The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of the rectangle?

Answers

Answer 1

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:


Related Questions

The partial pressure of carbon dioxide in a mixture is 0.31 atm.

If the mole fraction of the carbon dioxide is 0.46, what is the

total pressure of the mixture?

Answers

Answer:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Step-by-step explanation:

For this case the partial presure of carbon dioxide is given by:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

16.8=2.4e
find the value of E

Answers

Divide both sides by 2.4
e=7

Answer:

[tex]e = 7[/tex]

Step-by-step explanation:

[tex]16.8 = 2.4e \\ \frac{16.8}{2.4} = \frac{2.4e}{2.4} \\ \: \: \: \: \: 7 = e[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS

Answers

Answer: The correct answer is D!!! 60

Step-by-step explanation:

The measure of the value of x from the given quadrilateral is 81 degrees.

Circle geometry

From the given diagram, the quadrilateral is inscribed in the circle.

USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;

x + 98 = 180

Subtract 98 from both sides

x + 98 - 98 = 180 -98

x = 180 - 98

x = 81 degrees

Hence the measure of the value of x from the given quadrilateral is 81 degrees.

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what is 4 3/4 - 1/3 . I need this answer so I can pass .

Answers

Answer:

Step-by-step explanation:

Turn the fractions to the same denominator then subtract to get: 4 5/12

is 5/2 irrational or rational

Answers

5/2 is a rational because this can be expressed as a ratio or fraction. 5/2 in ratio can be written as 2.5

If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.

Answers

Answer:

9

Step-by-step explanation:

c(1)=-20 c(n)=c(n-1)+10 find second term

Answers

Answer:

c(2) = -10

Step-by-step explanation:

c(1)=-20

c(n)=c(n-1)+10

Let n = 2 since n indicates the term number

c(2)=c(2-1)+10

     = c(1) +10

     = -20+10

      = -10

What is the value of y?

Answers

Answer:

Step-by-step explanation:

A [tex]45^\circ - 45^\circ - 90^\circ[/tex] triangle is special -- it's a square cut in half diagonally.

The legs (sides that form the 90 degree angle) are both equal.

The hypotenuse is the leg multiplied by the square root of 2.

[tex]\text{hypotenuse}=\text{side}\sqrt{2}[/tex]

So [tex]x=24\sqrt{2} \approx 33.9[/tex]

Find the area of the shape shown below.
12
4

Answers

The answer to this question is 32

Answer:

32

Step-by-step explanation:

4688-3) -30X-5 CX-5)

Answers

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x  = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

Answer:

x ≈ 4.3

Step-by-step explanation:

Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:

4(8x - 3) - 30x = 5(x - 5)

32x - 12 - 30x = 5x - 25

Add like terms (32x and -30x), like so:

32x - 30x = 2x

2x - 12 = 5x - 25

Subtract 2x from both sides:

2x - 12 = 5x - 25

-2x         -2x

____________

-12 = 3x - 25

Add 25 to both sides:

-12 = 3x - 25

+ 25       + 25

____________

13 = 3x

Divide both sides by 3:

4.3 ≈ x

Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9

Answers

Answer:

Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7

Step-by-step explanation:

the equation used to calculate future value of an investment (or bank deposit) using compound interest is:

future value = present value x (1 + interest rate)ⁿ

Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47

Answer:

the answer would be A

Step-by-step explanation:

what the person above said.

The difference of a number and 8 is no more then 13

Answers

x - 8 = </= 13

x could be from 9 to 21

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each scarf uses 0.1, point, 1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 20 items. Let h be the number of hats Elliott makes and s be the number of scarves she makes. Which system of equations represents this situation?

Answers

Answer:

Step-by-step explanation:

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as

h = 2s

The total number of hats and scarves that she wants to make is 20. This is expressed as

h + s = 20

Therefore, the system of equations that represents this situation are

h = 2s

h + s = 20

Answer: The answer is letter C

Step-by-step explanation:

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters

Answers

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).

Answers

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]

For x = 78, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

Which of the following describe the growth rate of the exponential function in the graph below?

Answers

Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol

Find the value ox x. (Circles)

Answers

Answer:

x = 140 degrees

Step-by-step explanation:

Lets say that the other part of the circle we don't know is y. Because the chords are equal distance, that means that the amount of circle the cut off is equal so y also equals 100.

And y + x + 100 + 20 = 360

100 + x + 100 + 20 =360

x + 220 = 360 Subtract 220 from both sides.

x = 140

N/A
N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/A

Answers

Answer:

why is there an N not paired up with A at the beginning, and an A without an N at the end? oh my gosh dude pair them up theyre lonely

Step-by-step explanation:

Please help me with this question

Answers

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

does anybody know where i can watch baruto dub for free all episodes no downloads

Answers

Answer:

They have it on Hulu

Step-by-step explanation:

and I heard something about Naruto360.com.

Answer:

I watched it on Utube

Step-by-step explanation:

You can find the episodes free on Utube just type in the episode and you can find it in many languages

does anyone know the answer to this please ?

Answers

Answer:

I think it's the first one.

a tile pattern has 6 times as many white squares as gray squares.there are 48 white tiles in the pattern.how many gray tiles are there?

Answers

8. You would take 48 (white tiles) then divide it by 6 to get 8. (Grey tiles)

There are 8 white squares in the tile pattern.

Given that, there are 48 white tiles in the pattern.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gray squares be x.

Here, a tile pattern has 6 times as many white squares as gray squares

Then, white squares = 6x

Now, 6x=48

⇒ x=8

Therefore, there are 8 white squares in the tile pattern.

To learn more about an equation visit:

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Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.

Answers

Answer:

4r^2 - 36 s^2

Step-by-step explanation:

Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve

Answers

Answer:

18$

Step-by-step explanation:

Answer:

£16

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Divide the money by 9 to find the value of one part of the ratio

£36 ÷ 9 = £4 ← value of 1 part of ratio, thus

4 × £4 = £16 ← Kiera's share of the money

Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34

Answers

Answer:

22

Step-by-step explanation:

it is epuivalet

The correct answer is 22

Help pleaseeeeeee

find the code for section 8

need help now pleaseeeee

Answers

Answer:

21/25 = 84% 84% is the largest out of them all in a percentage number.

Problem
A group of people attended a party.
When they danced as couples, one person was left
over.
When they danced in threes, one person was left over.
When they danced in fours, one person was left over.
When they danced in fives, one person was left over
How many people
were at the party?

Answers

Answer:

301

Step-by-step explanation:

A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long does the wire need to be to reach from the top of the tower to the ground?

Answers

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.

Evaluate 7 r − 15 s 7r− s 15 ​ 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.

Answers

Answer: 18

Step-by-step explanation:

Evaluate 7 r − 15 /s

Given that r = 3 and s = 5

7r - 15/s

Substitute 3 for r and 5 for s in the above expression

7(3) - 15/5

= 21 - 3

= 18

Answer:

18

Step-by-step explanation:

The number of gold medals won by ten countries during the 1996 Olympics are given below. Use the data to make a stem and leaf plot. (9,16,9,15,20,13,7,26,9,44)

Answers

Answer:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit.

Step-by-step explanation:

For this case we have the following dataset given:

9,16,9,15,20,13,7,26,9,44

The first step is order the data on increasing way and we got:

7,9,9,9, 13,15, 16,20,26,44

And we can create the stem plot like this:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit

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