A rectangular picture with perimeter 27 cm is glued in the center of a rectangular piece of cardboard. There is a 1 cm margin ( of empty cardboard) all around the picture. What is the perimeter of the piece of cardboard.

Answers

Answer 1

Answer:

  35 cm

Step-by-step explanation:

Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).

The perimeter formula tells you the perimeter is ...

  P = 2(L +W)

__

The cardboard perimeter will be ...

  P' = 2((L +2) +(W +2)) = 2(L +W +4)

  P' = 2(L +W) +8

  P' = P +8

If the original perimeter is 27 cm, the cardboard perimeter is ...

  P' = 27 +8 = 35 . . . . cm

The perimeter of the cardboard is 35 cm.


Related Questions

Evaluate the expression: 4x - 2y if x is 7 and y is -3

Answers

hello!

Plug in the values of the variables:-

[tex]\sf{4x-2y}[/tex]

[tex]\sf{4(7)-2(-3)}[/tex]

[tex]\sf{28+6}[/tex]

[tex]\sf{34}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

34

Step-by-step explanation:

We have to find the value of the expression ( 4x - 2y ).

Also, given that,

x = 7

y = -3

So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.

Let us solve it now.

4x - 2y

4 × 7 - 2 × -3

28 + 6

34

What is the area, in square meters, of the shaded part of the rectangle shown below?

Answers

there is no rectangle??

Multiply.


8×3/5


Enter your answer as a mixed number in simplest form by filling in the boxes.


$$

Answers

Answer:8x3/5=4.8

Step-by-step explanation:

Answer:

in simple form its 4.8

for a improper fraction its 43/5

I will comment for the mixed number but if this is correct can u mark me brainliest

Please answer fast
Select the correct answer.
An animal reservation has four different regions for animals. The number of animals in each region is shown in the table.
B
C
Region
Number of Animals
A
42,500
D
49,200
60,800
57,300
35 mi
A
38 mi
51 mi
Sketch of Region
42 mi
A
50 mi
40 mi
49 mi
32 mi
Which re
region has a population density less than 60 animals per square mile?
ΟΑ. Α
OB. B
OC. c
ODD

Answers

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

What is the area of a triangle?

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

Which of these is the statement of the zero product rule?

A. If a • b = 0, then either a = 0 or b = 0, or both.

B. If a • b = 0, then a = 0 and b = 0.

C. If a • b = 0, then a = 0.

D. If a • b = 0, then either a = 0 or b = 0, but not both.

Answers

A is the correct answer

Which shapes show equivalent fractions?

A.shapes A and B
B.shapes A and D
C.shapes B and C
D.shapes A, B, and D

Answers

Answer:

B.shapes A and D

Step-by-step explanation:

Cuz if u see very carefully u will see they are cubes (except b) and A and D had one of its side's covered so the answer is simply A and D

(5x+30)=7x ??
Can anyone help me

Answers

Answer:

the answer is x=15.....

Answer:

Step-by-step explanation:

(5x+30)=7x Subtract 7x from both sides. 5x+30−7x=0 Combine 5x and −7x to get −2x. −2x+30=0 Subtract 30 from both sides. Anything subtracted from zero gives its negation. −2x=−30 Divide both sides by −2. x= −2 −30 ​ Divide −30 by −2 to get 15.                 answer should be x=15

what is difntion of tautology?

Answers

a phrase or expression in which the same thing is said twice in different words.

17 divided into 3,536

Answers

Answer: 208

Step-by-step explanation:

The number 3536 is called the numerator or dividend, and the number 17 is called the denominator or divisor.

The quotient of 3536 and 17, the ratio of 3536 and 17, as well as the fraction of 3536 and 17 all mean (almost) the same:

3536 divided by 17, often written as 3536/17 = 208

simplify the expression m^-6n^-3/m^-13n^-1

A)m^7n^2
B)n^-9/n^-14
C)m^3n^12
D)m^7/n^2

Answers

Key the ruler of reducing similar terms answer is D)

[tex]\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}[/tex]

Hiking club wanted to cover a different trail each day for a week. On Monday they had 2.3 miles, and Tuesday they height 1.8 miles, on Wednesday they height 3.2 miles, on Thursday they hide 1.4 miles, on Friday they hike 2.8 miles. what is the total distance they hiked

Answers

Answer:

11.5 Miles

Step-by-step explanation:

Add up all the mile times.

2.3+1.8+3.2+1.4+2.8=11.5

June sells furniture. Last month she sold $1.700 in total sales and earned $85 for
her commission. What percent of her sales does she receive as commission?
(Show your work)

Answers

Answer:

5%

Step-by-step explanation:

1700 * x = 85

x = 85/1700 = .05    or 5 %

What is the volume of the​ cylinder? Use 3.14 for .
4 cm
11 cm

Answers

Answer:

Use the formula,

Volume of cylinder =πr²h

=3.14×16×11

=552.64 cm³

NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#7 and #8​

Answers

Answer:

  7. inverse relationship; equation: y = 16/x

  8. no relationship; no equation

Step-by-step explanation:

The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.

linear: constant differencesexponential: constant ratiosinverse: constant products

__

7.

In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.

 relationship: inverse

  y = 16/x

__

8.

As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 7

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 16 by the x-value.

[tex]\sf y=\dfrac{16}{x}[/tex]

Question 8

As the x-value increases, the y-value increases.  

The y-value increases by a factor of 2 for each x-value increase of 1 unit from 1 ≤ x ≤ 4 and 5 ≤ x ≤ 6.

[tex]\sf y=2^x \ for \ 1\leq x\leq 4[/tex]

[tex]\sf y=2^{(x+3)} \ for \ 5\leq x \leq 6[/tex]

These are separate exponential relations for restricted domains.

So there doesn't appear to be one relationship for a non-restricted domain.

ans this please i have alot this to do help me​

Answers

Answer:

3.1

Step-by-step explanation:

ok so, 3.14 rounded to the nearest tenth is 3.1

also, keep this in mind

if it is 5 and up it will be able to round up but if it is 4 round it down

Write the given expression as a single trigonometric function.

2 sine (StartFraction 3 pi Over 8 EndFraction) cosine (StartFraction 3 pi Over 8 EndFraction)

Sine (StartFraction 3 pi Over 16 EndFraction)
2 sine (StartFraction 3 pi Over 16 EndFraction)
Sine (StartFraction 3 pi Over 4 EndFraction)
2 sine (StartFraction 3 pi Over 4 EndFraction)

Answers

Answer:

sin(3pi/4)

Step-by-step explanation:

I got it right on edg

Answer:

The answer is letter c

Step-by-step explanation:

The outer rectangle is 2 feet by 4 feet. There is a semicircle and isosceles triangle within the rectangle. Find the area of the shaded region to the nearest tenth.

Answers

To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.

How to find the area of a shaded area?Determine the total area of the figure, in this case, the are of the rectangle that contains the triangle and the semicircle.Calculate the area of the white region.Substract the non-shaded area to the total area.

How to find out the area of different shapes?Rectangle: side x side =   2 x 4 = 8 square feetIsosceles triangle = 1/2 base x heightSemicirle = 1/2 (π x r^2)

Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.

Learn more about triangles in: https://brainly.com/question/2773823

the graph of a line gets _____
as the value of the slope gets bigger.
A. steeper
B. longer
C. less steep
D. shorter

Answers

Answer: Less Steep

Step-by-step explanation: the graph of a line gets less steep as the value of the slope gets bigger.

The graph of the line gets steeper as the value of the slope gets bigger. Then the correct option is A.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the value of the slope is bigger then the line will be steeper.

Thus, the correct option is A.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ7

Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =

Answers

Answer:

Here is the answer

Step-by-step explanation:

2x+y+2z=-2
-2x+2y-z=-5
4x+y+2z=0

Answers

Answer:

minden new yemilew yihegnaw tiyake

a pizza with a diameter of 15 inches is cut into 12 equal slices. Carson eats 5 slices of pizza, representing an area of:

Answers

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of diameter), in our case 15/2 = 7.5 in.

the total area of the whole pizza (circle) is

pi×7.5² = 56.25×pi = 176.7145868... in²

it is cut into 12 slices. Carson eats 5 of these 12 slices.

that means he eats 5/12 of the whole area :

176.7145868... × 5/12 = 73.63107782... in²

Martinez and grouse swimming pool is finally finished and all this left to do is fill it with water

Answers

Answer:

The aswer is 88

Step-by-step explanation:

Hope this helps

Factor the expression. 16m2 – 24mn + 9n2

(4m – 3n)(4m + 3n)
(4m – 3n)2
(16m – 3n)(m + 3n)
(4m + 3n)2

Answers

solution:

16m2 – 24mn + 9n2

((16 • (m2)) - 24mn) + 32n2

(24m2 - 24mn) + 32n2

= (4m - 3n)2

Hi! I am pretty confused on how to solve this problem. Any steps would be great to help me understand it!

Answers

Sheesh okay if I remember correctly
It would be add the y+4y=5y
5y+2y=7
7y(6x)
Or
5y+2y=10y 10y(6x)

find the product of -5x^3y(4x-8y)

Answers

Answer:

-20x^4y + 40x^3y^2.

Step-by-step explanation:

-5x^3y(4x-8y)

= -5x^3y * 4x + -5x^3y * -8y

= -20x^4y + 40x^3y^2

Please answer all questions and show work for each step and each part (part A, part b, part c)
*50 points*

Answers

Answer:

Already answered in advance in the comments section

Step-by-step explanation:

Feel free to ask more questions if any!

2. Bart sold 5 more than 3 times as many refrigerators last month than the number of
refrigerators sold by Bill. If together they sold 125 refrigerators last month, how many did
each person sell?

Answers

Answer:

Bart 95   bill 30

Step-by-step explanation:

Bill=b

Bart = (3b+5)  

b+ (3b+5) = 125

4b=120

b=30     Bill sold 30 refrigerators

3(30)+5 = 95 (Bart sold 95 refrigerators)

95+30=125

a ball is thrown vertically upward from the ground. it's distance in feet from the ground in t seconds is s=-16t+224t. after how many seconds will the ball be 768 feet from the ground? pls help!!!

Answers

Answer:

3.692seconds

Step-by-step explanation:

distance s is represented by the following equation s=-16t+224t

given the distance=768ft

replace s by 768 in the equation to find t (time):

768=-16t+224t

768=208t

t=768/208 =48/13 =3.692seconds

Hope this helps :)

solve this system of equations 2x+4y=-48

Answers

Answer:

x=-24-2y

y=-12-x/2

Step-by-step explanation:

To solve for x move everything to one side, 2x=-48-4y, then you can divide by 2 to just get x, x=-24-2y.

To solve for y move everything to one side, 4y=-48-2x, then you can divide by 4 to just get y, y=-12-x/2.

Find the measure of each angle in the isosceles trapezoid.

Answers

Answer:

Step-by-step explanation:

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