Mathematics College

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

need help with this one ​

Answers

Answer:

triangle 2.854e55

Step-by-step explanation:

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

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!

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

what is the value of d+3

Answers

Answer:

you need to explain

Step-by-step explanation:

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

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:

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

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

Answers

Answer:

A.

Step-by-step explanation:

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

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.

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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

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

Answers

Answer:

5²

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.

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

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

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

Answers

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

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

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

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:

PLEASEE HELPPPppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Answer it yourself buddy (:

Step-by-step explanation:

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:

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

-45 + s = -105, s = ?

Answers

Answer:

s = - 60

Step-by-step explanation:

-45 + s = -105

s = -105 + 45

s = - 60

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

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

Answers

Answer:

W=−5

r=3

hope this helps!!

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:

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

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

Answers

Answer:

He loves you too!!

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

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%

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