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Inessa [10]
3 years ago
5

A rectangle has an area 40 square units. The length is 6 units greater than the width.What are the dimensions?

Mathematics
2 answers:
Julli [10]3 years ago
6 0
Length 10, width 4


Work
40 = lw = (6+w)*w
40 = w^2 + 6w
40 + 9 = 49 = w^2 + 6w + 9
49 = (w + 3)^2
7 = w + 3
w = 7-3 = 4

remember that 40 = lw? We now know w, so let's find l:
40 = 4l
l = 40/4 = 10


Length 10 units, width 4 units
Lostsunrise [7]3 years ago
3 0

Answer:

10,4

Step-by-step explanation:

width = w

length =l = w+4

area= l*w = (w+4) * w

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If the difference between a number and 21 is divided by2, the result is 4 times the number. What is the number
Ostrovityanka [42]
(n-21)/2=4n is the equation

First, divide what is in the parentheses by 2
0.5n-10.5=4n

Then, multiply the whole equation by 2 so we have all whole numbers
n-21=8n

Move N so that it is with 8n
7n=-21

Divide 21 by 7
n=-3

Solution: The number (n) is equal to -3
6 0
3 years ago
Anybody want to role play ???
Afina-wow [57]

Answer:

Thats smarttt

Step-by-step explanation:

You phrased it so it would get pass the brainly bots system, kudos to you!

8 0
3 years ago
Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which stat
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Step-by-step explanation:

3 0
3 years ago
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "D
Nataly_w [17]

Complete  Question

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.

a)

What is the sample size for this poll?

b)

Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)

c)

Discuss the poll in terms of the population and sample framework that we have studied in this chapter.

i)

This random sample of responses collects the opinions of a random group of users across all users of the Internet.

ii)

This voluntary response sample collects only the opinions of those that visit this site every day.

iii)

This random sample of responses collects the opinions of a random group of users of the particular site.

iv)

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

Answer:

a

   n  =  1324

b

  YES             y  = 48.03 \%

    NO             m  =44.94 \%

   NOT SURE  m  =7.02\%

c

The correct option is (iv)

Step-by-step explanation:

From the question we are told that

The voting options are "Yes, " "No, " "Not sure, " or "Don't care."

The number of people that said is Y =  636

The number of people that said No is N = 595

The number that indicated Not sure is S =  93

Generally the sample size is mathematically represented as

n  = Y  +  N  + S

=> n  =  636  +   595  + 93

=> n  =  1324

Generally the percentage of responses that was Yes is mathematically represented as

y  =  \frac{636}{ 1324}  * 100

=>     y  = 48.03 \%

Generally the percentage of responses that was No is mathematically represented as

m  =  \frac{595}{ 1324}  * 100

m  =44.94 \%

Generally the percentage of responses that was Not sure is mathematically represented as

s  =  \frac{93}{ 1324}  * 100

m  =7.02\%

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

4 0
3 years ago
The pass mark for a test is 86%.<br> Steve scores 52 out of 61 marks.<br> Does he pass the test?
laiz [17]

Answer:

He fails

Step-by-step explanation:

Marks = 52/61

Percentage =  52/61  x 100 ~ 85%

Pass amrk =86%

85% < 86%  

So , he fails

4 0
3 years ago
Read 2 more answers
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