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

Please help me, I will mark as brainliest.

Answers

I think it is student 1

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

Answers

Answer:

A , 3

Step-by-step explanation:

25K = 75

k = 75/25, k = 3

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...

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.

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

Answers

Answer:

2,250

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

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

what's the opposite of -3.9

Answers

positive 3.9

negative is the opposite of positive

positive it the opposite of negative

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

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

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

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!

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

^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

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

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

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:


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

Necesito ayuda con está pregunta por favor. :)​

Answers

La respuesta es la segunda

B.

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

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:

-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

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

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

Write 3 equivalent ratio for 50:10

Answers

Answer:

5:1

10:2

100:20

Step-by-step explanation:

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

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!

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

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
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