The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?
A. X+3
B. x-3
c. x+4
D.X-2
Answers
Answer:
Option A. x + 3
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
The area of a rectangle is given by:
Area (A) = length (L) × Width (W)
A = L × W
With the above formula, we can obtain the lenght of the rectangle as follow:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
A = L × W
(x² + 2x – 3) = L(x – 1)
Divide both side by (x – 1)
L = (x² + 2x – 3) / (x – 1)
Please see attached photo for explanation
L = x + 3
Thus, the length of the rectangle is x + 3
Related Questions
In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that knowing that a person is in college means they are more likely to drive. Is Micah’s conclusion correct? Explain.
Answers
Answer:
No.
Step-by-step explanation:
#1, the sample size is not indicative of a proper high school population, unless of all there is a small amount of students in the high school (or even only 30 students in it). On a individual basis, it can vary widely, and so data analysis such as this is not correct. The data size is skewed as well for the college, especially as college campuses typically house more students then usual. To only ask 60 college students also skew the data gotten. Another sample error may be locational error, in which the location of the schools may warrant the need for a driver license, or if it is not needed, as well as the distance of the student's house and/or where needed facilities are to accommodate a student's needs and desires.
If we were to set all these problems aside and focus more on the question, 15 high school students said they could drive, and 15 said they could not, which makes the sample size of 30 high school students in all. 15 say they can drive, therefore:
15/30 = 1/2, or there is a 50% chance of obtaining a student that can drive.
On the other hand, out of 60 college students surveyed, 30 said they can drive, therefore:
30/60 = 1/2, or there is a 50% chance of obtaining a student that can drive.
∴ Micah's prediction is incorrect in obtaining a college student that can drive more easily then obtaining one that can drive in a high school.
However, remember that too small of a data size can lead to a heavy skew, and it will not represent reality as well.
~
Answer:
Sample Response: No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.
Step-by-step explanation:
Got this from Edg 2021
You are taking a survey on your experience at Taco Bell. For the first three questions you can
answer Below Average, Average, or Above Average for each question. The last five questions
you can respond with either Agree or Disagree. How many total outcomes are there for this
survey? *
Answers
9 for the first 3 questions
10 for the last 5 questions
Hope this helps ;)
The total outcomes for this survey are 864.
What are the outcomes of the set?An elementary event is one with only one possible consequence. The sample space of an experiment is the event that contains all feasible results. A single consequence may appear in a variety of circumstances.
Given, You are responding to a poll about Taco Bell. You can select Below Average, Average, or Above Average for each of the first three questions. You may choose to agree or disagree with the past five questions.
Here, we utilize the combinations formula to determine how many outcomes there are in this survey.
Three questions have three options, while five questions have two.
Hence,
total outcomes = 3³ * 2⁵ = 27 * 32 = 864
Therefore, There are 864 total responses to this survey.
Learn more about the outcomes of the set here:
https://brainly.com/question/28353187
#SPJ2
Which of the following is the equation of the line in slope-intercept form that has a slope of -2 and
passes through the coordinate (4, 1)?
A) y = –2x - 7
B) y -1 = -2(x - 4)
C) y = -2x + 9
D) y = -2x
Answers
Answer:
c). y = -2x + 9
Step-by-step explanation:
y = -2x + b
1 = -2(4) + b
1 = -8 + b
9 = b
The figure shown is composed of a right rectangular prism attached to a right triangular
prism. The surface area of the figure is 130 cm?
What is the value of n, in centimeters?
n cm
4 cm
2 cm
Use the number pad to enter your answer in the box.
5 cm
cm
5 cm
4 cm
Answers
9514 1404 393
Answer:
n cm = 3 cm
Step-by-step explanation:
The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.
The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...
A = lw + 1/2bh
A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²
The lateral area is the product of the perimeter of the base and the depth of the prism.
A = Ph
A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²
The total surface area is the sum of the areas of the two bases and the lateral area:
130 cm² = 2(6 +5n) cm² +(64 +8n) cm²
130 = 76 +18n . . . . . . divide by cm², collect terms
54 = 18n . . . . . . . . . subtract 76
3 = n . . . . . . . . . . divide by 3
The value of n in centimeters is 3 cm.
Help pls and thank uu
Answers
Answer:
f(- 4) = - 4
Step-by-step explanation:
f(- 4) with x = - 4 gives f(- 4) = - 4
Find x round your answer to the nearest tenth of a degree PLZ HELP ASAP BRAINLIEST!!!!!!!
Answers
Answer:
45.9˚
Step-by-step explanation:
use trig formulas
23 and 16 correspond to the hyp and adj sides to angle x.
adj/hyp is cos so use the cos formula.
cos x = 16/23
arccos --> inverse cos
x = arccos(16/23)
put it in a calculatior and round to nearest 10th.
45.92079....
= 45.9˚
Answer:
Step-by-step explanation:
2+2+2+2-2×2-2+2=? . (16-14-12-24)
Answers
Answer:
12 I think
I'm not sure
Byeee
the sixth graders rasied money to fund a feild trip. the five classes raised $42, $51, $38, $49, and $40. what is the median on the ammount of money raised?
a. $36
b. $42
c. $40
d. $13
Answers
Explanation: it is the number between 51 and 49
Answer:
The median is $42, or B.
Step-by-step explanation:
Our numbers are :
42, 51, 38, 49, and 40.
The first step to finding the median is ordering the numbers from least to greatest.
38, 40, 42, 49, 51.
Now we find the number perfectly in the middle - that's 42, between 49 and 40. The median is $42, or B.
Please mark brainliest!
. A study was conducted to evaluate the relationship between artificial sweeteners and bladder cancer. 3,000 cases and 3,000 controls were enrolled in the study. Among the cases, 1293 had used artificial sweeteners in the past, while 1707 had never used artificial sweeteners. Of the controls, 855 had used sweeteners and 2145 had not. a. What is the exposure and what is the disease
Answers
Answer:
Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.
The disease is bladder cancer.
Explanation:
Calculate odds for exposed group =
1293 with bladder cancer had used artificial sweeteners in the past/
855 without bladder cancer had used sweeteners= 1.51
Calculate odds for not exposed group=
1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795
Odds ratio=odds for exposed group/odds for not exposed group
= 1.51/0.795
= 1.899
Therefore exposed group has two times the odds of bladder cancer than not exposed group.
help help help help help
Answers
Answer:
x = 4.4
Step-by-step explanation:
cos theta = adjacent side / hypotenuse
cos 24 = y/x
cos 24 = 4/x
x cos 24 = 4
x = 4/cos 24
x =4.378545114
Rounding to 1 decimal place
x = 4.4
Answer:
x=4.4cm
Step-by-step explanation:
We can use cosine to find x as we're given y (adjacent) and the angle. This is also a right triangle.
cos24=4/x
x=4/cos24
x=4.4
if the needle below is spun twice and the letters are recorded both times , which of the following would be the probability it would land on letters A and C (in either order)?
(1) 1/3
(2)2/3
(3)2/9
(4)5/6|
Answers
5.0×10
1
1.50×10
5
= ?
help please last day of school
Answers
Answer:
5.0x10=50
1.50x10=15
Step-by-step explanation:
calculator
Rectangle, Square, or Rhombus?
Answers
Answer:
maybe rhombus
Step-by-step explanation:
don't take my word for it
Answer:
I think Rhombus. I am not so sure.
Step-by-step explanation:
Have a nice day! :-)
There are 5 red marbles, 15 blue marbles,
reach in and randomly draw two marbles without replacing the first, what is the
probability that both will be blue?
Answers
Answer:
Probability is 0.552, or about 55%
Step-by-step explanation:
first there are 20 marbles in total: odds are 15/20 = 3/4
Then, there are 19 marbles in total : odds are 14/19
So the odds of both of them being blue are: 3/4 * 14/19 = 0.552 (rounded to the thousandths place)
Please give brainliest thanks!
What is the equation of the line that passes through point (3, −1) and has a slope of 2?
Answers
Answer:
equation y = 3x + b.
Step-by-step explanation:
To come up with the equation of a line in slope intercept form, we need the slope and the y-intercept. First, substitute the given slope in for m. We get the equation y = 3x + b.
can someone PLEASE help me with this!?! its due tonight
explaining your answer = brainliest
what is the perimeter of the square?
Answers
Answer:
24
Step-by-step explanation:
6*4
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each
student, one at a time, for 7 of an hour, how many students does she tutor?
3
Answers
Answer:
Lauren tutors 42 students in total
Step-by-step explanation:
She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42
Hope it helps:)
HELP ME NEED HELP NOW
Answers
Answer:
the product X Y is constant so the relationship is not an inverse variation.
Step-by-step explanation:
I need help for this math question ASAP
A line segment joins points P(–1, –7) and Q(7, 3). Determine the length of PQ to 1 decimal place.
Answers
A hula hoop is 113 inches around. What is its diameter to the nearest inch?
HURRY PLEASE
Answers
Answer:
35.97
Step-by-step explanation:
113 divided by pie (3.14)
Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml
Answers
Answer:
volume left in A is 80ml
Step-by-step explanation:
let original volume in both be x ml
after pouring from A to B
vol in A = x - 120
vol in B = x + 120
now it is given that
vol in B = 4 times vol in A
implies
[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]
hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml
How many times does
1/8 go into 1/4
Answers
Answer:
One eighth is one part of eight equal sections. Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half
an article cost $1424 it may be purchased by depositing $560 and making monthly payment of 48 how many monthly are required to complete payment?
Answers
Answer:
18 monthly payments are required to complete payment
Step-by-step explanation:
We start with our $1,424.
Then subtract $560 from the original number above.
Leaving us with $864.
We then divide the $864 by $48 and we end up with 18.
So our answer is 18 monthly payments are required to complete payment.
Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces. Part A Which can holds the most tomato juice? Enter red, blue, or yellow in the answer box.
Answers
Answer:
Red can
Step-by-step explanation:
Tonato juice come in different sizes
The red can contains 6 cups
The blue can contains 2 pints
The yellow can contains 32 fluid ounces
Therefore the can that holds the highest juice is the red can with 6 cups if tomato juice
Suzie bought 17.75 lbs of flour. If the price for 1lb is $19.68, calculate the total amount she paid to the shopkeeper
Answers
( excluding the .75)
17 x 19.68 = $334.56
.75 = 3/4
19.68 / 4 = $4.92
($4.92 for every quarter of a pound)
4.92 x 3 = $14.76 ( .75 = 3/4)
334.56 + 14.76 = $349.32
CHECK
17.75 x 4 = 71 ( Figure out how many fourths make 17.75)
71 x 4.92 = $349.32
She paid the shopkeeper $349.32
Can someone help I’m confused
Answers
Answer:
D and E
Step-by-step explanation:
Let's double check:
D. 9 ÷ 3 = 3
E. 4 × 9 = 36
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:
the answers would be A, D, and E
Step-by-step explanation:
just replace the Cs with the number 9 and solve from there.
for example c/3=3 would say 9/3=3
Use the quadratic formula to solve the equation.
8x2−17x+7=0
Enter your answers, in simplified radical form, in the boxes.
x =
or x =
Answers
Answer:
just took the test
1st root= x1 =(17+√65)/16
2nd root =x2 =(17-√65)/16
What is Quadratic Equation?A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown and a, b , and c represent known numbers , where a should not be equal to 0.
D = b^2 - 4 * a *c
D = (-17)^2 - (4)(8)(7)
D= 65 >0
There will be two solutions exist in this condition
1st root : (-b+√D)/2a
=(-(-17)+√65)/2*8)
1st root= x1 = (17+√65)/16
2nd root : (-b-√D)/2a
= (-(-17)-√65)/2*8)
2nd root = x2 = (17-√65)/16
Learn more about quadratic equation :
https://brainly.com/question/11866215?referrer=searchResults
#SPJ
Pls help right now for 30 points
Answers
Use the edges of the triangles to determine which ones are closest together for the smallest of furthest apart for the largest.
1. Smallest = b
Largest = c
2. Smallest = f
Largest = g
factorize 3x(j-f) -4(f-j)
Answers
9514 1404 393
Answer:
(3x +4)(j -f)
Step-by-step explanation:
3x(j -f) -4(f -j) = 3x(j -f) +4(-f +j) . . . . distribute the minus sign in -4(f-j)
= 3x(j -f) +4(j -f)
= (3x +4)(j -f)
find the percent increase is admission to the amusement park is raised from $70 to $80.
Answers
Answer:
14.286% increase
Step-by-step explanation:
Since the admission to the amusement park increased by $10 we need to find what percentage of $70 equals $10.
We can find this percentage by multiplying 10 (the difference in money) by 100 (a hundred percent), and dividing that by 70 (the initial cost)
[tex]10*100/70=14.286[/tex]