Mathematics Middle School

## Answers

**Answer 1**

Answer:

depending on the fraction you are using, or the answer is impossible.

Step-by-step explanation:

any fraction, so to speak 0/10 is an impossible probability, or 0%

## Related Questions

What are the solutions to the equation x^2+6x=40

### Answers

Answer:

x= -10 and x=4

Step-by-step explanation:

subtract 40 on both sides

x^2+6x-40=0

factor

(x+10)(x-4)

x+10=0

x= -10

x-4=0

x=4

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Answer:

x = 4, -10 used math book

Surface area for this 4height 4lenght 6 width

### Answers

Answer:

64

Step-by-step explanation:

4 * 4 * 6 = 64

A retirement community has a sign at its main entrance that says "Residents over the age of 55 welcome." Which of the following inequalities best represents the age of residents welcome in the retirement community? z > 55

z < 55

z ≥ 55

z ≤ 55

### Answers

Answer:

z > 55

Step-by-step explanation:

Residents greater than the age of 55 are welcome.

Given: f(-x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

O

f(h(x)) = 2x - 7

f(h(x)) = 2x - 4

f(h(x)) = 3x - 4

f(h(x)) = 3x - 7

### Answers

Answer:

if given f(-x)=x-7, then f(h(x))=-2x-10

or if given f(x)=x-7, then f(h(x))=2x-4

Step-by-step explanation:

if given f(-x)=x-7

f(-x)=x-7 => f(-(-x))=(-x)-7 =>f(x)= -x-7

f(h(x))=f(2x+3)= -(2x+3)-7 = -2x-3-7 = -2x-10

if given f(x)=x-7

f(h(x))=f(2x+3)=2x+3-7=2x-4

Can you simplify 9x+4 with combining like terms

### Answers

No. 9x + 4 has no like terms.

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Solve: 24 < m - 100

### Answers

Answer:

m>124

Step-by-step explanation:

2424

m>24+100

m>124

Answer:

Inequality form : m>124

Step-by-step explanation: Solve for m by simplifying both sides of the inequality, then isolating the variable.

Hope this helps you out.

In a survey of 2,000 people who owned a certain type of car, 1,100 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

### Answers

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

The statement indicates that in a survey 1,100 people of 2,000 surveyed said that they would buy the car they have again and from this, you can inferred that they are satisfied with the car. So, to calculate the percentage of people surveyed that were satisfied with the car you have to divide 1,100 by 2,000 that is the total number of people surveyed and then, multiply the result by 100:

1,100/2,000=0.55*100= 55%

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A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest 10th of a foot, between first base and third-base?

### Answers

The shortest distance from where to where?

The shortest distance from home plate to second base:

--- From home plate to first base to second base and back to home plate forms a right triangle with the right angle at first base. The distance from home to second is the hypotenuse, so use the Pythagorean Theorem:

c² = a² + b² ---> c² = 90² + 90² ---> c² = 8100 + 8100 ---> c = √16200

---> c ≈ 127.3.

What is the surface area of the box if it is scaled up by a factor of 10 and the surface area is 74 in.

### Answers

Answer:

The surface area of the box if it is scaled up by a factor of 10 is 7400 in².

Step-by-step explanation:

Given:

The surface area of the box is scaled up by a factor of 10.

Surface area is 74 in².

Now, to find the dilated surface area of the box.

As the figures are same of the box so the surface area of original box is equal to square of the dilated box.

So, let the surface area of the dilated box be .

Let the surface area of the original box be .

And let the scale factor be .

Thus,

By cross multiplication we get:

Therefore, the surface area of the box if it is scaled up by a factor of 10 is 7400 in².

Andre sometimes mows on the weekend to make extra money. Two weeks ago, he mowed a neighbor’s lawn for 1/2 hour and earned $10. Last week, he mowed his uncles lawn for 3/2 hours and earned $30. This week, he mowed the lawn of a community center for 2 hours and earned $30. Which job paid better than others?

### Answers

Answer:

The neighbor and uncle paid better than community center

Step-by-step explanation:

Neighbor-$10 for 30 min

Uncle-$30 for 90 min

unit rate is $10 per 30 min

center- $30 per 120 min

unit rate is $7.5 per 30 min

Neighbr and uncle pay the same and is better than center

The demand equation for a monopolistic firm’s product is 4p+q= 320, and the firm’s cost function is given by c = 0.1q2+ 10q+ 1500. Find the price that maximizes the firm’s profit. What is the firm’s profit?

### Answers

Answer:

price =100 and profit is $2000

Step-by-step explanation:

The demand equation for a monopolistic firm’s product is 4p+q= 320

Solve for p

, divide both sides by 4

Revenue function R= p times q

Profit = Revenue - Cost

to find maximum profit find out vertex

Plug in 100 for q inf P(q)

price =100 and profit is $2000

Question 1: Let f(x)=(3/4)x .

Let g(x)=(3/4)x−6.

Which statement describes the graph of g(x) with respect to the graph of f(x)?

g(x) is translated 6 units up from f(x) .

g(x) is translated 6 units down from f(x) .

g(x) is translated 6 units left from f(x) .

g(x) is translated 6 units right from f(x) .

Question 2:

Let f(x)=10^x .

Which function represents a transformation of f(x) by a vertical stretch with factor 1.25?

g(x)=0.8·10^x

g(x)=1.25·10^x

g(x)=10^0.8x

g(x)=10^1.25x

### Answers

Answer:

Q. 1: g(x) is translated 6 units down from f(x).

Q. 2:

Step-by-step explanation:

Question 1: Let and are two different functions.

Now, the value of y is decreased by 6 units in g(x) with respect to f(x).

Therefore, g(x) is translated 6 units down from f(x). (Answer)

Question 2: Let , then transformation of f(x) by a vertical stretch with factor 1.25 means the y-value will be increases by 1.25 times for the same value of x.

Therefore, the transformed function will be . (Answer)

Answer:

1: g(x) is translated 6 units down from f(x)

2: g(x)=1.25·10^x

Step-by-step explanation:

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What is (x^3)^2 over (x^5)^6

### Answers

Answer:

1/x^24

Step-by-step explanation:

(x^3)^2 simplifies to x^6

(x^5)^6 simplifies to x^30

x^6/x^30

subract exponents

x^-24

move to denominator to make expoenent positive

1/x^24

The ratio of ducks to chickens at Mr. Mc Donald's farm is 1 to 3. There are 12 chickens on the farm. what is the total number of ducks and chickens on Mr. Donalds' farm?

### Answers

Answer:

4 ducks

12 chickens

Step-by-step explanation:

Ducks to Chicken (ducks : chicken) ratio

= 1 : 3

Ducks to Chicken ratio, if chickens = 12

= ? : 12

1 : 3 = ? : 12

Find the scale factor of the ratios by dividing the number of chickens to the ratio of chickens.

12 ÷ 3 = 4

To find the number of ducks, multiply the ratio of ducks by the scale factor.

1 X 4 = 4

Therefore, there are 4 ducks and 12 chickens on the farm.

Ratios can also be written like fractions. Use this to check the answer:

1/3 = 4/12

4/12 can be reduced by dividing both the top and the bottom by 4.

4/4 = 1 Same as original ratio top

12/4 = 3 Same as original ratio bottom

Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/6

### Answers

The required first number is 15 and second number be 10.

Given that,

Two number whose sum is 25,

and sum of whose reciprocal is 1\6.

We have to find,

What are the two numbers.

According to the question,

Let, The first number be x,

And the second number be y.

Then,

The sum of two number is 25,

And the sum of its reciprocal is 1\6,

On solving both equation,

From equation 1,

Substitute the value of x in the equation 2,

Therefore,

Hence, The required first number is 15 and second number be 10.

To know more about Linear equation click the link given below.

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Answer:

10 and 15

Step-by-step explanation:

Let 'x' and 'y' are the numbers we need to find.

x + y = 25 (two numbers whose sum is 25)

(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)

The solutions of the this system of equations are the numbers we need to find.

x = 25 - y

1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y

6y + 6(25-y) = (25-y)y

6y + 150 - 6y = 25y - (y^2)

y^2 - 25y + 150 = 0 quadratic equation has 2 solutions

y1 = 15

y2 = 10

Thus we have :

First solution: for y = 15, x = 25 - 15 = 10

Second solution: for y = 10, x = 25 - 10 = 15

The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).

Write a world problem using the function f(x)= 45(1.15^x)

### Answers

Answer:

x ∉ R

Step-by-step explanation:

Since there is no answer for f (x) = 0, so there is no (intercept-x) length of origin / zero.

Jacob invested $500 in a stock and after a year had $596. what was Jacobs rate of return?

### Answers

Answer:

Jacob's rate of return is 19.2%.

Step-by-step explanation:

Given:

Jacob invested $500 in a stock and after a year had $596.

Now, to find the rate of return.

So, we get the amount of return first:

Present value - value before a year = Return.

$596 - $500 = $96.

Now, to get the rate:

Return / Value before a year × 100.

Therefore, Jacob's rate of return is 19.2%.

Write a real world problem for f(x)=-35x + 525

### Answers

Answer:

A ball is thrown from a cliff which is 525 meters from the ground. The ball falla at the rate of 35 meters per second. Model a function representing the height of the ball from the ground after seconds.

For the above problem we can model the function as follows:

In order to check we can plugin and see what is the height of the ball at the begging.

Thus we see at 0 seconds the height is still 525 meters from the ground which is the initial position of the ball.

Thus, we can find the height of the ball at different times by plugging in the values for in the function.

What is f(x)= – 2x + 7 where x= - 5?

### Answers

Answer: 17

Explanation: In this problem we're given the function f(x)= – 2x + 7 and we are asked to find f(-5).

In other words, if we put an x into our function, we get a -2x + 7 out so we want to figure out what will happen when we put a -5 into the function.

Well if we put a -5 into the function, that's f(-5) and we get a -2 × -5 + 7 out. Or, f(-5) = 10 + 7. Now all we have to do is simplify on the right side to get f(-5) = 17.

Solve the function f(x)= – 2x + 7 where x= -5.

~Fill in for x

f(5) = -2(-5) + 7

~Multiply

f(5) = 10 + 7

~Simplify

f(5) = 17

Thus, the answer is 17.

Best of Luck!

While visiting Booneville, Michael can pay a flat rate of $10 for parking or $2 per hour. For the length of time that Michael wants to park in Booneville, the two options are actually equivalent in terms of cost. For how long does Michael want to park? How much will Michael pay?

### Answers

Answer:

For 5 hours Michael wants to park.

And in that case he has to pay $10.

Step-by-step explanation:

While visiting Boone Ville, Michael can pay a flat rate of $10 for parking or $2 per hour.

Let for x hours of parking the two options are actually equivalent in terms of cost.

Therefore, 2x = 10

⇒ x = 5 hours.

Therefore, for 5 hours Michael wants to park.

And in that case, he has to pay $10. (Answer)