A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for
$68 per square YARD.
A yard equals 3 feet. How many square feet are in a square yard? Hint: A square yard is a 3 x 3 foot square, so
how many squares are there total?
Answers
Answer:9 square ft I believe
The area of the square yard is 9 feet.
Area of the square:
The area of a square is defined as the region occupied by the figure square.
In other words, it is defined as the number of unit squares required to cover the square surface. Since all the four sides of the square are of equal measure, the square area can be easily found.
Given dimensions are,
Length=13 feet
Breadth= 15 feet
A yard equals to 3feet
A square yard contains,
[tex]3\times 3=9 feet[/tex]
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Related Questions
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Answers
No. of Teachers joined = 10
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
PLEASE HELP!!
Quadrilateral ABCD is inscribed in circle O as shown below.
Which of the following would be used to find the m∠3?
A. 90°+m∠4
B. 180°−m∠1
C. 270°+m∠2
D. 360°−(m∠1+m∠2)
Answers
Answer:
A. 90°+m∠4
Step-by-step explanation:
Also
∠ A + ∠ C = 180 o = ∠ B + ∠ D
⇒ 2 x+ ( 3 x − 5 ) = 180 0 = ( x + 5 ) + ∠ C
5 x − 5 = 180
Add 5 to both sides
5 x = 185
Divide both sides by 5
x = 185 5 = 37
But it was A. 90°+m∠4
The equation to use to find angle m∠3 is 180 - m∠1.
Option B is the correct answer.
We have,
In a quadrilateral the opposite angle is supplementary.
This means,
The sum of the opposite angles is 180.
Now,
m∠1 + m∠3 = 180
Solving for m∠3.
m∠3 = 180 - m∠1
Thus,
The equation to use to find angle m∠3 is 180 - m∠1.
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Estimate the area of the circle. Use 7/22 for π
Answers
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
Please help me out with this asap.
Answers
Answer:
a) 21
b) 3905.44236
c) 251.94689
d) 1763.62824
Step-by-step explanation:
a) 42÷2=21
b) 60x42=2520
[tex]\pi[/tex]r²=1385.44236
2520+1385.44236=3905.44236
c) 2x[tex]\pi[/tex]x21=131.94689+60+60=251.94689
d) 251.94689x7=1763.62824
A father is questioning the probability his daughter will receive a scholarship. She is a finalist for two different scholarships. The awarding of these scholarships is independent. For the first scholarship (Scholarship A) there are 5 finalists and two scholarships will be awarded. For the second scholarship (Scholarship B) there are also five finalists and one scholarship will be awarded.
1. What is the probability that she will receive Scholarship A and Scholarship B?
2. What is the probability that she will receive at least one scholarship, Scholarship A or Scholarship B?
3. Should she apply for both scholarships or one of the scholarships? If just one, which one? Why?
Answers
Solution :
According to the question, let
A : winning first scholarship
B : winning second scholarship
So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.
Therefore,
[tex]$P(A)=\frac{2}{5}$[/tex] and [tex]$P(B)=\frac{1}{5}$[/tex]
1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]
[tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]
[tex]$=\frac{2}{25}$[/tex]
2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]
[tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]
[tex]$=\frac{13}{25}$[/tex]
3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answers
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
When simplifying x^3 · x^2, the exponents are added together.
True
False
Answers
In this problem, the two bases that are being multiplied are the same, x.
Therefore, we will add the exponents: x^3 • x^2 = x^5.
The correct answer is true. The exponents are added together when simplifying this expression.
May you solve this for me?
Answers
Answer: 23.94 cm
Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.
I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.
The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass seed that the landscape needs?
Answers
Answer:
[tex]Total = 18\frac{1}{4}[/tex]
Step-by-step explanation:
Given
The attached line plot
Required
The total
To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.
So, we have:
[tex]Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3[/tex]
[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3[/tex]
Convert fractions to improper fraction
[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6[/tex]
[tex]Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6[/tex]
Add fractions
[tex]Total = 18\frac{1}{4}[/tex]
Hence, the total amount is: [tex]18\frac{1}{4}\b[/tex] pounds
which one of yu geniuses can answer this question ???
Answers
Answer:
B. 20
Step-by-step explanation:
x + 40 = 3x
x - x + 40 = 3x - x
40 = 2x
20 = x
Plz someone answer I will give u points
Answers
Answer:
FL = 54°
Step-by-step explanation:
m<MNF = ½(ML + LF) (inscribed angle theorem)
7 + 8x = ½(72 + 7x + 5)
Solve for x
2(7 + 8x) = 72 + 7x + 5
14 + 16x = 72 + 7x + 5
Add like terms
14 + 16x = 77 + 7x
16x - 7x = 77 - 14
9x = 63
x = 63/9
x = 7
✅FL = 7x + 5
Plug in the value of x
FL = 7(7) + 5 = 49 + 5
FL = 54°
What is the area of the triangle?
Answers
1/2 x 4 x 3 = 6 units squared
You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the percentage of adults who used social media five years ago. Of the 2809 people who responded to survey, 1634 stated that they currently use social media. Use the data from this survey to construct a 98% confidence interval estimate of the proportion of adults who use social media.
Answers
Answer:
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 2809 people who responded to survey, 1634 stated that they currently use social media.
This means that [tex]n = 2809, \pi = \frac{1634}{2809} = 0.5817[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034[/tex]
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
Please help, will give 14 points.
Answers
Answer:
25
Step-by-step explanation:
count the frequencies so to get your answer. It is 25.
if it helps don't forget to like and mark me down
Please help me quickly
Answers
Answer:
the first one its 100 degrees
the second question is acute i think
and the last one is right
Step-by-step explanation: sorry if its wrong :(
Write the fraction as BOTH percentages and decimals.
114/165
Answers
Answer: 69.09% is the percentage. 0.6909 is the decimal
Step-by-step explanation:
hope this helps! you don't have to but maybe mark as brainliest?
Write your answer using integers, proper fractions, and improper fractions in the simplest form
PLEASE HELP
Answers
Answer:
y = 1/4 x - 7/2
Step-by-step explanation:
x - 4y = 14
-4y = -x + 14
y = -x/(-4) - 14/4
y = 1/4 x - 7/2
Find the volume of the prism
Answers
1/2 x 5 x 2 x 3
=15
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answers
Answer:
my answer is the 500 or 5
Step-by-step explanation:
I'm saying that because some books write for you the zeros and other write for you the zeros if you find the book saying 500 that's the answer if the book is saying 5 that's the answer but don't say they're both correct answers nice to help you.
Without solving, tell what is true of the product of 8 and 12.
Answers
Answer:
96 is the answer and it has always been the answer
Which of the following functions has a lower bound but no upper bound?
A. e^x^2
B. sin(x)
C. 1/x
D. ln(x)
Answers
Answer:
C. 1/x
Step-by-step explanation:
Sana nakatulong
The radius of a circle is 13 cm. Find its circumference in terms of pie.
Answers
Answer:
26 pi
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
first the formula for finding the circumference of a circle is πr2
where π = 22/7
r = 13x13
hence, circumference = πr2
= 22/7 x 13 x 13
= 22/7 × 169
= 22 x 169/7
= 3718/7
= 531 cm
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Related questions
Circle the like terms in each expression. Then identify the coefficients of the like terms. -x^2y + (-xy) + 2xy + (-2xy^2 ) 7 + 7c + 3 + 7c^3 + (-4)
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
a. Design a non-recursive algorithm for computing an (discussed in the class). What is the basic operation? How many times is the algorithm's basic op
Part A: How can I write algebraic expression for 4 more than 3 times a number. (5 points) Part B: How can I write verbal expression for 2(n + 9). (5
ATTENTION - IN ALL THE QUESTIONS N=18 PLEASE MAKE SURE TO USE N=18 IN EVERY QUESTION In the problems #1a,b simplify the expressions and prese
Answers
Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
A composite figure is shown below.
What is the area of the composite figure?
12 in.
0204 square inches
222 square inches
3 in.
5 in.
228 square inches
4 in. 4 in.
234 square inches
24 in.
8 in.
Answers
Answer:
234 square inches
Step-by-step explanation:
Ok take this shape step by step. First solve the rectangle.
The area of the rectangle would be: 24 * 8 = 192
Rectangle Area: 192
Then, solve the area for the triangle in the middle.
The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.
Middle Triangle Area: 12
Then solve for the last triangle.
Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30
Last Triangle area: 30
Finnally, add all the areas up,
192 + 12 + 30 = 234
Which of the following is the equation of the function below?
y=2csc[2(x+pi)]-2
y=0.5sec[2(x+pi)]-4
y=0.5csc[2(x+pi)]-4
y=2csc[2(x+pi)]-2
Answers
The equation of the function shown in the graph would be [tex]y=0.5sec[2(x+\pi)]-4[/tex].
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
This is the graph of y = sec x that is shifted down 2 units and shifted to the left π/3 units.
When x=0,
[tex]y = 0.5sec[2(x+\pi)]-4\\\\y = 0.5sec[2(x+\pi/3)]-4\\\\y = 1-2\\\\y = -1[/tex]
Thus, The y-intercept is -1.
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Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answers
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
i will award brainliest HELPP
Answers
Answer:
D
Step-by-step explanation:
The sum of three whole numbers in 27. The mean of the three whole numbers is 9, and the greatest number is twice the least number.
What is the greatest number?
A. 9
B. 12
C. 18
D. 24
Answers
tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus
Answers
Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.
Step-by-step explanation:
Let adult = x
children = y
senior citizen = z
Given : Total busload (x+ y + z) = 45
Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]
Total charge on day 2 = 771 $ = [tex]20\times x+12\times y+17\times z[/tex]
Now we have 3 equations : x+ y+z =45
[tex]15\times x+8\times y+12\times z=558[/tex]
[tex]20\times x+12\times y+17\times z=771[/tex]
Solving for them we get: x= 22 , y = 12 and z= 11
Thus there are 22 adults , 12 children and 11 senior citizens.
Find the surface area of the rectangular prism with the following
dimensions:
length = 4 m
height = 3 m
width = 8 m
Answers
A = 4 x 8 x 3
A = 96