The perimeter of a rectangle is 160 meters. The length is 20 meters greater than the width. Find the dimensions of the rectangle.

Answers

Answer 1
Width=w Length=l Perimeter=p p=2w+2l l=20+w p=2w+20+w+20+w p=4w+40 4w+40=160 4w=160-40=120 w=120:4=30 w=30 l=20+w l=20+30=50

Related Questions

What is 0.4% of 50? Round to the nearest hundredth

Answers

Answer:

0.4% of 50 is 0.2

5 divided by 871 what is the answer

Answers

174.2 just long divide or type it in the calculator sorry

Answer:

174.2

Step-by-step explanation:

Which of the following statements justifies why the triangle shown below is
not a right triangle?
A. BC + AC > AB
B. AC< AB
C. BC < AB
D. 5^2+10^2 ≠ 12^2

Answers

D

because it does not abide by the pythagorean theorem

a^2 + b^2 = c^2

in this case:
5^2+10^2 ≠ 12^2
25+100≠144
125≠144

Therefore D shows that the triangle isn’t a right angle triangle.

The statement that justifies why the triangle shown below is not a right-angle triangle is [tex](5)^{2} + (10)^{2}[/tex] ≠ [tex](12)^{2}[/tex]

What is a right-angle triangle?

A right-angle triangle is a triangle that has a right-angle.

Here, the sides of the triangle are 5, 10, and 12.

As per Pythagorean theorem for a right-angle triangle,

(Base)² + (Height)² = (Hypotenuse

Now, for the given triangle:

[tex](5)^{2} + (10)^{2}[/tex]

[tex]= 25 + 100\\= 125\\= 11.18[/tex]

≠ [tex](12)^{2}[/tex]

Therefore, the given triangle is not a right-angle triangle.

Learn more about a right-angle triangle here: https://brainly.com/question/3770177

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The altitude of Object B is 16 times the altitude of Object A. The altitude of Object A is 4 ଷfeet. What is the altitude of Object B? Write your answer as a power.

Answers

Answer:

[tex]B=4^{3} feet[/tex]

Step-by-step explanation:

The altitude of B = 16A and we now that A = 4 feet.

Finally B will be:

[tex]B=4^{2}*4=4^{3} feet[/tex]

I hope it helps you!

hey yall i need help pls dont flag me neither

Answers

It’s d since it’s asking about origin

Answer:

d

Step-by-step explanation:

You have $2.65 in coins. Which system of equations could represent this situation, using variables to represent the number coins? x+y=11 and 25x+5y=265; x= number of quarters and y= number of nickels. x+y=12 and 25x+5y=265; x= number of quarters and y= number of nickels. x+y=13 and 25x+10y=265; x= number of quarters and y= number of dimes. x+y=12 and 25x+10y=265; x= number of quarters and y= number of dimes.

Answers

Answer:

x+y=13 and 25x+10y=265;

x= number of quarters and y= number of dimes.

Step-by-step explanation:

marked as right

The solution is Option A and Option C.

x + y = 11 and 25x + 5y = 265

x = number of quarters and y = number of nickels

x + y = 13 and 25x + 10y = 265

x = number of quarters and y = number of dimes

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be A = $ 2.65

The value of 1 nickel = $ 0.05

The value of 1 dime = $ 0.10

The value of 1 quarter = $ 0.25

Now , the equation will be

a)

x + y = 11 and 25x + 5y = 265

x = number of quarters and y = number of nickels

On simplifying the system of equations , we get

25x + 5y = 265   be equation (1)

5x + 5y = 55    be equation (2)

Subtracting (2) from equation (1) , we get

20x = 210

x = 10.5

So , the value of y = 0.5

Substituting the value of x and y in equation (1) , we get

25 ( 10.5 ) + 5 ( 0.5 ) = 265

262.5 + 2.5 = 265

265 = 265

Therefore , the system of equations satisfies the conditions

c)

x + y = 13 and 25x + 10y = 265

x= number of quarters and y= number of dimes

On simplifying the system of equations , we get

25x + 10y = 265   be equation (1)

10x + 10y = 130    be equation (2)

Subtracting (2) from equation (1) , we get

15x = 135

x = 9

So , the value of y = 4

Substituting the value of x and y in equation (1) , we get

25 ( 9 ) + 10 ( 4 ) = 265

225 + 40 = 265

265 = 265

Therefore , the system of equations satisfies the conditions

Hence , The solution is Option A and Option C.

x + y = 11 and 25x + 5y = 265

x = number of quarters and y = number of nickels

x + y = 13 and 25x + 10y = 265

x = number of quarters and y = number of dimes

To learn more about equations click :

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7x+13=97 please hurry

Answers

Answer:

x+12

Step-by-step explanation:

7x+13=97

   -13   -13

7x=84

/7   /7

x=12

How is rewriting literal equations useful when solving problems

Answers

Rewriting literal equations is useful when solving problems by helping us get more organized with the problem. If the problem is organized, than it is much easier to solve. (I hope this answered your question)

6a-5b=9 2a+5b=23 using the addition method

Answers

Answer:

a = 4

b = 3

:))

¿Puedes encontrar las dimensiones de un prisma rectangular diferente que tenga el mismo volumen?​

Answers

Answer:

Use synthetic substitution to find the value of k such that (x3 + 4x2 + x + k)

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.


Square root of x+7-1=x

Answers

the square root is 8 the comment above is how you do the work^

Determine the intercepts of the line.
y = 8x – 18
y-intercept:
x-intercept:

Answers

Step-by-step explanation:

for y-intercept

x=0 so,

y=8 (0)-18

y=0-18

y= -18

for x-intercept

y=0 so,

0=8x-18

8x=18

x=2.25

Locate the vertex and the axis of symmetry of the quadratic graph y = 7 * (x - 4) ^ 2 - 5 . Determine the range.

Answers

Answer:

The vertex is (4,-5) and the axis of symmetry is x = 4. The range is all real numbers

Step-by-step explanation:

vertex is calculated by -b/2a so the vertex would be -5/2(2) which is equal to (4,-5).

The axis of symmetry is the x number in the vertex so it would be x = 4.

Answer:

vertex is (4, -5)

Step-by-step explanation:

given:

y = 7 * (x - 4) ^ 2 - 5

find:

Determine the range.

y = 7 * (x - 4) ^ 2 - 5

rewrite in the form of y = ax² + bx + c

y = 7x² - 56x + 107

the parameters are:

a = 7

b = -56

c = 107

Xv = - ( - 56 )

           2 * 7

simplify:

Xv = 4

plugin values into Yv

Yv = -5

therefore the vertex is (4, -5)

1). 10 = 4x +x

2). -6 = -2x -5 -1

3). -15 = 2v +v

4). -6 = 2v +4v

5). -2x +x = 5

6). -a -a = -8

7). -5p -6p = 0

8).-3k -6k = -9

9). 38 +7x = 5(1+8x)

10). -30 -8x = -6(x+5)

11).4(-4n+12)= 3(n-3)

12). 2(5+5x) = 8(x+1)

explain step by step plzzz

Answers

Answer:

Step-by-step explanation:

Which statement about the rectangular prism is true? The prism is a cube for all values of x. The prism is a cube when x=2. There is no value of x for which the prism is a cube.

Answers

Answer: The prism is a cube when x=2

Step-by-step explanation:

A cube must have all equal sides/lengths

Side 1. 2( x+1)

Side 2. 3x

Side 3. 2

2 (2+1)=6

3(2)=6

2(2)+2=6

3 times the sum of x and 6 equals 10 times the difference of x and 1.

Answers

3(x + 6) = 10(x - 1)

Answer:

3(x+6)=10(x-1)

Step-by-step explanation:

That's it

On Tuesday mark bought ten comic books on Wednesday half of all of his comics that we had were destroyed on Thursday there were only 14 left how man comic books did he have on Monday

Answers

The answer is 12 comic books

Find the median of the following data:
19, 21, 18, 17, 18, 22, 46
Median
Your answer

Answers

Answer:19

Step-by-step explanation:

17,18,18,19,21,22,46

The median of the given sequence i.e. 17,18,18,19 21,22,46 should be considered as the 19.

Calculation of the median:

Since the given sequence  is 17,18,18,19 21,22,46

There is total 7 numbers

So for that we have to apply the below formula

[tex]= ( n + 1) \div 2 \\\\= ( 7 + 1) \div 2\\\\= 8 \div 2[/tex]

= 4th term

So here the fourth term should be 19

hence, The median of the given sequence i.e. 17,18,18,19 21,22,46 should be considered as the 19.

Learn more about median here: https://brainly.com/question/24520301

B is a diameter of a circle, center O.

C is a point on the circumference of the circle, such that ∠CAB = 2 × ∠CBA

What is the size of ∠CBA

Answers

Answer:

cab =2acdhuajsjsidbjxjdbiss

25% of a university's freshman class are majoring in Engineering. If 500 students in the freshman class are Engineering majors, how many students are in the freshman class?

Answers

Answer:

2000

Step-by-step explanation:

100/25=4

500*4=2000

Assume that y varies directly with x, then solve.
if y=-6.6 when x=9.9, find y when x=6.6​

Answers

Answer:

y = - 4.4

Step-by-step explanation:

Given that t varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 6.6 when x = 9.9 , that is

- 6.6 = 9.9k ( divide both sides by 9.9 )

k = [tex]\frac{-6.6}{9.9}[/tex] = - [tex]\frac{2}{3}[/tex]

y = - [tex]\frac{2}{3}[/tex] k ← equation of variation

When x = 6.6, then

y = - [tex]\frac{2}{3}[/tex] × 6.6 = - 2 × 2.2 = - 4.4

Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds

Answers

Answer:

Emily won the race; she finished 1.9 seconds ahead of John.

Note: The question is incomplete. The complete question is given below:

Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds.

John's run

A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 35, 47.5, 60, 72.5.

Emily's run

A graph titled Emily's Run has time (seconds) on the x-axis and Distance (meters) on the y-axis. Points are at (4, 32), (6, 48), (8, 64), and (10, 80)

Step-by-step explanation:

Step 1: Since, they ran at a constant speed, first, we calculate John's speed ;

Speed = (change in distance)/(change in time)

John's Speed = (72.5 - 60)/(10 - 8) = 6.25 m/s  

Step 2: Then, we calculate Emily's speed;

Speed = (change in distance)/(change in time)  

Emily's Speed = (80 - 64)/(10 - 8) = 8.00 m/s

Also, it was stated that Emily gave John a 10 m head start, therefore, John ran a distance of 90 m at 6.25 m/s  while Emily ran a distance of 100 m at 8.00 m/s

Step 3: Time taken by both runners

Time = (Distance/Speed)

Time taken by John; time = (90/6.25) = 14.4 s  

Time taken by Emily,  Time = (100/8.00) = 12.5 s  

Therefore, Emily won the race since her time to complete the race was shorter. She won the race by (14.4 - 12.5) = 1.9 s

Emily and John each ran at a constant speed for a 100-meter race. Emily gave John a 10-meter head start. Use the given data below to determine who won the race and by how many seconds.

✔ Emily

won the race by about

✔ 2

seconds.

Can someone PLEASE HELP this is due by the end on today and i cant figure out the First one and third one. In the first one we don´t know how many pizzas they got so i know the equation is NOT 10+5=15

Answers

Answer:

A) C= 10x +5

C) The slope is the delivery cost per pizza without the additional delivery charge.

Step-by-step explanation:

Please see the attached picture.

find the following quantity do not round you answers 75.5% of 299.8 ​

Answers

Answer:

226.349

Step-by-step explanation:

googled it lol

he equation can be used to find the measure of angle LKJ.

Triangle L K J is shown. Angle J L K is a right angle. The length of L K is 7.7 centimeters and the length of L J is 8.9 centimeters. Angle L K J is x.

What is the measure of angle LKJ? Round to the nearest whole degree.

41°
45°
49°
55°

Answers

Answer:

49degrees

Step-by-step explanation:

Got it right on Edge

What is the remainder when the sum of the smallest prime number and the second smallest prime number is divided by the third smallest prime number

Answers

Given:

The sum of the smallest prime number and the second smallest prime number is divided by the third smallest prime number.

To find:

The remainder.

Solution:

Prime numbers are the numbers which are divided by only 1 or itself.

Smallest prime number = 2

Second smallest prime number = 3

Third smallest prime number = 5

The sum of the smallest prime number and the second smallest prime number is divided by the third smallest prime number.

[tex]\dfrac{2+3}{5}=\dfrac{5}{5}[/tex]

[tex]\dfrac{2+3}{5}=1[/tex]

Since 5 is completely divided by 5, therefore, t he remainder is 0.

Pls Help me I am really stuck 10 points

Answers

Answer:

2) x=6 3) x=4 m<EFH=21 m<EFG=83

Step-by-step explanation:

2) Basically they're giving you two parts of a whole angle. The entire angle is 127 degrees, split into two parts. one part being 83 degrees and the other is (9x-10). the way you solve for X is by making it into an equation. Angle JKM + angle MKL = angle JKL. So substitute the values they gave you into the one we just made.

(9x-10) + 83 = 127 then solve for x.

9x-10+83=127

9x+73=127

9x=54

x=6

3) this question is the same thing but now theres a variable on both sides of the equation. angle EFH +angle HFG = angle EGF. substitute then solve for x

(5x+1) + 62 = 18x+11

5x+63=18x+11 move the x variables to one side

52=13x

x=4

for the rest of the angles just plug in the x value to the equations for the smaller angles

m<EGF:

18x+11

18(4)+11= 83

m<EFH

5x+1

5(4)+1= 21

I need help on this please give me answer

Answers

Answer:

4

Step-by-step explanation:

[tex]\left(15-9\right)^2\div \left(5+4\right)[/tex]

Using PEMDAS, we solve the brackets first.

[tex]6^2\div \left(5+4\right)[/tex]

[tex]6^2\div \:9[/tex]

Then, we solve the exponents.

[tex]36\div \:9[/tex]

Finally, we divide.

[tex]4[/tex]

Answer:

4

Step-by-step explanation:

you do what is in the parentheses  first so 15-9=6 and 5+4=9 so whats left is the exponent. The exponent is 2 so what is 6x6=36 divided by 9 =4

Hope this helps

Equation: t= 25 +8.25w, where w is the number of
weeks and tis the total Aaliyah saved.
What is the error that occurred when Aaliyah completed
her table?

Answers

Answer:

C

Step-by-step explanation:

Answer:

C on edge 2020

Step-by-step explanation:

Equation: t = 25 + 8.25w, where w is the number of weeks and t is the total Aaliyah saved.

What is the error that occurred when Aaliyah completed her table?

A/The table must start at week 1.

B/The w and t columns need to be switched.

C/The ordered pair (132.25, 13) should be (13,  132.25).

D/25 + 8.25(15) = 148.75 in week 15 is not calculated correctly.

Solve for all solutions of the equation. x3 - 8 = 0

Answers

Answer:

x3=0+8

×3=8

x=8/3

Step-by-step explanation:

Answer:

x = 2, -1+i√3, −1−i√3

Step-by-step explanation:

Factoring the left side of the equation:

x^3−2^3=0

(x−2)(x^2+x⋅2+2^2)=0

(x−2)(x^2+2x+2^2)=0

(x−2)(x^2+2x+4)=0

x−2=0

x^2+2x+4=0

First solution:

x−2=0

x=2

Second and third solution:

x^2+2x+4=0

−2±√2^2−4⋅(1⋅4)/2⋅1

x=−2±2i√3/2⋅1

x=−2±2i√3/2

−2±2i√3/2  

x=−1±i√3

x=−1+i√3

x=−1−i√3

x=−1+i√3,−1−i√3

Final answer:

x=2,−1+i√3,−1−i√3

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