ON THE SMARTBOARD, THE
MATH TEACHER DREW A
RECTANGLE WITH A PERIMETER
The
OF 406 cm. THE LENGTH OF THE
RECTANGLE IS 7cm LONGER
THAN THE WIDTH. FIND THE
DIMENSIONS OF THE RECTANGLE.

Answers

Answer 1

The length of rectangle is 105 cm and width is 98 cm.

Step-by-step explanation:

Given,

Perimeter of rectangle = 406 cm

Let,

w be the width of rectangle

Length of rectangle = w+7

We know that

Perimeter of rectangle = 2(Length + Width)

[tex]406 = 2(w+7+w)\\406 = 2(2w+7)\\406 = 4w+14\\406-14 = 4w\\392=4w\\4w=392[/tex]

Dividing both sides by 4

[tex]\frac{4w}{4}=\frac{392}{4}\\w=98[/tex]

Width of rectangle = 98 cm

Length of rectangle = 98+7 = 105 cm

The length of rectangle is 105 cm and width is 98 cm.


Related Questions

Rafael spins the pointers of the two spinners shown at the right. Find the probability of each possible sum.

Answers

Answer:

P(sum 2)=1/6

P(sum 3)=1/3

P(sum 4)=1/3

P(sum 5)=1/6

Step-by-step explanation:

[tex]\left|\begin{array}{c|ccc}&1&2&3\\---&---&---&----\\1&2&3&4\\2&3&4&5\end{array}\right|[/tex]

On the table, there are a  a total of 6 outcomes.

Number of sum that equals 2=1Number of sum that equals 3=2Number of sum that equals 4=2Number of sum that equals 5=1

Therefore:

P(sum 2)=1/6

P(sum 3)=2/6=1/3

P(sum 4)=2/6=1/3

P(sum 5)=1/6

-20a -8 + 12b is ? what is the answer?

Answers

Answer:

4(-5a + 3b - 2)

Step-by-step explanation:

Aside from changing the order of the terms so that the "a" term comes first and the "b" term second, there's nothing you can do with this expression -20a -8 + 12b.  But notice that 4 is a factor common to all three terms, and therefore it can be factored out:

Rearranging the terms, we get

-20a + 12b - 8  =  4(-5a + 3b - 2)

Answer:

The answer is -4(5a+2-3b)

Step-by-step explanation:

Find the GCF and then multiply

5 points
Justin and TJ are servers at a local restaurant. The table below shows the
tips they earned. Which student has a lower mean tip for the week and by
how much?
Tips
Monday
Tuesday
Wednesday
Thursday
Friday
Justin
$32
$45
$50
$33
$50
T.J.
$58
$48
$40
$42
$42

Answers

Answer:

 Justin has a lower mean tip for the week with $42.

Step-by-step explanation:

To find the mean you must add all the numbers and then divide the sum by how many numbers there are.

For Justin you must add 32 + 45 + 50 + 33 + 50 then you'll get the sum 210. There are 5 numbers so you divide 210 by 5 which gives you the quotient 42.

As for T.J. you add 58 + 48 + 40 + 42 + 42 which gives you the sum of 230. Then you divide 230 by 5 since there's 5 numbers. Now you have the quotient of 46.

46 is greater than 42 so Justin has the lower mean.

Answer:

Justin by 4

Step-by-step explanation:

you add all the numbers for T.J. and for Justin separately and divide by five. you get 42 for Justin and 46 for T.J.

-plz mark as brainliest-

The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24?

Answers

Answer:

28

Step-by-step explanation:

Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment . What is the length of ?

Answers

Answer:

5 units long because when you have a translation the length, size and shape of the segment doesn't change it's just moved over on the coordinate plane.

If a/b=5/3 then 3a = ____.

Answers

Answer: 15
a=5, b=3
3a= 3x5= 15

Answer: 15

Step-by-step explanation:

If a/b is equal to 5/3 then a= 5 and b= 3

3a is equal to 3 times a which is equal to 3*5

3 times 5 is 15 so 3a=15

What is the next term of the geometric sequence?
375, 75, 15,

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The common ratio = 75/375 = 1/5

So the next term = 15* 1/5= 3

A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?

Answers

Answer:

The area of the sector is [tex]12.8\pi\ units^2[/tex]

Step-by-step explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

[tex]\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2[/tex]

Answer: 12.8pie

Step-by-step explanation:

Pythagorean theorem (picture provided)

Answers

The answer is of option D.

Hope this will help u...:)

The answer is definitely D:)


Salma suggested they sol a Grande box with 24 cupcakes. The ratio of
chocolate to vanilla cupcake is the same ratio of chocolate to vanilla for the
small box. Salma says that she can use equivalent ratios lo find how many
cupcakes in the Grande box are chocolate. What does she mean by that? How
many chocolate cupcakes will that be?​

Answers

Answer:

12... If there is an even ratio between the two, then there is an even amount, so you divide 24 by 2 and you have 12 chocolate and 12 vanilla cupcakes in the Grande box.

Step-by-step explanation:

It izz wat it izzzz!!!

                              :)

Answer:

If the ratio of chocolate to vanilla cupcakes is the same, that would make there 12 chocolate and 12 vanilla cupcakes.  She means that she can use equivalent ratios by, lets say the grande box had 100 cupcakes, then we know 50 are chocolate. We don't know how many chocolate cupcakes that will be because we don't know how much bigger the bigger box of cupcakes is.

Step-by-step explanation:

y=|x−3|+|x+2|−|x−5|, if 3

Answers

Answer: 3

Step-by-step explanation:

Y=|x-3|+|x+2|-|x-5|

X is given as 3

Substitute for x=3

Y=|3-3|+|3-2|-|3-5|

Y=0+1-(-2)

Y=0+1+2

Y=3

Answer:

Step-by-step explanation:

y=|3-3|+|3+2|-|3-5|

=0+5-2

=3

which number is a rational number?
√15
2.6457513110
17.156
^3√85

Answers

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕

Answer:

C. 17.156

Step-by-step explanation:

Im sure the answer is C.) 17.156

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number...

Hope I helped!!!

Good luck deary... <3

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕

Please solve:
9x-14=9x+1

Answers

Step-by-step explanation:

there is no solution for this equation

Which order does it go?

Answers

Subtract 4 from each side
Divide both sides by 5
Take square root of both sides
Add 3 to both sides

log (x) + log (x + 5) = log (6 x + 12)

I need the answer asap

Answers

It’s b I had it in my test

Answer: 12 i believe sorry if im wrong

Cedric has 200 songs on his Apple Music account. Of these songs, 24 are Indie songs. What percent of Cedric's songs are Indie songs?

Answers

Answer:

12%

Step-by-step explanation:

First put it into a fraction 24/200

Half it to make it to 100%

12/100=100%

Final answer:

To find the percentage of Cedric's songs that are Indie songs, divide the number of Indie songs by the total number of songs and multiply by 100%. The percentage of Indie songs is 12%.

Explanation:

To find the percentage of Cedric's songs that are Indie songs, we need to divide the number of Indie songs by the total number of songs and then multiply by 100.

So, the percentage of Indie songs is calculated as:

Percentage of Indie songs = (Number of Indie songs / Total number of songs) * 100% = (24 / 200) * 100% = 12%.

help me solve -2m-40

Answers

Answer:

-42

Step-by-step explanation:

Wouldn't you just do -2 minus 40 and get -42

Answer:

-2(m+20)

Step-by-step explanation:

We can factor out a GCF of -2

-2m-40

-2(m+20)

We can't solve for m because this is not an equation.

Hope this helps! :)

What is the degree of the polynomial
T-4t^2+t^3

Answers

Answer:

3 degrees.

Step-by-step explanation:

i really need help what would be the answer?

Answers

Answer:

x= −b^2a

Step-by-step explanation:

However, if this question is asking WHAT IS the axis of symmetry, then it would be 3

Answer:

x=[tex]-b^{2a}[/tex]

Step-by-step explanation:

Laurie wants to buy a new sweater that costs $45. The sweater is on sale for 25% off and 6.75% sales tax will be applied to the purchase. What will be the total cost of the sweater?

Answers

Answer:

36.03 dollars.

Step-by-step explanation:

Hope this helps!

Answer: $36.03

Step-by-step explanation: 25% of $45 is $11.25, and 45-11.25 is 33.75. The sales tax is $2.28, and that plus $33.75 is $36.03.

Which expressions are equivalent to -6+3(2+(-4t))?
Choose all answers that apply:

(Choice A)
A
-12t

(Choice B)
B
12t-12

(Choice C)
C
None of the above

Answers

Answer:

I belive that choice A would be the best answer!

Step-by-step explanation:

1. Compare subtracting 10/8 - 4/8 to subtracting 10-4. How are they alike? How

are they different?

Answers

1. 10/8-4/8= 3/4
2. 10-4= 6
The difference is the answers/solutions
Final answer:

The subtraction of 10/8 - 4/8 is similar to 10-4 only in the general subtraction process, but they differ in the types of numbers used (fractions vs. whole numbers) and the results generated (a fraction vs. a whole number).

Explanation:

The process of subtracting 10/8 - 4/8 is similar to subtracting 10-4 because in both cases, you are subtracting one number from another (~subtraction process~). However, they are different in terms of the kind of numbers used for subtraction. In the first operation, we are subtracting fractions while in the second operation, we are subtracting whole numbers.

To elaborate, in 10/8 - 4/8, they have the same denominators (8), so it's straightforward to subtract the numerators (numbers on top of the fraction): 10 - 4 = 6. So, the result is 6/8, which simplifies to 3/4.

In 10 - 4, the operation is simpler because we are working with whole numbers. By subtracting 4 from 10, we get 6 as the result. So, the results of the operations bear another difference, one yields a fraction, the other yields a whole number.

Learn more about Subtraction here:

https://brainly.com/question/20438352

#SPJ11

In OY, shown below, the radius is 34 units, AB = 60 units, and the measure of arc AC is 71 degrees.

Find each measure.​

Answers

Answer:

1. 71

2. 142

3. 30

4. 30

5. 16

6. 18

Pleaseee help!!!!!!!

Answers

Answer:

[tex]y = 3000 - 18x[/tex]

3000 goes into the green box.

Simplify
Simplify Simplify

Answers

Step-by-step explanation:

Simplify: [(8)^2/3]^4

(a) 8^8/3

(b) 8^6/3

(c) 8^6/12

Solution:

[(8)^2/3]^4

use the rules of exponents to simplify the expression.

=> [(8)^2/3]^4

To raise a power to another power multiply the exponents.

=> (8)^2/3 × 4

Multiply 2/3 times 4.

=> (8)^8/3

Option (c) (8)^8/3 is your correct answer.

Another method:

Given,

[(8)^2/3]^4

=> [(8^3)^2/3]^4

=> [(2)^3×2/3]^4

=> [(2)^2]^4

=> (2)^2×4

=> (2)^8

=> 2^8

=> 2×2×2×2×2×2×2×2

=> 256 Ans.

Hope this helps!!

what is the area of the base in the figure below? A cylinder with height 12and diameter 6

Answers

anwser- about 28.27

to figure it out the areas of the base, you just use the formula to find the area of a circle. Which is; A= r^2 times pi
(r stands for the radius)

Please help me ASAP 16 points

Answers

flour: 60

milk: 2.5

i calculated i hope its the right Answer


Your help would be greatly appreciated

Answers

17% is the answer to the question

There are 5 red marbles, 4 blue marble, 2 green marbles, and 1 yellow marble in the bag. What is the probability of pulling out each of the following?

Answers

Answer:

Red : 5/12

Blue : 1/3

Green: 1/6

Yellow : 1/12

Step-by-step explanation:

5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles

5 red marbles / 12 total marbles = 5/12

4 blue marbles / 12 total marbles = 4/12 = 1/3

2 green marbles / 12 total marbles = 2/12 = 1/6

1 yellow  marbles / 12 total marbles = 1/12

I nreed help aspa plzzzzzzzzz

Answers

ᗯITᕼ ᗯᕼᗩT 234567889666$OK
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