The rectangle shown has a perimeter of 54 cm and the given area. Its length is 3 more than twice its width. Write and solve a system of equations to find the dimensions of the rectangle. The length of the rectangle is _ cm and the width of the rectangle is _ cm.

Answers

Answer 1

Answer:

length of the rectangle is 19 cm and the width of the rectangle is 8 cm.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2L + 2 W

Where:

L = length and W = width

The rectangle shown has a perimeter of 54 cm

Its length is 3 more than twice its width.

2L + 2W = 54 .... Equation 1

"length is 3 more than twice its width."

L = 2W + 3.....Equation 2

Substituting 2W + 3 for L

We have:

2L + 2W = 54 .... Equation 1

2(2W + 3) + 2W = 54

4W + 6 + 2W = 54

6W = 54 - 6

6W = 48

W = 48/6

W = 8cm

L = 2W + 3.....Equation 2

L = 2(8) + 3

L = 16 + 3

L = 19 cm

Therefore:

length of the rectangle is 19 cm and the width of the rectangle is 8 cm.


Related Questions

Which of the following can be used to prove that triangle ABC is congruent to triangle DEF?

Answers

Answer:

SAS congruence theorem

Step-by-step explanation:

since we are given the two congruent sides and the right angle. We know all right angles are congruent and the right angle is an angle that is between the two sides which is why it is SAS. hope this helps :))

A. 1
B. .5
C. .55
D. .10
E. 1.10

Answers

Answer:

E

Step-by-step explanation:

The onlt one that makes sense

E is the correct answer . Hope u got it correct

Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]

Answers

Answer:

9/70

Step-by-step explanation:

Mathematically;

Average rate of change on an interval [a,b] is;

f(b) - f(a)/b-a

f(0) = -3/5

f(3) = -3/14

a = 0

b = 3

Making the substitution, we have

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

What is the reciprocal of 2 4/5 ?​

Answers

Answer:

5/14

Step-by-step explanation:

Answer: 14/5.

Step-by-step explanation;

The reciprocal of 2-4/5 can be found by multiplying the whole number (2) by the denominator (5) and then add the amount to the numerator (4), this will give you fourteen, which is now the numerator of the reciprocal fraction. The denominator will stay the same, so the reciprocal of 2-4/5 is 14/5.

Solve Each Equation

5. -8(5+4x)=-232

6. -84=4(4r+7)

Answers

Step-by-step explanation:

5.

[tex] - 8(5 + 4x) = - 232[/tex]

[tex] - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6[/tex]

6.

[tex] - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7[/tex]

Hope this helps you

2(x-5)=10 but the pemdas is backwards

Answers

Answer:

2 (x-5) = 10

2x-10 = 10

2x = 10 + 10

x = 20/2

x = 10

Step-by-step explanation:

A crew of highway workers paved 13 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?

Answers

Answer:

Step-by-step explanation:

in one hour if i am correct they will pave 0.928 or 0.930 miles

The Davis family traveled to Silver Lake in five hours. Their return trip took StartFraction 7 Over 8 EndFraction of the time it took to travel to the lake. How long did the return trip take?

Answers

Answer: Im pretty sure the answer is 4 and 3/8

Step-by-step explanation:

hope this helps!

Answer:

4 and 3/8

Step-by-step explanation:

Plz brainliest

may you plz help this is due today plz i will mark you brainlist

Answers

there you go! thoose are the answers

Answer:

1 whole numbers: 15 134 -18 rational numbers:-1/3 2.4:  2 0.09, 1/9 9/10 91%: 10.5 5/4 1 1/5 100%

Step-by-step explanation:

What is the solution set for 4x - (x + 1) < 5x - 7 ?
A. x < -6
B. x < -8
C. x > 4
D. x > 3​

Answers

4x - (x + 1) < 5x - 7

4x - x - 1) < 5x - 7

3x - 5x < -7 + 1

-2x < -6

2x > 6

x > 3

Write a linear function f with the values f(−1)=5 and f(3)=4.

Answers

Answer:

1 Expert Answer When they say f(0) = -5 they mean the point (0, -5) is on the line. When they say f(3) = 4 they mean the point (3, 4) is on the line. In y = mx + b form, we would have f(x) = 3x - 5.

Step-by-step explanation:

The function is to be determined from the given points.

The linear function is [tex]f(x)=-\dfrac{1}{4}x+\dfrac{19}{4}[/tex]

The given values are

[tex]f(-1)=5[/tex]

[tex]f(3)=4[/tex]

The ordered pairs are [tex](-1,5),(3,4)[/tex]

The equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\Rightarrow y-5=\dfrac{4-5}{3-(-1)}(x-(-1))\\\Rightarrow y-5=-\dfrac{1}{4}(x+1)\\\Rightarrow y-5=-\dfrac{1}{4}x-\dfrac{1}{4}\\\Rightarrow y=-\dfrac{1}{4}x-\dfrac{1}{4}+5\\\Rightarrow y=-\dfrac{1}{4}x+\dfrac{19}{4}[/tex]

Learn more:

https://brainly.com/question/21637716

https://brainly.com/question/9663794

The ruler below shows a 7-inch segment divided into 2 equal parts. What is the length of one of those parts?

Answers

Answer:

3.5

Step-by-step explanation:

7/3= 3.5 or 3 1/2

Can anybody help me with this plzzz‼️
(If answer is correct i will cashapp you $6)

Answers

Step-by-step explanation:

h(x) = 3. g(x) + 5

x= -1 h(x) = 3×8 + 5= 29

x= 0h(x) = 3×5 + 5= 20

x= 2 h(x) = 3×1 + 5= 8

x= 5 h(x) = 3×-5 + 5= -10

[tex]h(x) = 3*g(x)+5[/tex]

When x = -1.

Substitute x = -1 in both h(x) and g(x).   | As shown in the table, when x = -1, g(x) = 8 |

h(-1) = 3*8+5 = 24+5 = 29

h(0) = 3*5+5 = 15+5 = 20

h(2) = 3*1+5 = 3+5 = 8

h(5) = 3*(-5)+5 = -15+5 = -10

Howie wants to get a $250 loan with a simple interest rate of 4%.

Which expression can be used to find the TOTAL amount that must be repaid on this loan?



1Points
A
250 + 4%

B
250 x 0.04

C
(.04 x 250) + 250

Answers

Answer:

w

Step-by-step explanation:

a

Amani's calculator weighs 7/25 pound. \tVhat is the weight of her calculator expressed as a
decimal?

Answers

Answer:

0.28 pounds

Step-by-step explanation:

Here, we want to get the weight of the calculator expressed as a decimal

Mathematically, what we have to do is to divide 7 by 25

The answer is 0.28 pounds

HELPPPPPPPPPPPP MEEEEEEEEE PLZZZZZZZZZZ it is due soon:'(((((((((( if you answer it correctly ill give you bfrainly

Answers

Answer:

y = 65x + 250

Step-by-step explanation:

Let the linear equation representing the relation between total pay and number of computers sold be,

y = mx + c

Here, m = commission on every computer sold = slope of the linear function

c = weekly salary

y = total pay

x = number of computer sold each week

Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table attached,

Slope of the line passing through (4, 510) and (6, 640),

m = [tex]\frac{640-510}{6-4}[/tex]

   = 65

Equation of the line will be,

y = 65x + c

Since, this line passes through (4, 510),

510 = 65(4) + c

c = 510 - 260

c = 250

Therefore, equation of the line will be,

y = 65x + 250

While practicing her foul kicks for soccer, Louisa made 85% of her shots. If she made 51 shots, how many shots did she kick in total?

Answers

Answer:

the exact answer is 58.65

Step-by-step explanation:

since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things

The answer is 60 because you would do 100 divided by 85 multipled by 51

Please help!!!!
A 1 and 3 only
B 2 only
C 1 and 2 only
D 1 only

Answers

Step-by-step explanation:

D I think sorry if it's wrong :(

Jon is cooking enough lentils for lentil barley soup and lentil salad .The lentil barely soup recipe calls for 1/2 cup of dried lentils. The lentil salad recipe calls for 1 1/2 cups of dried lentils. Jon had 1/8 cup scoop. How many scoops of dried lentils will Jon need to have enough for the soup and the salad

Answers

Answer:

1/8 scoop

Step-by-step explanation:

plz help me put this from least to greatest

Answers

Answer:

0.09

1/9

9/10

91%

there is the answer hope it helps!!!

find the mean median and mode of the data set :15,11,14,10,12,15,15

Answers

Answer:

Mean = 13.14, Median = 14, Mode = 15

Step-by-step explanation:

The mean is the numbers added together divided by the number of numbers

15 + 11 + 14 + 10 + 12 + 15 + 15 = 92

92 / 7 = About 13.14

The median is the middle of the numbers ordered from least to greatest

10 11 12 14 15 15 15

14 is in the middle so that is the median.

The mode is the number showing up the most.

15 shows up 3 times so it is the mode.

Please please help if possible I love you thank you so much!!!❤️❤️❤️ due really soon

Answers

Step-by-step explanation:

There is no question here

Answer: Help with what? You forgot to link your question

Step-by-step explanation:

Which expressions are equivalent to 3.64? Check all that apply. 1 36.4 + 10 36.4 x 10 0 0.0364 x 100 [(3 x 1) + (6 x 0.1) + (4 x 0.01)] x 100 O (3 x 1) + (6 * 0.1) + (4 0.01)​

Answers

Answer:

0.0364 × 100

and

[(3×1)+(6×0.1)+(4×0.01)

Write a linear function to describe the sequence. Explain your function. The first 5 terms of an arithmetic sequence are shown. 5, 2, –1, –4, –7 Write a linear function to describe the sequence. Explain your function.

Answers

Answer:

The linear function is;

Tn-1 = Tn + 3

What this mean is that to get the term before the present term, we add 3 to the present term

Step-by-step explanation:

Here, we want to write a liner function to describe the function

As we can see from the numbers listed,

the next term is simply obtained by deducting 3 from the previous term

We can write this as:

Tn-1 = Tn + 3

Where Tn is the next term and Tn-1 is the previous term

What the function is saying is that to get the term before the present term, we add 3 to the present term

Which is an equation of a direct proportion?

A. =1/3−2
B. =3/
C. =−3+4
D. =−3

Answers

Answer:

D. y=-3x

Step-by-step explanation:

Direct Proportion

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

[tex]\displaystyle \frac{y}{x}=k[/tex]

Where k is the constant of proportionality.

Solving for y:

y=kx

The only choice representing a direct proportion is:

D. y=-3x

Answer:

D

Step-by-step explanation:

Determine the solution for the system of equations: y = -2x + 1 3x - 2y = 5 A. (1, -1) B. (-1, 1) C. (-1, 0) D. No Solution

Answers

Answer:

Step-by-step explanation: d

2. (05.02 LC) Which equation does the graph below represent? (5 polnts) 8 2 .2 O y = 2x Y = 2 x y = 2 + x​

Answers

Answer:

b

Step-by-step explanation:

Wooden ate breakfast at a restaurant. The bill came to $34.76. If he left a 15% tip, what was his total bill? $

Answers

Answer:

Tip: $5.22

Step-by-step explanation:

Help! I need help asap

Answers

Answer:

3 looks right but I am not so sure

Step-by-step explanation:

sorry if i am wring

45 WZ is parallel to XY,
SW = 15, WX = 5, SZ =12, WZ= 9 Find XY
S
I
W
Z
Х
Y

Answers

Step-by-step explanation:

wz parallel to XYXYS similar WZSXY/WZ=XS/SWXY/9=20/15XY=12
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