The length of a rectangle is 4 yd longer than its width.
If the perimeter of the rectangle is 56 yd, find its length and width.

Answers

Answer 1

Answer: The length of the rectangle is 16 yards and the width is 12 yards.

Step-by-step explanation:

The length is 4 yds longer than the width. Let's remove that from the perimeter so that the perimeter will be as if all sides had the same length (remember there are 2 sides for length and 2 sides for width).

[tex]56-4-4\\48[/tex]

Now we made it so that the extra 4 yards are gone and all sides are equal like a square. Now we can divide by 4 to determine the length of each of the now equal sides

[tex]\frac{48}{4} =12[/tex]

So all of the sides are 12, 12, 12, and 12. To two of the sides we can add back the extra 4 yards we took out giving us sides of 12, 12, 16, and 16.

Let's add it all together and see if it makes the perimeter of 56

[tex]12+12+16+16\\24+32\\56[/tex]

It does! Since the length is 4 yds longer than the width the length is 16 and width is 12.


Related Questions

Describe how you would factor x^2 + 10x - 24. Be specific.

Answers

Answer:

if u have more doubts feel free to ask :)

Step-by-step explanation:

x² + 10x -24  

x² + 12x - 2x - 24          

x(x + 12) -2(x + 12)

(x + 12) (x - 2)

Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12,  ±24. Combination of +12 and -2 gives "10" the middle term also " 24"

((PLEASE HELPP)
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
1.)-5x+y=10
-25x+5y=50
2.)3x-7y=9
-4x+5y=1
3.)y=6x-2
y=6x-4​

Answers

Answer:

1 has 1 solution

2 has one solution

3 has no solutions The lines are parallel

Which point would not be a solution to the system of linear inequalities shown below? y\ge x+5\hspace{50px}y\ge\frac{2}{3} x+6 y≥x+5y≥ 3 2 ​ x+6 (12, 7) (-12, 1) (-12, 9) (-12, 6)

Answers

Answer:

(12,7) is not a solution

Step-by-step explanation:

Given

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Required

Point that is not a solution

We have:

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality

[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]

Collect like terms

[tex]\frac{2}{3}x - x \ge 5-6[/tex]

[tex]-\frac{1}{3}x \ge -1[/tex]

Solve for x (the inequality will change because we are to divide by a  negative number_

[tex]x \le -1/-\frac{1}{3}[/tex]

[tex]x \le 3[/tex]

Without solving further, we can conclude that the first option is not a solution.

Because (12,7) implies that [tex]x =12[/tex]

Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false

The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. The shortest warmer was blue. The two longest warmers were pink. How much longer was the combined length of the pink warmers than the length of the blue warmer?

Answers

Answer: The answer is 8

Step-by-step explanation:

It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1

2

+

4 1

2

=

17

Calculation steps:

12 1

2

+

4 1

2

=  (12 + 4) + (

1

2

+

1

2

)

=  16 +

1 + 1

2

=  16 +

2

2

=  16 +

2 ÷ 2

2 ÷ 2

=  16 +

1

1

= 8 hope this helps

Answer:

Answer is 8

Step-by-step explanation:

I know because I got the answer right!

Kelly is going two work two part-time jobs during the school year. When she works for her dad, she will make $8.00 per hour. When she works at a day care center, she will make $14.00 per hour. To pay her car payment, Kelly needs to make at least $84.00 a week and can work no more than 10 hours total per week. Write an inequality to represent the difference combinations of hours working for her dad,X, and hours working for the daycare center,Y, Kelly can work if she wants to earn at least $84 per week

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours Kelly works for her dad per week and y represent the number of hours Kelly works in the daycare center per week.

Since she wants to make $84 per week, hence:

8x + 14y ≥ 84     (1)

Also, she can work a maximum of 10 hours per week, hence:

x + y ≤ 10           (2)

Using equation 1 and 2 and plotting the constraints on geogebra online graphing tool, the solution to the problem is at points:

A(0, 6), B(0, 10) and C(9.3, 0.7)

can someone pls help for brainlest

Answers

Answer:

I think it 1188mm but not that sure if someone can double make sure

Answer:

382.50

Step-by-step explanation:

Area of the Shaded region = Area of the larger triangle - Area of the smaller triangle;

Let's find the area of the large triangle first;

A = 1/2(base) * (height)

A = 1/2(33) * (33)

A = 16.5 * 33

A = 544.5

Now let's find the area of the small triangle;

A = 1/2(base) * (height)

A = 1/2(18) * (18)

A = 9 * 18

A = 162

Area of the shaded region;

=> 544.5 - 162

=> 382.5 (if rounded to the nearest hundredths, 382.50)

Hope this helps!

A ball was kicked off a picnic table at the park and its height, h, in metres, above the ground after time, t, in seconds, is represented by h = 0.5 + 16t- 2t^2.

a) What is the height of the picnic table?

b) Complete the square to determine the maximum height of the ball? ​

Answers

Step-by-step explanation:

the picnic table height is 0.5 because it's the constant

and the maximum height is 28

my answer is in the image above

What is the obesity threshold weight for a young adult American male?

Answers

Answer:

If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.

Step-by-ste

Answer:

218.7 lbs is your answer

help pls. cant figure it out

Answers

Answer:

m=3

Step-by-step explanation:

add the m on the right side, 4m+3=15

subract the 3 on the left side, 4m=12

divide by four to isolate m, m=3

Answer:

[tex]3m+3=15-m[/tex]

[tex]3m+3=-m+15[/tex]

[tex]3m+m=15-3[/tex]

[tex]4m=12[/tex]

[tex]Divide\ both\ sides \ by\ 4[/tex]

[tex]\frac{4m}{4} =\frac{12}{4}[/tex]

[tex]\boxed{\boxed{\underline{\textsf{\textbf{m=3}}}}}[/tex]

-------------------------hope it helps...have a great day!!

The figure shows two parallel lines cut by a transversal. what is the measure in degrees of angle ABC?

Answers

Answer:

70

Step-by-step explanation:

2x and (4x-70) have the same measurements.

Set your formula up as

2x = 4x-70

2x-4x=-70

-2x=-70

x=35

Now substitute 35 in place of x

2x = 2*35 = 70

4x-70 = 4*35 - 70 = 70

what is the solution to x^2 + 6x +7

Answers

Answer:

D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]

Step-by-step explanation:

[tex]x^2+6x+7=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]

[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully

[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]

[tex]x=-3\pm\sqrt{2}[/tex]

What expression represents 7 less than the product of 11 and 4

Answers

Answer:

(11*4)-7=37

Step-by-step explanation:

Answer:

(11 × 4) - 7

37

Step-by-step explanation:

7 less than 11 × 4

(11 × 4) - 7

44 - 7

37

Answer the question. Will give Brainliest to whoever gets it right.

Answers

Answer:

27 feet

Step-by-step explanation:

they go 27 feet because 15+6+6=27

which of the following are solutions to the quadratic equation? x^2+3x-10=0

Answers

Answer:

-5 and 2

Step-by-step explanation:

That is where it intersects on the x-axis, so therefore it is the solution.

Could someone please help me with this?

Answers

Answer:

Equal

Equal

Equal

Supplementary

Step-by-step explanation:

Just learn the angles tbh, you will need them in the future

What is the measure of <JHM

25
45
50
90​

Answers

45 of course because it measured higher then others and it’s the systems of odd numbers

A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?

Answers

Answer:

$5.20

Step-by-step explanation:

A dozen is 12, so multiply by two.

2.60 * 2 = $5.20

Answer:

5.20 for 12

Step-by-step explanation:

2.60 for 6

2.60*2=12

5.20 for 12

can someone pls help for brainlest

Answers

Answer:

The answer to the question is B,2:55

Answer:

2:55 B

Step-by-step explanation:

Each number 1 2 3 etc are counting by 5's. 11, five times is 55. It cannot be D because the shorter needle determines the hour and the longer one is on 11. It can't be A because counting by 5 starts with 1 not 12 it rotates clockwise not anti-clockwise. It can't be C because for it to be 50, it would need to be on the 10 not on 11.

may anyone help me please and thank you so much !

Answers

Answer:

16 m

Step-by-step explanation:

The situation can be solved by proportion of corresponding sides in 2 right triangles.

let x be the length of shadow cast by oak tree, then

[tex]\frac{9}{12}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

9x = 144 ( divide both sides by 9 )

x = 16

Length of shadow is 16 m

pls help its my last day of school and a have only a few mins to submit

Answers

Answer:

slope = 1/2

y intercept = 2

slope intercept form = y = 1/2x + 2

Step-by-step explanation:

Answer:

Slope: 2

y-intercept: 2

Slope intercept form: y=2x+2

Step-by-step explanation:

Hope this helps!

Write an equation of the line that passes through (5,0) and is parallel to the line
y = -3x + 2

Answers

Answer:

y=-3x+15

is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2

Step-by-step explanation:

find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.

hope this helps

I really need the answer now pls help me asap!!

Answers

Answer:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

Step-by-step explanation:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

Solve the equation for x.

Answers

Answer:

x = 7

Step-by-step explanation:

2x + 34 = 4x + 20

2x = 14

x = 7

Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?

Answers

Answer:

0.05n + 0.25q = 1.60

q = 3n

0.05n + 0.25(3n) = 160

0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals

5n + 75n = 160...answer D

Step-by-step explanation:

(meow) <3

David participating in a 6-day cross-country biking challenge. He biked for 65, 56, 57, 58 , and 67 miles on the first five days. How many miles does he need to bike the last day so that his average (miles) per day ?

Answers

Answer:

Hi

Step-by-step explanation:

Please like I am noob I neeed brainliest

Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement. How should this be interpreted?
A. The system of equations has infinitely many solutions.
B. The system of equations has no solution.
C. The system of equations is unsolvable.
D. The system of equations has been solved incorrectly.

Answers

Step-by-step explanation:

C. The system of equations is unsolvabl

either a or b since its cancelling out

In a (Gallup poll, 26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30, which is classified as obese. The 5000 people polled are a random sample of adults, aged 18 and older, from the United States population. Choose the correct interpretation for the 98% confidence interval for the proportion of the population who arc obese? A. The proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805. B. We are 98% confident the proportion of adults polled who are obese is between 0.2515 and 0.2805. C. In 98% of all samples, the proportion of adults polled who are obese will be between 0.2515 and 0.2805. D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.

Answers

Answer:

D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.

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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30

This means that [tex]\pi = 0.266, n = 5000[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 - 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2515[/tex]

The upper limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 + 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2805[/tex]

The correct interpreation is that we are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805, which means that the correct answer is given by option D.

Please help asap!! I will mark you as brainliest :)

Answers

Answer:

3, 0, -5, -6

Step-by-step explanation:

7)

when x= -8, f(x) = 8-5 or 3

when x= -5 f(x) = 5-5 or 0

when x= 0, f(x) = 0-5 or -5

when x=1, f(x) = -1-5 or -6

Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. a) Write an equation that can be used to find B, her account balance after t years. b) Find the amount in her bank account after 6 years to the nearest cent

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

figure B is a scaled copy of figure A. What is the scale factor from figure A to B​

Answers

The scale factor from Figure A to Figure B is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is the scale factor
Let
z-----> the scale factor
In this problem

substitute values

the scale factor is less than 1
therefore
is a reduction
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