Answer:
[tex]\dfrac{3}{2}[/tex]
Step-by-step explanation:
We are given 2 fractions.
1st fraction is Negative StartFraction 3 over 8
i.e.
[tex]-\dfrac{3}{8}[/tex]
2nd fraction is negative one-fourth
i.e.
[tex]-\dfrac{1}{4}[/tex]
We have to find the quotient when 1st fraction is divided by 2nd fraction.
Definition of quotient is given as:
Quotient is the result obtained when one number is divided by other number.
[tex]-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}[/tex]
[tex]\div[/tex] is converted to [tex]\times[/tex] and the 2nd fraction is reversed i.e.
if the fraction is [tex]\frac{p}{q}[/tex] it becomes [tex]\frac{q}{p}[/tex] and the sign [tex]\div[/tex] is changed to [tex]\times[/tex].
Solving above:
[tex]-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}[/tex]
So, the quotient is [tex]\frac{3}{2}[/tex].
What is an equation of the line that passes through the point (4, 5) and is parallel to the line whose equation is y= 2/3x-4?
Answer:
y=2/3x +7/3
2/3(4)+7/3=5
What’s the correct answer for this?
Answer:
1/4
Step-by-step explanation:
Let's denote the probabilities as following:
Probability that a teenager has a sister:
P(A) = 12/28
Probability that a teenager has a brother:
P(B) = 7/28
Probability that a teenager has both a sister and a brother:
P(A⋂B) = 3/28
Probability that a selected teenager has a sister also has a brother, or in other words, he/she has a brother, given he/she had a sister:
P(B|A)
Let's apply the formula of conditional probability to work out P(B|A)
P(B|A) = P(A⋂B)/P(A) = (3/28)/(12/28) = (3*28)/(12*28) = 3/12 = 1/4
=> Option C is correct
Hope this helps!
the label on marc’s yogurt said that one serving provided 10 grams of fiber, which is 50% of the recommended daily amount. what is the total recommended daily amount of fiber?
Answer:
20 grams
Step-by-step explanation:
10 grams is 50%. 50% x 2= 100%. so you do 50/100=10/20, and you will get 2. Apply that to the 10, 10 x 2=20.
What are the best data structures to create the following items? And why? Designing a Card Game with 52 cards. Online shopping cart (Amazon, eBay, Walmart, Cosco, Safeway, ...) Online waiting list (De Anza College class waiting list, ...) Online Tickets (Flight tickets, concert tickets, ...)
Answer:
The best data structure in storing card is an array.
The best choice for a shopping cart is hash-maps. the advantage of harsh mark is that they are dynamic in nature.
Waiting lists are managed by a method called the First In First Out. when an individual is waiting for too long, he or she should be given the first chance for service.
Sorted links are a better options for storing tickets.
Step-by-step explanation:
Solution
In other to store the cards the best structure to be applied here is an array.
Now, we are aware the array size, which comprises of 52 items, and hence card vales can be easily stored For standard 52-deck cards, a 2D array of size 4x15 can also be applied, with 4 being color count, and 13 being card in each color.
In this example, the better option for shopping cart is hash-maps, because it is dynamic in nature for instance, when items are removed and more often, and also, there is a need for mapping of item ID or name to its actual database, so these values can be kept or stored as key-value pairs.
Waiting lists are normal managed in a way of First In First Out, since a person is waiting longer should be given the first chance for service. this FIFO method is best used by a Queue. so this online waiting list can best be used by a queue.
For tickets storing, a better option will be the sorted linked lists. because the tickets are to be stored in a large amount, and there will be deletions and insertions in large quantity. so keeping them in a sorted list will reduce the resource usage and the trade-off made as high search time will also have less effect, as there will be a limited number of searches.
2x-1=0 is a quadratic equation
Answer:
No
Step-by-step explanation:Because there is not degree higher than one in the equation. Therefore it is linear.
A chocolatier makes 1,313 chocolate covered strawberries per day. The strawberries are packed into boxes. A large box contains 9 strawberries and a small box contains 4 strawberries. If the large boxes are filled first, how many small boxes are needed?
Answer:
2 small boxes
Step-by-step explanation:
The chocolatier makes 1313 chocolate covered strawberries.
The large boxes contains 9 strawberries and the small box contains 4 strawberries.
The large boxes are filled first.
We need to divide 1313 by 9 and find the remainder.
1313 / 9 = 145 remainder 8
This means that 145 large boxes will be needed and 8 strawberries will be left.
The number of small boxes needed is therefore:
8 / 4 = 2 boxes
The sample space, S, of a coin being tossed three times is shown below, where H and T denote the coin landing on heads and tails respectively.
Answer:
The probability distribution for the number of heads occurring in three coin tosses are P(X1) = 1, P(X2)= 2/3, P(X3)= 2/3, P(X4)= 1/3, P(X5)= 2/3, P(X6)= 1/3, P(X7)= 1/3 and P(X8)= 0
Step-by-step explanation:
The question is incomplete. Here is the complete question;
The sample space, S, of a coin being tossed three times is shown below, where Hand T denote the coin
landing on heads and tails respectively.
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Let X = the number of times the coin comes up heads. What is the probability distribution for the number of heads occurring in three coin tosses?
Probability is the likelihood or chance that an event will occur.
Probability = expected outcome/total outcome of event
From the question given, the total number of sample space will be our total outcome during each toss = 3
If X is the number of times the coin comes up heads, the number of times the coin turn up all heads will be the expected outcome during each throw.
Probability distribution P(Xi)= [tex]\frac{n(Xi)}{n(S)}[/tex]
Xi is the probability that the head turns up at each throw.
n(Xi) is the expected outcome during each toss
n(S) is the total outcome during each toss
During the first throw, the head turns up three times (HHH), the probability that heads turns up ia 3/3 = 1
P(X1) = 1
During the second, third and fifth throw, the head turns up two times, the probability that heads turns up during this times will be 2/3
P(X2)= 2/3
P(X3)= 2/3
P(X5)= 2/3
During the fourth, sixth and seventh throw, the head turns up just once, the probability that heads turns up during this times will be 1/3
P(X4)= 1/3
P(X6)= 1/3
P(X7)= 1/3
Since no head turns up during the eight throw, the probability that heads turns up during this time will be 0/3 which is 0.
P(X8)= 0
The probability distribution for the number of heads occurring in three coin tosses are P(X1) = 1, P(X2)= 2/3, P(X3)= 2/3, P(X4)= 1/3, P(X5)= 2/3, P(X6)= 1/3, P(X7)= 1/3 and P(X8)= 0
Answer:
The guy who answered on top meant B if you didn't understand what he said
Step-by-step explanation:
:)
Esther, Vida, and Clair were asked to consider two different cash flows: GH¢1000 that they could receive today and GH¢3000 that would be received 3 years from today. Esther wanted the GH¢1000 today, Vida chose to collect GH¢3000 in 3 years, and Clair was indifferent between these two options. Which of the three women made the right choice
Answer:
Step-by-step explanation:
The explanation is given in the attached picture below
Explain the meaning of the following percentiles in parts (a) and (b). (a) The 10th percentile of the weight of males 36 months of age in a certain city is 11.0 kg. (b) The 90th percentile of the length of newborn females in a certain city is 53.3 cm.
Answer:
a) 10% of the babies with 36 months of age weigh less than 11kg, and 100 - 10 = 90% weigh more.
b) 90% of the newborn females have a lenght of less than 53.3 cm and 100 - 90% = 10% have a length higher than 53.3 cm.
Step-by-step explanation:
Meaning of a percentile:
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
(a) The 10th percentile of the weight of males 36 months of age in a certain city is 11.0 kg.
10% of the babies with 36 months of age weigh less than 11kg, and 100 - 10 = 90% weigh more.
(b) The 90th percentile of the length of newborn females in a certain city is 53.3 cm.
90% of the newborn females have a lenght of less than 53.3 cm and 100 - 90% = 10% have a length higher than 53.3 cm.
Es sobre razones y proporciones.
Gerardo y Daniel tienen monedas coleccionables. Si la relación de las monedas de Gerardo a Daniel es de 15 a 28 y ambas colecciones suman 129 monedas, ¿ Cuántas monedas tienen cada uno?
Answer:
como pongo en español
does anyone know this ?
Answer:
Always
Step-by-step explanation:
If the irrational parts of the numbers have zero sum, the sum is rational. If not, the sum is irrational. It is true, for example, for 2 7, 3. It is false, for example, for3+2 5,−2 5 .
Answer:
always
Step-by-step explanation:
Rational numbers can be expressed as a fraction of two integers. So, adding two rationals is the same as adding two such fractions.
Find the volume of each prism... some please help, I don’t know how to do them.
Answer:
Answer to problem number 1: 576cm cubed
Step-by-step explanation:
The height times the length time the width in this shape is the formula for the volume.
Answer:
question 1. i believe is 576
Step-by-step explanation:
Nathan recently bought a paint sprayer for his painting business. Over the last seven days, he has used 211 gallons of paint to cover
79,125 square feet of wall space. If Nathan uses the sprayer approximately 4 hours each day, how many ounces of paint is the
sprayer dispensing each minute?
Answer: 16.1 ounces per minute
Step-by-step explanation:
in 7 days, he painted by 4 hours each day, so we have a total of 28 hours.
In a hour we have 60 minutes, so we have a total of:
28*60 = 1680 minutes.
He used 211 gallons, and knowing that 1 gallon is 128 ounces, then 211 gallons is:
211*128 ounces = 27,008 ounces.
Then the ounces dispensed each minute are:
R = 27,008/1680 ounces per minute = 16.1 ounces per minute
Problem 5.
Solve Show оr explain your work
Amy. Bill, Katie, Gretchen and Dylan love chocolate. One afternoon, they each had 2 large
chocolate bars Eachchocolate bar was the same size Here is whаt еасh реrѕоn аtе.
Amy 8/6
of her echocolate bar,
Bill 1 1/6 of his chocolate bars
Katie 9/6 of her chocolate bars
Gretchen 1 5/6 of her chocolate bars
Dylan 1 3/6 of his chocolate bars
How much chocolate does Amy, bill, Katie, Gretchen and Dylan have left?
Answer:
2/3, 5/6, 1/2, 1/6, 1/2
Step-by-step explanation:
One afternoon, they each had 2 large chocolate bars.
Amy 8/6 of her chocolate bar = (2 - 8/6) = 2/3
Bill 1 1/6 of his chocolate bars = (2 - 11/6 = 2 - 7/6 = 5/6)
Katie 9/6 of her chocolate bars = (2-9/6) = 1/2
Gretchen 1 5/6 of her chocolate bars = (2- 1 5/6) = 2 - 11/6 = 1/6
Dylan 1 3/6 of his chocolate bars = 2 - 1 3/6 = 2-9/6 = 1/2
The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. Approximately half of the layoffs will be hourly employees (The Wall Street Journal, January 25-26, 2014). Suppose the following data represent the percentage of hourly employees laid off for Sam's Club stores.55 56 44 43 44 56 60 62 57 45 36 38 50 69 65a. Compute the mean and median percentage of hourly employees being laid off at these stores. Mean Medianb. Compute the first and third quartiles. First quartile Third quartilec. Compute the range and interquartile range. Range Interquartile ranged. Compute the variance and standard deviation. Round your answers to four decimal places. Variance Standard deviatione. Do the data contain any outliers
Answer:
Step-by-step explanation:
a) Rearranging the given data in ascending order, it becomes
36, 38, 43, 44, 44, 45, 50, 55, 56, 57, 56, 60, 62, 65, 69
n = 15
The mean = (55 + 56 + 44 + 43 + 44 + 56 + 60 + 62 + 57 + 45 + 36 + 38 + 50 + 69 + 65)/15 = 52
Median = 55
b) Range = 69 - 36 = 33
The median divides the data set into two halves, lower and upper. The median of the lower halve is the first quartile, Q1 while the median of the upper halve is the third quartile, Q3
First quartile, Q1 = 44
Third quartile, Q3 = 60
Inter quartile range, IQR = Q3 - Q1 = 60 - 44 = 16
Variance = (summation(x - mean)²/n
Variance = (55 - 52)^2 + (56 - 52)^2 + (44 - 52)^2 + (43 - 52)^2 + (44 - 52)^2 + (56 - 52)^2 + (60 - 52)^2 + (62 - 52)^2 + (57 - 52)^2 + (45 - 52)^2 + (36 - 52)^2 + (38 - 52)^2 + (50 - 52)^2 + (69 - 52)^2 + (65 - 52)^2/15
Variance = 93.467
Standard deviation = √variance
Standard deviation = √93.467 =
9.668
The data does not contain any outliers.
question is attached
The centroid is 1/3 of the vertical distance between QV
QV = 3 x VT = 3 x 5 = 15
QT = 15-5 = 10
Suppose 13% of American adults believe that the highest priority of America is to protect freedom of speech. We will take a random sample of 20 American adults and ask them the question. Then the sampling distribution of the sample proportion of people who answer yes to the question is:
Answer:
A) neither Normal, not Binomial
The sampling distribution is the product of the sample size and the population proportion, hence the number ld samples in the distribution which will answer yes is 2.6
The proportion of the population who believe freedom of speech is of highest priority = 13% = 0.13
P = 0.13 Sample size = 20The sample distribution can be defined as :
Population proportion × sample size 0.13 × 20 = 2.6Therefore, the average Number of persons in the sample who will answer yes will be 2.6
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a) Lets p, q, r represent the following statements: p: it is hot today. q: it is sunny r: it is raining Express in words the statements using Bicondtional statement represented by the following formulas: i. q ↔ p ii. p ↔ ( q ˄ r ) iii. p ↔ ( q ˅ r) iv. r ↔ ( p ˅ q)
Answer:
Step-by-step explanation:
The arrow with two tips is translated as "if and only if". The symbols [tex]\land, \lor[/tex] and read as "and" and "or"respectively.
If we have the following p: it is hot today. q: it is sunny r: it is raining
Then
i. q ↔ p : It is sunny if and only if it is hot today.
ii. p ↔ ( q ˄ r ) : it is hot today if and only if it is sunny and it is raining
iii. p ↔ ( q ˅ r) : it is hot today if and only if it is sunny or it is raining
iv. r ↔ ( p ˅ q) : it is raining if and only if it is hot today or it is sunny
What values of x and y satisfy the system of equations {3x+2y=14x=4y−2? infinitely many solutions (5011,1811) (1811,5011) no solution (107,267) (267,107)
(HELP PLS WILL MARK BRAINLIEST) For her birthday, Allie received $75. She wants to buy some CDs
that cost $14.95 each. Estimate the maximum number of CDs that
Allie can buy with her birthday money by rounding the cost of a CD
up to the nearest whole dollar.
A) 3
B) 5
C) 7
D) 9
Answer:
5
Step-by-step explanation:
She received $75
1 CD cost $14.95
Therefore the number of CDs that can be bought are $75/$14.95 is
5.016
Answer: B
Step-by-step explanation:
Times $74.95 by each number, and the one closet will be your answer:
$14.95 x 5 = $74.95 rounded to the nearest whole dollar is $75
What is the solution set of |–x| = –10?
{10}
{–10}
{–10, 10}
no solution
Answer:
no solution
Step-by-step explanation:
Modular equation:
The modular of a function f(x)(|f(x)|) is the distance of f(x) to the origin.
In the case of a point, the modulus of the point is the distance to the origin.
If we have:
|f(x)| = a, it means that:
f(x) = a or f(x) = -a.
However
It is only true for non-negative values of a, since the modulus is a distance, which is a positive measure.
|–x| = –10
The modular is never a negative number, so it cannot be -10.
This means that there is no solution.
Answer:
I believe its "D"
Step-by-step explanation:
The base (b) of the triangle is units. The height (h) of the triangle is units. The area of the triangle is square units.
Answer:
Option A. Base of the triangle is 3unita
Option B. Height of the triangle is 5units
Option B. Area of the triangle is 7.5units
Step-by-step explanation:
The question is incomplete and lacking appropriate diagram. Here is the complete question.
The base (b) of the triangle is _ units.
A) 3 B) 5 C) 8 D) 13
The height (h) of the triangle is units.
A) 3 B) 5 C) 8 D) 13
The area of the triangle is square units.
A) 5 B) 7.5 C) 15 D) 30
Also find the attachment below.
From the graph, each square box in the graph will be taken as 1unit.
Since the base of the triangle is sitting on 3-square boxes, the total units of its base will be 3units. The base of the triangle is therefore 3units.
Similarly, the height of the triangle covers 5 square boxes, therefore the height of the triangle will be 5units.
Area of the triangle = 1/2 × base × height
Area of the triangle = 1/2 × 3 × 5
Area of he triangle = 15/2 = 7.5units
Answer:
3,5,7.5
Step-by-step explanation:
just got the answer right.
4÷(4 ÷ 9) = (4 ÷ 4) ÷ 9
A. True
B. False
Answer:a true
Step-by-step explanation:
Hope this help
"Opportunity" and "Phoenix" are two of the robotic explorers on Mars. Opportunity landed at 2° south latitude, where Mars’ radius is about 2110 miles. Phoenix landed at 68° north latitude, where Mars’ radius is about 790 miles. Mars rotates on its axis once every 24.6 Earth-hours. How far does each explorer travel as Mars rotates by 1 radian? How many hours does it take Mars to rotate 1 radian? Using this answer, how fast is each explorer traveling around Mars’ axis in miles per hour?
Answer:
(a)Distance traveled by each explorer travel as Mars rotates by 1 radian
Opportunity=2108.71 milesPhoenix =295.94 miles(b)Number of hours it takes Mars to rotate 1 radian=3.9152 hours
(c)Speed of each explorer around Mars.
Opportunity=538.59 miles per hourPhoenix =75.59 miles per hourStep-by-step explanation:
Part A
For any given parallel of latitude[tex]\text{Circumference}=2\pi R \cos \beta$ where \beta$ is the angle of latitude.[/tex]
Opportunity landed at 2° south latitude, where Mars’ radius is about 2110 miles.
[tex]\text{Circumference at 2\°S latitude}=2\pi*2110* \cos 2^\circ\\=13249.44$ miles[/tex]
Phoenix landed at 68° north latitude, where Mars’ radius is about 790 miles.
[tex]\text{Circumference at 68\°N latitude}=2\pi*790* \cos 68^\circ\\=1859.44$ miles[/tex]
Part B
Next, we determine the distance (Length of arc) covered by each explorer as Mars rotates by 1 radian.
[tex]\text{Length of arc (in radian)}=\dfrac{\theta}{2\pi} \times $Circumference[/tex]
Opportunity's Distance
[tex]=\dfrac{1}{2\pi} \times 13249.44\\\\ =2108.71$ miles[/tex]
Phoenix's Distance
[tex]=\dfrac{1}{2\pi} \times 1859.44\\\\ =295.94$ miles[/tex]
Part C
Mars rotates on its axis once every 24.6 Earth-hours.
Therefore:
[tex]\dfrac{24.6}{2\pi} \approx $ 3.9152 hour per radian[/tex]
Part D:Speed of each explorer
[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed of Opportunity = }\dfrac{2108.71}{3.9152}\\$=538.59 miles per hour\\\\Speed of Phoenix =\dfrac{295.94}{3.9154}\\=75.59$ miles per hour[/tex]
What’s the correct answer for this?
Answer:
C.
Step-by-step explanation:
Since mAB = mCD
So
3x+9 = 11x-71
9+71 = 11x-3x
80 = 8x
So
x = 10
Now
Arc AB = 3x+9
= 3(10)+9
= 39°
please help...how to change percentage to ratio
The relationship between the time a politician has been in office and his approval rating can be modeled by the equation y = –0.01x + 70, where x is his time in office in days and y is his approval rating as a percent. Which of these statements is true according to the model?
Answer:
Because of absence of options, I have listed statements that are true; according to the model.
Step-by-step explanation:
To answer this, we find all possible explanations to the model. First, we know that:
X = time in office (in days)
Y = approval rating (in percentage)
The constant term in the model is 70
So the true statements that can be derived are:
(A) Y is inversely related to X. This is obvious because of the difference in sign of the coefficient of Y and that of X.
The coefficient of Y is +1
The coefficient of X is -0.01
Y has a positive coefficient while X has a negative coefficient.
The inverse relationship hence implies that the more days the politician spends in office, the less his percentage approval rating (and vice versa)!
Testing;
If X = 10 days, Y = 69.9%
If X = 20 days, Y = 69.8%
If X is 30 days, Y = 69.7%
(B) The rate at which approval rating drops is very slow; compared to the increase in number of days in office. A 10 day increase in number of days in office only results in a 0.1 or 10% decrease in percentage approval ratings.
(C) The longer a politician stays in office, the less his approval rating.
(D) The percentage approval rating is greatly influenced or increased by the constant term 70
What fraction of an hour is 44 minutes? Give your answer in its simplest form.
Answer:
11/15
Step-by-step explanation:
1 hour = 60 minutes
44 minutes out of 60 minutes is the fraction
44/60 = 11/15
A company that packages peanuts states that at a maximum 6% of the peanut shells contain no nuts. At random, 300 peanuts were selected and 21 of them were empty.
1.With a significance level of 1%, can the statement made by the company be accepted?
2.With the same sample percentage of empty nuts and 1 − α = 0.95, what sample size would be needed to estimate the proportion of nuts with an error of less than 1%?
Answer:
1) [tex]z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729[/tex]
We can calculate the p value with the following formula:
[tex]p_v =2*P(z>0.729)=0.466[/tex]
The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.
2) [tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66[/tex]
And rounded up we have that n=2167
Step-by-step explanation:
Information given
n=300 represent the random sample taken
X=21 represent the number of peanuts empty
[tex]\hat p=\frac{21}{300}=0.07[/tex] estimated proportion of peanust empty
[tex]p_o=0.06[/tex] is the value to test
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Part 1
We want to test if the true proportion is 6% or no the system of hypothesis are:
Null hypothesis:[tex]p=0.06[/tex]
Alternative hypothesis:[tex]p \neq 0.06[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.07 -0.06}{\sqrt{\frac{0.06(1-0.06)}{300}}}=0.729[/tex]
We can calculate the p value with the following formula:
[tex]p_v =2*P(z>0.729)=0.466[/tex]
The p value for this case is very high and using the significance level of 0.01 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the statment makes sense.
Part 2
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.01[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.06(1-0.06)}{(\frac{0.01}{1.96})^2}=2166.66[/tex]
And rounded up we have that n=2167
The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
Length and width of rectangle is 86 unit and 15 unit
Given that;
Perimeter of a rectangle = 202
Length of rectangle = 26 + 4[Width]
Find:
Dimensions of rectangle
Computation:
Assume;
Width of rectangle = a
So,
Length of rectangle = 4a + 26
Perimeter of a rectangle = 2[l + b]
202 = 2[(4a + 26) + a]
101 = 4a + 26 + a
5a + 26 = 101
5a = 75
a = 15
Width of rectangle = 15 unit
Length of rectangle = 4a + 26
Length of rectangle = 4(15) + 26
Length of rectangle = 60 + 26
Length of rectangle = 86 unit
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