The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 cm, find its length and width.

Answers

Answer 1

Answer:

Length = 30

Width = 5

Step-by-step explanation:

So the formula for perimeter is

P = 2L+2W

And we know that:

L = 6W

So then we put in all the information that we do know

70 = 2(6W)+2W

And pop that into a calculator and you get W=5

So now we put that information into L = 6W to get:

L = 6×5

L = 30


Related Questions

What equation do you use to find the slope of a line? I believe it is y=mx+b but I forgot.....

Answers

It’s also (second y coordinate - first y co-oridinate)/(second x co-ordinate - first x co-ordinate)

Can someone pls help me out

Answers

Answer:

option a. similar;AA similarity; triangle plm

I need help with factoring trinomals.
Please explain how you got the answer.

Answers

9514 1404 393

Answer:

  (x +6)(3x +4)

Step-by-step explanation:

The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.

  72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

Sums of these factor pairs are 73, 38, 27, 22, 18, 17.

Now, you can rewrite the expression splitting the middle term into two parts:

  3x² +4x +18x +24

  x(3x +4) +6(3x +4) . . . . . . factor by grouping

  (x +6)(3x +4) . . . . . . . . . . your factored form

_____

Additional comment

I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.

One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:

  (3x +4)(3x +18)/3 = (3x +4)(x +6).

In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.

[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]

Use midterm splitation

[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]

Take 3x and 4 common

[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]

Simplify

[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]

Done!

Express 2700 as a product of prime numbers or find the prime factorization of 2700 leaving
your answer in index form or notation

Answers

2700
27 100

9 3 10 10


3 3 2 5 2 5

answer

2^2 x 3^3 x 5^2

Katie memorized 40 multiplication facts last week. This week she memorized 56 multiplication facts. What is her percent of increase for memorizing multiplication facts this week? o 22.4 % O 71.4 % O 40% O 140%​

Answers

The percent of increase in Katie's memorization of multiplication facts this week is 40%. Option C

To calculate the percent of increase for Katie's memorization of multiplication facts this week, we need to find the difference between the number of facts she memorized last week and this week, and then express that difference as a percentage of the original value.

Number of multiplication facts memorized last week: 40

Number of multiplication facts memorized this week: 56

To find the difference in the number of facts, we subtract the number memorized last week from the number memorized this week:

56 - 40 = 16

The difference is 16.

To calculate the percent of increase, we divide the difference by the original value and multiply by 100:

(16 / 40) * 100 = 40

The percent of increase in Katie's memorization of multiplication facts this week is 40%.

Therefore, the correct answer is C) 40%.

For more such questions on percent visit:

https://brainly.com/question/24877689

#SPJ8

The price of an item yesterday was $130. Today, the price rose to $299. Find the percentage increase.

Answers

Answer:

130%

Step-by-step explanation:

Use the formula for percent change: difference = % * original price

To find the difference, you have to do 299 - 130, which is 169.

The original price is $130 because this is the price before it rose to $299.

Now, you have the equation 169 = % * 130.

We don’t know the percentage right? No, so we have to find the percentage by dividing 169 by 130, which gives you 1.3. Lastly turn 1.3 into a percentage by multiplying 1.3 by 100, and 1.3 as a percentage is 130%. So therefore, the percent increase is 130%.

130%

Step-by-step explanation:

Yesterday = $130.

Today = $299 .

((final price - initial price)/(initial price)) × 100%

= (($299 - $130)/$130) × 100%

= ($169/$130) × 100%

= $1,3 × 100%

= 1,3 × 100%

= 130%

Please help immediately
Show your work

Answers

Answer:

a + 7

Step-by-step explanation:

x^2 + 2x - 8. on [5,a]

(f(a)-f(5))/( a - 5 )

(( a^2 + 2a - 8 ) - 27 ) / a - 5

( a^2 + 2a - 35 ) / a - 5

(a - 5)(a + 7) / a - 5

a + 7

I need help please there are three more questions after that and they are 7/10+2/5+3/4
NUMBER 2: 3/4+7/8+5/6 NUMBER 3: 3/5+7/8+3/10

Answers

Answer:

1. 19/21 which is closest to 1

2. 1 hour , 1 hour , 2 hours

3. 19/21

4. 11/15

5. second statement is correct ( should be

closer to 1/2)

6. 7/10+2/5+3/4= 37/20

7. 3/4 +7/8+5/6= 59/20

8. 3/5 + 7/8+3/10= 71/40

Is (2,3), a solution to the system of equation x2 + y2 = 13 and 2x - y=4?
True
False

Answers

im pretty sure its false! sorry if its wrong

The problem 72➗12 will have a quotient greater than the problem 7.2➗12.true or false HELLLLLP QUICK

Answers

TRUE

explanation:
72/12 = 6. 7.2/12 = .6 . So, 6 is greater than .6 .

help please and show working

Answers

Answer:

27/4 or 6 3/4

Step-by-step explanation:

Change all mixed numbers into improper fractions

2 1/9 = 19/9

6 1/4 = 25/4

19/9 ÷ 2/3 - 25/4 x 2/5

dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)

19/9 x 3/2 - 25/4 x 2/5

you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below

19/3 x 1/2 - 5/4 x 2/1

multiply across the fractions first PEMDAS, then subtract

19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)

57/12 - 30/12 = 27/12

1/5 x 1/3 + 2/5 x 2/3

1/15 + 4/15 = 5/15 or 1/3

27/12 / 1/3

you can multiply the fractions and flip the top and bottom numbers of 1/3

27/12 x 3/1

reduce 12 and 3

27/4 x 1/1 = 27/4 or 6 3/4

Factorise the link expression 5(x- 2) - y(2-x)

Answers

Step-by-step explanation:

5(x- 2) - y(2-x)

5(x- 2) - -y(x-2)

5(x- 2) + y(x-2)

=(5+y) (x-2)

Which of the statements about the graph below is true the first answer

Answers

Answer:

yes the first answer hope you get it right

What is 20x8 divided by 3-5

Answers

Answer:

-80

Step-by-step explanation:

→ Complete the multiplication

20 × 8 = 160

→ Complete the take away

3 - 5 = -2

→ Divide the two answers from each other

160 ÷ -2 = -80

please answer for question 8 and A and B


I factory produced 90 pairs of designer jeans And inspector Randomly choose his 6 pairs of jeans And discovers that 1 of the Pairs of jeans Pairs of jeans Is defective.


A. What is this experimental probability that a pair of jeans inspected will be defective.

B. How many of the 90 pairs of jeans would you expect to be defective.


I need help PLEASE!

Answers

Not sure about A but B would be 15 pairs of jeans you would expect to be defective

Question today susan has 12.6 m ribbon to make flowers if she has to make 4 flowers,how ribbon would use to make 4 flowers

Answers

Step-by-step explanation:

3.15m or 3 3/20m

She has a total of 12.6m of ribbbon.

She has to make 4 flowers and each has ribbon.

You take 12.6÷4

Answer:

she would use 3.15 meters on each flower because when you divide 12.6 meters by 4 it equals 3.15 meters.

A cartoon of staples has 50 packages. The carton contains 25,000 staples in all. Each package has an equal number of staples. How many staples are in each package? Explain how to use a basic fact to find the answer.

Answers

Each box contains 500 staples because I know there are 50 packages and 25,000 staples in all so you divide 25,000 by 50 and you get 500 staples in each box

A group of 5 friends is shering 2 pounds of trail mix .Write a division problem and a fraction to represent this situation ​

Answers

Answer:

Division problem - 2/5

Fraction - 2/5

Step-by-step explanation:

The answer is the same because in mathematical situations, division and fraction is considered same.

Identify the zeros of the function allgebraically
F(x)=x+2

Answers

Answer:

x = -2

Step-by-step explanation:

Equate x+2 with 0

x+2 = 0

x = -2

Feel free to mark this as brainliest! :D


5
an
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1
centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers? hi

Answers

Answer:

(0,2),(1,6),(−2,−6) are solutions

Write the equation of the line that passes through the points (9,3)(9,3) and (-7,-7)

Answers

Answer:

y=5/8x-21/8

Step-by-step explanation:

What is the value of f(x) = 5x +1 at f(-4) ?

Answers

Answer: -19

Solving:
f(x) = 5x + 1
f(-4) = 5(-4) + 1
f(-4) = -20 + 1
f(-4) = -19

Solve:

e + 13.2 = 289.47

Answers

Answer:

Evaluate.

15.91828182 = 289.47

which of the following number is the greatest number? a)23,675 b)66,072 c)25,976 d)91,731

Answers

Answer:

D. 91,731

Step-by-step explanation:

91,731 would be the greatest number since it has the largest number in the ten-thousands place.

Use the quadratic formula to find the solutions to the quadratic equation
below.

3x^2-5x+4=0

Answers

Answer: x

=

5

±

i

23

6

Explanation:

y

=

3

x

2

5

x

+

4

=

0

Use the improved quadratic formula.

D

=

d

2

=

b

2

4

a

c

=

25

48

=

23

=

23

i

2

-->

d

=

±

i

23

There are no real roots. There are 2 complex roots:

x

=

b

2

a

±

d

2

a

=

5

6

±

i

23

6

=

5

±

i

23

6

Step-by-step explanation:

Answer:

X= (5 ± i√23)/6

Write Your Own Problem

Answers

Answer:

Step-by-step explanation:

You could find the mean, median or range of the numbers?

The largest virus known to man is the Megavirus, which measures 0.00000044 meters across Express this number in scientific notation.

Answers

Answer:

4.4x10⁻⁷

Step-by-step explanation:

Decimal moves 7 places to the right so the exponent if negative.

Tina babysits children in her neighborhood. When Tina is asked her rate, she tells her neighbors that she charges $15 for the first hour and $8 for each hour after. If Tina's neighbor asks Tina to babysits for 4 hours, how much will Tina earn? Write an equation to model and solve the problem. Write the answer as an ordered pair and explain the meaning of the ordered pair.

Answers

The amount charged is an illustration of a linear equation.

Tina charges $39 for 4 hours

The given parameters are:

[tex]Base = 15[/tex] --- amount charged for the first hour

[tex]Rate = 8[/tex] --- amount charged for the extra hours

If Tina babysits for 4 hours, it means that:

She will charge $15 for the first hour$8 for the extra 3 hours

So, the total charges is:

[tex]Total = 15 + 3 \times 8[/tex]

[tex]Total = 15 + 24[/tex]

[tex]Total = 39[/tex]

The ordered pair is (4,39)

It means that:

She charges $39 for 4 hours

Read more about linear functions at:

https://brainly.com/question/20286983

What is the midpoint of a line with endpoints (6,5) and (14,7), (Your answer
should be an ordered pair)

Answers

Answer:

Midpoint = (10,6)

Step-by-step explanation:

Using Coordinates: X(6,5) and Y(14,7)

Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2

Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2

Midpoint of XY = (20) / 2, (12) / 2

Therefore the midpoint of XY is (10,6)

lol here again
what is 7.5% of 30 rounded to the nearest tenth (as a decimal)

Answers

Answer:

2.3

Step-by-step explanation:

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