The length of a rectangle is x feet more than its width. The area of the rectangle is 5x + 25. What is the width of the rectangle?

Answers

Answer 1

Answer:

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before we start the solving, we can make the following statements:

Area = l x w

Area = 5x + 25

therefore,

l x w = 5x + 25

Since the question states that the length is x more than the width, so we can make the following statement:

w = l + x

With this, we can substitute it to the first statement we made, l x w = 5x + 25,

l x (l + x) = 5x + 25

[tex]l^{2}[/tex] + lx = 5x + 25

lx - 5x = 25 - [tex]l^{2}[/tex]

x(l - 5) = 25 - [tex]l^{2}[/tex]

x = [tex]\frac{25 - l^{2}}{l - 5}[/tex]

From this, we can find w by substituting it in the statement we made earlier, w = l + x,

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]


Related Questions

What's the name of angle C thanks for the help :)

Answers

Answer:

Reflex angle

Step-by-step explanation:

Properties of reflex angles:

1). Any angle measuring between 180° and 360°.

2). Other side of the reflex angle is either acute or obtuse angle.

By these properties,

Since, angle C measures more than 180° but less than 360° and opposite angle is an acute angle.

By these properties angle C and angle D are the reflex angles.

the square root of 50 plus 5 square root of 8
[tex] \sqrt{50} + 5 \sqrt{8} [/tex]

Answers

The simplify expression is 15 squared 2 or 21.2132

I will offer brainalist + 10 points for correct answer (:

Answers

Answer:

D) complimentary

Step-by-step explanation:

complimentary angles add up to 90 degrees

Answer:

D. Complementary!!!!!!!

Step-by-step explanation:

10 POINTS AND BRAINLIEST EASY QUESTION MIST BE DONE IN 10MIN OR LESS. TROLL ANSWERS WILL BE REPORTED​

Answers

Answer:

E

Step-by-step explanation:

it would be e because the number have to be equal for example 5,10,15,20...

a university is comparing the grade point averages of biology majors with grade point averages of engineering majors. the university wants to test whether there is a significant difference in the hpa for students in the two majors what are the null and alternative hypotheses that should be used to test this claim

Answers

Answer:

H0 : μEng = μBio

H1: μEng ≠ μBio

Step-by-step explanation:

μEng = Engineering average gpa

μBio = Biology average gpa

To test for difference between two sample means , in this case grade point average of biology majors and Engineering major.

Null hypothesis is the initial truth, which is that ; there is no difference in the mean grade point average of both biology and engineering majors

H0 : μEng = μBio

The Alternative hypothesis is the opposite of the null, which is stated has ; there is difference between the average GPA of both Engineering and Biology majors

H1: μEng ≠ μBio

-87 8g = 56
I need help please

Answers

G = 8

-8 + 8g = 56

Add 8 to both sides

8g = 64

Divide by 8

g = 8

Necesito ayuda con está pregunta por favor. :)​

Answers

La respuesta es la segunda

B.

Write 3 equivalent ratio for 50:10

Answers

Answer:

5:1

10:2

100:20

Step-by-step explanation:

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method. y2 − x2 = 4, y = 3; about the x-axis

Answers

Step-by-step explanation:

it actually equals 3 you x=+_√7 buy washing method


Your boss has given you two options for salary increase. Your current salary is $45,000 per year.
Option 1: A raise of $2000 per year (linear growth).
Option 2: A yearly 4% raise (exponential growth).
a) Write an explicit equation for both options.
b) Fill in the table below,

Answers

Answer:

Step-by-step explanation:

There is no table but I will do the equations

Option 1

45000+2000t

let "t" represent the number of years

Option 2

45000*1.04t

let "t" represent the number of years

Factor the follow expression:
8x−10

Select one:

2(4x−10)

2(x−5)

8(x−10)

2(4x−5)

Answers

hereeeeeeeeeee 2(4x-5)

Answer:

2(4x-5)

Step-by-step explanation:

(If you answer this right give me your cash app and I will pay you 5 dollars) Find the surface area of the pyramid.
12 yd
17.3 yd
20 yd
The surface area is
square yards.

Answers

Hopefully this help you with your math problem

4. You are playing poker with some friends and are about to be delt 5 cards from a
well - shuffled deck.
A) How many different hands are possible?
B) How many hands contain clubs?

Answers

Answer:

hi

Step-by-step explanation:

If the order did matter, we'd be talking about permutations and the o... ... Paul Richard McElravy, Started playing poker with friends in 1982, casinos in 1991. ... There are 2,598,960 different combinations of five card poker hands. ... How many 5 card hand dealt from a standard deck of 52 playing cards contain exactly the ...

i think b

^2sin(x+45)=sinx + cosx

Answers

Answer:

steps below

Step-by-step explanation:

√2 * sin(x+45°)

= √2 * (sinx cos45° + cosxsin45°)

= √2 * (sinx * √2/2 + cosx * √2/2 )

= (√2 * √2/2) (sinx + cosx)

= sinx + cosx

Can someone help me? I’ll reward brianalist + points

Answers

Answer:

A , 3

Step-by-step explanation:

25K = 75

k = 75/25, k = 3

Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5.7% over the previous year. Write an exponential function f(x) that models the tons of cherries produced by cherry hill orchards x years after 2012
A. f(x) = 500(1.057)^x
B. f(x) = 50(1.057)^x
C. f(x) = 500(0.057)^x
D. f(x) = 500(1.57)^x

Answers

Answer: A, f(x) = 500(1.057)^x

One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)

Side Note: I'd rather not have the answer in a file thank you very much.

Answers

Answer:

9 square feet

Step-by-step explanation:

1 acre = 43,560 ft²

1 acre = 4,840 yd²

Since both values are equal to 1 acre, we can set them equal to each other via the property of equality:

43,560 ft² = 4,840 yd²

The question is asking us to find the ft²/yd² ratio, which is found by dividing.

43,560 ft² / 4,840 yd² = 9 ft²/yd² (or 9 square feet is equal to one square yard.)

(If it helps to grasp the concept, we can add a variable representing this ratio to solve for.)

43,560 = 4,840x

43,560 / 4,840 = 9

900 ÷ 10 =

7,900 x 10 =

What number is 10 times greater than 200?

What number is 10 times less than 300,000?

Answers

Answer:

900÷10= 90

7900×10= 79000

200×10= 2000

300000×10= 30000

What is the area of this rectangle ?

Answers

Answer:

1x

Step-by-step explanation:

Area is length times width. Because there isnt a value for x, the area is just 1x. Let me know in the comments if it was right!

Solve for xx. Round to the nearest tenth if necessary.

Answers

Answer:

x = 37.5

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{x}{20} = \frac{46 - 16}{16} \\ \\ \frac{x}{20} = \frac{30}{16} \\ \\ x = \frac{20 \times 30}{16} \\ \\ x = \frac{600}{16} \\ \\ x = 37.5[/tex]

Answer:

x=37.5

Step-by-step explanation:

16/20=30/x

cross multiply

16x=600

x=37.5

Write in summation notation.
11) -2+ 1 + 4+...
+ 13
I’ll give brainliest to whoever answers correctly first

Answers

If that is -2+1+4+13 I think it should be 16

what is the answer
for this

Answers

Answer: 2.5 // 2 1/2

Step-by-step explanation:

1/2 + 1/2 = 1

3/4 + 3/4 = 6/4 = 1 1/2

1 + 1 1/2 = 2 1/2

2 1/2 = 2.5

Please help 20 points
Consider the net of a square box where each unit on the coordinate plane represents five feet. If a can or spray paint covers 30 square feet, how many cans of spray paint are needed to paint the outside of the box blue?

3
4
5
6​

Answers

Answer:

5 cans of spray paint

Step-by-step explanation:

i did the usatestprep :D

Out of 578 dog owners, a study found that 9% of dog owners brush their dog's teeth. About how many would be expected to brush their dog's teeth?

Answers

About 52
Hope this helps! If it’s right, pls pick brainliest!

I need help please if u help me maybe we can be friends ? :’D its math:

Evaluate the expression 10 + (8 - 4)2 ÷ 2.

options:
1. 10
2. 9
3. 1
4. 18

Answers

Answer:

I think ans is 18 but i am not sure

Answer:

This involve bodmas..so bracket first..(8-4) is 4 so we will get 10+4*2/2

so multiplication next

10+8/2

10+4=14

What is the area of the figure?
15in.
30in
-50in.
The area of the figure is

Answers

Answer:

2,250

Step-by-step explanation:

what's the opposite of -3.9

Answers

positive 3.9

negative is the opposite of positive

positive it the opposite of negative

Please help me, I will mark as brainliest.

Answers

I think it is student 1

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?

5 cm and 8 cm

D cm and 7 cm
O
7 cm and 2 cm

8 cm and 9 cm
Hurry

Answers

Uodidufufufifijuduxxjdififfi

Answer:

8 and 9

Step-by-step explanation:

I can't tell what the second option is, though but I think 8 and 9 should be a valid answer

lmk if you want me to explain

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

C

Step-by-step explanation:

The formula for the area of a trapezoid is: [tex]\frac{1}{2}[/tex] (height)(sum of parallel lines)  

Thus, the formula in this question would be: [tex]\frac{1}{2}[/tex] (4)(4+8) which is option C

Other Questions
which is an example of a verb phrase in the sentence "saundra could have taken the easy route,but she focused on the reward of better physical fitness and ran up the hilly road instead of the flat road 2. In the diagram below, west is to the left, east is to the right, and the observer is looking toward the north. What is the direction of the wind?A. NEB. NWC. SED. SW Pls help Ive been looking for hours Use the provided MS-Excel template to note entries for each .pcap file in Wireshark that are of interest, as well as your assessment of potential vulnerabilities. Such vulnerabilities might be due to plaintext data exchange between two machines, which might be exploitable by session hijacking, man-in-the-middle attacks, exploitation of commands/user accounts/passwords, or capture and replay of the data packets later to control devices or access remote connections. HELP PLEASE PLEASEEEEEE Find X please help me with test corrections due midnight tonight!If HBN is congruent to LYR. Answer Please Homeostasis is the ability of a system to regulate its inner conditions and thereby maintain functional stability through _____.A. SonogramsB. Blood TestsC. Feedback ControlD. Brain Scans What is the equation of the line that passes through the point (-3, 6) and has aslope of -2? give brainleist plz helpppp why was katniss's prep team detained and chained to a wall The equation of a line is shown.6x 3y = 5A dilation centered at the origin with a scale factor of 6 is applied to this line.A. What is the slope of the line after the dilation?B. What is the value of the y-intercept of the line after the dilation? China and the United States are playing each other in the championship match of the 1999 Women's World Cup soccer tournament. Brandi Chastain of the U.S. team is about to take a penalty kick against the Chinese team's goalkeeper, Gao Hong. Chastain will kick the ball from 18 yards away from the goal at 120 miles per hour. How many seconds does the goalkeeper have to react, dive, and reach the ball before it crosses the goal line Simplify a^4b^3a^2b/a^-5b^-2 Discuss the impact of discriminating behaviour on the individual four examples of compounds which are classed as carbohydrate Someone help Duane scored 55 points in the last basketball game, which is 10 points more than his previous personal best. LeBron scored 15 points more than Chris in the same game. LeBron scored the same number of points as Dwaynes previous personal best. Let D represent the number of points Dwayne scored during his previous personal best and C Represent the number of crest points. Question: how many points did Chris score during the game? If these are the only three players who scored, What was the teams totals number of points at the end of the game? Why is it that 1 dm3 of ethanol not equal to 1 kilogram of Arlo has $25 to spend on a T-shirt andshorts for gym class. The shorts cost $14.Use the inequality 14 +1 < 25, where trepresents the cost of the T-shirt. What isthe most Arlo can spend on the T-shirt? How was Hitler like Napoleon?