tex]P(x < 3)[/tex] and [tex]P(x < 0)[/tex] in [tex]P(0 < x < 3)[/tex]
we get,
[tex]P(0 < x < 3)=0.6368-0.3821\\P(0 < x < 3)=0.2547[/tex]
Therefore, by using normal distribution, we get probability of gains between 0kg to 3kg is 0.2547
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John bought a gym membership for $20 each month.
He pays an additional $4 each time he attends a class
with a trainer. Last month, he spent $76 total. How
many classes did he attend with the trainer?
8 classes
19 classes
16 classes
12 classes
14 classes
Answer: 14 classes
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
76=4x+20
Step 2: Flip the equation.
4x+20=76
Step 3: Subtract 20 from both sides.
4x+20−20=76−20
4x=56
Step 4: Divide both sides by 4.
4x
4
=
56
4
x=14
Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? Set A: 1 2 3 23 24 25 Set B: 9 10 11 14 16 18
a.)About the same
b.)Not enough information provided to tell
c.)Larger
d.)Smaller
Set A's standard deviation is larger than that of Set B (option c).
What are the standard deviations?
Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. Standard deviation is a measure of variation of a dataset.
In order to determine the standard deviation, take the following steps:
Determine the average of the observation:Determine the difference between each value and the average and then square the result:Determine the average of the sum of the squared differences and then find the square root of the mean:Standard deviation of Set A:
(1 - 13)² + (2- 13)² + (3- 13)² + (23- 13)² + (24- 13)² + (25 - 13)²
144 + 121 + 100 + 100 + 121 + 144 = 730
√730 / 6 = 11.03
Standard deviation of Set B:
(9 - 13)² + (10- 13)² + (11- 13)² + (14- 13)² + (16- 13)² + (18 - 13)²
16 + 9 + 4 + 1 + 9 + 25 = 64
√64 / 6 = 10.67
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7[4^2-6|5+(2^3-18)+16/8|]
Kassim has a water barrel in his garden. The water barrel is full and Kassim wants to know how much water is in the barrel. The barrel is a cylinder which is 1.1m high and has a diameter of 70cm. Give your answer in cm3 to three decimal places. Use 3.14 as an approximate to [tex]\pi \pi[/tex]
The amount of water in the barrel is 423,115 cm³.
How much water is in the barrel?A cylinder is a three-dimensional object. It is a prism with a circular base. In order to determine the amount of water in the barrel, the volume of the barrel has to be determined.
Volume of a cylinder = nr^2h
Where:
n = 3.14
r = radius = diameter / 2 = 70 / 2 = 35cm
h = height = 1.1m
100cm = 1 meter
1.1 x 100 = 110 cm
Volume of a cylinder = 3.14 x 35² x 110 = 423,115 cm³
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Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have just determined Net Income for Adventure Travel in the previous question. Now, you must prepare the Statement of Retained Earnings.
What is the Retained Earnings Balance as of the Ending of the Year, December 31, 20XX? Specify whole number.
The Retained Earnings Balance as of the Ending of the Year, December 31, 20XX is $23,900
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expenses=32,800+16,800+3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid
Retained earnings=$14,640+$ 10,260-$1,000
Retained earnings=$23,900
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solve 2(x + 3)=-4(x+1) for x
[tex]\boxed{\begin{minipage}{5cm}\sf{2(x+3)=-4(x+1)}\\\sf{2x+6=-4x-4}\\\sf{6x+6=-4}\\\sf{6x=-10}\\\sf{x=-10/6}\\\sf{x=-5/3}\end{minipage}}[/tex]
WILL GIVE BRAINLIEST
1. Find the equation of the line graphed at right.
2. What are its
x and
y intercepts?
Step-by-step explanation:
Hopefully this helps you.
A choir bakes and sells cookies to raise money for their end-of-year production. Lin sells 3 times as many cookies as Noah. Jada sells 5 more cookies than Lin. Elena sells 7 more cookies than Jada. Diego sells 4 fewer cookies than Noah, and Andre sells twice as many as Diego. If the six students sold 317 cookies, write and solve an equation to determine how many cookies Noah sold.
The equation used to determine how many cookies Noah sold is 317 = 13n + 5 where number of cookies Noah sold is 24
EquationTotal cookies sold = 317Noah = nLin, l = 3nJada, j = 5 + 3nElena, e = 7 + (5 + 3n)Diego, d = n - 4Andre, a = 2(n - 4)Total = Noah + Lin + Jada + Elena + Diego + Andre
317 = n + 3n + (5 + 3n) + {7 + (5 + 3n)} + (n - 4) + {2(n - 4)}
317 = n + 3n + 5 + 3n + 7 + 5 + 3n + n - 4 + 2n - 8
317 = 13n + 5
317 - 5 = 13n
312 = 13n
divide both sides by 13n = 312 / 13
n = 24 cookies
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I need help with this please
Answer:
133
Step-by-step explanation:
SP is part of a line and line is 180°
so:
m∠PQR + m∠RQS= 180°
(3x-5) + ( x+1) = 4x-4=180
4x = 184
x= 46
m∠PQR = 3X-5 = 3(46)-5 =133
Answer:
133
Step-by-step explanation:
Supplementary angles are angles that sum to 180°, meaning they form a straight line.
Solving for x
Since we know that these 2 angles will sum to 180 (remember they are supplementary) we can add their expression together and set it equal to 180.
(3x-5) + (x+1) = 180Next, combine like terms.
4x - 4 = 180Add 4 to both sides
4x = 184Divide by 4
x=46Solve for m∠PQR
Now that we know the value of x, we can find the measure of PQR. Simply plug 46 in for x and solve.
3(46) - 5 = 133This means that m∠PQR = 133°.
Pls help I’ll brainlest and add extra points
Answer:
Step-by-step explanation:
b. 3^5
c. 2^7
d. xy^7
e. 64xy^5