Answer:
Width=12 inches
Length=15 inches
Step-by-step explanation:
Let's say the width is x.
Then, the length is x+3.
The area of a rectangle is the length times width, so
x(x+3)=180
x^2+3x=180
x^2+3x-180=0
After using the quadratic formula, x comes out to be 12 or -15.
x cannot be -15 because you can't have negative distance, so we are left with x=12.
The width is 12 inches and the length is 12+3=15 inches.
Check: 12*15=180
Answer:
The width is 12 and the length is 15.
Step-by-step explanation:
You set the equation as x is equal to the width and since the lenght is 3 units longer than the width, it can be seen as "x + 3"
[tex]Area=(Length)(Width)[/tex]
180= x × (x + 3)
Then from there you just solve for x.
if topic A is very sensitive, while topic B is not sensitive at all, which of the following statements is most likely true when surveying people on the two topics?
A. Topic b requires an anonymous answer form, while topic A does not.
B. Both topic A and topic B require an anonymous answer form.
C. Topic A requires an anonymous answer form, while topic B does not.
D Neither topic A nor topic B requires an anonymous answer form.
Answer:
C.
Step-by-step explanation:
Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.
With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.
Plzzzzz help for a brainly
Answer:
20cmStep-by-step explanation:
120/6=20
Answer:
20cm
Step-by-step explanation:
120/6 = 20
A teacher has a bag of marbles. There are 6 red, 6 blue, 8 green7 purple, and 8 yellow marbles in the bag. As the students enter the classroom, they draw a marble and keep it. If the first student in the room draws a yellowand the second draws a purple, what is the probability that the third student will draw a blue?
25%
18%
22%
33%
Answer:
18%
Step-by-step explanation:
Hope this helps :))
Answer:
the answer is 18%
hope this helps
An airline flying to a Midwest destination can sell 20 coach-class tickets per day at a price of $250 and ten business-class tickets per day at a price of $750. It finds that for each $10 decrease in the price of the coach ticket, it will sell four more per day, and for each $50 decrease in the business-class price, it will sell two more per day. What prices should the airline charge for the coach and business-class tickets to maximize revenue? [Hint: Let x be the number of $10 price decreases for coach tickets and y be the number of $50 price decreases for business-class tickets, and use the methods in this example and this example for each type of car.]
Solution :
Let x = number of coach class tickets sold per day on $ 10 reduced price
y = number of the business class tickets sold per day on $ 50 reduced per price.
Number of the coach class tickets sold = 20 per day at a price of $ 250
Number of the business class tickets sold = 10 per day at a price of $ 750
Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day
Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.
Therefore, the coach price, p(x) = 250 - 10x
Business class price, p(y) = 750 - 50y
Coach tickets, q(x) = 2 + 4x
Business class tickets, q(y) = 6 + 2y
Revenue R(x, y) = p(x) q(x) + q(y) q(y)
R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)
R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0
1000-40x-200-40x=0
80x = 800
x = 10
R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0
1500 - 100y+(-300-100y) = 0
200 y = 1200
y = 6
P(x) = 250 - 10(10) = $ 150
P(y) = 780-50(6) = $450
q(x) = 20 + 4(10) = 60
q(y) = 6 + 2(6) = 18
Maximum revenue = 150 x 60 + 450 x 18
= 9000 + 8100
= $ 17100
Reggie needs 24 feet of rope to make a tire swing. He has 10 yards of rope. Is this enough for him to make his swing? Explain.
Answer:
8 yards < 10 yards
He has enough.
Step-by-step explanation:
1 yard = 3 feet
y yards = 24 feet
[tex]\frac{1}{3} :\frac{y}{24}[/tex]
y · 3 = 1 · 24
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
24 feet = 8 yards
8 yards < 10 yards
Find the length of the third side. If necessary, write in simplest radical form.
3√5
Answer:
3
Step-by-step explanation:
We can use the Pythagorean thorem to solve this question
leg = [tex]\sqrt{hypotenuse^2 - leg^2} = \sqrt{(3\sqrt{5})^2 - 6^2} = \sqrt{45 -36} = \sqrt{9} = 3[/tex]
You take out a simple interest loan with a principal of $1500. Your interest rate is
5.6% and your loan term is 4 years.
What is the total interest you will pay?
What is the total you will pay including your principal and interest?
Answer: See explanation
Step-by-step explanation:
Interest = Principal × Rate × Time
Interest = $1500 × 5.6% × 4
= $1500 × 0.056 × 4
= $336
The total amount that will be paid will be:
= Principal + Interest
= $1500 + $336
= $1836
Julie has 21 colored pencils and 27 crayons. What is the ratio of crayons to colored pencils?
9:7 is the ratio of crayons to colored pencils.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
The ratio of crayons to colored pencils can be found by dividing the number of crayons by the number of colored pencils:
The ratio of crayons to colored pencils = 27/21
Simplifying this ratio by dividing both the numerator and denominator by 3, we get:
The ratio of crayons to colored pencils = 9/7
Therefore, the ratio of crayons to colored pencils is 9:7.
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Please help faster please
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter find their present age.
help me
with explanation !!!
Answer:
Their present ages are:
Her daughter's age = 12 years Women's age = 36 yearsStep-by-step explanation:
Given that:
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter.To Find:
Their present ages.Let us assume:
Her daughter age be x. Women's age = 3xAfter 12 years:
Her daughter's age = x + 12Women's age = 3x + 12Finding their present ages:
According to the question.
⇒ 3x + 12 = 2(x + 12)
⇒ 3x + 12 = 2x + 24
⇒ 3x - 2x = 24 - 12
⇒ x = 12
Their present ages:
Her daughter's age = x = 12 years Women's age = 3x = (3 × 12) = 36 yearsDoes anyone know why I can't access or see the homepage for this website?
It hasn't loaded in 20 minutes and my internet connection is fine.
Find the exact circumference of a circle with the given radius.
7 feet
C=
O 771 ft.
1471 ft.
02771 ft.
Answer:
43.98
Step-by-step explanation:
i was doing a problem like that on my math paper as well
Domain and range
What is the Domain and Range of the Relation
y = -5
Answer:
D: {all reals}
R: {-5}
Step-by-step explanation:
How so i slove 9z-63=0
Choose all of the zeros of the function f(x) = 2x² + 5x – 3.
-3, -0.5, 0.5, 1, 3 << those are the answer choices.
Answer:
-3. and -0.5
Step-by-step explanation:
i hope that helps
What is the sum? Complete the equation.
-15 + (-15)
Answer:
-30
Hope this helps!
Select the correct answer from each drop-down menu
The table shows the number of books Lucy borrowed from the library each month for a year
Month Number of Books
Month
Number of Books
January
14
6
February
8
July
August
September
19
March
16
12
April
14
October
May
8
November
7
June
7
December
Lucy bomowed the most books in
There were months in which she borowed fewer than 10 books
Answer:
6 Months where she borrowed less than 10,
and he borrowed the most books in August.
Step-by-step explanation:
the difference of four times a number and 23 is 5 less than the number. Find the number
Answer:
I think it could be 28 because 28 minis 5 is 23
will the area be the same or different?
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y = (4/7)x + 3
Step-by-step explanation:
rise = 7 - 3 = 4
run = 7 - 0 = 7
slope = rise/run = 4/7
y-intercept = 3
---------------------
Slope intercept form is
y = mx + b
m is the slope = 4/7
b is the y-intercept = 3
the equation is
y = (4/7)x + 3
help me please i need a lot of help
Answer: 3 or 9/12
Step-by-step explanation:
3/4 to 0.75
0.75 * 4 = 3
The admission fee at a small fair is $2.00 for children and $4.00 for adults on a certain day 30 people enter the fair and $100 is collected collected how many children and how many adults attended and justify higher and how you know your response make sure to label your variables and state your solution in a complete sentence
Answer:
20 adults and 10 children
Step-by-step explanation:
We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.
Answer:
10 children 20 adults
Step-by-step explanation:
children = c
adult = 2c (double than children)
2(c) + 4(2c) = 100
10c = 100
c = 10 10 children
30-10 = 20 20 adults
$2(10) = $20
$4(20) = $80
$20+$80 = $100
Mr. Lauro decided to give a bonus point to the top 25% of students, a
remedial instruction to the bottom 25% of students and a chance for extra credit
to the middle 50% students.
1. Compute the median, lower quartile and upper quartile.
2. How many students will get bonus point that belong to the top 25%?
And who are those students?
3. Who are those students having a chance for extra credit?
4. How many students need to attend the remediation? Who are those
students?
please help po
wag po sana gawing tanga yung sagot
Answer:
Q1 = 23 ; median = 28 ; Q3 = 36
TOP 25% = 3 students (Pauleen ; Vic and Tito).
Extra credit students : (students whose score range between 23 and 36. (score of 23 is not included).
Remediation = 4 students (Pia, Joey, Ryan and Allan
Step-by-step explanation:
Given the scores :
35, 23, 42, 36,36,27,42,28,35,18,42,25,27,18,20
Ordering the scores in ascending order :
18, 18, 20, 23, 25, 27, 27, 28, 35, 35, 36, 36, 42, 42, 42
The lower quartile :
Q1 = 1/4 * (n+1)th term
Q1 = 1/4 * 16 = 4th term
Q1 = 23
The median :
Q2 = 1/2 * (n+1)th term
Q2 = 1/2 * 16 = 8th term
Q2 = 28
The upper quartile :
Q3 = 3/4 * (n+1)th term
Q3 = 3/4 * 16 = 12th term
Q3 = 36
The top 25% refers to the student who scored beyond the 75 percentile score :
Number of students = (15th - 12th) = 3 students students who scored 42
Pauleen ; Vic and Tito.
The middle 50% gets extra credit : This is the interquartile range :
This are the students whose score range between 23 and 36. (score of 23 is not included)
Students who have to attend the remedial class are those in the lower quartile, student with score of 23 and below.
4 students and they are : Pia, Joey, Ryan and Allan
Aysha got a dress that was on 20% off of the original price of $25.40. How much did she get the dress for?
Answer:
20.32$
Step-by-step explanation:
25.40×.20 = 5.08
25.40- 5.08 = 20.32
so the answer would be 20.32$
Order the numbers from least to greatest 41/50, 0.83, 80%
Answer:
80%, 41/50, 0.83
Step-by-step explanation:
80% = 0.80
41/50 = 0.82
0.83 = 0.83
Which series is convergent? Check all that apply.
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 2 n Over n + 1 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction n squared minus 1 Over n minus 2 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts (one-fifth) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts 3 (StartFraction 1 Over 10 EndFraction) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 1 Over 10 EndFraction (3) Superscript n
There are 2 correct answers
Answer:
Step-by-step explanation:
c
THIS IS DUE IN LIKE 5 MINUTES I WILL GIVE YOU BRAIN THING IF ITS CORRECT PLEASE HELP NO LINKS THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT
Answer: A
Step-by-step explanation:
Answer:
a.30
b.12
i cant figure out the rest i am so sry im
trying to figure it out tho
is 12:8 and 18:12 equivalent?
Answer:
no
Step-by-step explanation:
18 is not a multiple of 12
and 12 is not a multiple of 8
Using the extreme value theorem, what are the
minimum and maximum values of f(x)?
O minimum value = 1; maximum value = 6
O minimum value = 2; maximum value = 6
minimum value = -1; maximum value = 3
O minimum value = -2: maximum value = 3
Answer:
A
Step-by-step explanation:
Edge
The option A, O minimum value = 1; maximum value = 6 is correct.
We have given that,
Using the extreme value theorem, what are the minimum and maximum values of f(x).
What is the extreme value theorem?Extreme Value Theorem An important application of critical points is in determining possible maximum and minimum values of a function on certain intervals.
Therefore, The option A, O minimum value = 1; maximum value = 6 is correct.
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Help with #9 pleaseeee
Answer:
9' - 1.29"
Step-by-step explanation:
Total rise = 5' - 2"
Total run = 7' - 6"
1' = 12" = 1 feet = 12 inches
5' = 5 * 12 = 60"
3' = 7 * 12 = 84"
Total rise = 60" + 72" = 62"
Total run = 84" + 6" = 90"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(62² + 90²)
Hypotenus = 109.28860"
Convwrting back to feet and inches
= 9' - 1.29"