Answer :- 20/2.5 = 8
......
The total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
20 meters of cloth if each curtain requires 2 and 1/2 meters.
The total length of the cloth = 20 meters
Each curtain requires 2 and 1/2 meters
= 2 + 0.5
= 2.5 meters
Total number of curtains = 20/2.5
Total number of curtains = 8
Thus, the total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
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A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.
Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?
Answer:
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Step-by-step explanation:
Very clear deck :
n1 = 38
x1 = 89.2
s1 = 3.1
Sure seal
n2 = 37
x2 = 92.4
s2 = 3.8
Confidence interval for difference in sample means :
(X1 - X2) ± margin of error
(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))
Using the degree of freedom calculator ; df = 70
Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))
Tcritical at 90% confidence interval, df = 70 = 1.688
Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)
Confidence interval :
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Write the equation that results from transmitting the absolute value equation down 4. Y=|x|
Answer:
y = |x| - 4
Step-by-step explanation:
this translates the function y down by 4 as is required
At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:
Please help me
Use (x − 4)^2 − 28 = 8 for the following:
a. Explain why (x − 4)^2 − 28 = 8 has two solutions. (5 pts)
b. Solve the equation to find the solutions. Show your work. (5 pts)
Answer:
a) Because both sides are perfect squares b) (x-4)² – 28 = 8
(x–4)² = 36
Square root both sides
√(x–4)² = √36
x–4 = 6
x= 10
Step-by-step explanation:
(x–4)(x–4) = 36
x² – 8x+ 16 = 36
x² – 8x – 20 = 0
(x² + 2x)( –10x – 20) = 0
x(x+2) – 10(x+2) = 0
(x+2)(x–10) = 0
x = 10 or –2
x = 10
a. If the power of x is 2 then the value of x will be 2.
b. The values of the x are 6 and -2.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
Given
The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
a. If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.
b. The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
On simplifying
Add 28 both the sides, we have
[tex]\rm (x- 4)^2 = 36[/tex]
Taking square root both the sides, then we have
[tex]\rm x- 4 = \pm 6[/tex]
Add 4 both the sides,
[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]
Thus, the values of x are 6 and -2.
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CAN SOMEONE LLEASE HELP ME IM SO LOST!!
Answer: 1324 in^2
Step-by-step explanation:
Find the interest earned on $5,750 deposited into a savings account for 3 1/2 years at an annual interest rate of 4.5%
The required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
Principal amount (p) = $ 5750, Rate = 4.5%
Tenure or time = 3 1/2 = 3.5 years. Interest earned to be determined.
Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
Here,
[tex]Interest = principle*rate*time[/tex]
Interest = 5750 * 4.5%*3.5
interest = 5750*0.045*3.5
= 2587.75*3.5
= 905.63
Intrest earned = $905.63 against $5,750 deposited into savings account for 3 1/2 years.
Thus, the required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
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Can someone please help me?
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Round your answer to the nearest dollar and do not round until the final answer.
Answer:
$24,992
Step-by-step explanation:
The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.
I = (17,600)(0.084)(5)
I = 7,392
The total amount that must be repaid is the interest + the principal:
7,392 + 17,600 = 24,992
Please let me know if you have questions
Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answer:
The answer is 23 chocolates
Step-by-step explanation:
You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23
A cylinder has a volume 8m cube and a height of 2m.find the base radius of the cylinder.
Answer:
1.12838m or 1.13m
Step-by-step explanation:
hope this helps
Brandon needs to order some new supplies for the restaurant where he works. The restaurant needs at least 549 spoons. There are currently 273 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Brandon could buy for the restaurant to have enough spoons.
Answer:
28 sets
Step-by-step explanation:
Because 10x3=30+73=103 then 103+200=303 keep that in mind then you
^
3 sets
Do 549-303=246=25 sets then 25 sets+3sets=28 sets
Answer:
Inequality: 10s + 273 ≥ 549
Answer: s ≥ 27.6
Step-by-step explanation:
Have a good day :)
Compare the costs of bike trips from the two companies
shown. For both, the cost is a linear function of the
number of days.
Which statement is true?
Backcountry Tours
Scenic Pathways
Number of Days
on Trip (d)
Cost of trip (5)
1
45
charges $25 to sign up
and $35 per day
2
90
3
135
4
180
5
225
Scenic Pathways has no sign-up fee
and a greater cost per day.
Backcountry Tours has a lower
sign-up fee and a greater cost per
day.
Scenic Pathways has a higher
sign-up fee and a greater cost per
day.
Backcountry Tours has a higher
sign-up fee and a greater cost per
day.
Answer:
Step-by-step explanation:
The answers is Scenic pathway has no sign up fee and a greater cost per day
Zach wants to paint the top of the table shown. What is the approximate area that he will paint? Use 3.14 for pi Round to the nearest whole number of inches.
Answer:
≈4776
Step-by-step explanation:
r=78/2
r=39
A=3.14r^2
A=3.14(39)^2
A=3.14*1521
A≈4776
Hope this helps :)
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66
Answer:
66 students prefer the zoo
Step-by-step explanation:
I got it correct :)
someone help me answer this
Answer:
a = 65 yd is the answer.
Step-by-step explanation:
a = ?
b = 72 yd
c = 97 yd
According to the Pythagoras theorem,
a² + b² = c²
a² + 72² = 97²
a² + 5184 = 9409
a² = 9409 - 5184
a² = 4225
a = 65 yd
∴ a = 65 yd is the length of the missing leg.
PLEASE HELP ITS DUE TODAY FOR A GRADE!!!!
Answer:
11
Step-by-step explanation:
Find the length of the hypotenuse of the right triangle with sides 9 and 6
[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]
Use c and the height 2 to find the hypotenuse of the triangle with the dotted line
[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]
the dotted line is 11
Could you please answer? I'm on a big test
Answer:
it is option C
Step-by-step explanation:
download to help your work
1/ a cube and b to the power 4
What is the distance between (2,8) and (8, 16)?
Answer:
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
(6, 8)
Step-by-step explanation:
please mark this answer as brainliest
Answer:
10
Step-by-step explanation:
can someone plz help no links plz
HELP MEEEE !!!
Plsssss
Write the ratio as a fraction in the simplest form:
36 months to 3 years
Answer:
1
Step-by-step explanation:
36 months is equal to 3 years.
There are 12 months in a year.
36/12=3
3/3=1
which of the following is equal to the rational expression?
Answer:
d
Step-by-step explanation:
please mark as brainliest if correct
thank you
have a great day/night
:)
please help no links please.
Answer:
I think it's A, if you just subtract 25 from each top # you should get the right one
edit; yah it's A
Answer:
B is the correct answer
Step-by-step explanation:
Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.
Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.
225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650
Only B matches the description of 1650 total containers. So, B is your answer.
Help please thanks!!!
Answer:
Four tenths
Step-by-step explanation:
You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.
John is moving from Portland to Sacramento, which is 600 miles away. He is traveling at an average speed of 55 miles per hour. Jon stops for gas after a couple of hours and wonders how much further he needs to go. If y represents distance from Sacramento and x represents time, which linear equation would indicate the amount of miles Jon still has to travel to Sacramento?
Answer:
Y=-55x + 600
Step-by-step explanation:
Solve for X. Assume that segments that appear to be tangent are tangent Round to the nearest tenth as necessary.
9514 1404 393
Answer:
11.1
Step-by-step explanation:
The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.
x^2 + 14.2^2 = 18^2
x^2 = 122.36
x = √122.36 ≈ 11.1
The length of the tangent is about 11.1 units.
Freddy swims at the community center each week. He wonders about the area of
the pool. He thinks he cannot figure it out because the pool is not rectangular. Can
you figure out the area of the swimming pool at Freddy's community center?
Answer:
Yes you can.
Step-by-step explanation:
Multiply length x width.
Other:
If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.
Find the lateral area of the prism.
4cm
3cm
6cm
5cm
Lateral Area = [?]cm2
Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Which of the following shows the correct first step to solve x^2-16x=-21 by completing the square? I'll give brainiest ASAP
`
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,
(x-6)² = x² - 12x + 36
Hence, the correct option is C.
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What do you need to do first to solve this equation? -62 +4= -20
Answer:
Add -62 and 4
Step-by-step explanation:
Step-by-step explanation:
-62+4=-20
-58=-20
58=20