A bookmark has an area of 14 square centimeters and a perimeter of 18 centimeters. What are the dimensions of the bookmark?

Answers

Answer 1

Answer:

2 x 7

Step-by-step explanation:

a * b = 14

2a + 2b = 18

(a * b)/b  = 14/b Dividing both sides by b

a = 14/b

Substitute a in the perimeter equation

2(14/b) + 2b = 18

28/b + 2b = 18

2b - 18 + 28/b = 0

Multiply both sides by b

2b^2 - 18b + 28 = 0

Divide both sides by two

b^2 - 9b + 14 = 0

The Factors of 14 include -2 and -7 which add up to -9

(b - 2) * (b - 7) = 0

This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.

2 x 7


Related Questions

The total cost for a month at a fitness club is made up of a fixed fee and a cost per visit. Information about the total cost, C, in dollars, for n visits is shown below Determine a possible fixed fee, cost per visit and equation for the new total cost.

Answers

Answer:

C = n + 25

Step-by-step explanation:

The total amount of money is C, so the equation has to equal C. n is the cost per visit and then you add the fixed fee in which I chose 25

To rent a party room, customers
are charged an amount equal to the number
of hours they rent plus a $60 cleaning fee.
What is the cost of a 3-hour rental?

WILL MARK BRANLIEST !!

Answers

Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

-3x - 6+ (-1)
help!!!!

Answers

Answer:

-3x = 7 .  

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

Why is DB equal to tan(theta)?

Answers

Step-by-step explanation:

[tex]tan = \frac{opposite}{adjacent} [/tex]

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1


8
z
5
+
4
y

4
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8
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5
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Answers

Answer:

What???

Step-by-step explanation:

Cant see it?????

John filled his car gas tank with 21 gallons of gas. He paid $54.39. What was the price of 1 gallon

Answers

Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

Answer:

$2.59/gallon

Step-by-step explanation:

Given that

21 gallons = $54.39

Find the price per gallon.

21/1 = 54.39/price

price = 54.39/21

price per gallon = $2.59 (two Dollars and fifty nine cents)

____________________

#IndonesianPride - kexcvi

Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by the height. Explain to Jill why Jack's method works and is equivalent to her method.

Answers

Answer:

Step-by-step explanation:

Jack's method is equivalent because of the "law of commutative property", which means that multiplication problems have the same result no matter the order.

2x5 is the same as 5x2

Can someone solve this problem?
(4x^2)+99-4x(16x)

Answers

[tex](4x^2)+99-4x(16x)\\=4x^2+99-64x^2\\=-60x^2+99[/tex]

Is this what you want???

Hello
Can you help me to do these two exercises please I block on those please it is on the derivatives of a number

Thank you so much in advance!!!

Answers

Answer:

First rememeber that if we have a function like:

g(x) = x^n

then:

dg(x)/dx = g'(x) = n*x^(n - 1)

And also if we have:

g(x) = f(x) + h(x)

then:

dg(x)/dx = g'(x) = f'(x) + h'(x)

1) We have the function f(x) = (x + 1)^2

We can rewrite this as:

f(x) = x^2 + 2*x + 1

Using both things written above, we know that:

f'(x) = 2*x + 1*2 = 2*x + 2

And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:

f'(-2) = 2*-2 + 2 = -4 + 2 = -2

f'(-2) = -2

b) I suppose that this refers to the inverse function of f(x)

An inverse function is such that:

g( f(x)) = x

f( g(x)) = x

For f(x) = (x + 1)^2

The inverse will be something that first cancels that square, and then subtracts 1.

Then:

g(x) = √x - 1

if we evaluate this in f(x) we get:

g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x

Then the inverse function of f(x) is:

g(x) = √x - 1

This can also be written as:

g(x) = x^(1/2) - 1

Then the derivative of this will be:

g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)

Which expressions are equivalent to 4(x + 1) + 7(x + 3)? Select all that apply.
A 4x + 4 + 7x + 21
B 4x + 1 + 7x +3
C 11x + 25
D 2x+ 25
E11x + 4
F X+4 + x + 21

Answers

Answer:

C

Step-by-step explanation:

4(x + 1) + 7(x + 3) = 11x+25

Your social media ad costs $2.50 per thousand impressions. You get 3.14 million impressions. What is your approximate bill?

Answers

Answer:

7,850

Step-by-step explanation:

The approximate bill of impression is $7850.

What is multiplication?

A mathematical arithmetic operation is a multiplication. Moreover, it is the practice of repeatedly adding the same expression kinds.

Example: 2 + 3 means that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

Given:

Your social media ad costs $2.50 per thousand impressions.

You get 3.14 million impressions.

In a million,

there are 1000 of thousand in million.

So, there are 1000 times 3.14 of thousand impressions.

The amount in the bill,

= 3.14 x 1000 x 2.5

= $7850

Therefore, the bill is $7850.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ6

its math again so sorry

Answers

Answer:

589

Step-by-step explanation:

Answer:

the answer i think is 103 centimeters

Step-by-step explanation:

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann payed a Total of $49.10. (actual question is on screenshot below)

Answers

There would have been 21 miles in between the airport and her home

Question should guns be allowed to be at school for example can a security guard have a gun?

Answers

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

solve
y=-x+3
y=x^2+1

Answers

Answer:

[tex] - x + 3 = {x}^{2} + 1[/tex]

[tex] {x}^{2} + x = 2[/tex]

Answer:

Step-by-step explanation:

1st y=-x+3

Let's solve for x.

y=−x+3

Step 1: Flip the equation.

−x+3=y

Step 2: Add -3 to both sides.

−x+3+−3=y+−3

−x=y−3

Step 3: Divide both sides by -1.

−x/−1= y−3/−1

Answer:

x=−y+3

2nd queastion: y=x^2+1

In the image

Hope this helps :)

PLS BRAINLIEST

how to write an essay about citisenship

Answers

Essay Definition of Citizenship:

In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.

Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.

The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.

danielle did not complete 15 of her 200 assignments last year. Kim said that is 0.075 of her assignments and Kelly said it is 0.75 of her assignments. Who is correct and how do you know?

Answers

Answer:

Kim

is correct

Step-by-step explanation:

Here, we want to know who is correct between Kim and Danielle

From the question, what is not completed is 15 out of 200

To find what is not completed, we divide 15 by 200

Thus, we have;

15/200 = 0.075

This mean Kim is correct

slove the evolution 10-i=3​

Answers

Answer:

ans 7

Step-by-step explanation:

given

10_i=3

10_i_3=0

7=i

i=7

A company donates to charity every year as its contribution to society. If the company makes a profit in that year, 2/9 of the profit will be allocated for donation. If the company incurs a loss, the company will also allocate 0.05 of the loss for donation. If the company makes a profit of RM43.2 million in a certain year
and incurs a loss of RM2.5 million and RM6.5 million respectively in two consecutive years, calculate the total donations the company would have allocated for charity in those three years.


can someone please help meee

Answers

Answer:

RM10.05 million

Step-by-step explanation:

year 1 profit= RM 43.2m yr 2 loss =RM 2.5 myr 3 loss=RM 6.5 m

therefore:

2/9 of 43.2

=9.6m

5/100 of 2.5m

=125,000

5/100 of 6.5m

=325,000

therefore total donations are :

9,600,000+125,000+325,000

=10,050,000

I tried... hope it helps

I need help finding the first five terms of the following explicit formula and the sequence

Answers

Answer:

Step-by-step explanation:

Explicit formula of the sequence,

[tex]A_n=59+11n[/tex]

[tex]A_1=59+11(1)[/tex]

[tex]A_1=70[/tex]

[tex]A_2=59+11(2)[/tex]

[tex]A_2=81[/tex]

[tex]A_3=59+11(3)[/tex]

[tex]A_3=92[/tex]

[tex]A_4=59+11(4)[/tex]

[tex]A_4=103[/tex]

[tex]A_5=59+11(5)[/tex]

[tex]A_5=114[/tex]

Find the sum of the interior angle measures of each polygon.

Answers

Answer:

as I think 35-gon but not sure that much.

Answer:

900

Step-by-step explanation:

Sum of interior angles =(n-2)180

Number of sides = 7 - 2 =5

So 5 multiply 180

A ice skater jumped an turned 1 full circle in the air how many one degree angles did she turn through

Answers

Logical answer would be 360. There are 360 degrees in one Full Rotation (one complete circle around).

a-15=4a-3
if u dont want spam then dont answer

Answers

Step-by-step explanation:

Simplify the equation to find the value of a.

Subtract 4a from both sides:

[tex] - 3a - 15 = - 3[/tex]

Add 15 to both sides:

[tex] - 3a = 12[/tex]

Divide each side by -3:

[tex]a = - 4[/tex]

A customer pay 72$ for 18 sandwiches. If each sandwich cost the same amount , what is the cost per sandwich, in dollars?

Answers

Answer:

Each sandwich costs 4$.

Step-by-step explanation:

To find the answer we will divide 72$ by 18 and we get 4$.

The number of sandwiches and the total price of sandwiches are directly proportional.

Cost of 18 sandwiches = $72

Cost of 1 sandwich = $72/18

= $4

Hence the cost of 1 sandwich is $4.

Patricia buys a round dinner table. The radius of the dinner table is 6 meters.
What is the area of the table?

Answers

Answer:

113.04

π×6^2 is the solution of this

Answer:

area = 113.1 m²

Step-by-step explanation:

area = PiR²

area = (Pi)(6²) = 113.1 m²

please help question is in the picture

Answers

Answer:

tan ∅ = 15/8

Step-by-step explanation:

tan ∅ = 15/8

True or False? The measure of a tangent-chord angle is twice the measure of
the intercepted arc inside the angle.

Answers

The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.

According to the angle theorem, the angle formed by the intersection of the chord and tangent on a circle is twice the measure of the intercepted arc.

This means that the intercepted arc is twice the measure of the angle formed and not the other way round.

Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.

Learn more :https://brainly.com/question/4322607

Answer:

This is False

Step-by-step explanation:

express y= x² + 2x + 3 in the form of y= (x-h)² + k​

Answers

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

in AABC, the measure of angle A=x degree, the measure of angle B=(2x)degrees, and the measure of angle C=(6x+18)degrees. What is the measure of angle B?

Answers

Answer:

m<B: 36

Step-by-step explanation:

x + 2x + 6x + 18 = 180

9x + 18 = 180

9x = 162

x = 18

m<B:

2x

2(18)

36

Answer:

m<B=36°

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

That means the sum of m<A+m<B+m<C=180°

We're given that:

m<A=x°

m<B=(2x)°

m<C=(6x+18)°

we can substitute those values as m<A, m<B, and m<C

x+2x+6x+18=180

combine like terms

9x+18=180

subtract 18 from both sides

9x=162

divide by 9

x=18°

we found the value of x, but we're not done yet

The question asks to find m<B, which is 2x°

in that case, we can substitute our known value to find the measure of <B

m<B=2x°

m<B=2(18)°

m<B=36°

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