a. Draw a rectangle with an
area of 39 squares, and
perimeter of 32 units.
a

Answers

Answer 1

Answer:

It has side lengths of 3 and 13

Step-by-step explanation:

If it has an area of 39, then let the sides be x and y: thus we get the two relationships:

xy=39

2(x+y)=32

From the second equation, you get x+y=16. Now, rearrange to get y=16-x. You can now plug this into the first equation:

x(16-x)=39 -> 16x-x^2=39 -> x^2-16x+39=0 -> (x-3)(x-13)=0

This implies that x=3, or x=13, which further implies that the side lengths must be 3 and 13.


Related Questions

the following are scores of students:9,7,8,9,7,5,8,10,7,8 and 10. the value of the population variance is 4. true or false?​

Answers

Answer:

yes

Step-by-step explanation:

yyyyyyyyyyyyyyyyyyyyyy

If you vertically stretch the absolute value parent function, f(x)=|x|, by a factor of 4, which of these is the equation of the new function?

Answers

the new function when stretched: f(x)=4|x|

HURRY WILL MARK AS BRAINLIEST IF CORRECT

Answers

Answer:

The nuber of cells double

Step-by-step explanation:

The cyroplasmic or cytokinesis is the divison of cells at the end of mitosis bringing the seperation to become 2 daughter cells.

Ana's manager is trying to figure out how much to charge for a chair that just arrived. If the wholesale price of the chair is $135 and Ana's store marks up all the furniture by 85%, at what price should the manager sell the chair? Round your answer to the nearest cent.

Answers

Answer:

$249.75

Step-by-step explanation:

135 x 0.85

114.75 + 135

Help, Please, will give 20 points and brainiliest. URGENT!

Answers

Answer:

Step-by-step explanation:

b = 21 is the base, a is the height

area = 0.5ab = 210

ab = 420

a = 420/b = 420/21 = 20 ft

length of hypotenuse = √(a²+b²) = √(20²+21²) = √841 = 29 ft

An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.

Answers

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

Given the linear system:

5x + 3y = 17
-8x - 3y = 9

What is the correct formula for the solution to the linear system?

Answers

-3x=26 when you solve using elimination, so then x= -8.6 and plug that in to find y and then see which answer matches

Answer:

Step-by-step explanation:

For this question, it's C

5/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST

Answers

Answer:5/56 or a decimal form of 0.08928571

Step-by-step explanation:

Answer:

0.08928571428571428571428571428571

Step-by-step explanation:

I hope this helps!

Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.

A=

Answers

Step-by-step explanation:

area of trapezium = 15× 12 + 1/2× 12× 5

= 180 + 30 = 210

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. Assume that none of these 250 students is majoring in both areas. There are a total of 100 majoring in psychology and only 80 of those majoring in psychology are happy while 35 students majoring in communication are unhappy.
If one student is selected at random from this group, find the probability that this student is:________
i. happy with the choice of major
ii. a psychology major
iii. a communication major given that the student is happy with the choice of major
iv. unhappy with the choice of major given that

Answers

Solution :

It is given that :

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So number of students majoring in psychology  those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

    [tex]$=\frac{80+115}{250}$[/tex]

    = 0.78

b). Psychology major [tex]$=\frac{80+20}{250}$[/tex]

                                   = 0.4

c). Probability of the students who are happy with the communication as the choice of major = [tex]$\frac{115}{250}$[/tex] = 0.46

d). Students unhappy with their choice of major given that the student is psychology major = [tex]$\frac{20}{250}$[/tex]  =  0.018

a) Probability of the students happy with their major choices is 0.78.

b) Probability of Psychology major is 0.4

c) Probability of the students who are happy with the communication as the choice of major is 0.46.

d) Students unhappy with their choice of major given that the student is psychology major is 0.018

Given:

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So, number of students majoring in psychology those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So, number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

[tex]=\frac{80+115}{250} =0.78[/tex]

b). Psychology major

[tex]\frac{80+20}{250} =0.4[/tex]

c). Probability of the students who are happy with the communication as the choice of major =[tex]\frac{115}{250} =0.46[/tex]

d). Students unhappy with their choice of major given that the student is psychology major =[tex]\frac{20}{250} =0.018[/tex]

Learn more:

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Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast, before tip?

Answers

Answer:

$1.44

Step-by-step explanation:

1.80x20%

Answer:

$ 1.44

Step-by-step explanation:

Multiply 1.80 and 20%

HELP Which of the following is NOT a property of a magnet, exerts magnetic force, has magnetic poles, some magnets have two north poles, has a magnetic field

Answers

Answer:

Some magnets have two north poles

A circle has a radius of 18.2 cm. Find the
length of the arc intercepted by a central
angle having the measure 3 radians.

Answers

Answer:

54.6cm

Step-by-step explanation:

Arc length = radius * central angle

= 18.2*3

=54.6

39 is what percent of 82

Answers

Answer:

47.5%

Step-by-step explanation:

39/82 = .475 = 47.5%

Answer:

39 is  47.56% of 82

Step-by-step explanation:

82 is 100% since it is our output value.

divide 39 by 82 to get the answer in decimal form:

39 / 82 = 0.4756

Then  multiplied the answer from the first step by one hundred to get the answer as a percentage

0.4756 * 100 = 47.56%

How many solutions does the system of linear equations have?
y = 4x - 7
y = x – 3
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions

Answers

Answer:

X = 4/3 Exactly one solution

Step-by-step explanation:

x-3 = 4x-7

x = 4x-4

-3x = -4

x = 4/3

help now pls bby pls

Answers

Answer:

Cities around the country are changing. Faded boards, dull concrete, and old bricks are coming to life. Communities are are turning walls of their buildings, roads, and bridges into colorful murals. Painters might show local scenes, honor a hero or celebrate a culture. Murals can also be great projects for schools. They encourage teamwork, school spirit, and creativity. What would you paint? Your mural could inspire people to recycle, be a volunteer or cheer for a team.

Step-by-step explanation:

there are commas where they are supposed to be

Answer:

yes

Step-by-step explanation:

Two points are located on a graph, Point A is (-1, 10), and Point B is (4,3). What is the
distance between Point A and Point B?
A) 8.6
B)13.3
C) 10
D)3

Answers

Answer:

10

Step-by-step explanation:

differentiate between Charles babbage's and Alan turing's computer designs​

Answers

The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician and computer pioneer Babbage,[2][3] with the assistance of Ada Lovelace. It was first described in 1837 as the successor to Babbage's difference engine, which was a design for a simpler mechanical computer.

Complete the last row for a different batch size that hasn’t been used so far in the table. Explain or show your reasoning.

Answers

vanilla x 2.5 = flour
for example: 10 x 2.5 = 25

3629 you can use the digits twice make the largest four digit number​

Answers

Answer:

9632

or

9966

Step-by-step explanation:

im not 100% sure

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

Part A: A. 28+5h

Part B: Yes

please help me thank you in advance!

Answers

Answer:

First option: (x+9)^2=81

Step-by-step explanation:

It has the same solution

emeril is building a cutting board for his home kitchen.He wants it to be similar in size to the cutting board at gis restaurant.His restaurant cutting board is 36 inches wide by 21 inches long .He has enough space on his home counter for a board that is 24 inches wide.How long will his home cutting board be?

Answers

Answer:

14 inches

Step-by-step explanation:

I say 14 inches because width for the board at the restaurant is 36 (3×12) and the length is (3×7) so if the width for the board at home is 24 ( 2×12) then the length must be 14 ( 2×7). See what I did?

His home cutting board will be 14 inches long.

Since Emeril is building a cutting board for his home kitchen, and he wants it to be similar in size to the cutting board at gis restaurant, which is 36 inches wide by 21 inches long, and he has enough space on his home counter for a board that is 24 inches wide, to determine how long will his home cutting board be the following cross multiplication calculation must be performed:

36 = 24 21 = X (21 x 24) / 36 = X 14 = X

Therefore, his home cutting board will be 14 inches long.

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10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .

Answers

Answer:

Step-by-step explanation:

15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480

Population after 8 days is 480

Population after 8 days is 480.

What is exponential function?

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

here, we have,

given that,

the approximate population P of a bacteria colony is given by

P = 15t ^ (5/3)

where t is the number of days start of the experiment .

now,

the population of the colony on the 8th day is,

15×8^(5/3)

= 15×∛8^5 ]

= 15×2^5

= 15×32

= 480

hence, Population after 8 days is 480.

To learn more on exponential function click:

https://brainly.com/question/14355665

#SPJ2

which is the circumference of the circle

Answers

Answer:

The answer is D, 47.1.

Step-by-step explanation:

Circumference is the diameter multiplied by pi, 15 * 3.14 is 47.1, so your current choice is correct.

Geometry problem above^^^ In the figure at the right FGH ~ KLJ....

Answers

Answer:

x = 12

y = 4.5

Step-by-step explanation:

Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:

[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]

[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]

✔️Let's solve for x using:

[tex] \frac{x}{6} = \frac{6}{3} [/tex]

Multiply both sides by 6

[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]

[tex] x = \frac{6*6}{3} [/tex]

[tex] x = 12 [/tex]

✔️Solve for y using:

[tex] \frac{9}{y} = \frac{6}{3} [/tex]

Cross multiply

[tex] y*6 = 3*9 [/tex]

6y = 27

y = 27/6

y = 4.5

write down the 3 integers, all the less than 25, whose range is 10 and
mean is 13
The three integers are

Answers

9,11,19 add them to get 39 divide by 3 so the mean is 13. 19-9 is 10

Please help I’m begging someone p,ease help I can’t do this anymore help

Answers

Answer:

-5.99

-3

-6

-5.9

-1

-5.999

-5

2

Step-by-step explanation:

All these numbers are greater (or equal to) -6 because they are closer to 0

hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm ​

Answers

jawaban

a. = 112 cm²b. = 136 cm²

penjelasan langkah demi langkah( step by step explanation )

Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)

a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )

= 2 ( 32 + 8 + 16 )

= 2 × 56

= 112 cm²

b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )

= 2 ( 24 + 12 + 32 )

= 2 × 68

= 136 cm²

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers. If a new data point at 12 is added to the graph, which will be true? The mean will increase, and the median will stay the same. The median will increase, and the mean will stay the same. The mean will increase more than the median, but both will increase. The median will increase more than the mean, but both will increase.

Answers

Answer:

Answer: C) The mean will increase more than the median, but both will increase.

Step-by-step explanation:

I got it right on the test review.

Answer:

just took the test the answer is C)

Step-by-step explanation:

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