? Write 126 as a product of primes. Use index notation when giving your answer.​

The price of one adult ticket is $15 and the price of one child ticket is $8.

Two sets of equations can be derived from this question:

14a + 14c = 322 equation 1

12a + c = 188 equation 2

These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.

In order to determine the cost of the adult's ticket multiply equation 2 by 14

168a + 14c = 2632 equation 3

Subtract equation 1 from 3

2310 = 154a

Divide both sides by 154

a = $15

To determine the cost of the children's ticket substitute for a in equation 1

14(15) + 14c = 322

210 + 14c = 322

322 - 210 = 14c

112 = 14c

c = $8

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Answer:

sequence of numbers such that the difference between the consecutive terms is constant.

the constant is 2 (Ex. 18-2=16-2=14....) and your answer is

yes

Answer:

It is commutative property   (in my opinion)

Step-by-step explanation:

-1 + 5= 4       5 - 1 =4

Both give you the same answer, thus the arrangement of the INTEGERS does not matter.

Note that I mentioned integers since this is not possible for natural numbers alone. They are not closed under subtraction. Here you -1 and 5 both of  which are integers, their SUM  give you an integer as well.

Hope this explanation helps!!

Using simple interest, it is found that she has to pay $24,300 more in interest.

The amount of money after t years, in simple interest, is given by:

[tex]A(t) = P(1 + kt)[/tex]

In which:

In this problem:

The amount with 15% interest is:

Here, [tex]k = 0.15[/tex]

[tex]A(6) = 45000[1 + 0.15(6)] = 85,500[/tex]

The amount with 6% interest is:

Here [tex]k = 0.06[/tex].

[tex]A(6) = 45000[1 + 0.06(6)] = 61,200[/tex]

The difference is:

85,500 - 61,200 = 24,300

She has to pay $24,300 more in interest.

A similar problem is given at https://brainly.com/question/24989537

Answer:

I cracked the code on my journey to find the correct answer to this problem

The answer is D or $14,814.00

Step-by-step explanation:

This is more than simple interest, this is something to do with amortization

this is a monthly payment calculator for a car loan

[tex]A=p\cdot\frac{\left(r\left(r+1\right)^{n}\right)}{\left(\left(1+r\right)^{n}-1\right)}\\[/tex]

This isn't exactly what we are looking for since we aren't looking for monthly payments but this can still help.

So our variables are [tex]p=45,000[/tex], where p is for principle

r is the loan rate in monthly terms or divide the interest by 12 which is [tex]r=0.0125[/tex] for when 15% is interest and [tex]r=0.0005[/tex] when 6% is interest.

and n is years times 12 or monthly periods involved so [tex]n=72[/tex]

so our equation is [tex]45000\cdot\frac{\left(0.00125\left(0.00125+1\right)^{72}\right)}{\left(\left(1+0.00125\right)^{72}-1\right)}[/tex]

which is equal to 951.53

This number is our monthly payment

so for the full cost is [tex]951.53*12*6[/tex]

that equals 68510.16

now for when interest is equal to 6%

[tex]45000\cdot\frac{\left(0.0005\left(0.0005+1\right)^{72}\right)}{\left(\left(1+0.0005\right)^{72}-1\right)}[/tex]

this is equal to [tex]745.78*12*6[/tex]

so for the full cost is

so the extra interest is equal to the larger number minus the smaller one

[tex]68510.16-53696.16[/tex]

which equals

14,814.00 exactly

*mic drop

Answer:

8x+13

Step-by-step explanation:

combine like terms

6x+2x=8x

8+5=13

final answer 8x+13

Answer:

The correct answer is 19 pencils.

Step-by-step explanation:

First, we have to multiply

57 x 4 = 228

Second, we have to divide

228 ÷ 19 = 12

Lastly, we write the answer in a complete sentence.

Each student got 19 pencils if there were no pencils left over.

Hope This Helps!

Answer:

Each student got 12 pencils

Step-by-step explanation:

57 times 4 = 228

228 divided by 19 =12

hope this helps :)

Answer:

16,200

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x-6=15

3x-6+6=15+6

3x=15+6

3x = 21

----   ----

3       3

x=7

Answer:

The correct choice is option B.  3,429

Step-by-step explanation:

When rounded to the nearest hundred, 3429 becomes 3400.

Answer:

3,429 --- right answer

Answer:

216 inches or 18 feet

Step-by-step explanation:

6.75*32=216 inches or 18 feet

The answer would be X > -5

Answer:

If the question is

12 - 1 + 11

Then the answer is

22

If the question is

12 + 1 + 11

Then the answer is

24

Step-by-step explanation:

Hope this is what you were looking for :)

Answer:

nothing DONT worry pop lollll

Answer:

Give me the brainlest, please?

Step-by-step explanation:

Answer:

m = 3/2

Step-by-step explanation:

3y = -2x + 6

y = -2/3x + 2

Perpendicular slope = inverse = 3/2

Answer: No

Step-by-step explanation: Tell Maria to do the problem again.

If Maria added 45,273 and 35,687 and got a sum of 70,960 : Yes, Maria's answer is reasonable.

When we add 45,273 and 35,687 we have:

45,273 + 35,687 = 80,960

Maria's response, however, is 70,960, which is 10,000 below the accurate total. This indicates that Maria most likely added incorrectly.

The rationality of the response is demonstrated by the fact that Maria's answer is considerably less than the right answer. This 10,000-difference discrepancy is not a trivial error and suggests that an addition error most likely occurred.

Learn more about sum here:https://brainly.com/question/25734188

#SPJ3

Answer:

There would be 2,120 dollars in that account

Answer:

Step-by-step explanation:

A=P(1 - r/n)^nt

A = 5,000 (1 - 0.03/1)^(1)12)

A = 5,000 (1 - 0.03)^2

A = 5,000 (0.9)^2

A = $5,314.06

Answer:

3(4)^2+7(4)(3)-6(3)^2

= 78

Answer:

f(-5) = -5

Step-by-step explanation:

Whereas in an equation it is always, "f(x) = x + a/b/c (etc.)"

f(3) = x is 3

f(4) = x is 4

f(-5) = x is -5

Where we find where -5 is on the x-axis, it touches the graph on y = -5

Answer:70

Step-by-step explanation:

Cuz its start at 10 and its 10 20 30 40 50 60 70 so its 70

Answer:

y = 4x + 14

Step-by-step explanation:

y-intercept: 2 - (4)(-3) = 2 + 12 = 14

y = 4x + 14

Answer:

angle 1 = 61°

angle 2 = 119°

angle 3 = 61°

angle 4 = 119°

angle 5 = 119°

angle 6 = 61°

angle 7 = 119°

Step-by-step explanation:

angle 1 = 61° (corresponding angles are always equal)

angle 1 + angle 2 = 180° (linear pair)

=> 61° + angle 2 = 180°

=> angle 2 = 180° - 61° = 119°

angle 2 = 119

angle 1 = angle 3 = 61° (vertically opposite angles are equal)

angle 2 = angle 4 = 119° (vertically opposite angle are equal)

angle 4 = angle 5 = 119° (interior opposite angles are equal)

angle 6 = 61° (vertically opposite angles are equal)

angle 5 = angle 7 = 119° (vertically opposite angles are equal)

Hope it helps :)

Answer:

x-18°+24°=180°[co interior angle]

x+6°=180°

x=180°-6°

x=174°

answer

The quadratic equation with the given conditions is:

[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]

The standard form of a quadratic equation with roots [tex](x_1,0)[/tex] and [tex](x_2,0)[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2)[/tex]

In which a is the leading coefficient.

In this problem, the roots are [tex]x_1 = -6, x_2 = 4[/tex], thus:

[tex]f(x) = a(x - (-6))(x - 4)[/tex]

[tex]f(x) = a(x + 6)(x - 4)[/tex]

[tex]f(x) = a(x^2 + 2x - 24)[/tex]

It passes through point (2,-3), which means that when [tex]x = 2, f(x) = -3[/tex], and this is used to find a.

[tex]a(2^2 + (2)(2) - 24) = -3[/tex]

[tex]-16a = -3[/tex]

[tex]a = \frac{3}{16}[/tex]

Thus, the equation is:

[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]

A similar problem is given at https://brainly.com/question/17987697

Answer:

question is blurry plz ss it carefully

Step-by-step explanation:

this is the answer thank you

Answer:

below

Step-by-step explanation:

I didn't see the picture you try to post... but, the formula for rotation counterclockwise 90° is (x,y) original -> (-y,x) rotated

For rotation clockwise 90°: (x,y) -> (y,-x)

Answer:

[tex]2x = 126 \\ x = 126 \div 2 = 63 \\ \\ z = y = x = 63[/tex]

Answer:

-3

Step-by-step explanation: