A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture
frame?
3
18 cm
32 cm
0 48 cm
0 50 cm

Answers

Answer 1

Answer:

The correct answer is option 2: 32 cm

Step-by-step explanation:

Let l be the length of the picture frame and w be the width

Then according to given statements, the system of equations will be

[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]

Putting w = 2l-4 in equation 1

[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]

Putting the value of l in equation 2

[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]

The width is 32 cm

Hence,

The correct answer is option 2: 32 cm


Related Questions

Do any of you guys know the answers to these! Need help

Answers

Answer:

(16) 0    (17) 36

Step-by-step explanation:

8-3 = 5

5x5 = 25

25 / 25 = 1

1 - 1 = 0

and 81 / 9 x 4 = 9 x 4 = 36

Answer:

0 and 36

Step-by-step explanation:

16

25 ÷ (8 - 3)² - 1 ← evaluate parenthesis

= 25 ÷ 5² - 1 ← evaluate exponent

= 25 ÷ 25 - 1 ← evaluate division

= 1 - 1

= 0

17

[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36

Help

w(a)=a-1; find w(0)

Answers

Answer:

Step-by-step explanation:

w(0) = 0-1

w(0) = 0-1

w(0) = -1

Since w(0), this basically means that a = 0.

So, plug 0 into anywhere a is.

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

w(a) = a - 1

The value of the function at a = 0 will be

w(0) = 0 - 1

w(0) = - 1

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

need help with this one ​

Answers

Answer:

triangle 2.854e55

Step-by-step explanation:

god loves you!!!!!!!!!

Answers

Answer:

He loves you too!!

Step-by-step explanation:

Find - square root 36
A.+6
B.-6
C.6
D.18
Help the I

Answers

Answer:

A.

Step-by-step explanation:

Given
f
(
x
)
=

x

3
f(x)=−x−3, solve for
x
x when
f
(
x
)
=

2
f(x)=−2.

Answers

Answer:

-5

Step-by-step explanation:

Substitute every part of the equation where x appears with the value of x, which is -2

f(-2)=-2-3

f(-2)=-5

So, f(x)=-5

The answer is -5 I hope this helps

Mark can type 20 words per minute. Carol can type 22 words per minute. Mark starts typing at 1:00 pm and Carol starts typing 6 minutes later. At 1:15 pm, both Mark and Carol stop typing. Together, how many words did Mark and Carol type between 1:00 and 1:15 pm?

Answers

Answer:

C. 498

Step-by-step explanation:

Total number of words typed by both Mark and Carol is 498.

Rate of typing by Mark = 20 word per minute

Rate of typing by Carol = 22 words per minute

Since, Mark starts typing at 1:00 pm  and stop at 1:15 pm.

So, time taken by Mark is 15 minute.

number of words typed by  Mark = [tex]20*15=300[/tex]

Since, Carol starts typing 6 min late , i.e.  at 1:06 pm  and stop at 1:15 pm.

So, time taken by Carol is 9 minute.

number of words typed by  Carol =[tex]22*9=198[/tex]

Total number of words typed by both Mark and Carol = [tex]300+198=498[/tex] words.

Learn more:

https://brainly.com/question/23145277

-45 + s = -105, s = ?

Answers

Answer:

s = - 60

Step-by-step explanation:

-45 + s = -105

s = -105 + 45

s = - 60

The Council of American Beet Farmers estimate that 60% of Americans love beets.

Based on this estimation, determine the probability for each of the following scenarios. Round your answers to three decimal places.

In a survey of 22 Americans, exactly 15 of them will respond that they love beets.

Answers

Answer: 13% or  0.1314

Step-by-step explanation: Binomial PDF on the calculator or by hand its

22 nCr 15 (0.60)^15(1-0.6)^7 = 0.131378

The probability in a survey of 22 Americans where exactly 15 of them will respond that they love beets given that 60% of American love beets is 0.131.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The binomial probability distribution:

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

Now,

p = 60% = 60/100 = 0.6

1 - p = 1 - 0.6 = 0.4

n = 22

r = 15

Now,

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^{22 - 15}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^7[/tex]

= 0.1313

Thus,

The probability is 0.131.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

Evaluate: 12 divided by y+9d if y = 5 and d = 7

Answers

y + 9d = (5) + 9(7) = 68
12/68 = 6/34 = 3/17
The solution is 3/17

Answer:

0.25

12/5+(7x5)

Step-by-step explanation:

12/5+(7x5)

12/5+35

12/40

PLEASEE HELPPPppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Answer it yourself buddy (:

Step-by-step explanation:

PLEASE HELP!! I will mark brainliest

Answers

Answer:

the top one and bottom one

Step-by-step explanation:

Answer:

first and sixth

Step-by-step explanation:

they match

Write an equation of the line below ​

Answers

Answer:

ok.

Step-by-step explanation:

y=-1/1x+4. hope this helped :))

Answer: y= -8/8x + 4

or y=-x+4

Step-by-step explanation:

what is the value of d+3

Answers

Answer:

you need to explain

Step-by-step explanation:

rewrite using a single positive exponent 5^6/5^4

Answers

Answer:

Step-by-step explanation:

We can divide exponents by subtract 4 from 6. So, now we have 5^2 or 25.

The other way to solve to check our answer is to do the math.

5^6 = 15625

5^4 = 625

15625/625 = 25

So, we know we have the correct answer.

What power of 10 makes number 3 equal 3,000

Answers

Answer:

3 power of 10 makes number 3 equal 3000

Step-by-step explanation:

10*10*10=1000

3*1000=3000

Answer:

3 x 10^3

Step-by-step explanation:

3 x 10^3

3 x 1000

3000

hope this helps, pls mark brainliest :D

Solve the equation.
W+3/3 = - 4

Answers

Answer:

W=−5

r=3

hope this helps!!

4(x - 1) + 5x = 6x - 16
Please help me solve the equation

Answers

Answer:

x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−1)+5x=6x−16

(4)(x)+(4)(−1)+5x=6x+−16(Distribute)

4x+−4+5x=6x+−16

(4x+5x)+(−4)=6x−16(Combine Like Terms)

9x+−4=6x−16

9x−4=6x−16

Step 2: Subtract 6x from both sides.

9x−4−6x=6x−16−6x

3x−4=−16

Step 3: Add 4 to both sides.

3x−4+4=−16+4

3x=−12

Step 4: Divide both sides by 3.

3x/3=-12/3

x=-4

Answer:

4x-4+5x=6x-16, 9x-4=6x-16, 3x=-12, x=-4

Step-by-step explanation:

Solve the following equation for the value for x.
7(0.3x - 0.9) = 6x-0.6 (18 +4x)

Answers

The answer to the question is: x=3

Which symbol will make the number sentence true? 6/7 0.85

Answers

Answer:

6/7 > 0.85

hope this help

6/7 () 0.85

=6/7 () 85/100

=6/7 () 17/20

=120/140 () 119/140

∵120/140>119/140

∴6/7>0.85

Exercice1
1. Montrer que 5 et-3 sont des diviseurs de -15.
2. Montrer que pour tout entier naturel n, l'entier naturel n + 1 est un diviseur de l'entier n? - 1.
Exercice2
Pour tout entier relatif p, N = 2p? +4p-16 est-il un entier pair?
Exercice3
Sur le site touristique de Carnac, trois parcours en train sont proposés : circuit
court de 12 min en train vert, circuit standard de 21 min en train bleu, circuit long de
42 minutes en train rouge. Le départ se fait simultanément à 14 h. Une famille nom-
breuse ne réussit pas à trouver de la place ensemble et décide d'attendre la prochaine
occasion de prendre un train au choix.
Aquelle heure faut-il revenir au plus tôt pour avoir à nouveau le choix des trois trains ?
Svp aidez moi !

Answers

Step-by-step explanation:

step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out

Whats h to the power of itself

Answers

Answer:

h squared (h^2)

Step-by-step explanation:

h to the power of its self is just h squared

If I’m being completely honest with you dear I truly don’t know the answer to this question but I can see h at someone else is answering so the best of luck to you

Help please.
Which of the following answers has simplified the following expression by combining like terms correctly? 6b - 2a + 9 - b + 5a Group of answer choices
A 7a + 7b + 9
B 3a + 5b + 9
C 17ab
D none of these answers are correct

Answers

Answer:

B is the correct answer

Step-by-step explanation:

You have to do 6b- 1b 5b

-2a+5a= 3a

9

The table below shows the cost of comic books.

Number of comic books, 3, 4, 7, 10, Total cost, in dollars, 3.75, 5, 8.75, 12.50.

Based on the information in the table, which is the best prediction of the cost of 12 comic books?



$12

$9.60

$15

$16.25

Answers

15 because in the table 10=12.50 so to find how much 1 is you have to move the decimal one place to the left (1.25). Then you have to do 1.25x12 which gives you 15. Hope this helps!

In the diagram below, what is the ratio of unshaded parts to shaded parts?

4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded

Answers

Answer:

The answer is D.

Step-by-step explanation:

I hope this helps :D

Vocabulary Is every relation also a function? Use the drop-down menus to show and explain your answer.



Choose...
; A
Choose...
is a special type of
Choose...
where each input maps to exactly one output. In a
Choose...
, an input can have one or more outputs.

Answers

Answer:

19

Step-by-step explanation:

9+10 is not 21 it is 19.

If 2 tens make a 20 and 1 number is gone, 20-1=19

I need help, if is right I mark you as brainliest.


A. He made a division error.
B. He combined the variable terms incorrectly.
C. He combined the constants incorrectly.
D. He distributed -5 incorrectly.

Answers

Answer:

D. He distributed -5 incorrectly.

Step-by-step explanation:

Last option is the correct answer.

Answer:

Parker: D. He distributed -5 incorrectly.

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I agree with the person above, I also believe it is B, have a nice day, Merry Christmas

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

Can someone help me please

Answers

Answer:

31.42 m

Step-by-step explanation:

circumference = (pi)d

circumference = 3.14159 * 10 m

circumference = 31.4159 m

Answer: 31.42 m

Answer: circumference =31.42m

Step-by-step explanation:

Other Questions
What is the solution to the system of equations graphed below?On a coordinate plane, a line goes through (negative 5, 1) and (0, 3) and another line goes through (negative 5, 1) and (negative 4, 0).A. (5, 1)B. (1, 5)C. (3, 4)D. (4, 3) Anyone can find v and u?? Which factor is found in a scientific claim? endorsement by famous scientists data collection from only one facility similar results in multiple tests of the claim identical data across all tests of the claim 1 block: 19 houses = 20 blocks:???? Houses? A 4 inch by 6 inch picture is placed in a gram that creates a uniform border of x inches around the picture I NEED A PAPER ASAP HELP NEEDED how to find a theme of a story? Which of the following is equivalent to 2x(4x3) Question 4 HELPPPPPPPPPPPPP Right answer gets brainlist How would the Churchs power of excommunication affect the way people lived their lives? Will give crown help 3x-4 or = to 7plz help Muchas _____ indgenas han vivido en lo que hoy es El Salvador. ASAP PLZ HELP I WILL MARK BRAINLIEST Based on the diagram, what can you conclude about the pole of the magnet? O It is a south pole because the field lines spread out from this end. O It is a north pole because the field lines spread out from this end, O It is a south pole because the field lines enter the magnet at this end. O It is a north pole because the field lines enter the magnet at this end. Pls Help meh!! I have more Questions based on math coming up in a few seconds Juss pls give meh the best answer Conflict theorist believe that a. competition leads to deviance. c. both a and b b. social inequality leads to deviance. d. neither a nor b Please select the best answer from the choices provided A B C D The following information was available from the inventory records of Sheffield Corp. for January: Units Unit Cost Total Cost Balance at January 1 9200 $9.73 $89516 Purchases: January 6 6400 10.31 65984 January 26 7900 10.71 84609 Sales January 7 (7700 ) January 31 (11300 ) Balance at January 31 4500 Assuming that Sheffield does not maintain perpetual inventory records, what should be the inventory at January 31, using the weighted-average inventory method, rounded to the nearest dollar 1. Write an if statement that assigns 20 to the variable y, and assigns 40 to the variable z2. Write an if statement that assigns 10 to the variable b, and 50 to the variable c if the3. Write an if-else statement that assigns 0 to the variable b if the variable a is lessthan 10. Otherwise, it should assign 99 to the variable b.Has and how does it work?Algorithm Workbenchof the variable x is greater than 100.variable a is equal to 100. Urinary JourneyName:For your journey through the urinary system you must be made small enough to be filtered through the filtrationmembrane from the bloodstream Into the renal You will be injected into the subclavian vein and mustpass through the heart before entering the arterial circulation. As you travel through the systemic circulation you havea least 2 minutes to relax before reaching the ___(2).__artery, feeding the kidney. You see the kidney loomingbrownish red through the artery wall. Once inside, the blood vessels of the kidney become increasingly smaller untilfinally you reach the _3_ arteriole, feeding into the filtering device, or ____.Once in the filter, youmaneuver yourself so that you are directly in front of a pore. Within a fraction of a second, you are swept across thefiltration membrane into the (5)_ part of the nephron. Drifting along, you lower the specimen cup to gatheryour first filtrate sample for testing. You study the readout from the sample and note it is very similar in composition to_66) with one exception. There are essentially no ____. Your next sample doesn't have to be takenuntil you reach the "hairpin" or using proper terminology the_8__. As you continue your journey, you noticethat the tubule cells have dense fingerlike projections extending from there surface into the lumen of the tubule.These are which increase the absorptive surface area because this part of the tubule is very active in theprocess of __(10)_ . While in the "hairpin" you collect your second sample. The readout verifies that theconcentration of the filtrate is much ___(11) and there are few nutrients such as ____(12)__and(13)__.There is a much higher concentration of _(14) wastes here and the color is yellow, indicatingthe presence of the pigment_(15)_ Gradually, you make your way up from the "hairpin and enter into an areawhere large molecules are being moved into the filtrate you know you have arrived in the (16) and arewitnessing the process of_(12)_ You continue along and realize that the water level has dropped and thestream have become more turbulent. You remember the role of the hormone_(18)__and think it must havebeen released to conserve water in the body. You take an abrupt right and then drop straight downward into a tubethat has other tubes and fluid entering into it. You realize you are in the_(19)_ headed for the rinor calyx. Youenter into a much calmer are and flow very tranquilly Into a tube on the opposite shore. Upon entrance into this tubeyou realize you are being squeezed rhythmically downward and you know you are in the _(20) _ Suddenly youfree-fall and splash into a large sea of urine, you know you have arrived at the _(21)_There appears to be a lotof fluld as the celling is getting closer and closer to you and suddenly the walls begin to gyrate and in a moment you arebeing propelled out and into your hosts__ _(22) to exit the body.