the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution

Answers

Answer 1

Answer:

[tex]250cm^2[/tex]

Step-by-step explanation:

length = 5 + 2w

width = w

P = Sum of all sides

P = 2 * (5 + 2w) + 2w

P = 10 + 4w + 2w

P = 6w + 10

Given Perimeter = 70cm

We substitute

6w + 10 = 70

6w = 70 - 10

6w = 60

w = 60/6

w = 10cm

Since length is 5 + 2w

length = 5 + (2 * 10)

length = 25cm

Area = lw

Area = 25 * 10

Area = [tex]250cm^2[/tex]

Answer 2

Answer:

let

b=x then'

l= 2x+5

Now

p=70

2(l+b)=70

2(x+2x+5)=70

6x+10=70

6x=60

x=6

b=x=10

l=2x+5=25

area of rectangle = l*b

25*10

=250 answer


Related Questions

Bert and Ernie own 20 rubber duckies total. If Bert owns 8 rubber duckies, how many does Ernie own?

Answers

Answer:

Ernie earns  12 rubber duckies

Step-by-step explanation:

20-8=12

- 2x + 4y = 17
3x - 10y = -3

Answers

1)-2x+4y=17
-2x+4y-17=0
2x-4y+17=0
———————
2)3x-10y=-3
3x-10y+3=-3+3
3x-10y+3=0

Answer:

1.-2x+4y=17

if you want me to solve for x : x=-17/2 +2y

If you want me to solve for y: y=17/4+x/2

2. If you want me to solve for x: x=-1+10y/3

If you want me to solve for y: y=3/10+3x/10

3. If you want me to do it all together it would be:

x=-79/4, y=-45/8

Step-by-step explanation:

Erika is going to the store to buy a gallon of milk and some apples. The gallon of milk costs $3.50 and apples
cost $1.50 per pound. Use this information to complete the table, create a graph, and write an equation that
represents Erika’s total cost, C, of buying the milk and a pounds of apples.

Answers

Answer:

C = $5.00

Step-by-step explanation:

C = $5.00 because IF Erika gets 1 pound of apples they would cost $5.00

  $3.50

+ $1.50

______

$5.00

I am so srry for not being specific.

five times a number increased by seven is equal to forty-seven what is the number

Answers

Answer:  The number is 8

Please mark brainliest

Step-by-step explanation:

8 is the value of the unknown number 'x' from the equation 5x + 7 =47.

What is linear equation?

" Linear equation is defined as the algebraic expression which has highest power of the given variable equals to one."

According to the question,

'x' represents the unknown number.

As per the condition given linear equation we get,

   5x + 7 = 47

Add (-7) both the sides

5x + 7 + (-7) = 47 + (-7)

⇒5x = 40

Divide by 5 both the sides we get,

(5x) / 5 = 40 / 5

x = 8

Hence, 8 is the value of the unknown number 'x' from the equation 5x + 7 =47.

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ2

What is the ratio of apples to bananas?

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
3 :4

Answers

Answer:

a

Step-by-step explanation:

it has the same a prime bundle

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.

Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points Both red: +4 points
Different colors: –1 point Different colors: –1 point
Both red: 0 points Both black: 0 points

If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one

Answers

Answer:

ez

Step-by-step explanation:

E(red) will be twice that of E(black), so Seth should choose to play red marbles.

Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.

Both options will lose points because there are two ways to lose points and only one

13) When simplified, -2(x + 4) 3(2x + 1) is equivalent to

Answers

-6 • (x + 4) • (2x + 1)

Answer:

-6(x=4)(2x+1)

Step-by-step explanation:

Just multiply -2 x 3

Hope this helps! :)

If a box has a volume of 456 cubic inches, with the length of 1 foot and a height of 4 inches, what is the width of the box?

Answers

9.5 inches
456 divided by the height of 4 inches is is 114 inches
Then dividing 114 by the length of 12 inches (1 foot) you get the width which is 9.5 inches

Hi, please help again lol

Answers

Answer:

?? No questions asked here

what is 15/2 into a mixed number

Answers

7 1/2.

2 goes into 15 7 times with one left over.

if the set of values represent points on a line, what is the value of a?

Answers

Answer:

a = 7

Step-by-step explanation:

Equation of line : y = mx + b

m = slope

Plug in coordinates:  

Slope = Change in y/Change in X

Slope = 13-4/5-2 = 9/3 = 3

Plug in coordinates:

y - intercept = b

13 = 5(3) + b

13 = 15 + b

b = -2

Equation: y = 3x - 2

Input 3 for x

y = 3x - 2

y = 9 - 2

y = 7

-Chetan K

Matthew ran 3 miles in 15 minutes at a constant speed. How long would it take him to run 12 miles at the same speed?​

Answers

Answer:

1 hour

Step-by-step explanation:

Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.

Answer:

the Answer is 60 miles per hour

how do you solve this

Answers

Answer:

See below:

Step-by-step explanation:

So, the first step to solving the problem is to find out what type of triangle it is

and what rule of goemetry we can use to solve it.

Finding What Theorem We Can Use

So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.

One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:

[tex]<ABC= <ACB[/tex]

Since we know this rule, we can solve for the equation.

Solving

We can solve for this by using two things that we know:

+ Sum of all angles in a triangle is 180 degrees.

+ Bottom two sides are congruent.

Since we know that, we can solve for the answer:

[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]

After solving, we know that x is 50 degrees!

Cheers!

(Feel free to comment a question if you didn't understand something!)

Please help me with this!

Answers

Answer:

9/40

i think it may be like this

Step-by-step explanation:

3/5.3/8

9/40

Mrs. Schneider teaches 156 students everyday. Among these students, there are 8 more boys than girls. How many girls does Mrs. Schneider teach

Answers

70, 157/2 = 78 - 8 = 70

Write an equation of a line that passes through the point (2, 0) and is perpendicular to the line y=-1/2x+3

Answers

Answer:

I think it's. y=-2/1x+2

Can someone please tell me the answer to this?

Answers

Answer:

look at the picture ..........

Answer:

Step-by-step explanation:

x × [tex]x^{5}[/tex] = [tex]x^{6}[/tex]

[tex]x^{2}[/tex] × [tex]x[/tex] = [tex]x^{3}[/tex]

[tex]\frac{x^6}{x^3}[/tex]= x³

factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
e) 3x⁴-54t
f) x²+3x-10
g) 2(x⁴+x³-12x²)
h) 20(x³-1)​

Answers

Answer:

Below.

Step-by-step explanation:

a) 5x-x² = x(5 - x).

b) x²-6x-27 = (x - 9)(x + 3).

c) x²+x-56 = (x - 7)(x + 8).

d) x³+8 = (x + 2)(x^2 - 2x + 4)

e) 3x⁴-54t = 3(x^4 - 18t)

f) x²+3x-10 = (x - 2)(x + 5)

g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)

h) 20(x³-1)​ = 20(x - 1)(x^2 + x + 1)

Which number has a prime factorization of 2x2x5x5x7x7

Answers

Answer:

4900

Step-by-step explanation:

multiply all those numbers together

2x2x5x5x7x7 = 4900

solve the short line equation, image attached, giving brainliest please help

Answers

Answer:

x = 3

Step-by-step explanation:

2 - 2x = -3 - -1

2 - 2x = -4

-2x = -6

-2x / -2 = 1x

-6 / -2 = 3

ur answer is then 1x = 3 or x = 3.

there is a sale of soft drinks, so four stores are competing with each other. which store offers the best buy ?
store A:12 pack for 3.00
store B: 22 packs for 5.50
store C: 18 pack for 4.75
store D: 36 pack for 8.00

( ill give brainly to whoever answer first w an explanation)

Answers

Answer:

desculpa,mais eu preciso de ponto para ajudar meu irmão

Answer: store D

Explanation: $8/36=22c

Pleeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaase help

Answers

Answer:IT IS 170

Step-by-step explanation:

or
Find the slope of the line
y
=
9
5
x

9
5
.

Answers

He answer is -1 because -95/95 is -1

The quotient of 2 and the sum of a number and 1

Answers

Answer:

2/(x + 1)

Step-by-step explanation:

An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?

Answers

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

Choose the best compatible numbers to find an estimated product or quotient.

48 × 29
A. 50 × 30 = 1,500
B. 40 × 30 = 1,200
C. 50 × 20 = 1,000
D. 50 × 25 = 1,25

Answers

A. 48 rounds up to 50 and 29 rounds up to 30.

solve pls brainliest

Answers

Volume: length • width • height

Volume: 5 yards • 3 yards • 2 yards

Volume: 30 yards^3

Answer:

30yd^3

Step-by-step explanation:

dimensions are 3*5*2 (count the number of blocks) so multiply to get 30 yd^3

Find a job that uses trigonometry. Include an image depicting the job and a description of how the trigonometric concepts learned in this module are used in the job.

Answers

Engineering

In engineering you need to determine the structure of shapes, buildings.The distance from base to building top total length of carpets,the settings of CCTV cameras for perfect view you need trigonometric functions like sin ,cos,tan etc

What the least common denominator for 11/12 5/6 and 1/5

Answers

Answer:

60

Step-by-step explanation:

Answer:

[tex]LCD[/tex] [tex]is[/tex] [tex]60[/tex]

Step-by-step explanation:

We look for the [tex]LCM[/tex] between these 3 number

[tex]12: 12,24,36,48,60\\6:6,12,18,24,30,36,42,48,54,60\\5:5,10,15,20,25,30,35,40,45,50,55,60[/tex]

Our [tex]LCM[/tex] is 60

that means our [tex]LCD[/tex] is [tex]60[/tex]

Brainliest please

HELPPPPPP!!!!!!!!!!!!!!!

Answers

Answer:

I might be wrong i think its C but double check and dont put it in until you are sure its right

Step-by-step explanation:

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