Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants to find the total cost for a day at the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost for a day at the amusement park. What could the number 12 represent in Mariana's equation?

Answer: 90

Step-by-step explanation:

90 / 3 = 30

90 / 5 = 14

90 / 10 = 9

Therefore, 90 is between 67 and 113. It is also a multiple of 3, 5, and 10.

Answer:

[tex]mnb^2 = ac(m+n)^2[/tex]

Step-by-step explanation:

Given

[tex]ax^2 +bx + c = 0[/tex]

Required

Condition that the roots is in m : n

Let the roots of the equation be represented as: mA and nA

A quadratic equation has the form:

[tex]x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0[/tex]

or

[tex]x^2 - (\frac{b}{a})x + \frac{c}{a} = 0[/tex]

We have the roots to be mA and nA.

So, the sum is represented as:

[tex]Sum = mA + nA[/tex]

[tex]Sum = A(m + n)[/tex]

And the product is represented as:

[tex]Product = mA * nA[/tex]

[tex]Product = mnA^2[/tex]

By comparing:

[tex]x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0[/tex]

with

[tex]x^2 - (\frac{b}{a})x + \frac{c}{a} = 0[/tex]

[tex]Sum = -\frac{b}{a}[/tex]

[tex]Product = \frac{c}{a}[/tex]

So, we have:

[tex]Sum = -\frac{b}{a}[/tex]

[tex]A(m + n) = -\frac{b}{a}[/tex]

Make A the subject:

[tex]A = \frac{-b}{a(m+n)}[/tex]

[tex]Product = \frac{c}{a}[/tex]

[tex]mnA^2 = \frac{c}{a}[/tex]

Substitute [tex]A = \frac{-b}{a(m+n)}[/tex]

[tex]mn(\frac{-b}{a(m+n)})^2 = \frac{c}{a}[/tex]

[tex]mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a}[/tex]

Multiply both sides by a

[tex]a * mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a} * a[/tex]

[tex]\frac{mnb^2}{a(m+n)^2} = c[/tex]

Cross Multiply:

[tex]mnb^2 = ac(m+n)^2[/tex]

Hence, the condition that the ratio is in m:n is

[tex]mnb^2 = ac(m+n)^2[/tex]

Answer: A

Step-by-step explanation:

Answer:

b

because he isnt fight nor wrong

Step-by-step explanation:

Given :

A rectangular page is to contain 36 square inches of print.

The margins on each side are 1 inch.

To Find :

The dimensions of the page such that the least amount of paper is used.

Solution :

Let, length and breadth of paper are x and y respectively.

Area is given by :

Area = xy    ....1)

xy = 36 inch²

Now, it is given than the margins on each side is 1 inch.

So, area of paper is :

A = ( x + 2 )( y + 2 )

We want area to be minimum.

Putting value of x from 1 , we get :

A = ( 36/y + 2 )( y + 2 )

Now, differentiating above equation and equating with 0 :

[tex]3 - \dfrac{108}{y^2}=0\\\\y = \pm 6[/tex]

Now, we know dimension cannot be negative.

So, y = 6 and x = 6 .

Therefore, length and breadth are 6 and 6 inch respectively.

The length are breadth is x = 6 and y = 6 inch respectively.

Given;

Each rectangular page is to contain 36 square inches of print.

The margins on each side are 1 inch.

We have to find ;

The dimensions of the page such that the least amount of paper is used.

 Therefore,

Let, length and breadth of paper are x and y respectively.

Area is given by :

Area = xy    

xy = 36 inch²

Now, it is given than the margins on each side is 1 inch.

So, Area of paper is :  A = ( x + 2 )( y + 2 )

We want area to be minimum.

Putting value of x from 1 , we get :

A = ( [tex]\frac{36}{y}[/tex] + 2 )( y + 2 )

Now, Differentiating above equation and equating with 0 :

[tex]3 -\frac{108}{y^{2} } = 0[/tex]

[tex]\frac{3y^{2} - 108 }{y^{2} } = 0[/tex]

[tex]3y^{2} - 108 = 0 \\3y^{2} = 108\\y^{2} = \frac{108}{3} \\y^{2} = 36\\y = 6[/tex]

then;  xy = 36

        6x = 36

         x =[tex]\frac{36}{6}[/tex]  

         x = 6inches

Now, we know dimension cannot be negative.

So, y = 6 and x = 6 .

Therefore, length and breadth are 6 and 6 inch respectively.

For more information about the Area of dimension click the link given below.

https://brainly.in/question/12894735

Answer:

6x - 6

Step-by-step explanation:

The only step necessary here is to simplify. We can subtract 18 from 12 since they are like terms.

6x - 6.

That's it! That's your final answer.

Answer:answer is the first one

Step-by-step explanation:

Collect like terms such as grouping the t and s variables together. The -3 should be included in the equation. Solution in pic below.

Answer:

C

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]\sqrt{125}[/tex] is equal to 5[tex]\sqrt{5}[/tex]

Since it is [tex]\sqrt{-125}[/tex], then you must have i as well

5i[tex]\sqrt{5}[/tex]

please give a heart to give thanks :)

a crown would be nice too :)

Answer:

Step-by-step explanation:

Well -8/-4 is 2 so that is the same

Answer:

17

steelers had 27

Step-by-step explanation:

The length of the gold wire that is 15 metres in millimetres is 15000 mm

The scientist is working with 15 metres of gold wire.

The wire is in metres.

Therefore, let's convert it millimetres.

1 m = 1000 mm

15 m = ?

cross multiply

length(mm) = 15 × 1000

length(mm) = 15000 mm

learn more on length here: https://brainly.com/question/308075

#SPJ2

Answer:

its 7 i got it right on the test :)

Answer:

X=2y+1

X-1/2=y

Answer:

$31.50

Step-by-step explanation:

the decrease will be $13.50

Answer:Son's age =2.5 years old

Step-by-step explanation:

Step 1

Let the  age of Kamla at marriage be represented as  x

Age after five  years = x+5

Given that today his  age is 1 1/4  times his age at marriage, Our equation to express his age  at marriage will be

x+ 5= (5/4)x

Multiplying 4 by both sides gives

4(x+5) = (5/4 x 4 )x

4x+20 = 5x

20=5x-4x

x= 20 years at Marriage

Therefore his present age = 20+5= 25

Step 2

Son' s age = 1/10 times his present age

Son's age = 1/10 x 25= 2.5 years old

Answer:

42 minutes

Step-by-step explanation:

Answer:

for the first answer : 36

for the second answer : 1 year and 3 months

Step-by-step explanation:

first answer :

ahe gets kicked out 2 times in 20 mins

6 hours = 6 × 60 mins = 360 mins

let the number of times she gets kicked out in 6 hours / 360 mins be "n"

therefore ;

n= (360×2) ÷ 20 = 36

therefore answer is 36 times.

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

second answer :

3 new tapes in 1 month

let the number of years be "n"

therefore:

3×12 = tapes per year = 36 tapes per year

so, n = 45÷36 = 1 (as quotient) year and 3 (as remainder) months.

answer : 1 year and 3 months

Answer:

211 months

Step-by-step explanation:

Feliks joins a local recreation center to play basketball the reception charges $20 annual fee plus additional $15 per month for the usage of the basketball courts Feliks prepays by writing a check for 3185 for how many months did he prepays for

Let the number of months that he prepays for be represented by m

Hence, we have the equation

$20 + $15 × m = $3185

Hence:

20 + 15m = 3185

Collect like terms

15m = 3185 - 20

15m = 3165

m = 3165/15

m = 211 months

Answer: 10

Step-by-step explanation:

hope this helps!

Answer 2  2/19

there is you answer

Step-by-step explanation:

1000% of 99 = 10 * 99 = 990.

Answer:

208

Step-by-step explanation:

169/65%=260= the original number

260 x 80% = 208

Answer:

208 is 80% of that number

Step-by-step explanation:

to find the number, take 65/100 (or 65%), and set it equal to 169/x (because x is the number that 169 is 65% of, so we need to find x)=> 65/100=169/x

Next, cross multiply to get 16900=65x

Divide both sides of the equation by 65 to get 260=x, which means that 260 is the mystery number that the question speaks of. Then, to get 80% of 260, set 80/100 equal to x/260=> 80/100=x/260

cross multiply to get 20800=100x

divide both sides by 100 to get 208

Therefore, the answer is 208

Answer:

Discriminant = -92

the equation has no distinct real numbers

Step-by-step explanation:

Given the function f(x) = 4x^2 + 2x + 6 where;

a = 4, b = 2 and c= 6

The discriminant is expessed as D = b^2 - 4ac

Substitute;

D = 2^2 - 4(4)(6)

D = 4 - 96

D = -92

Hence the discriminant is -92.

Since the discriminant is less than zero i.e D< 0, this shows that the zeros of the equation are not real but complex numbers. Hence, the equation has no distinct real numbers

Answer:

-92 is the discriminant

0 real value 0's

Step-by-step explanation:

Answer:

-1.75, -1 1/2, -3/4, 1/4, 0.75

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

5

Step-by-step explanation:

Answer:

Sources of electrical current

Step-by-step explanation:

Based on the information given the reason why

He/ She places a compass at different positions on a wall until the compass needle change to a direction was because the construction worker

was most likely using the compass to find the Sources of an ELECTRICAL CURRENT or where the ELECTRICAL CURRENT originated from reason been that ELECTRICAL CURRENT is the movement of electric charge from cathode to anode .

Answer:

D. Sources of electrical current

Step-by-step explanation:

I just took the test

Answer:

An equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

Step-by-step explanation:

Given the sequence

2,5,8,11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

here

computing the differences of all the adjacent terms

Using the nth term formula

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 2, d = 3

[tex]a_n=2+\left(n-1\right)3[/tex]

     [tex]=2+3n-3[/tex]

     [tex]=3n-1[/tex]

Thus, an equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

Answer:

1

Step-by-step explanation:

1

Answer:

D

Step-by-step explanation:

(f-g)(x) = 3ˣ  + 10x - (5x - 3)

          = 3ˣ + 10x - 5x  + 3    {Combine like terms}  

          = 3ˣ + 5x + 3

Answer:

d

Step-by-step explanation: