A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.

Answers

Answer 1

9514 1404 393

Answer:

length: 24 ftwidth: 42 ft

Step-by-step explanation:

The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...

  L(2L -6) = 1008

  L² -3L -504 = 0 . . . . . divide by 2, put in standard form

  (L -24)(L +21) = 0 . . . . factor

  L = 24 . . . . makes the first factor zero

  W = 2L -6 = 2(24) -6 = 42

The length of the rectangle is 24 feet; the width is 42 feet.


Related Questions

Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing

Answers

Answer:

Decreasing because the line is going down meaning it is decreae

Which of the following equations represents a linear function

Answers

Answer:

its B

Step-by-step explanation:

please like my answer . brainliest please

can someone help me with this please

Answers

9514 1404 393

Answer:

  1. attendance (y), time (x)

  2. 1,2: increasing; 3: constant; 4: decreasing

  3. attendance increases, remains constant, then decreases

  4. increasing; pre-heating the oven

Step-by-step explanation:

It is always difficult to read the mind of the author of questions like these. Usually, specific wording is expected. If your curriculum material has examples you can copy from, you should do that.

__

1. The variables and what they stand for are listed on the axes of the graph. The y-variable stands for attendance. The x-variable stands for time. It isn't clear whether the desired answer is "y and x" or "attendance and time".

__

2. The graph slopes upward in intervals 1 and 2. It can be described as "increasing."

The graph remains level in interval 3. It can be described as "constant."

The graph slopes downward in interval 4. It can be described as "decreasing."

__

3. The attendance is adequately described in question 2. Attendance increases, remains constant, then decreases. It isn't clear how general or specific the answer is supposed to be.

__

4. The graph of the function is "increasing." We don't know if the indicated temperature is the temperature of the bread, the oven, or the room containing the oven. If we assume the indicated temperature is that of the oven, we expect an increase during the oven pre-heat interval.

If the indicated temperature is that of the bread, then the increase would be following insertion of the bread into the oven.

ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP

Answers

Answer:

128

Step-by-step explanation:

Do 10*8=80

8*6=38  48/2=24

80+24+24

104+24

128

Point L is located at (-3,-6) where is L after a reflection over the y-axis

Answers

9514 1404 393

Answer:

  L'(3, -6)

Step-by-step explanation:

The reflection over the y-axis is modeled by the transformation ...

  (x, y) ⇒ (-x, y)

  L(-3, -6) ⇒ L'(3, -6)

Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.

Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?

Answers

Answer:

The necessary sample size is of 5683.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.

This means that [tex]\pi = 0.3[/tex]

The estimate is to be within 1% of the population proportion. What is the necessary sample size?

A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]

[tex]n = 5682.6[/tex]

Rounding up:

The necessary sample size is of 5683.

I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP / WRITE ON PAPER!

-giving brainlist

Answers

Answer:

I don't know if this is all correct, but I tried

for each of the figures write an absolute value equation to satisfy the given solution set

5 and 17

Answers

answer is: I x-11 I = 6

Answer:

|x-11|=6

hope this helps

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

A bike has a diameter of 10 in. What is the circumference of the wheel?

Answers

The circumference would equal to 31.4 rounded to the tenth place or 31.42. 10 times pie= 31.4 or 31.42

Which expression is equivalent to -6(3 + 4x)?

Answers

Answer:

A

Step-by-step explanation:

may I have brainllest

Answer:

A

Step-by-step explanation:

The sum of two numbers is 9. If one number is subtracted from the​ other, the difference is −3. Find the two numbers.

Answers

Answer:

The numbers are 6 and 3

Step-by-step explanation:

Let the numbers be x and y

So their sum is x + y =9 (EQ. 1)

Their difference is x - y = -3 (EQ. 2)

Solve simultaneously using subtract method.

x-x=0, x is eliminated. y- -y = +2y since -x- is +.

so it is now 2y = 9- - 3:. 2y= 12; dividing both sides by 2. Y=6.

Substitute Y=6 in EQ 1 to find x.

So x + 6=9;. x=9-6 is achieved by collecting like terms. so x=3.

:. Y=6 and x=3. The numbers are 6 and 3

I think I was able to expantiate it well.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х

Answers

Answer: x=10.25

Step-by-step explanation:

[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]

Find the surface area of the regular pyramid.

help TvT

Answers

the whole pyramids SA would be
144+480=624

ms. lorenz needs to rent a car for 3 days. she can choose from two plans. plan a costs $60 per day. plan b costs $30 per day plus $.40 for each mile she drives. ms lorenz decides that plan b will cost her less than plan a. write and solve an inequality to represent the number of miles, m, that ms. lorenz expects to drive. PLEASE HELP!!!

Answers

Answer:

distance driven < 300 miles.

Step-by-step explanation:

Plan A

She needs the car for 3 days.

1 day costs 60 dollars

3 days cost 60*3 = 180 So this is the maximum amount that she can spend

Plan B

She still needs the car for 3 days

1 day costs 20 dollars of the car does not move

3 days costs 3*20 = 60 dollars.

60 + 0.4m < 180                Subtract 60

0.4m < 180 - 60

0.4m < 120                        Divide by 0.4

m < 120/ 0.4

m < 300  

Answer

so she should drive less than 300 miles.

Why is it that every time I ask a question either it never gets answered or just gets met with spam or someone sending me gross images?

Answers

Answer:

That is what happens to me, I am asking a question right now and like people say like "Sorry don't want to be mean but no one wants to do it" so I am really not sure.

Step-by-step explanation:

HELP DUE ASAP PLEASE!! X.
Y.
10
3 4 5 6 7 8 9
SELECT ALL THAT APPLY for the box plots above.
the first quartile has a greater spread for box plot x than the spread in the first quartile for
box ploty
25% of the data is greater than 7.5 for box plot x and 50% greater for box ploty
the medians have the same value for both box plots
the median for box plot x has the same value as the lower quartile of box ploty

Answers

Answer:

D. The median for box plot X is the same as the lower quartile as box plot Y.

Step-by-step explanation:

If you look at box plot X, its median is at 6. Also, the lower quartile for box plot  Y is 6 as well. That means that D. is the correct answer. Hope this helps!

Answer:

Below

Step-by-step explanation:

I'm pretty sure it may be B, and D

D because when you look at it X's plot does have the median line up with Y's Lower quartile

And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's

What is the approximate volume of a half sphere with a diameter of 8 cm?

Answers

Answer:

134.04

Step-by-step explanation:

PLEASE HELP 25 POINTS

The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.




Which answer correctly identifies the elevations of both points on the map?






Point X= 1500m, Point Z= 2000m


Point X= 1550m, Point Z= 1600m


Point X= 1600m, Point Z= 2050m


Point X= 2050m, Point Z= 1600m

Answers

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

divide the polynomial (x^2 + 3x + 5) by 2x + 1​

Answers

Answer:

50888888888888888888+++++

Les 2/3 de 9Litres ?

Answers

Answer:

6 litres

Step-by-step explanation:

9:3=3

2×3=6

therefore the answer is 6.

7 1/2 divided by 3/4

Answers

Answer:

2 2/3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

First convert to mixed fractions 7 1/2-> 15/2

Then multiply by the reciprocal---> 15/2 x 4/3

The answer is 60/6

Then simplify---> 10/1 or 10

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. The correct value of the Z-statistic is

Answers

Answer:

The correct value of the Z-statistic is z = -1.56

Step-by-step explanation:

A company manufacturing computer chips finds that 8% of all chips manufactured are defective.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.08[/tex]

A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.

This means that the alternate hypothesis is:

[tex]H_{a}: p < 0.08[/tex]

z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.08 is tested at the null hypothesis:

This means that [tex]\mu = 0.08, \sigma = \sqrt{0.08*0.92}[/tex]

After training was implemented, a sample of 450 chips revealed only 27 defects.

This means that [tex]n = 450, X = \frac{27}{450} = 0.06[/tex]

The correct value of the Z-statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.06 - 0.08}{\frac{\sqrt{0.08*0.92}}{\sqrt{450}}}[/tex]

[tex]z = -1.56[/tex]

9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)

Answers

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

Seven
more than 9 is my denominaton,
One less than my denominator is my numerator. What fraction am I. ​

Answers

Answer:

15/16

Step-by-step explanation:

Seven  more than 9 is my denominator:

[tex]7+9=16[/tex]

One less than my denominator is my numerator :

[tex]16-1=15[/tex]

What fraction am I :

[tex]\frac{15}{16}[/tex]

Answer:

[tex] \frac{15}{16} [/tex]

Step-by-step explanation:

Sorry if wrong :( .

Follow me? FollowBack ^^ .

Find the value of x in the triangle shown below 8 10

Answers

Answer:

x = 6

Step-by-step explanation:

pythagorean theorem

a^2 = c^2 - b^2

a^2 = 10^2 - 8^2

a^2 = 100 - 64

a^2 = 36

sqrt a^2 = sqrt 36

a = 6

CHECK:

6^2 + 8^2 = 10^2

36 + 64 = 100

yes.

How do I solve this???

Answers

Answer:

Step-by-step explanation:

In a bag of red and green Holiday M&M’s there are 40 red M&Ms for every 100 M&Ms. How many red M&M’s are in the bag if there are 300 M&M’s total?

Answers

Answer:

if there are 300 m&m's there will be 120 red

Jim takes out a mortgage for 30 years at an interest rate of 2.49% and his monthly repayments are $986.50. What is the principal loan amount? Round your answer to the nearest ten thousand dollars. Do NOT round until you have calculated the final answer.

Answers

Answer:

250000

Step-by-step explanation:

P=986.50(1-(1+.0249/12)^-(12)(30) Then divide the answer you get by (.0249/12)

Answer: 250,000

Step-by-step explanation:

We must apply the formula for P0, that is,

P0=986.50(1−(1+0.024912)−30⋅12)(0.024912),

which gives P0=$250,000 to the nearest $1.

PLEASE HELP!!!
Multiple Choice: which of the following expressions is not an equivalent
expression to the others?
A. 8(x-2) + 40
B. 8x - 3
C. 8(x + 3)
D. 40 + 8x – 16

Answers

B. Is not equivalent
Explanation:
The other equations equal 8x + 24, but b is 8x - 3
Further explanation:
A. 8(x-2) + 40
8x - 16 + 40
8x + 24
B. 8x - 3
C. 8(x + 3)
8x + 24
D. 40 + 8x - 16
24 + 8x
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