A rectangle has a length of (x + 3) centimeters and a width of (½ x) centimeters. If the perimeter is 16 centimeters, what is the length of the rectangle. Write and solve an equation whose solution will give the length of the rectangle.

Answers

Answer 1

Answer:

length6.3cmwidth=1.66cm

Step-by-step explanation:

Step one:

given data

length =(x + 3)cm

width= (½ x)cm

perimeter= 16cm

Step two:

we know that the perimeter of a rectangular shape is expressed as

P=2L+2W

substitute we have

16=2(x+3)+2 (½ x)

solve for x

16=2x+6+x

16-6=3x

10=3x

divide both sides by 3

x=10/3

x=3.3

we know that length =(x + 3)cm

length =(3.3 + 3)= 6.3cm

width= (½ x)cm

width= (½*3.3)= 1.66cm


Related Questions

Heeelp pls pls
Please math

Answers

Answer:

#5:  2000+80z

#6:  2.63a+4.5b

#7: 5(9c+2d)

#8: 3(9-3x+5y)

Step-by-step explanation:

Answer:

5. 2000+80z

6. 2.625a-4.5b

7. 5(9c+2d)

8. -3(3x-5y-9)

The state transportation commission counted cars traveling east and west across a toll bridge. 40% of the 50,000 cars counted were traveling east. How many eastbound cars did the commission count? please help me :(

Answers

Answer:

If you are asking what is 40% of 50,000, then it should be 20,000.

Step-by-step explanation:

What are the x and y-intercepts of the line described by the equation?


2x + 4y = 12.4




Enter your answers, in decimal form, in the boxes.


x-intercept =


y-intercept =

Answers

X-intercept =(6.2,0)
Y-intercept=(0,3.1)
Plz mark me brain list

Solve for x. Thank you

Answers

Answer:

x = 11

Step-by-step explanation:

9x + 1 + 100 = 180

9x + 101 = 180

9x = 99

x = 11

Answer:

x = 11

Step-by-step explanation:

the angles are alternate exterior and therefore equal eachother

so 100 = 9x- 1

100- 1 = 9x-1 + 1

99 = 9x

99/9 = 9x/9

11 = x

Finding the median
{12, 9, 10

Answers

Answer:

in this case its 10

Step-by-step explanation:

Finding the media means finding the middle in this case there is 3 numbers u would put them numerical order and count to see which is in the middle.

Factorise the following: x^2-14x+48

Answers

Answer:

(x-8)(x-6)

Step-by-step explanation:

To factor this, you need the numbers that will multiply together to give you the third number (48 in this case) and add together to give you the second number (-14). -8 * -6 = 48. -8 + -6 = -14

I’m sorry I’m not actually answering you this is just so I can ask my questions bc I have to answer people

can u please help me​

Answers

Answer:

first one

Step-by-step explanation:

bcz it is

help please ! ill give brainliest if correct

Answers

9514 1404 393

Answer:

  a) (-5±√10)/3 ≈ {-2.721, -0.613}

  b) (6±√21)/5 ≈ {0.283, 2.117}

Step-by-step explanation:

a) The relevant coefficients are ...

  a = 3, b = 10, c = 5

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot5}}{2\cdot3}=\dfrac{-10\pm\sqrt{40}}{6}\\\\\boxed{x=\dfrac{-5\pm\sqrt{10}}{3}\approx\{-2.721, -0.613\}}[/tex]

__

b) The relevant coefficients are ...

  a = 5, b = -12, c = 3

  [tex]x=\dfrac{-(-12)\pm\sqrt{(-12)^2-4\cdot5\cdot3}}{2\cdot5}=\dfrac{12\pm\sqrt{84}}{10}\\\\\boxed{x=\dfrac{6\pm\sqrt{21}}{5}\approx\{0.283, 2.117\}}[/tex]

a new car was purchased in 2005 for $20,000. it depreciates at a rate of 9%. what year will the car have a value of $10,000

A.2016
B.2008
C.2010
D.2012​

Answers

Answer:

Step-by-step explanation:  2012

Answer:

The second method is estimating the initial value of the car. Let's assume you were offered to buy a three-year-old car for $12,000. If you input the value into the "3 years" box, the car depreciation calculator will display the initial value of the car - in this case, over $20,500. You can now compare it to the price of a brand new car.

Step-by-step explanation:

Which graph shows a line with a slope of 2 and a y-intercept of 0?

Answers

Answer:

Its C

Can I please get a Brainlist please thx.

Step-by-step explanation:

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The graph of Option C shows a line with a slope of 2 and a y-intercept of 0.

Option C is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line has a slope of 2 and the y-intercept is 0.

This means,

The line has to pass through y = 0.

i.e (0, 0)

Now,

We see that,

Options B and C has the y-intercept at y = 0.

Option B.

Two points: (0, 0) and (-1, 2)

Slope = (2 - 0) / (-1 - 0) = 2/-1 = -2

Option C.

Two points: (0, 0) and (1, 2)

Slope = (2 - 0) / (1 - 0) = 2/1 = 2

We see that,

Option C has slope = 2.

Thus,

The graph of Option C shows a line with a slope of 2 and a y-intercept of 0.

Option C is the correct answer.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

A music player was marked down by 1/4 of the original price. If the sales price is $128, what is the original price? If the music player was marked up by ½ before it was placed on the sales floor, what was the price that the store paid for the player? What is the difference between the discount price and the price that the store paid for the music player?

Answers

Answer:

Step-by-step explanation:

Let the original price be represented by x.

1. [tex]\frac{1}{4}[/tex] of x = x - 128

[tex]\frac{x}{4}[/tex] = x - 128

x - [tex]\frac{x}{4}[/tex] = 128

4x - x = 4 x 128

3x = 512

x = [tex]\frac{512}{3}[/tex]

  = 170.67

x = 170.67

The original price is $170.67.

2. If the price of the music player was marked up by ½ of its original price, its new price would be;

170.67 + (170.67 x ½)   = 170.67 +85.335

                                     = 256.005

                                     ≅ $ 256.0

The price paid by the store for the music player is still the original price i.e $170.67.

3. The difference between the discounted price and the price paid by the store can be determined by;

price paid by the store - the discounted price of the music player

= $170.67 - $128

= $42.67

Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. Which of these statements is correct?

Answers

Answer:

How much money per pound of each?

Step-by-step explanation:

FUNDRAISERS The Band Boosters had custom T-shirts made for homecoming that they plan to sell for $10 each. They
paid a $25.90 setup fee and $8.15 per shirt to have the shirts made. How many shirts do they need to sell to break even?
If x represents the number of shirts, write an equation to represent the situation.
Write an equation

Answers

Answer:2 I think?

Step-by-step explanation:

The required expression for the shirts they need to sell to break even is y = 25.90 + 8.15x.

Given that,
T-shirts made for homecoming that they plan to sell for $10 each.
They paid a $25.90 setup fee and $8.15 per shirt to have the shirts made.
How many shirts do they need to sell to break even is to be determined?

What is the equation?

The equation is the relationship between variables and represented as  y =ax +b  is an example of a polynomial equation.

Let, x represents the number of shirts and y be the total cost for the number of x shirts,
They paid a $25.90 setup fee and $8.15 per shirt to have the shirts made.
Implies,
The total cost of x shirts = $8.15x
Total spend on the manufacturing of x shirts,
y = $25.90 + 8.15x

Thus, the required expression for the shirts they need to sell to break even is y = 25.90 + 8.15x.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Please Help!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

since 6-2=4 i assume that it's the same for 9 which equals 7

this may or may not be wrong

Hii!!
can someone help me with this problem.
Jenna has $30 in her bank account. She needs more than $250 to buy a new pair of sneakers. She is able to save $20 per week. Let w represent the number of weeks she saves. How many weeks will she need to save before she has enough money for the sneakers?

Answers

Answer:

30+20w=250

w=11

Step-by-step explanation:

To do this, write this equation because 30 is what she had and 20w is the weeks. We don't know the weeks so use w. Finally, put=250

30+20w=250

To solve this, do 250-30=220

So 20w=220

Divide 220/20

W=11

Answer:

11 weeks

Step-by-step explanation:

The equation would be 20w + 30 = 250

so, we need to solve w.

20w + 30 = 250

- 30 - 30

20w = 220

___ ____

20 20

w = 11

what is the number if 50% of 25% of the number is 96

Answers

Answer:

768

Step-by-step explanation:

because 50 percent of the num is 96 you double that and then multiply by four

768 I am pretty sure !! Good luck

The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: What does the point (0, 0) on the graph represent? (4 points) The cost of zero bags of caramel corn The cost of one bag of caramel corn The cost of two bags of caramel corn The cost of three bags of caramel corn​

Answers

Answer:

3

Step-by-step explanation:

When you add it up you get 3

Answer:

The answer is A, The cost of zero bags of caramel

The engine torque y (in foot-pounds) of one model of car is given by y=−3.75x2+23.2x+38.8, where x is the speed (in thousands of revolutions per minute) of the engine. a. To the nearest ten, what is the engine speed that maximizes torque? revolutions per minute To the nearest hundredth, what is the maximum torque? ft-lbs Question 2

Answers

Answer:

Step-by-step explanation:

If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8

The engine speed is at maximum if dy/dx = 0

dy/dx = -2(3.75)x+23.2

dy/dx = -7.5x + 23.2

since dy/dx = 0

0 =  -7.5x + 23.2

7.5x = 23.2

x = 23.2/7.5

x = 3.093

Hence the maximum torque is 3.09 rev/min

LeeAnn is bringing her sick cat Snowball in for a series of appointments at the veterinary clinic. Her total cost over the course of treatment will be $250 for tests and medicine plus $45 per appointment, a. Part A Write an equation to show the total cost, t, she will owe. Part B The clinic offers LeeAnn a 25% discount off of her total cost. Write an equation to show her updated cost. Part C What will be LeeAnn's total discounted cost of Snowball's treatment requires six veterinary appointments? Form B Show your work.

Answers

Answer:

Part A: y = $250 + $45x

Part B: U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: $390

Step-by-step explanation:

Part A: In this scenario, we have fixed costs for the treatment and two variables, one of which is the number of appointments which is represented by the letter x and the total amount of costs which is represented by the letter y in the following equation...

y = $250 + $45x

Part B: Now we have the equation for the total cost we can update it to add the 25% discount. Since this is a discount it means that it is being subtracted from the 100% original price. Therefore, we need to multiply the total cost by the decimal form of 75% (100 - 25) which we can get by dividing the percentage by 100 like, which gives us 0.75. Now we multiply this value by the total cost in order to get the updated cost (U).

U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: Now we can substitute the number of appointments variable (x) by 6 and solve for U.

U = ($250 + $45x) * 0.75

U = ($250 + $45(6)) * 0.75

U = ($250 + $270) * 0.75

U = $520 * 0.75

U = $390

Just answers. No explanation needed. ASAP. WILL GIVE BRAINLIEST!!!

Answers

YEETTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT I FEEL BAD BUT

- 2 - 5x = -16 for x​

Answers

[tex]x = 2 \frac{4}{5} x =2.8[/tex]

Have a good day

hi i need help in math pls i am really bad plssssssss

Answers

Answer:

The answer is  a= [tex]\frac{8x^2+11x+1}{2}[/tex]

Step-by-step explanation:

Combine like terms and we get,

[tex]24x^2+83x+3=6ax[/tex]

[tex]\frac{24x^2+33x+3}{6x} =a[/tex]             divide both sides of the equation by ax, and simplify further,

[tex]\frac{x(8x^2+11x+1)}{2}[/tex]                          notice that we can reduce the 24 over 6 1/2,

[tex]\frac{8x^2+11x+1}{2} =a[/tex]                 distribute and simplify further

And a=[tex]\frac{8x^2+11x+1}{2}[/tex]

Caleb read a total of 30 pager over 2 hours. After a total of 3 hours of reading this week, how many pages will Caleb have read in all? Solve using unit rates

Answers

Answer:

45 pages

Step-by-step explanation:

Caleb read a total of 30 pager over 2 hours.

To find the unit rates

2 hours of reading = 30 pages

1 hour of reading = x

Cross Multiply

2× x = 30 × 1

2x = 30

x = 30/1

x = 15 Pages.

Hence, he read 15 pages per hour

After a total of 3 hours of reading this week, how many pages will Caleb have read in all?

If;

1 hour = 15 pages

3 hours = x pages

Cross Multiply

x = 3 × 15 pages

x = 45 pages

Hence, Caleb would have read 45 pages in all

At a carnival, 58 of the games cost $1. Another 2.5% of the games cost $2. What percent of the games do not cost $1 or $2?

Answers

Answer:

35%

Step-by-step explanation:

5/8 is 62.5%

2.5% + 62.5% = 65%

100%-65% = 35%

35% of the games do not cost $1 or $2

Answer:  35%

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME THIS IS SO CONFUSING AND I DON'T UNDERSTAND ANYTHING PLZZ HELP!



An expression is given.(first image)




Which are equivalent to the given expression? Select each correct answer. And Explain? (second image)

Answers

Answer:

i got -2y + 3/2 x + 7/4

so I think is d

It takes 43 facial muscles to frown. This is 26 more muscles than it takes to smile. Write and solve an equation to find the number of muscles it takes to smile. (example: s + 1 = 4)

Answers

Answer:

Number of facial muscles it takes to smile, S = 20

Step-by-step explanation:

Let

Number of facial muscles it takes to smile = S

Number of facial muscles it takes to frown, F = 46

This is 26 more muscles than it takes to smile

F = S + 26

46 = S + 26

Subtract 26 from both sides

46 - 26 = S + 26 - 26

20 = S

S = 20

The number of muscles it takes to smile is 20

A pet store has 8 dogs, 12 turtle, and 3 cats. Write a ratio for each of the following situations.

Turtles to dogs:
Dogs to turtles:

Answers

Answer: 12 Turtles to 8 dogs

               8 dogs to 12 turtles

Step-by-step explanation:

Hope this helps and have a marvelous rest of your day!

PLZ HELP AND HURRY
Oliver randomly draws a marble from a bag of colored marbles, and notes its color. He then draws another marble without replacing the first one.

In this experiment, the event of drawing the second marble is dependent on the event of drawing the first marble. What can be changed in this experiment so that these events become independent?
A.
The second marble should be drawn by looking into the bag.
B.
It is not possible to make the second event independent of the first event.
C.
The first marble should be replaced in the bag before drawing the second marble.
D.
A different-colored marble should be added to the bag before drawing the second marble.

Answers

Answer:

If this were my test, i would pick D but since its yours, i thought about this answer, so correct me if i still got this wrong.

Step-by-step explanation:

B) It is not possible to make the second event independent of the first event.

since the event is based off the same action the person made before the similar event.

Answer:

independent

Step-by-step explanation:

Select the correct answer.
Evaluate the following expression when x= -5 and y= 25
5|x| - y3 over x
A. 620
В. 3,120
C. -3,130
D. -630

Answers

5(-5)-(25)³ over -5 = -25-15625 over -5 = -16250/-5 = 3,130

FIRST to answer and get it CORRECT will get brainliest, 13 points , and a thanks:) pls leave an explanation on how u got ur answer if possible :)

Answers

Answer:

Yes, john did make his scale factor the right way, because

Step-by-step explanation:

3 x 2.5 = 7.5, Seen on the right figure/shape/parallelogram

2 x 2.5 = 5, Seen on the right figure/shape/parallelogram

Edit:

Brainliest? :)

Answer:

Yes he did it correctly

Step-by-step explanation:

The scale factor is the number you get after you divide the values of the corresponding sides of both shapesFor this example the 2 side is similar to the 5 side and the 3 side is similar to the 7.5 side. So we make ratios from the first figure to the second figureThat will 2 from the first to 5 five from the second so 2 : 5Then 3 from the first to 7.5 from the second so 3 : 7.5The scale factor must be same for every ratio, or else the transformation is incorrectCheck the ratios, does [tex]2:5=3:7.5[/tex] ?[tex]2:5=\frac{2}{5} =0.4[/tex] [tex]3:7.5=\frac{3}{7.5} =0.4[/tex] yes, so it is a correct transformation
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