If a rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet, solve for the length.
1)17 feet
2)21 feet
3)16 feet
4)11 feet
Answer: (3)
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
An SRS of 2,500 individuals was taken from a large city to estimate the percentage of city residents with a graduate degree. 555 people in the sample had a graduate degree. The percentage of individuals in the city with a graduate degree is estimated as 22.2%. The estimated standard error is closest to:_______a. 1%b. 10% c. 0.1%
Answer:
The option is b
Step-by-step explanation:
From the question we are told that
The sample size is n = 2500
The number with a graduate degree is k = 555
The sample proportion is [tex]\^ p = 0.222[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{\^ p (1- \^ p )}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.222 (1- 0.22 )}{2500 } }[/tex]
=> [tex]SE = 0.010[/tex]
Converting to percentage
[tex]SE = 0.010 * 100[/tex]
=> [tex]SE =10\%[/tex]
Help me. Im actually so serious
Answer:
Answer in explanation
Step-by-step explanation:
Linear Modeling
It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned
Create a model in standard formLet
x = number of lawns mowed
y = number of pools cleaned
He wants to make $750, thus:
25x + 15 y = 750
Dividing by 5, we have the model that represents the linear relationship:
5x + 3y = 150
Identify the x-interceptThe x-intercept can be found by setting y=0:
5x + 3(0) = 150
5x = 150
Dividing by 5:
x = 150/5 = 30
x = 30
This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.
Identify the y-interceptThe y-intercept can be found by setting x =0:
5(0) + 3y = 150
3y = 150
y = 150/3 = 50
y = 50
This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.
Identify two combinations that are solutions to the equationStarting from the basic equation
5x + 3y = 150
We can give x some arbitrary value (less than 30) and find the value for y.
For example, for x=12
5*12 + 3y = 150
60 + 3y = 150
3y = 150 - 60 = 90
y = 90/3=30
This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.
For example, for x=21
5*21 + 3y = 150
105 + 3y = 150
3y = 150 - 105 = 45
y = 45/3=15
This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.
can I have help I would deeply appreciate it
Answer:
its blurry add my sn$p kevinscoolrevi7 and I got u
A random sample of 16 ATM transactions at the Last National Bank of Flat Rock revealed a mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes. The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is plus/minus (to three decimal places):
Answer:
The width is [tex]W = 1.2786[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The mean time is [tex]\= x = 2.8 \ minute[/tex]
The standard deviation is [tex]s = 1.2 \ minutes[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 16 - 1[/tex]
=> [tex]df = 15[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of df = 15 is
[tex]t_{\frac{\alpha }{2} , 15 } = 2.131[/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2}, 15 } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.131 * \frac{ 1.2 }{\sqrt{16} }[/tex]
=> [tex]E = 0.6393 [/tex]
Generally the width the confidence 95% confidence interval
[tex]W = 2 * E[/tex]
=> [tex]W = 2 * 0.6393[/tex]
=> [tex]W = 1.2786[/tex]
Salvatore purchased several magazines for $2 each and books for $3 each. If he spent $160 on a total of 60 books and magazines altogether, what would be the number magazines that Salvatore purchased?
Answer:
30
Step-by-step explanation:
If the magazines and books together add up to a total of 60 books, then he bought 30 magazines and 30 books.
At Baceball practice, Asher caught 16 of 20 hits to the out field. Select all of the was of expressing 16 out of 20. a. 3/5 b. 0.8 c.80% d.0.08
Answer:
16 : 20 = 0,8 = 80%
Step-by-step explanation:
pls make me a brinist
i’ll give u brainliest What is the degree measure of x?
Answer:
134 is the ONLY correct answer
Step-by-step explanation:
This is because it is asking for X, not the interior angle that's missing. You do need that angle to find the correct answer.
All triangles are equal to 180 degrees.
180-88-46=46
And all supplementary angles are equal to 180 degrees.
Therefore, 180-46 (as that is the only known angle) makes it 134 degrees.
67, 88 are not correct as one of them isn't obtuse and the other isn't to scale, 111 isn't correct as the math backs up 134 which is also an obtuse angle
.
What is the proportion
The sum of two numbers is 9. Their difference is 21
Answer:
(15, -6)
Step-by-step explanation:
x + y = 9
x - y = 21
x = 9 - y
plug in x into second equation
9 - y - y = 21
9 - 2y = 21
-2y = 12
y = -6
plug in y.
x - (-6) = 21
x + 6 = 21
x = 15
check
15 + (-6) = 9
15 - (-6) = 21
2
Solve the following: +3=19
y= 2
Answer: 128
Step-by-step explanation:
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s, how fast (in rad/s) is the angle (in radians) between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?
Answer:
Step-by-step explanation:
480 because you multipy 4 times 8 and than you mulpyy 48 times 10 and that is how i got the number 480.
Answer:
480 because you multiply 4 times 8 and then you multiply 48 times 10 and that is how I got the number 480.
Which of the following is nat a property of parallelogram
Answer:
The four angles add up to 180° is not a property of parallelogram
Nikko needs to get his air-conditioner fixed. The repairman will charge Nikko a flat fee
of $50 plus an additional $20 for each hour he needs to work on it.
Write an equation to represent Nikko's total cost to repair his air-conditioner. Use t for total
cost and h for hours.
Answer:
$70
Step-by-step explanation:
50+20=70
The required expression is given for the Nikko is t = 50 + 20h.
Given that,
The repairman will charge Nikko a flat fee of $50 plus an additional $20 for each hour he needs to work on it.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
t is the total cost the repairman charged to Nikko,
h is the number of hours,
repair men charges for h hours = $20h
repair men charge a flat fee of $50.
Total charge, t = 50 + 20h
Thus, the required expression given for the Nikko is t = 50 + 20h.
Learn more about equations here:
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#SPJ2
86 rounded to the nearest whole number
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Janelle rounded the number 87,240 to 87,000. What nearest place value was the number rounded to?
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
the town. The movie will cost the family $36, and parking costs $4 per hour.
How long will the family be able to spend in Millersville if they want to spend less than $60 and
they don't have any other expenses?
Follow the steps to answer this question.
1. Write an inequality that shows that Tyra's family spends less than their limit. Explain how you
wrote the inequality, and define any variables used.
2. Solve your inequality. Show your work. What does your solution mean?
Answer: 36+4h=60
36+4h-36=60-36
4h=24
4h÷4=24÷4
h=6
So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).
Step-by-step explanation:
Which linear equation represents the graph? Help assp
Answer:
Step-by-step explanation:
I think its c
Please help me answer this questions
Answer:
1= 6
2= 1
3= 2
4= -0.6
5= 0>2
Step-by-step explanation:
i think i am correct. the value is 0 so don't be confuse in last one
I need help with this plz bro. Plz
Answer:
I only got B
Step-by-step explanation:
Put the x-values into the equation and solve for each.
Solve the problem.
Kannanaski Rapids drops 70 ft vertically over a horizontal distance of 866 ft. What is
the slope of the rapids?
-0.001
-12.4
-70
-0.081
I need help ASAP :(
Answer:
0.081
Step-by-step explanation:
Given parameters:
Vertical drop = 70ft
Horizontal distance = 866ft
Unknown:
Slope of the rapids =?
Solution:
Slope is the rise or vertical height divide by the horizonal distance.
Slope = [tex]\frac{vertical drop}{horizontal distance}[/tex]
Insert the parameters and solve;
Slope = [tex]\frac{70}{866}[/tex] = 0.081
Based on the information given the slope of the rapids is 0.081.
Slope of the rapids:Using this formula
Slope of the rapids=Vertically rapid drop/Horizontal distance
Let plug in the formula
Slope of the rapids=70ft/866ft
Slope of the rapids=0.0808
Slope of the rapids=0.081 (Approximately)
Inconclusion the slope of the rapids is 0.081.
Learn more about slope of the rapids here:https://brainly.com/question/3493733
1. Matilde collects blankets for an animal shelter. She fills 9 boxes. There are 10 blankets in each box. How many blankets does Matilde collect for the shelter? *
1 point
A. 9 + 9 = 18 blankets
B. 9 x 10 = 90 blankets
C. 10 + 9 = 19 blankets
D. 10 x 9 = 90 blanket
Answer:
B and D
Step-by-step explanation:
9x10=90
10x9=90
On Monday, a restaurant served 54 diet sodas. This was 75% of the total number of sodas served that day. How many sodas did the restaurant serve on Monday?
The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?
Answer:
$22.95
Step-by-step explanation:
On a map, 3/4 inch represents 14 miles. If two cities are 42 miles apart, how far apart are they on the map?
Answer:
9/4 inches
Step-by-step explanation:
42 is 3x more than 14. therefore, what is 3x more than 3/4 is 9/4
Answer:
9/4
Step-by-step explanation:
14 times 3 = 42
3/4 times 3 = 2.25
2.25 in fraction form is 9/4
[tex]\frac{3}{9}[/tex] + (-[tex]\frac{6}{9\\})[/tex] explain pls
Answer:-3/9
Step-by-step explanation:
When you adding or subtracting fractions they need to have the same denominator... which in the question they do! :) after you get your denominator the same you add the second numerator from the first one, in this one it’s 3 + (-6). Oh no a negative! But don’t worry when you add a negative it’s just like subtracting a regular number, so you really are just doing 3-6 which is -3 then you just put that over the denominator you had before, and you get -3/9
Please help me thank you I’ll mark Brainly
Answer:
C should be your answer if I'm not right then forgive me please.
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
What is the exact product of 1.5 3.24
Answer:
00000
Step-by-step explanation:
poop
If f(x)=-4x+6 fins f(-3)+8
Answer:
f(x) = 26
Step-by-step explanation:
Evaluate the Function
f (x) = −4x + 6 f (−3) + 8
Replace the variable x with −3 in the expression.
f (−3) = −4 ⋅ −3 + 6
Simplify (−4 ⋅ −3 + 6) + 8
Multiply −4 by −3.
12 + 6 + 8
Add 12 and 6.
18 + 8
Add 18 and 8.
26
hope this helps :)
Last month, Mr. Littleton sold 70, 400 eggs. This month, he sold 5, 934 fewer eggs than last month. a. On paper, draw a tape diagram to represent the number of eggs sold in the two months combined. b. Use rounding to estimate the number of eggs sold in the two months combined. Enter your estimate below. c. Use the standard algorithm to find the exact number of eggs sold in the two months combined. Enter your answer below. About eggs were sold in the two months combined. Exactly eggs were sold in the two months combined.