Answers
Answer:
The area is 243 square feet
Step-by-step explanation:
The perimeter of a rectangle is the sum of all four sides.
Two of the sides represent the length and two represent the width.
Given what we know and using l to represent the length and w to represent the width.
l + l + w + w = 72ft
or more concisely
2l + 2w = 72ft
The four sides all add together to equal 72ft
We also know that
l = 3w
This says the length is equal to 3 times the width
we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.
The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us
2(3w) + 2w = 72ft
2 times 3w is 6w
6w + 2w = 72ft
6w plus 2w is 8w
8w = 72ft
Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides
8w / 8 = 72ft / 8
8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft
w = 9ft
So now we know the width is 9ft
if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w
l = 3(9ft)
3 times 9 is 27 so
l = 27ft
So the length is 27ft which is 3 times the width of 9ft
The area of a rectangle is length times width or l x w, so
area = 27ft x 9ft
area = 243sqft
ft means feet and sqft means square feet
Related Questions
WILL GIVE BRAINLIEST!
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5? (5 points)
A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm.
Group of answer choices
Perimeter = 54 cm, area = 181.25 cm2
Perimeter = 54 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 181.25 cm2
Answers
Answer:
Perimeter 182 cm, area= 2,028 cm2
Step-by-step explanation:
The perimeter of the given rectangle is
2(6 cm + 8 cm) = 28 cm
The area of the given rectangle is
(6 cm)*(8 cm) = 48 cm^2
The larger rectangle will have a perimeter of
6.5*28 cm = 182 cm
The larger rectangle will have an area of
6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area
The appropriate choice is the 3rd one, ...
Perimeter = 182 cm, area = 2,028 cm^2
Answer: Perimeter = 182 cm, area = 2,028 cm2 3rd one
Step-by-step explanation:
Simplify: 10 divided by 1/4
1) 40
2) 1/40
3) 2 and 1/2
4) 20
Answers
Answer:
1
Step-by-step explanation:
10*4=40
so 1
A table is 2 feet wide it is 6 times as long it is wide
Answers
Answer:
Length = 12 feet
Perimeter = 28 feet
Area = 24ft²
Step-by-step explanation:
You didn't ask a question so I don't know what the answer you want is so I assumed it was related to one of the answers shown above.
To calculate the length, you simply do 6*2
which is equal to 12.
The length is 12 feet.
However, if you want to find the perimeter:
12 + 12 + 2+ 2 = 28ft
If you wanted to find the area:
12*2 = 24ft²
I hope this helps!
Select the equation that contains the point (4,7) and in which the slope equals 1
Answers
Answer:
y-7=x-4
Step-by-step explanation:
If you change the equation to y=mx+b yout would get Y=x+3 plug in the point (4,7) and you would get 7=4+3
7=7 so that is correct.
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.
The answers are:
A. Side a is 19 inches long and side b is 16 inches long.
B. Side a is 8.5 inches long and side is 7 inches long.
C. Side a is 15 inches long and side b is 12 inches long.
D. Side a is 34 inches long and side b is 28 inches long.
Answers
Our department store is having a sale on personal computers, of which three are in stock (no rain checks). There is a certain probability of selling none. The probability of selling one is twice as great as the probability of selling none. The probability of selling two is three times the probability of selling none. Finally, the probability of selling all the personal computers is four times as great as the probability of selling none. Finally, the probability of selling all the personal computers is four times as great the probability of selling none. In a table list the outcomes and their probabilities.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Let the possibility including its sale will be x
Purchases possibility for [tex]1=2x[/tex]
Purchases possibility for [tex]2=3x[/tex]
Purchases possibility for [tex]3= 4x[/tex]
Calculating the total possibility [tex]=x+2x+3x+4x=10x[/tex]
The total possibility within the framework of the sample=1
[tex]\to 10x =1\\\\\to x = \frac{1}{10}\\\\\to x = 0.1 \\\\[/tex]
[tex]Outcome \ \ \ \ \ \ \ \ \ \ Probability\\\\0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.1\\\\1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.2\\\\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.3\\\\3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4\\[/tex]
Juan read 15 books in 9 months. How many books did he read in 24 months? And how many months did it take him to read 5 books?
Answers
Answer:
40 books and 3 months
Step-by-step explanation:
b= books
15b=9months
1 month =15/9=5/3
24 months =24×5/3
24 months =8×5=40 books
1b=9/15
1b=3/5
5b =3/5×5
5b=3
it would take him 3 months to read 5 books
The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Sunday nights. As part of the investigation, they select a random
sample of police calls from Friday nights and a random sample of police calls from Sunday nights. From both samples, they record the sample proportion of calls that involved minor traffic
accidents. Let Pp represent the proportion of all Friday night calls, and let Ps represent the proportion of all Sunday night calls. Which of the following are the correct hypotheses for the
investigation
Answers
Answer:
D:
Null: Pf = Ps
Alternative: Pf > Ps
Step-by-step explanation:
Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.The null and alternate hypothesis for the given question is,
[tex]H_0:P_f=P_s[/tex]
[tex]H_a:P_f>P_s[/tex]
Hence the option D is the correct option.
Given-[tex]P_p[/tex] represent the proportion of all Friday night calls.
[tex]P_s[/tex] represent the proportion of all Sunday night calls.
What is hypothesis?Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.
As part of investigation the police taken the random sample of the Friday night and the Saturday night phone calls.
Null hypothesis [tex](H_0)[/tex] states that the parameter of two proportion are are equal to the hypothesis value. If the proportion of all Friday night calls and proportion of all Sunday night calls is equal. Then the Null hypothesis for the investigation is,
[tex]H_0:P_f=P_s[/tex]
The alternate hypothesis states that the population parameter is smaller greater or must be different than the hypothesis value.The alternate hypothesis for the given question,
[tex]H_a:P_f>P_s[/tex]
Thus the null and alternate hypothesis for the given quyestion is,
[tex]H_0:P_f=P_s[/tex]
[tex]H_a:P_f>P_s[/tex]
Hence the option D is the correct option.
Learn more about the hypothesis here;
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For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6! = 6*5*4*3*2*1.) What value of n satisfies the following equation?
5! X 9! = 12! x N
Answers
Answer:
The value of N that satisfies the equation is [tex]\frac{1}{11}[/tex]
Step-by-step explanation:
First we open the factorial of 12, to simplify the expression:
12! = 12*11*10*9!
So
5!*9! = 12!*N
5!*9! = 12*11*10*9!N
12*11*10N = 5!
Now we open the factorial of 5. So
12*11*10*N = 5*4*3*2*1
Since 5*2 = 10, 4*3 = 12, we have that:
12*11*10*N = 10*12*1
Now, simplifying by 10*12
11N = 1
[tex]N = \frac{1}{11}[/tex]
This is the value of N that satisfies the equation
30% of ________ peaches is 6 peaches. * how do you get this
Answers
Answer:
20
Step-by-step explanation:
30% of 'something' equals 6.
Translated into math, that is
(.30)N = 6
N = 6/0.30
N = 20
5 x + 2 = 22
What is
Answers
Answer:
Step-by-step explanation:
5x + 2 = 22
Bringing like terms on one side
5x = 22 - 2
5x = 20
x = 20/5 = 4
Median of 149 111 171 166 152 129 162 144
Answers
Answer:
150.5
Step-by-step explanation:
order the numbers lowest-highest:
111, 129, 144, 149, 152, 162, 166, 171
find the number exactly in the middle of the sequence
Answer:
150.5 is the answer
Step-by-step explanation:
You put them in order of smallest to largest
111,129,144,149,152,162,166, 171
Then you pick the middle one
150.5
Factor the expression -18y-27
Answers
Answer:
-9(2y+3) Tip: Download photo math lol : )
50% off on a $300 skateboard! There was a 6% tax. What is the new Total for the skateboard?
Answers
Answer:
$159
Step-by-step explanation:
Answer:
$159
Step-by-step explanation:
300 decrease 50% =
300 × (1 - 50%) = 300 × (1 - 0.5) = 150
150 increase 6% =
150 × (1 + 6%) = 150 × (1 + 0.06) = 159
Jenny sold 3 pitchers of lemonade on Saturday morning. That afternoon, she sold 1/3 as much as she did in that morning. How many pitchers of lemonade did Jenny sell on Saturday afternoon?
Answers
Answer:
She sold 1 pitcher.
Step-by-step explanation:
1/3 of 3 is one
ax + b2 = cx + d2
????
Answers
Answer:
x=b^2+d^2/a-c
Step-by-step explanation:
Ground beef is on sale for $3.05 per pound. Gretel buys 80 ounces of ground beef. How much does she owe the butcher?
Answers
Answer:
15.25
convert to ounces- 80 ounces equals 5 pounds
multiply by the unit price-5*3.05
get the answer- 15.25
Answer:
Step-by-step explanation:
(3.05/lb)(80oz)(lb/16oz)=$15.25
Fourteen less than three times a number is fifty-two.
Answers
Answer:
3x −14 = 52
Good luck have a good day! Took me a minute to figure out the question, but here you go!
The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it is known that parabola opens upward.
Answers
Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: [tex]A_{t}=\frac{b.h}{2}[/tex].
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
[tex]10=\frac{5.a}{2}[/tex]
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
Answer: a = 2/3
Step-by-step explanation:
y-intercept: y=a(2)(-3) = -6a
x-intercepts: (-2,0) , (3,0)
height = -6a
base = 5
Area = 10 = 0.5 x 5 x -6a
10 = -15 a
a = -2/3
BUT a>0 since it opens upwards, so:
a = 2/3
this is kirtys recipe for breakfast cereal 50 grams of oats 30 grams of raisins 40 grams of nuts if she uses 125 grams of oats, how many grams of
raisins does she need
Answers
What number do you multiply to find this partial product 8×56
Answers
Answer: 8*56 is 448
you could also multiply 2⁶ x 7 to get 448
The number that you can multiply to find this partial product 8×56 is 8 and (50+6).
What is the partial product?The partial product method involves multiplying each digit of one integer by each digit of another, while each digit retains its position. For example, 23 x 42 becomes (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).
The number that you can multiply to find this partial product is,
8×(50+6)
= (8×50) + (8×6)
= 400 + 48
= 448
Hence, the number that you can multiply to find this partial product 8×56 is 8 and (50+6).
Learn more about the Partial Product:
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A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 46 miles an hour for 24 hours. At the end of the 24 hours, how far has the car traveled
Answers
46*24=1104
1 The number of guests, g, coming for dinner is not 8
2 the distance of the race d is at least 6 miles
what is the inequality for each of the solutions
Answers
Answer:
1. g < 8
2. d ≤ 6
In trapezul ABCD, AC apartine BD = {O}, BD = 35 cm, iar CO/OA=3/4. Calculati lungimile segmentelor OA si OB
Answers
Answer:
We have been attempting to reach you about your car's extended warranty.
Step-by-step explanation:
2. Jimmy is rolling a 1-6 number cube. Which statement is true? A Jimmy is equally likely to roll a 5 as an even number. B. Jimmy is equally likely to roll a 1 as an odd number. C Jimmy is more likely to roll a 6 than a 1. D Jimmy is equally likely to roll an even number as an odd number.
Answers
Answer:
It's D because I hope it helps pls like
Answer:
D Jimmy is equally likely to roll an even number as an odd number
Write the rate as a fraction in lowest terms.
22 cups for 6 people
Answers
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
6/22 = 3/11
11/3
11/3 is the lowest term
Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her brother according to three independent Poisson processes. Her mother texts Matilda on average once every hour. Her best friend sends a message once every 10 minutes, and she receives messages from her brother every 30 minutes.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Answers
Answer:
a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
Two from the best friend:
Her best friend sends a message once every 10 minutes.
From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]
Two messages is P(X = 2). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]
Two from the mother:
Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]
Two of her best friend and two of her mother:
Independent events, so the probability of both happening is the multiplication of their separate probabilities.
[tex]p = 0.005*0.251 = 0.0013[/tex]
0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
In 3 hours, she is expected to receive:
3*60/10 = 18 messages from her best friend.
3*60/60 = 3 messages from her mother.
3*60/30 = 6 messages from her brother.
In total, 27 messages.
75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]
[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
PLEASE HELP! PLEASE ALSO GIVE A GOOD EXPLANATION AND SHOW WORK! 45 points!!
Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint.
Select ALL of the true statements.
1. Painting 1/2 of Dalia's room requires 10 cans of paint.
2. Each can of paint will cover 1/20 of Dalia's room.
3. 3 cans of paint will cover 60% of Dalia's room.
4. Dalia's entire room requires 20 cans of paint.
5. Dalia's entire room requires 5 cans of paint.
Answers
Hence statement 3 and 5 are true from the equation given in question.
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Number of cans used 1/10 part of room = 1/2
No. of cans paints used 1 part = 1/2 / 1/10 = 5
∵ 1/2 can paint is used = 1/10
∴ 1 can paint used = (1/10)*2 = 1/5
∴ 5 cans = 100%
3 cans used = (3/5)*100 = 60%
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What is the perimeter of the L-shape?
Answers
Answer:
There isn't anything i can do when there isn't even a graph or a picture showing what it even looks like so I can't help you maybe re-post it with a picture then i can help.
50 POINTS AND BRAINLIEST
I need to know the steps for solving this. I know the answer is no solution but i don't understand the steps. Please help!!!
Answers
1/1+z+4/z+z^2 +1
1/2z =4/2z^2 +1
1/2z=2(z^2+2)/2z^2
1/2z=z^4+2z^2
z^5/2+2z^2
=therefore it has no solution I think this is the stes i m not sure sorry i m not sure ,try asking somebody else to cuz i m not sure