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

Which statement can you conclude is true from the given information?

Answers

Answer:

angle IJA is a right angle

What is the y-value of the solution of the system of equations given below?
3x + 2y = -6
y = 2x + 4

Answers

Point form: (-2, 0)
Equation form: x=2, y=0

Question is below thanks

Answers

Answer:

33.51

Step-by-step explanation:

There's a formula using the value of the angle but I don't remember it so the most easy way is:

A circle has an angle of 360°

so our section has an angle of 60

and we know that 360=60*6

so the area of the circle we divide it by 6 and we get the area we want

[tex]A=\pi r^2\\\\A=\pi (8)^2\\\\A=64\pi[/tex]

divide this by 6

[tex]A_1=A/6=64\pi/6\approx 33.51[/tex] units squared

Answer:

33.51

Step-by-step explanation:

hope it helps

(7+ 1 4) + 6 = 7 ( ■ + 1 6)

Answers

The answer for this is 4.

Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”

Answers

The answer is 1,000 dollars. :)

When he returns, the total will be "$1,000".

Given charges are:

For airfare,

= $412.00

For conference registration,

= $378.00

For food,

= $210.00

The total charges will be:

= [tex]Airfare+Conference \ registration+Food[/tex]

= [tex]412+378+210[/tex]

= [tex]1,000[/tex] ($)

Thus $1,000 is the right answer.

Learn more:

https://brainly.com/question/18057159

HELP ASAP
what are the root functions?

Answers

A root function is a function expressed by x^1/n for positive integer n greater than 1.

35 points plz help
Evaluate −4(14)6x for x=13.

Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

how do you find a slope

Answers

Answer:

rise/run

Step-by-step explanation:

rise meaning the y value, run meaning the x value

In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140

Answers

Answer:

110,........................

What is the missing numbers to this equation please
? - (? × ?)=90

Answers

Answer:

-0(10 x 9)=90

28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?

Answers

Answer:25 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

3/12 as a present is 25%

!!! time sensitive please answer !!!

consider the sequence below. 3, 1, 1/3, 1/9

select the explicit function which defines the sequence

A. f(n) = 1/3 • 2^(n-1)

B. f(n) = 2 • (1/3)^(n-1)

C. f(n) = 3 • (1/3)^(n-1)

D. f(n) = 1/3 • 3^(n-1)

Answers

D is the right answer

Draw the graph of y = 2x + 1

Answers

Answer:

Draw a dot at (0, 1)

Draw dot at (-1, -1)

Draw dot at (1, 3)

Connect the dots with a straight line

Step-by-step explanation:

The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).

The slope is 2, also written as [tex]\frac{2}{1}[/tex]. This means that the line goes up 2 units for each 1 unit to the right.

What investment/savings options has the greatest risk?

Answers

Stocks / Equity Investments include stocks and stock mutual funds. These investments are considered the riskiest of the three major asset classes, but they also offer the greatest potential for high returns.

3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?

Answers

Answer:  6 drops of blue

==================================================

Explanation:

We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3

Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.

------------------

Another approach:

x = some positive real number

(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)

2/3 = 4/x

2x = 3*4 .... cross multiply

2x = 12

x = 12/2 .... divide both sides by 2

x = 6

So 6 drops of blue go with 4 drops of red.

Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?

Answers

Answer:

14

Step-by-step explanation:

Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro

Answers

23 I think is the answer

PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."


What’s my number? Show your work and explain how you know your answer is correct.

Answers

Answer:

The number is 24

Step-by-step explanation:

This can be written algebraically as:  [tex]\frac{x}{4}+7=13[/tex]

Solve for x, in which the steps are shown below.

Thanks for the question! :)

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 of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20​

Answers

Answer:

D. 15/20

Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.

Answer:

D 15/20

Step-by-step explanation:

Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)

Answers

Answer:

6(7+)

Step-by-step explanation:

1) Start by solving the original equation

42 + 12 = 54

2) Solve the other equations until you find a match

2a) Start with what's in the parenthesis

7(6+5) = 7(11) = 77

2b)

2(40+6) = 2(46) = 92

2c)

6(7+2) = 6(9) = 54

This is your answer

2d)

10(32+2) = 10(34) = 340

Answer: 6(7 +2)

Step-by-step explanation:

Calculate 42 + 12, which is 54.

Calculate 7(6 + 5), which is 7 * 11 = 77.

Calculate 2(40 + 6), which is 2 * 46 = 92.

Calculate 6(7 + 2), which is 6 * 9 = 54.

Calculate 10(32 + 2), which is 10 * 34 = 340.

And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.

Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =

Answers

9514 1404 393

Answer:

  A: x = -1  and  y = 3

  B: x = 12  and  y = 16

Step-by-step explanation:

In each case, you can add the opposite of the constant to find the variable.

Equation A

  (x +yi) +(4 -7i) = (3 -4i)

  (x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides

  x +yi = (3 -4) +(-4-(-7))i = -1 +3i

  x = -1  and  y = 3

__

Equation B

  (x +yi) -(-6 +14i) = (18 +2i)

  (x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides

  x + yi = (18 -6) +(2 +14)i = 12 +16i

  x = 12  and  y = 16

Answer:

In equation A: x=-1 and y=3

In equation B: x=12 and y=16

Step-by-step explanation:

Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.

Answers

Answer:The answer is C....

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

HELP DUE IN 2 MIN
The ratio of boys to girls in a classroom is 6 to 5. If
there are a total of 18 boys in the classroom, find
the number of girls in the classroom.

Answers

Answer:

15

Step-by-step explanation:

18/3=6

15/3=5

Answer:

15

Step-by-step explanation:

If the ratio is 6:5 and we know the boys are 18, we have 18:?

18/6=3, so we have to do 5*3. 5*3=15.

The ratio is 18:15, the number of girls in the classroom is 15

Which expression is equivalent to one over three p + 15?

one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)

Answers

Answer:

1/3p + 5

Step-by-step explanation:

1/3 of 15 is 5

If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5

Answer:

a) 1/3 (p+45)

Step-by-step explanation:

that's the answer

What is the answer to this radical functions equation ASAP

Answers

It’s d
Hope it help
Mark Brainly

Which of the following statements are not proportional?
5/4 = 10/8
7/5 = 35/25
2/3 = 12/18
4/6 = 9/12

Answers

Answer:

4/6 = 9/12 is not proportional

Step-by-step explanation:

4th one is not proportional

What is the sum of 4.3943 and 5.4157?
A.9.71
C. 9.81
B.9.72
D.9.82​

Answers

Answer:

9.81

Step-by-step explanation:

You have to add them up: 4.3943 +

                                            5.4157

                                            ----------

                                            9.8100

C - 9.81 hope this helps:)

{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not

Answers

Answer:

The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.

Domain: -3, -5, -6, -9, 0

Range: 7, -8, -1, -3

Is it a function? Yes

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