Mathematics Middle School

## Answers

**Answer 1**

Answer:

Freshman: 3.245

Sophomore: 3.0775

All: 3.16125

Step-by-step explanation:

Freshman: (B+) + (B+) + (A-) + (B-) /(4lessons)

(3.33 + 3.33 + 3.66 + 2.66)/4=12.98/4=3.245

Sophomore: (B-) + (C+) + (A-) +(A-) /4

(2.66 + 2.33 + 3.66 + 3.66)/4 = 12.31/4= 3.0775

All: (3.245 + 3.0775)/2=6.3225/2=3.16125

## Related Questions

What is the ratio as a unit rate round to the nearest 10th to notebooks for $0.60

### Answers

Unit price of $0.60 per notebook (60 cents per 1 notebook = .60/1).

Step-by-step explanation:

A rate is a ratio matching quantities of various items. A unit rate is a value 1 in the denominator. The denominator is not going to have the value as 1 when an item has some rate like a cost per any quantity of things. Using division operation one can determine the unit rate.

Unit price of $0.60 per notebook (60 cents per 1 notebook = .60/1).

If a gym class is divided into 4 equal teams, 2 students have to sit out; 5 teams, 1 student has to sit out; 6 teams, 4 students have to sit out. If there are fewer than 70 people in the class, what is the minimum number of students that need to be added so that the class can be divided into 4, 5 and 6 equal teams with no students sitting out?

### Answers

Answer:

14 students

Step-by-step explanation:

Let x be the number of students,

- If a gym class is divided into 4 equal teams, 2 students have to sit out, so

- If a gym class is divided into 5 equal teams, 1 student has to sit out, so

- If a gym class is divided into 6 equal teams, 4 students have to sit out, so

From the first congruence,

substitute it into the second congruence:

Substitute this into the third congruence:

Since then

The next number divisible by 4, 5 and 6, greater than 46 and less than 70 is 60, so 14 students should be added.

Factorise the completely 3ax+2ay+6bx+4by

### Answers

Answer:

3ax+2ay+6bx+4by

= 3ax+ 6bx+ 2ay + 4by

= 3x(a+2b) +2y(a+2b)

= (3x+2y)(a+2b)

Answer:

(a+2b)(3x+2y)

Step-by-step explanation:

3ax+2ay+6bx+4by = a(3x+2y)+2b(3x+2y) = (a+2b)(3x+2y)

Gemma has 6 games. Chris has 13 games. How many fewer games does Gemma have than chris?

### Answers

Answer:

Gemma has 7 fewer games than Chris.

Step-by-step explanation

I got this answer by subtracting 6 by 13, (13-6) and I got 7.

Plzzzz help.. Moniba wants to study. she has to read 6 seasons and each season has 10 pages. she can read 1 page in 5 minutes. how long does it take for her to read all the seasons? how many hours does it take?

### Answers

Answer:

It would take five hours

Step-by-step explanation:

a page takes five minutes

10 pages per season

50 min per season

6 seasons

300min=5 hours

It would take five hours

Today is Anthony, Kassim and Raymond’s birthday. We want to buy a birthday candle for each one of them but we are not sure how old each one of them is turning. All we know is that as of today Anthony is four years older than Kasim and we know that kasim is twice as old as Ramen. we also know that the sum of their ages is 64

### Answers

Step-by-step explanation:

Let x be Ramen

Anthony=2x+4

Kasim=2x

Ramen=x

Therefore, if their ages add up to 64 we can add them all up

2x+4+2x+x=64

5x+4=64

5x=60

x=12

Now substitute

Ramen=12

Kasim=24

Anthony=28

An Olympic sized swimming pool holds 6.6043×10^5 gallons of water. A standard garden hose can deliver 9 gallons of water per minute. If the garden hose was filling the pool 24 hours per day, how many days would it take to fill the olympic sized pool? Explain your reasoning

### Answers

It will take 51 days to fill the olympic sized pool.

What is relation between time and work?

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Volume of swimming pool = 6.6043×10^5 gallons = 6,600,430 gallons

Volume of water delivered by hose per minute = 9 gallons per minute

So, volume of water delivered by hose per hour = (9*60) gallons per hour

⇒ volume of water delivered by hosen per day = (9*60*24) gallons = 12,960 gallons per day

Thus, number of days required to fill the pool = 6,600,430/12960

⇒ number of days required to fill the pool = 50.9

⇒ number of days required to fill the pool ≈ 51 days

Thus, It will take 51 days to fill the olympic sized pool.

To learn more about swimming pool:

brainly.com/question/12153212

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6.6043×10^5 = 660,430 gallons.

660,430 / 9 = 73381.11... minutes.

73381.11... / 60 = 1223.01851852 hours.

1223.01851852 / 24 = 50.9591049383 days.

It would take about 51 days for the garden hose to fill the pool.

How many terms of the progression 3,6,9,12....must be taken at the least to have a sum not less than 2000?

### Answers

Answer:

You need at least 37 terms to have a sum of 2000 or more

Step-by-step explanation:

,

S(n):=3+6+9+12+⋯+3n=3⋅n(n+1)2

This is approximately 32⋅n2.

It should be around 2000, that is n2 should be around 2/3⋅2000≈1334. Using calculator, its square root is ≈36.52 and if you sustitue n=36 to S(n) gives S(36)=1998.

So since 36 is not enough you need 37 terms to have a sum of 2000 or more

an object travels along a horizontal straight path at a constant rate. the object travels 1/20 of the length of the path in 3/4 second. at that rate how many seconds does it take the object to travel the entire length of the path?

### Answers

Answer:

Step-by-step explanation:

1/20 is a tiny portion of the length that needs to be traveled. 20/20 is the whole length. If 1/20 gets traveled in 3/4 of a second, multiply 3/4 by 20 to see how long it takes to travel 20(1/20) which is equal to 1, the whole path.

20(3/4) = 15 seconds

The time taken for the object to travel the entire length (L) is 15 s.

The given parameters:

- Initial distance, d1 = 1/20 L
- Time of motion, t1 = 3/4 s

The time taken for the object to travel the entire length (L) is calculated as follows;

Thus, the time taken for the object to travel the entire length (L) is 15 s.

Learn more about fractions and proportions here: brainly.com/question/2328454

A car of length 4.3m is travelling at 105kn/h it passes over a bridge of length 36m Calculate the time in seconds it takes to pass over the bridge completely

### Answers

Car takes 1.53 seconds to pass over the bridge completely

Solution:

Given that car of length 4.3m is travelling at 105km/h it passes over a bridge of length 36m

To find: time in seconds car takes to pass over the bridge completely

From given information,

Speed of car = 105 km/hr

Let us convert the kilometer per hour to meter per second

To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18

So speed of car = 29.167 m/sec

Length of car = 4.3 m

Length of bridge = 36 m

For the car to completely pass the bridge, back end of car should cross the endpoint of bridge

So the distance covered by car to pass over the bridge completely = 4.3 + 36 + 4.3 = 44.6 m

Time taken is given as:

So car takes 1.53 seconds to pass over the bridge completely

10 PIONTS What changed for Native Americans as forts and missions grew?

They built homes with wooden frames.

They found work in the market.

They lost parts of their culture.

They used electricity in their homes.

### Answers

Answer:

They lost parts of their culture.

A rectangle has a height of 7x^2 and a width of 3x^2+8x+7. Express the area of the entire rectangle.

### Answers

Answer: 21x^4 + 56x^3 + 49x^2

Explanation:

area of rectangle= height x width

7x^2(3x^2+8x+7)

= 21x^4 + 56x^3 + 49x^2

Answer:

Step-by-step explanation:

Area of the rectangle = height * width

= 7x² * (3x² + 8x + 7)

= 7x² * 3x² + 7x² * 8x + 7x² * 7

= 21x⁴ + 56x³ + 49x²

There are 3 red marbles, 5 green marbles, and 2 blue marbles in a jar. Event A is defined as drawing a red marble from the jar on the first draw. Event B is defined as drawing a green marble on the second draw. If two marbles are drawn from the bag, one after the other without replacement, what is P(B|A) expressed in simplest form?

### Answers

P(B/A) is in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

- P(B|A) is called the "Conditional Probability" of B given A
- Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
- The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)

∵ There are 3 red marbles, 5 green marbles, and 2 blue

marbles in the jar

∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

replacement

- That means red is already occurred when green is happened,

so it is a "Conditional Probability" of green given red

P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

the first draw

∴ P(A) = P(red)

∵ P(red) =

∴ P(A) =

∵ Event B is defined as drawing a green marble on the second draw

∴ P(B) = P(green)

- The number of marbles after the red is chosen is 9

∵ P(green) =

∴ P(B) =

- Find P( A and B)

∴ P(A and B) = ( ) . ( )

∴ P(A and B) =

- Simplify the fraction by divide up and down by 15

∴ P(A and B) =

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) =

- Simplify the fraction

∵ ÷ = × =

- Divide up and down by 2

∴ P(B/A) =

P(B/A) is in the simplest form

Learn more:

You can learn more about probability in brainly.com/question/10744457

#LearnwithBrainly

Answer:5/9

Step-by-step explanation:

10 PIONTS Which of these has its own government?

Fort

Mission

State

Territory

### Answers

Answer:

Territory is the correct answer

have a great day and i hope you do well on your grades ^-^

Mission is the correct answer to solve the variable problems

An expression is shown below: f(x) = −25x2 + 30x − 9 Part A: How many x-intercepts could the graph of f(x) have and what component of the polynomial indicates the potential x intercepts? What are the values of the x intercepts ? Find the x intercepts by factoring and show all work. (4 points) Part B: What is the value of the y-intercept of the graph of f(x) and what component of the polynomial indicates this value? (2 points) Part C: Discuss the end behavior of the graph of f(x) and what components of the polynomial indicate this behavior. (4 points)

### Answers

Answer:

See below.

Step-by-step explanation:

f(x) = -25x2 + 30x − 9

This is a parabola which opens downwards.

Part A.

The discriminant b^2 - 4ac = 30^2 - 4*(-25) * -9

= 900 - 900

= 0

This indicates that the graph of the function just touches the x-axis. So there is one root of multiplicity 2.

Factoring:

-25x2 + 30x − 9

= -(25x^2 - 30x + 9)

= -(5x - 3)(5x - 3)

so the roots are x = 3/5 multiplicity 2.

The x -intercept is at (0.6, 0).

Part B.

The y intercept is when x = 0 so here it is

y = -25(0)^2 + 30(0) -9

= -9

The constant at the end of the function (-9) indicates the y-intercept.

The y intercept is at (0, -9).

Part C.

The end behaviour of f(x):

The negative coefficient (-25) of x^2 indicates that the graph increases from negative infinity from the left.

Since it is a parabola that opens downwards ( because of the -25) it decreases to negative infinity on the right.

Part A:The area of a square is (25x2 − 40x + 16) square units. Determine the length of each side of the square by factoring the area expression completely. (5 points) Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. (5 points) (10 points)

### Answers

Answer:

Step-by-step explanation:

25x2 − 40x + 16 = (5x)² - 2*5*4 + 4² { (a - b)² = a² - 2ab + b² }

= (5x - 4)² { here a = 50 and b = 4}

Side of the square = 5x - 4 units

Part B:

25x2 − 16y2 = (5x)² - (4y)² { a² - b² = (a + b) * (a - b) }

= (5x + 4y) * (5x - 4y) { here a = 5x and b = 4y}

Dimensions of Rectangle: (5x + 4y) ; (5x - 4y)

Answer:

see explanation

Step-by-step explanation:

A

25x² - 40x + 16 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Comparing the coefficients of like terms in the 2 expressions

a² = 25 ⇒ a = 5, b² = 16 ⇒ b = 4

and 2 × 5 × 4 = 40, thus

25x² - 40x + 16 = (5x - 4)²

The side of the square = 5x - 4

B

25x² - 16y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

25x² - 16y²

= (5x)² - (4y)² = (5x - 4y)(5x + 4y)

Dimensions of rectangle are 5x - 4 and 5x + 4

(08.01, 8.02 MC) An expression is shown below: 18x3y − 9x2y − 72xy3 + 36y3 Part A: Rewrite the expression so the GCF is factored out of the polynomial. (3 points) Part B: Rewrite the expression completely factored. Show the steps of your work. (7 points) (10 points)

### Answers

Answer:

9y(2x - 1)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term

= 9y(2x³ - x² - 8xy² + 4y²)

Factor the first/second and third/fourth term in the parenthesis

= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term

= 9y(2x - 1)(x² - 4y²)

x² - 4y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y), hence

18x³y - 9x²y + 72xy³ + 36y³

= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form

The raduis of a circle is 12 cm. What is the area? ( Use approximation)

### Answers

Answer: 452.16 cm²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.

Area = πr²

Notice that the radius of our circle is 12 cm so we can plug a 12 in for the radius in our formula.

Area = (π)(12cm)²

12 cm² is equal to 12 cm × 12 cm or 144 cm².

Area = 144π cm²

So the area of the circle is 144π cm².

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.

So we have (144)(3.14) which is equal to 452.16 cm².

So the area of the circle is approximately equal to 452.16 cm².

Answer:

The area is 452 cm2

Step-by-step explanation:

We use the formula:

Area = π (raduis)2 =π (12cm)´2 = 452, 39 cm2

The raduis of a circle is 12 cm. What is the area?

### Answers

Are = radius squared times pie so 12*12 = 144 so 144 times pi 3.14*144 = 452.16 is your answer

Answer:

Step-by-step explanation:

Area of circle = πr²

= 3.14 * 12 * 12

= 452.16 sq. cm

Given that a function, f(x), has a domain of -15 SXS 45 and a range of -65 s f(x) S-5 and that f(5) = -17 and f(-15) = -65, select each statement that could be true for f(x).

f(50) = -35

f(25) = -10

f(5) = -42

f(45) = -65

f(20) = -10

### Answers

The domain and the range of a function are the set of input and output values of the function.

The true statements are:

- f(25) = -10 is true
- f(45) = -65 is true
- f(20) = -10 is true

The domain and the range of function f(x) are given as (-15, 45) and (-65 , -5).

This means that:

- The input value of the function is from between -15 and 45 (exclusive)
- The output value of the function is from between -65 and -5 (exclusive)

The above highlights mean that:

- f(50) = -35 is false, because the input is out of the domain
- f(25) = -10 is true
- f(5) = -42 is false, because f(5) = -17
- f(45) = -65 is true
- f(20) = -10 is true

Read more about domain and range at:

brainly.com/question/2264373

Answer:

True options f(25) = -10

f(45) = -65

f(20) = -10

Step-by-step explanation:

Note that domain of function f(x) is (-15, 45).

Range is (-65 , -5).

In first option f(50) = -35. Here 50 is not in domain thus this point is not on the graph of f(x).

In second f(25) = -10.Value of x and function both are in domain and range thus acceptable.

In third f(5) = -42. Already given that f(5)=-17 thus it is false.

In fourth f(45) = -65. This is extreme boundary for domain and range also it is true.

In fifth f(20) = -10. This is also true as this point lie on function graph.