Suppose that a rectangular piece of glass has a perimeter of 20 meters. If we multiply both its length and its width by 4, what will be the perimeter
of the new rectangular piece of glass?
A) 65 m
B) 80 m
C) 34 m
D) 45 m

Answers

Answer 1

Answer:

B) 80 m

Step-by-step explanation:

Let W = width

Let L = length

perimeter of a rectangle = 2 x width + 2 x length = 2(W + L)

If the perimeter of a rectangle = 20 m

⇒ 2(W + L) = 20

If we multiply both its length and width by 4:

Width = 4W

Length = 4L

⇒ perimeter = 2(4W + 4L) = 8(W + L)

As 2(W + L) = 20

Then 8(W + L) = 4 x 2(W + L) = 4 x 20 = 80 m


Related Questions

Only the king of math can solve this and will give them brainliest

Answers

Answer:

Let the base of the triangle = X

then, X = 110 cos(32)

then , h^2 = 110^2 - (110cos(32))^2then h = 58.3

C. Multiple Choice. Read each Item Carefully. Choose the letter of the correct answer then write it on the
space provided for. (Use figures 1, 2 and 3 for item #s 11-15.)
figure 1 figure 2 figure 3

___________11. What is the side corresponding to PO in ΔPOG ≅ ΔSOR (figure 1)?
A. OS B. RD C. RS D. SO
____________12. Name the congruent triangle illustrated in figure 1
A. ΔFOG ≅ ΔSOR B. ΔPOG ≅ ΔROS C. ΔROS ≅ GOS D. ΔPOR ≅ ΔGOS
____________13. What is the triangle congruence postulate used in figure 2 based on its marking.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
____________14. Based on the given marking in figure 3, what is the triangle congruence postulate is used in
describing triangle.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
___________15. In figure 3, If triangle ΔABC ≅ ΔXYZ. What is the congruent angle of ∠A?
A. ∠B B. ∠X C. ∠Z D. ∠B

Answers

Congruent triangles have congruent corresponding sides and angles, while similar triangles may or may not be congruent

Corresponding side of PO

The congruence statement is given as:

ΔPOG ≅ ΔSOR

The above means that:

Points P, O and G correspond to the points S, O and R

Hence, the corresponding side of PO in ΔPOG ≅ ΔSOR is SO

The congruent triangles

The congruence statement is given as:

ΔPOG ≅ ΔSOR

Hence, the congruent triangles are ΔPOG ≅ ΔROS

The congruent postulate

In figure 2, we have:

2 congruent sides, and 1 congruent angle between the congruent sides

Hence, the congruence postulate is SAS

Congruent angles

The congruence statement is given as:

ΔABC ≅ ΔXYZ

The above means that:

Point A corresponds to the point X

Hence, the congruent angle of <A is <X

Read more about congruent triangles at:

https://brainly.com/question/1675117

An estimated 3 out of every 25 men are left-handed.
What percent of men are left-handed?

Answers

Answer:

12%

Step-by-step explanation:

I need help on this whole assignment

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

If you have more questions I can try and help

Please please please please please help

Answers

Answer:

a) 1000000 grams

b) 1300000 grams

Step-by-step explanation:

a) 1000 x 1000 = 1000000 grams

b) 1.3 x 1000000 = 1300000 grams

hope this helps! :)

Answer:

it's 1,300,000 grams

Step-by-step explanation:

based on the rule

Which symbol replaces the box to make the statement true? 4. 16 – 16 04. [24 – 2. (4+8)] ( A​

Answers

Answer:

More than sign as the first equation will give 40 whereas the second one is 0 so the first equation is larger

Therefore more than

3x+12y=-8 in slope intercept form

Answers

Answer:
y= -1/4x - 2/3
Step-by-step explanation:
You subtract the 3x on both sides. Then you would get 12y=-3x-8. From there, you would divide both sides by 12. Your finally answer would be above. Hope this helps

Answer:

[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]

Step-by-step explanation:

Hi there!

We are given the equation 3x + 12y = -8 and we want to convert it into slope-intercept form

The equation is currently in standard form, which is ax+by=c, where a, b, and c are free integer coefficients

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept

Notice that in standard form, the terms containing x and y are both on the same side, but in slope-intercept form, the expression is set equal to y (x is on the other side)

So first, we'll need to subtract 3x from both sides to remove it from the left side.

3x + 12y = -8

-3x            -3x

_______________

12y=-3x-8

Now divide both sides by 12, since we want to isolate y by itself (it's a bit like solving the equation for y)

12y=-3x-8

÷12   ÷12

___________

y=-3/12x -8/12

We can simplify the fractions to get:

[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]

This is our final answer.

Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/11735196

A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects 10 cans at random, measures their contents, and computes a 95% confidence interval for the true mean volume. For one particular hour, the 95% confidence interval is 11.97 ounces to 12.05 ounces.
a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12 ounces? Explain your answer.
b. Does the confidence interval provide convincing evidence that the true mean volume is 12 ounces? Explain your answer.

Answers

According to the given confidence interval, we have that:

a) Since 12 ounces is part of the confidence interval, the interval does not provide convincing evidence that the true mean volume is different than 12 ounces.

b) Since 12 ounces is part of the confidence interval, the interval provides convincing evidence that the true mean volume is 12 ounces.

What is the hypothesis tested?

It is being tested if the true mean volume is different of 12 ounces, hence:

If the confidence interval contains 12 ounces, it provides convincing evidence that the true mean volume is 12 ounces.If the confidence interval does not contain 12 ounces, it provides convincing evidence that the true mean volume is not 12 ounces.

In this problem, the interval is (11.97, 12.05), hence it provides convincing evidence that the true mean volume is 12 ounces, and basically, item a is False and item b is True.

You can learn more about confidence intervals at brainly.com/question/16236451

9. The 8 grade class is selling pennants and flags. They earn $1 for each pennant
sold and $6 for each flag sold. They sell 50 items and earn $115. How many
pennants and how many flags did they sell?

Answers

Given :

The 8 grade class is selling pennants and flags.They earn $1 for each pennantsold and $6 for each flag sold. They sell 50 items and earn $115.

To Find :

How many pennants and how many flags did they sell?

Solution :-

Let us take that ,

→ number of flags sold = f

→ number of pennant sold = p

Money earned by selling flags

→ Money = $6 * f = $6f

Money earned by selling pennants

→ Money = $1*p = $1p

Total money earned

→ Total Money = $6f + $1p

Total items sold

→ Total items = f + p = 50 . . . . . (i)

According to the question ,

→ 6f + p = 115 . . . . . (ii)

Solving equations (i) and (ii) ,

On subtracting them ,

→ 6f - f = 115 -50

→ 5f = 65

→ f = 65/5

f = 13

Substitute this in equation (i) ,

→ 13 + p = 50

→ p = 50 -13 = 37

Hence they sold 13 flags and 37 pennants .

I hope this helps .

Claudia school is selling tickets to a spring musical. On the first day of tickets sales the school sold 3 senior citizen tickets and 9 child tickets for a total of 75$ The school took in 67 on second day by selling 8 senior citizen tickets and 5 child tickets.what price each of one senior citizens ticket and one child ticket

Answers

Answer:

One senior citizen ticket costs 4 dollars and one child ticket costs 7 dollars

Step-by-step explanation:

Let x be the cost of a senior ticket and y be the cost of a child ticket then...

3x+9y=75

8x+5y=67

We can simplify the first equation by dividing everything by 3...

x+3y=25

Now, isolate x by subtracting 3y from both sides

x=25-3y

We can solve this system of equations using substitution (substitute 25-3y for x)...

8(25-3y)+5y=67

200-24y+5y=67

Combine like terms

-19y+200=67

Subtract 200 from both sides

-19y=-133

Divide both sides by -19

y=7

Plug 7 back in for y to solve for x

x=25-3(7)=25-21=4

One senior citizens ticket costs 4 dollars and one child ticket costs 7 dollars.

what is 1 + 1 and why? How do you know? Does it have multiple ways to answer it?

Answers

Answer:

2

Step-by-step explanation:

if you have one chip and add another chip then you have 2 chips

find x and y by using substitution
y= -2x+4
y= 6x-20

Answers

Answer:

x = 3

y = -2

Step-by-step explanation:

Substitute -2x+4 for y:

-2x+4=6x-20

Subtract 6x from both sides

-8x+4=-20

Subtract 4 from both sides

-8x=-24

Divide both sides by -8

x=3

Plug 3 in for x to solve for y:

y=-2x+3=-2(3)+4=-6+4=-2

(x, y)=(3, -2)

Triangle ABC is right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. What is the length, in centimeters, of the other leg?

Answers

The length of the other leg of the right triangle is; 89.44 centimetres

Right triangles and the Pythagoras theorem

According to the question;

We are required to determine the length, in centimetres of the other leg of the right triangle.

By the Pythagoras theorem;

Hyp² = Opp² + Adj²

Hence, It follows that;

120² = 80² + X²

x² = 14400-6400

x² = 80,000

Find the square root of both sides of the equation;

x = √80,000

x = 89.44 centimeters

Read more on Pythagoras theorem;

https://brainly.com/question/343682

HELP HOW DO I DO THIS

Answers

Answer:

x = 35°

Step-by-step explanation:

The three angles in a triangle add up to 180°.

The little square in the corner of one angle means that is a right angle and is 90°.

90° + 55° + x = 180°

145° + x = 180°

Subtract 145° from both sides.

x = 180° - 145°

x = 35°

help!!!! please answer!!! ​

Answers

Answer:

116

Step-by-step explanation:

3 to the power of 4 is 81. 7x5 =35+81=116

Which one is it, I need help

Answers

Answer:

Their y-intercepts are equal

Step-by-step explanation:

The y-intercept is the y-value where the function crosses the y-axis. In this problem, functions are presented in 2 ways: algebraically and in a table.

1) Fortunately, the algebraic equation is written in slope-intercept form; this means that intercept is easy to find. The slope-intercept form is y=mx+b, where b is the y-intercept. In function 1, the b value is 10.

2) Another way to describe the y-intercept is the y-value when x=0. So, the y-intercept on a table is wherever the x-value is 0. In this case, the first row represents when x=0. The table says that when x=0, y=10. This means that the y-intercept for function 2 is 10.

Since the y-intercept for both of the functions is 10, it can be said that the 2 functions have equivalent y-intercepts.

In parallelogram GRAM, m

Answers

Answer:

Step-by-step explanation:

20x + 6 What is the constant? Someone please answer, I need this so I can be free and go on my phone again :(

Answers

Answer:

Step-by-step explanation:

The constant is 6

Hope this helps!

The answer to your question is 6.
6 is the constant

Find the inverse of g(x)=1/x-1+2

Answers

Answer:

Find the inverse of g(x)=1/x-1+2 :

[tex]g^{-1} (x)=\frac{1}{x-1}[/tex]

The quotient of 10 and a

Answers

Answer:

10/a

Step-by-step explanation:

There are 26 seventh-grade students going to the big game against County Middle School. If 4 students can ride in one car, how many cars do they need?

Answers

Answer: 7 cars

Step-by-step explanation:

if you divide 26 and 4 it will get you 7

Solve the following system of equations and show all work.
y = −x2 + 4
y = 2x + 1

Answers

If you need more work please comment I will show more!

A caterer charges $250 for 10 meals. They charge the same amount of money for each meal. Which table represents the relationship between the number of meals the caterer prepares and the amount of money they charge?

Number of meals Amount charged (dollars)
10 $250
11 $260
12 $270
13 $280

Number of meals Amount charged (dollars)
9 $250
10 $250
11 $250
12 $250

Number of meals Amount charged (dollars)
5 $50
10 $100
15 $150
20 $200

Number of meals Amount charged (dollars)
2 $50
4 $100
6 $150
8 $200

Answers

The table that represents the  relationship between the number of meals the caterer prepares and the amount of money they charge is:

2 $50

4 $100

6 $150

8 $200

What is the cost of one meal?

In order to determine the correct answer, the average cost of the meal has to be determined.

Average cost = $250 / 10 = $25

Cost of 2 meals = $25 x 2 = $50 Cost of 4 meals = $25 x 4 = $100Cost of 6 meals = $25 x 6 = $150Cost of 8 meals = $25 x 8 = $200

Hi! can someone help ASAP?? will mark brainliest! thanks!

Answers

Answer:

25 for the first one, not too sure though!

Step-by-step explanation:

not sure!

For which type of triangle below would a circumcircle whose diameter coincides with one
side of the triangle?

Answers

Answer:

right triangle

Step-by-step explanation:

A circumcircle of a polygon is a circle that passes through all the vertices of the polygon.

If the diameter of the circle is one side of the triangle, then the triangle is in the semicircle.  

The angle at the circumference in a semicircle is a right angle.

Therefore, the answer is right triangle

Which function has a domain of x greater-than-or-equal-to 5and a range of y less-than-or-equal-to 3?.

Answers

Function's domain is the set of values on which it is defined. One such function having domain x≥ 5 and range y ≤ 3 is: [tex]y = 3 - \sqrt{x-5}[/tex]

What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.

There can be actually infinite functions having same domain and range.

We need to find one function whose domain is x≥ 5 and range is y ≤ 3

Let the function be [tex]y = f(x)[/tex]

For keeping the function not defined for values of x < 5, we need to make such condition such that for values x < 5, the values of the function becomes undefined.

We can use some trick which keeps one sided interval undefined. One such function is the square root function which needs the input to be non-negative,

If we input x-5 to the square root function, then x can't go below 5, as square root of negative values is not defined(if not using complex numbers).

Thus, [tex]\sqrt{x-5}[/tex] is one part of f(x).

Next, we need the output to be limited by 3.

Since the quantity  [tex]\sqrt{x-5}[/tex]  is never negative, so 3 -  [tex]\sqrt{x-5}[/tex]  is never going to be bigger than 3.

Thus, [tex]y = 3 - \sqrt{x-5}[/tex] is one such needed function, having domain x≥ 5 and range y ≤ 3

Learn more about domain and range here:

https://brainly.com/question/26077568

Justin has a savings account.

-He started with $70 in his account.

-He deposits $15 into the account each week.

-Let 'b' represent the amount Justin has in the bank after 'w' weeks.

Which equation represents the total amount Justin will have in his account?

Answers

15w + 70 = b ... i suppose

Select the correct answer.
Vincent borrowed $500 from Mitchell for six months. How much interest will Mitchell earn if he charges Vincent a simple interest rate of 3 percent?

simple interest = P × r × t
A.
$7.50
B.
$15
C.
$75

Answers

Answer:

A

Step-by-step explanation:

I= PRT

[tex]simple \: interest = \frac{500 \times 3 \times 1}{100 \times 2} [/tex]

[tex] = \frac{1500}{200} [/tex]

=$7.50

Prism A and Prism B have the same volume. Which could be the dimensions of prism B?

Answers

is there a picture? or any measurements?

a one year subscription to the monthly magazine cost $ 15.60. The regular newsstand price is 1.95 per issue. How many is saved per issue by paying the subscription price

Answers

Answer: $0.65

Step-by-step explanation:

Amount for the magazine in a regular newsstand for one year:

1.95*12=$23.4

Amount saved per issue with subscription:

(23.4-15.60) ÷ 12 = $0.65 per issue is saved with a subscription

Other Questions
____________________ is how connected people are to one another and to shared ways of thinking and acting. Part 1 of 12The table below shows the length and weight of a species of fish. Complete parts (a) and (b).Red Length (in.)Weight (lb)Fish Lengths and Weights4681.24 1.45 1.70101.99122.33(a) Find an exponential model for the data.1)The exponential model for the data is y=(Use integers or decimals for any numbers in the expression. Round to three decimal places asFrr PLEASE HELP W THIS WILL GIVE BRAINLIST TO BEST ANSWER AND EXTRA POINTS !!!!!ONLY A!!!! Im having a rough day so just please dont put links or files.. Water is added to liquid isopropanol (a polar liquid) to form a solution of rubbing alcohol. Describe what happens on the molecular level as the water dissolves in the isopropanol. Select the correct step order from the drop-down menu for each step listed. The polar isopropanol molecules are attracted to the polar water molecules at the surface of the water. The water molecules spread evenly throughout the solution. The water molecules are carried into the solution. The isopropanol molecules surround the water molecules. What important insights have you gained in looking back at biocultural and social evolution? Square DEFG with vertices D(0,0).E(2, 4), F(6,2), and G(4,-2):k = 5/2 A pen costs twice as much as a pencil. If 7 pens and 12 pencils cost $6.50, find the cost of a pencil. I know the answer (pencil $0.25, pen $0.5), but I need to figure out how the answer is solved. Should I post this because I don't know what to put lol whats the answer to this problem? Please answer my question, its in the image. The earth's rotation causes wind to PLEASE HELP EMERGENCY 50 POINTS College students who provided community service as part of a semester-long course reported changes in attitude, behavior, and _____. help!! Please !! Thank you if you help Saul is building a raised garden bed. The perimeter of the garden bed is 28 feet. The length of the garden bed will be 4 less than twice the width. What is the width of Saul's garden bed? Issued in response to the Townshend Revenue Act of 1767, theMassachusetts Circular A 1,200 kg car accelerates at 3 m/s2. What net force is the car experiencing during thisacceleration?0 3600 N0 2000 N2400 NO ON 5. What should a samurai do if there is a conflict between luis duty to his master/daimyo and his family? Which should he choose? To prepare for a bake-off, Lee used 640 grams of flour each day for 4 weeks. How many kilograms did Lee use in those 4 weeks?