represent the given condition using a single variable, x.
The length and width of a rectangle whose length is 15 centimeters more than its width.
The width of the rectangle is ____.

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Let suppose [tex]x[/tex] be the width of the rectangle.

As the length is 15 centimeters more than its width i.e.

[tex]length = x+15[/tex]

Therefore, the width of the rectangle will be:

[tex]x = length - 15[/tex]

CHECK BY EXAMPLE

Let suppose if the length of the rectangle is 20 cm.

Then the width of the rectangle will be:

x = length - 15

  = 20 - 15

   = 5 cm

Therefore, the width of the rectangle will be 5 cm.


Related Questions

-2/3 x 3/4
Please help!

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-9/8.

Step-by-step explanation:

-3/2 * 3/4

= -3*3 / 2*4

= -9/8.

What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?

Answers

Answer: x = 8

Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT

Answer:

x=8

Step-by-step explanation:

Follow the order of operations to simplify the equation:

5(x-3) +2x=41  

Start by multiplying into the parenthesis: 5x-15+2x=41

Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41

Add 15 to both sides: 7x=56

Divide both sides by 7 to get x by itself: x=8

Hope this helps! (^-^)

Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?

Answers

Answer:

(E) 5

Step-by-step explanation:

Refer to picture

Calculating sums, we get a result of:

2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47

Sum of all digits is:

1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21

Considering this in the equation above, we get:

B + 2*21 = 47B = 47 - 42B = 5

Correct answer is (E) 5

CHECK MY ANSWERS PLEASE!!


1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)

Answers

Answer:

1. A) OPS is congruent to RSU

2. C) RSP is congruent to TSU

Step-by-step explanation:

1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.

✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.

❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.

❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.

OPS and TSU are also not congruent.

2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:

C) RSP is congruent to TSU

Roxanna has a collection of silver spoons from all over the world.
If the spoons are arranged in sets of 7, there are 5 left over.
If the spoons are arranged in sets of 8, there is 1 left over.
If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?

Answers

Answer:  89

Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89

All changes saved
4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250

Answers

Answer:

$22.50

Step-by-step explanation:

My bad lol, I posted the answer under the wrong thing.

GIVING OUT BRAINLIEST TO FIRST ✅CORRECT✅ ANSWER

Answers

Answer:

1,-5 and -1,-3

Step-by-step explanation:

Please help me, thanks!

Answers

Answer:

Algebraic expression for 75 less than twice Mabel's score is 2m-75

Step-by-step explanation:

We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.

Translating into algebraic expression

Let m represent Mabel's score

Twice Mabel's score = 2m

75 less than Twice Mabel's score = 2m-75

So, algebraic expression for 75 less than twice Mabel's score is 2m-75

How do you find
the rate of change of a function?

Answers

divided by the change in the input values.

Answer:

xfghzfgfrxeshixeah

Step-by-step explanation:

LG's SSL looks sl lid

What is 5-4 in the quadratic

Answers

Answer:

1

Step-by-step explanation:

The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

1. Here is a number line. Write the two missing numbers in the boxes.
0
2

Answers

Answer:

The box on the left is 0.4 and the box on the right is 1.8

Which of the following is a rational number? A.102 B.144 C.21 D.29

Answers

Answer:

I'm pretty sure they're all rational numbers since they're all whole numbers.

Simplify the followingexpression (-5)(-3)(4)

Answers

Your answer would be 60.

A negative times a negative equals a positive. This means that -5 x -3 = 15.

Then you multiply that by four and get 60.

Hope this helps and have a nice day!!

A rancher has a square cow pen with side length x. He decides to change the shape

of the pen while still using the same amount of fencing materials. The equation

(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)

of the pen and its area (in square feet).

a. If 300 represents the area of the new cow pen, what do the expressions

(x + 10) and (x - 10) each represent?

b. Find x, the original side length (in feet) of the square pen. Show your reasoning.

Answers

Answer:

a) x+ 10 is the length of the ranch

x - 10 is the width of the ranch

b) 20 feet

Step-by-step explanation:

Area of the square ranch = L²

L is the side length of the ranch

If the equation

(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)

Then we can find x where;

x + 10 is the new length of the ranch

x - 10 is the new width of the ranch

Open the parenthesis

equation

(x + 10)(x - 10) = 300

x²²-10x + 10x - 100 = 300

x² - 100 = 300

x² = 300+100

x² = 400

x = √400

x = 20

Hence the original length of the square pen is 20 feet

The values (x + 10) and (x - 10) represents the length and width of the new pen.

The value of x, the original length of the pen is 20 cm

How to find the side of a square?

The pen is a square. It was later reconstructed to form the following expression.

(x + 10)(x - 10) = 300

where

area = 300  feet squared

Therefore,

(x + 10)(x - 10) = 300

x² - 10x + 10x - 100 = 300

x² - 100 = 300

x² = 300 + 100

x² = 400

x = √400

x = 20 ft

Therefore, the original side length of the square pen is 20 ft.

learn more on square here: https://brainly.com/question/23821172

#SPJ5

Solve the proportion 6/y=9/24

Answers

Answer:

It would be 16!

Step-by-step explanation:

Step 1 : 6 times 24 is 144

Step 2 : 144/9

Answer 16!

Answer:

ur dad and. ur mom plus ur dad mama ififjfifnfbfndjfkjfif

Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.

Answers

Answer:

because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.

Answer: 1. the students 2. the final exams 3. is- domain- one- range   brainliest plzz??

what is 0.125 in a percent

Answers

12.5% hope this helped mark as brainliest pls?
12.5 percent because there behind the decimal

If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle

Answers

Answer:

Step-by-step explanation:

There is not enough info.

But you would take-

price of the motorcycle=50(x)  x is the number of months. I can't give the exact amount without the price of the bike.

A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.

Answers

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

[tex]Area = 135yd^2[/tex]

[tex]L=3W - 12[/tex]

Required

Determine the length of the rectangle:

Area is calculated as thus:

[tex]Area = L * W[/tex]

Substitute 3W - 12 for L and 135 for Area

[tex]135= (3W - 12) * W[/tex]

[tex]135= 3W^2 - 12W[/tex]

Reorder:

[tex]3W^2 - 12W - 135= 0[/tex]

Divide through by 3

[tex]W^2 - 4W - 45 = 0[/tex]

Expand:

[tex]W^2 - 9W + 5W - 45 = 0[/tex]

[tex]W(W - 9) + 5(W - 9) = 0[/tex]

[tex](W + 5)(W-9) = 0[/tex]

[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]

[tex]W = -5[/tex] or [tex]W = 9[/tex]

But width can't be negative

So:

[tex]W = 9[/tex]

Recall that: [tex]L=3W - 12[/tex]

[tex]L = 3 * 9 - 12[/tex]

[tex]L = 15[/tex]

Hence, the length 15 yards

PLS HELP. URGENT
Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)

Answers

270=D+1.25D
270=2.25D
D= 120 stickers

A store sees 138 customers in 8 hours. What is the unit rate (in customers per hour)?

Answers

Answer:

Step-by-step explanation:

138/8 = 17.25

What's 84 divided by 10 1/5? Thanks.

Answers

Answer:

8.23529412

Step-by-step explanation:

Do long division to get the answer as simple as that!

Answer:

168

Step-by-step explanation: (10 1 ÷5)  ÷ 84

is 9pi > 27 a true inequality?

Answers

yes it is a true inquation.

To find the quotient 2/5 divided 1/4,

A. Multiply 5/2 by 4
B. Multiply 2/5 by 1/4
C. Multiply 5/2 by 4
D. Multiply 5/2 by 4
HELP ME PLEASEEEE 20 POINTS AND BRAINLY HAAAALP

Answers

Answer:

None of the choices are correct.

Step-by-step explanation:

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.

2/5 divided by 1/4 = 2/5 times 4/1 = 2/5 times 4

Correct answer: Multiply 2/5 by 4

Answer: None of the answers are correct.

Answer:

None

Step-by-step explanation:

find the slope please :)

Answers

Answer:

3/4

Step-by-step explanation:

up 3 over 4

PLS SOLVE!!!!! THANK YOU!!!!!

Answers

Angle Goe is a right angle so 90° therefore to get y the equation would be 3y+27=90 solve to get y sorry I don’t have a pencil or paper to get s you do 9x+18+the number that equals y = 180 that might be confusing sorry

Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?

Answers

Answer:

14.4 there sorry for the wait

Find the difference: 3/10 - 1/6

Answers

Answer:

2/15

Step-by-step explanation:

10 = 2 * 5

6   = 2 * 3

LCM of 10 , 6 =  2 * 3 * 5 = 30

[tex]\frac{3}{10}-\frac{1}{6}=\frac{3*3}{10*3} - \frac{1*5}{6*5}[/tex]

          [tex]= \frac{9}{30} - \frac{5}{30}\\\\=\frac{9-5}{30}\\\\=\frac{4}{30}\\\\=\frac{2}{15}[/tex]

Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i

Answers

Answer:

The distance between given points is: √20

Step-by-step explanation:

The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.

Given numbers are:

[tex]z_1 = 2-3i\\z_2 =4+i[/tex]

The difference will be calculated as:

[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]

The distance will be:

[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]

Hence,

The distance between given points is: √20

2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?

Answers

10pieces = 5 weeks , to get how long it takes for 1 piece do 5/10 = 0.5, so 1 piece = 0.5 weeks the multiply them both by 18 to get how many weeks it would be so 18 pieces = 9 weeks
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