the water park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips
there. The senior class at High School A rented and filled 10 vans and 8 buses with 472 students. High School B rented and filled 9 vans and 8 buses
with 456 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Sort the steps in order to solve this system of equations.

Answer:

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

Step-by-step explanation:

Given parameters:

    Temperature at 8pm = 6°C

    Temperature at 2am = decreased by 13°C

Unknown:

Temperature at 2am

Solution:

Since this is a temperature decrease problem, the temperature at 2am should be lesser.

 Temperature at 2am = Temperature at 8pm - Temperature decrease

                                    = 6°C - 13°C

                                     = -7°C

Answer: 2.456  x 10 to the power 11

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2.456  x 10 to the power 11

Step-by-step explanation:

Answer:

The closest to the maximum profit is  [tex]x = \$ 83682[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$66,000[/tex]

   The standard deviation is  [tex]\sigma  = \$ 21000[/tex]

   The percentage of profit is  20%

Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated  as follows

     [tex]P(X >  x ) =  0.20[/tex]

=>  [tex]P(X >  x ) = P(\frac{X -x}{\sigma }  >  \frac{x -66000}{21000} ) =  0.20[/tex]

From the z-table  the z-score for  0.20  is  

    [tex]z-score = 0.842[/tex]

So

     [tex]\frac{x -66000}{21000} = 0.842[/tex]

=>   [tex]x = \$ 83682[/tex]

Answer:

48,000

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

simplify 2^6 --> 64

find the cube root of 64,

y=4

Answer:

20m-3

Step-by-step explanation: hope that helps :)

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

identity property in multiplication goes to the second option

commutative property goes to the first option

identity property in addition goes to the last option

associative property goes to the fourth option

distributive property goes to the third option

I may have gotten some wrong , if I did I am very sorry,if i didnt get any wrong, then I hoped this helped!

Answer:

185 miles.

Step-by-step explanation:

According to the given situation, the calculation of mile is shown below:-

Assume drive = x miles

Total bill incurred = ($27 + 0.1 x) = $45.5

Now we will solve the above equation:

0.10x = $45.5 - $27

0.10x= 18.5

x = 18.5 ÷ 0.10

x = 185 miles.

So, the correct answer is 185 miles.

The same is to be considered

Answer:

-4

Step-by-step explanation:

Given:

For gym A, initiation fee = $12 and cost = $10 per month.

For gym B, initiation fee = $20 and cost = $6 per month.

To find:

The equation that aims to find when these two gyms will cost the same amount of money,

Solution:

Let the number of months be x.

Cost function = Initiation fee + (cost)(x)

Cost function for gym A is

[tex]f(x)=12+10x[/tex]

Cost function for gym B is

[tex]g(x)=20+6x[/tex]

Cost of these two gyms are equal if f(x)=g(x).

[tex]12+10x=20+6x[/tex]

Therefore, the required equation is [tex]12+10x=20+6x[/tex].

On solving this equation, we get

[tex]10x-6x=20-12[/tex]

[tex]4x=8[/tex]

[tex]x=2[/tex]

Hence, after 2 months the cost of these two gyms are same.

Answer:

x = undefined

Step-by-step explanation:

Expand brackets

4x - 1 = 4x + 4

Rearrange and make like terms next to each other

4x - 4x = 4 + 1

0x = 5

x = 5/0

when 0 is the denominator the answer is undefined

Answer: from what i calculated there is no solution

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

Got Correct On MyPath.

The order of rotational symmetry for a rhombus is 2.

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end

A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral.

In a rhombus, opposite sides are parallel and the opposite angles are equal.

All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles

Rotational Symmetry of a Rhombus has four equal sides but of varying angles.

A rhombus has two lines of symmetry (vertical and horizontal), an order of two, and the angle of rotation of 180 degrees

Hence,  the order of rotational symmetry for a rhombus is 2.

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Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

The set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

They are mathematical expressions involving variables raised with nonnegative integers and coefficients(constants that are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and nonnegative exponentiation of variables involved.

We have been given the function f(x)=(x-2)(x+3)(2x+3)

Each of the binomials is equal to 0 to determine the zeros of this polynomial.

1. x-2=0

x=2

2. x+3=0

x=-3

3. 2x+3=0

2x=-3

x=-3/2

Hence, the set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

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Answer:

6 min for Marge's and 7 for Dan's plan

Step-by-step explanation:

0.14x6=0.84

0.12x7=0.84

Answer:

The answer of this question is option A

Answer:

3  1/100

Step-by-step explanation:

Place the decimal number over a power of ten.

Answer:

she will need 130 inches lf metal

Step-by-step explanation:

One side lf the window is 40 and the other side lf the window is 25 ,so just multiply those by 2.That will give you 50 and 80 just add those together and you get 130

Step-by-step explanation:

[tex]14y - 2 = 40 > > 14y = 42 > > y = 3[/tex]

Answer:

y=3

Step-by-step explanation:

Remember PEMDAS

Answer:

A: A high unemployment rate

Step-by-step explanation:

A high unemployment rate is the problem which is dealing by the country

Business is the practice of making one's living or making money by producing or buying and selling products.

Given that a country is dealing with a serious macroeconomic problem. Businesses around the country have been shutting down, leaving millions of people out of  work.

Even citizens with a high level of education and technical skills are

struggling to find jobs.

This problem is dealing with high unemployment rate.

Unemployment is a measure of the percentage of the labor force that is without work but actively seeking employment.

By given data it suggests that many businesses have shut down, leading to a significant increase in the number of people who are out of work. This situation is often referred to as a high unemployment rate.

Hence, a high unemployment rate is the problem which is dealing by the country.

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Answer:

y = 1500 + 800x

Step-by-step explanation:

This is the answer because Elisa charges 1500 dollars no matter what. That value is not dependant on anything. Every hour she is with the client is 800 dollars. That is why it is represented as 800x. X being the amount of hours. You add the two together to find how much Elisa's services cost.

Answer:

820 in profit

Step-by-step explanation:

The artist makes $82 in profit on each painting. 82 x 10 is 820

Consistent System of Equations

In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2

Answer:

C)

Step-by-step explanation:

y+3=7x+7•−2

Multiply 7 by −2.

y+3=7x−14

Rewrite the equation with the sides flipped.

7

x

−

14

=

y

+

3

I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.

Answer:

very funny and 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

7 plus 7? how old are you?

A is 163 and C is 143