hello I'm a 7th grader can you please help me with my math summer package and explain it in a way that a 7th grader can understand it.....I need help with number 1 ...

Total students: 258

Students that rode in cars = 30

258 - 30 = 228 students left

There are 4 busses ( assuming that each bus has the same number of students)

Students in each bus = students left / number of buses = 228 / 4 = 57

Answer: 57 Students

Explanations:

The given equation is:

3(5 - p) - 2(5 + p) = 3(p + 1)

Step 1: Expand all the brackets

15 - 3p - 10 - 2p = 3p + 3

Step 2: Collect like terms ( That is, let everything that has p go together)

15 - 10 - 3 = 3p + 3p + 2p ( Note that the sign changes when anything crosses the equality sign)

2 = 8p

Step 3: Divide both sides by 8

2/8 = 8p/8

1/4 = p

p = 1/4

p = 0.25

If x variable represents the money your brother has without the value of the airplane ticket, then, the expression x + 637 is the total money he has at the beggining.

In the sense of an inequality, it means x + 637 must be lower or equal than 2000 dollars, which was the initial money yoir brother had.

Then, you have:

x + 637 ≤ 2000

to solve the previous inequality, subtract 637 both sides:

x + 637 - 637 ≤ 2000 - 637 simplify both sides

x ≤ 1363

Hence, the solution to the ineuqality is x ≤ 1363

Your brother can spend at least 1363 dollars

If we have a number X and we multiply it by a power of 10, then:

Example:

x = 7 and we want to multiply it by 1,000

Another example:

x = 27 and we want to multiply it by 1 million

The Area of the composite shape is the sum of the areas of the triangle and that of the square

Area of square = length x breadth =>

Area of Traiangle = 1/2 (base x height)

=>

I'll pick uo two points from the table.

P1 = (5, 11)

P2 = (7, 13)

1.- Find the slope

slope = (y2 - y1) / (x2 - x1)

Substitution

slope = (13 - 11) / (7 - 5)

Simplification

slope = 2/2

Result

slope = 1

2.- Find the equation of the line

y - y1 = m(x - x1)

Substitution

y - 11 = 1(x - 5)

Simplification

y = x - 5 + 11

Result

y = x + 6

This is the answer to your question

Answer:

41

Step-by-step explanation:

If Mindy worked on her proyect and hour and a half, it means she took 90 minutes.

Thereby, Mindy worked on her project 15 minutes more than Tyler.

The percentage increase of the airline ticket is 45.24%

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts.

Mathematically, the percentage increase of a quantity can be written as

[tex]\% increase =\frac{change in quantity}{original quantity} * 100[/tex]

Let's substitute the values given into the equation and find the percentage increase.

[tex]\% increase =\frac{change in quantity}{original quantity} * 100\\\% increase = \frac{305 - 210}{210} *100\\\% increase = 45.24\%[/tex]

The increase in percentage of the ticket price is 45.24%

If the airline charges an additional $50 with the new ticket price, the percentage increase will remain the same because assuming the baggage fees is also applicable to the old price, there won't be an change in the percentage increase.

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Answer:

$74.40

Step-by-step explanation:

first we find 20% of 62

62 * 0.2 = 12.4

20% of 62 is 12.4

now we add 12.4 to 62

62 + 12.4 = 74.4

Step-by-step explanation:

56.28 is the awnser to 10.05x5.6

SOLUTION

The rational root theorem, also called rational root test theorem state that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and the constant term (the one without a variable) must be divisible by the numerator.

Given the polynomial

The factor of the constant term is

The factors of the Leading coefficient are

The root of the p(x) are

hence , the possible root of p(x) are

Hence

root of p(x) are 2/3, -2, and 1

From the diagram, the angles that are not congruent to the angle < 3, are

Answer:

1. 3^7 or (2187)

2. 1/3

3. 3

4. 3^12

SIDE NOTE:

I'M NOT COMPLETELY SURE IF THESE ARE CORRECT DON'T TAKES THESE FOR GRANTED.

The given speed time graphs represents the outline of the speed of the car with time.

The correct options are;

Graph E matches the description of the car is stopped, because it consists of an horizontal line at a pro on the x–axis

Graph F matches the description the speed of the car is decreasing because graph E is a straight line graph that slopes downward from left to right

Graph G matches the description, The car is traveling at a constant speed because the graph remains the same as the time increases

Graph H matches the description of the car the car stoped because the location of the graph is on the x-axis

Graph F represent matches the description of the car speeding up

A speed time graph is one that shows the variation of speed with time for an object.

The given graphs in the question are speed time graphs such that we have;

5. When the car stops, the speed is zero, and the graph consists of an horizontal line (showing that the zero speed (stopping) is constant over a period of time) that is located on the x–axis, where the y–axis value is zero.

Graph H matches the description of the car is stopped because the graph consists of an horizontal line located on the x–axis

Graph

6. When the car is in motion, and the speed is constant, the graph will consist of an horizontal line at the specified speed. The horizontal line at the speed indicates that the speed is not changing.

Graph G matches the description of the car is traveling at a constant speed because the graph consists of a horizontal line at a positive y–value larger than zero or above the x–axis

7. When the speed of the car is decreasing, it means that as the time increases from left to right, the speed is decreasing simultaneously, which is given by a graph of a straight line that slopes downward as the time increases from left to right

Graph E matches the description of the speed of the car is decreasing because the graph consists of a straight line graph that slopes from left to right.

8. The graph of a car coming back is given by a graph that has negative y–values, such that the line of the graph is in Quadrant IV

A graph that matches car coming back will be located below the horizontal x–axis

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By using the property of linear pair we can prove that m∠2=m∠3 .

Let us use the template that is provided to find the solution.

1. ∠1 and ∠2 are supplementary           (Linear pair)

 ∠3 and ∠4 are supplementary.

2.m∠1 + m∠2 = 180°                        (definition of supplementary angles.)

3.m∠3 + m∠4 = 180°                        (definition of supplementary angles.)

4.m∠1 + m∠2 = m∠3 + m∠4            (Substitution property)

or, m∠1 + m∠2 = m∠1 + m∠3

5. m∠1 =m∠4                                    (given)

6. m∠2 = m∠3                                  ( Subtraction property)

Therefore we can see that the two angles are equal due to the properties of linear pair and substitution property.

A linear pair of angles is formed when two  straight lines intersect at only 1 single point. The angles are known to be a linear pair  if they exactly follow the point where the two straight lines intersect only in a straight line. The sum of the angles in a pair of linear equations is always equal to 180°.

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We have the next

The possible values of 'a' for this are

the value of a could be all the values between -3 and 3 including -3 and 3

ANSWER

[-3,3]

No, the table does not represent a linear function

Explanation

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. it has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y

Step 1

graph

so, the graph does not represent a linear function , Also

the volume of a cube is given by

the exponent of the function is 3, and for a linear function the exponent in the varialbe must be 1,

A rational number is a number that is the form p/q where p and q are integers, and q is not equal to 0.

So, in this case, we have:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

Therefore, all given numbers are rational because they can be expressed in the form p/q where p and q are integers, and q is different from zero.

we get that the function is x-10, and the values to replace are: -1,0,1,2

so the answer is:

Answer:

8/3 or 2.67

Step-by-step explanation:

your explanation is in the image below hope this helps sorry if wrong

The rate of the boat when it's still in water is 7mph.

Based on the information, one can denote that the travel times are the same. The formula to calculate the rate will be:

d1/v1 = d2/v2

where

v = rate

d = distance of miles.

This will be:

t = 16/(v - 3) = 40/(v + 3)

Cross multiply

40(v - 3) = 16(v + 3)

40v - 120 = 16v + 48

Collect like terms

40v - 16v = 48 + 120

24v = 168

Divide through by 24

24v/24 = 168/24

v = 7 mph

The rate is 7mph. This shows the concept of the calculation for rate.

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Answer:

-2

Step-by-step explanation:

The y intercept is where the line crosses the y axis.  It crosses at the point (0,-2)

After solving equation, the number of fish caught by Jay is 18 fishes and Blair is 9 fishes.

What is equation?

In mathematics, the statement based problems can be solved by forming the equation. And it consists of dependent variable as well as independent variable.

According to the question, the given parameter states that the Jay and Blair together they caught 27 fishes. And Jay caught 2 times as many fish as Blair.

Therefore, the equation can be written for the given statement is as follows:

J + B = 27

J = 2B

Substituting the above value in the formed equation, we get:

3B = 27 ⇒ B = 9

And, J = 2(9) = 18

Hence, after solving equation, the number of fish caught by Jay is 18 fishes and Blair is 9 fishes.

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We apply the secant-angle theorem,

Then,

Therefore, x=75 degr

Answer:

B. Zero

Explanation:

The solutions of the system of equation are the points where the graph intersect. In this case, the red function and the blue function doesn't cross each other. So, the system formed by these non linear equations has no solutions.

Therefore, the answer is:

B. Zero

Answer:two

Step-by-step explanation:

The value that completes the probability distribution is 0.22

The distribution of the discrete probability distribution is given as

x         3     4    5      6

P(x) 0.24  ?  0.28  0.26

Represent the blank value in the distribution with the variable y

So, we have the following representation:

P(x) 0.24  y  0.28  0.26

The sum of probabilities in a distribution is 1

So, we have

0.24 +y + 0.28 + 0.26 = 1

Evaluate the sum

y + 0.78 = 1

Evaluate the like terms

y = 0.22

Hence, the missing value is 0.22

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The planets orbit around stars. Our solar system is an example of that, all the planets in our system orbit around a star, the Sun.

Hence, the answer is stars.

By Green's theorem,

[tex]\displaystyle \oint_C x^2y^2 \, dx + (x^2-y^2) \, dy = \iint_{[0,1]^2} \left(\frac{\partial(x^2-y^2)}{\partial x} - \frac{\partial(x^2y^2)}{\partial y}\right) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \int_0^1 (2x - 2x^2y) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \left(1-\frac23 y\right) \, dy \\\\ ~~~~~~~~ = 1 - \frac13 = \frac23 \approx \boxed{0.67}[/tex]

Answer:

Explanation: