What does the slower car travel at Then what does the faster car travel at

the area of the rectangular garden is 289 square ft

so

so the value of y is 289/x

the outer perimeter of the garden is 2(x+y)

now perimeter is 2(x+289/x)

it is given that the outer wall cost 22 $ per linear foot

so the total cost is

it is given that the cost of an interior wall is 9 $

and the length of the interior wall is x

the total cost of the interior wall is 9x

so the total cost of the wall is 9x +22 (2x + 578/x).

and the correct answer is 9x +22 (2x + 578/x). option B.

SOLUTIONS

As a speed skater, Kyle cycles between sprinting and recovering on the 111.12 meter short track during practice every day for 50 minutes.

Let t be the time in hours that Kyle sprints during practice.

Sprint Speed: 48 km/hr

Recovery: 18 km/hr

(a)

Write an unsimplified expression to represent the total distance Kyle skates.

If t= time sprinting then (50-t)= time recovering

Distance = rate x time= t(48) + (50-t)18

Distance = 111.2m

(c) Simplifying the expression

Equations

We are given the following equation:

a/5 = 8+ 9

Adding 9 to both sides of the equation we have:

a/5 + 9 = 8 + 9 + 9

It's evident that a/5 + 9 is not equal to 8 + 9, but to 8+9+9 instead.

Answer: No

Answer:

seven less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

nine times the difference of a number cubed and three; 9(n³-3)

eight more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

twice the difference of a number cubed and eight;  2 n³- 8

Step-by-step explanation:

Let's find the vertex for the following equation:

y = x² - 2x - 3

As you can see, we found graphically that (1, -4) is the vertex for this equation.

Now, let's find the intercept form, as follows:

x-intercept:

0 = -1² -2 * - 1 - 3

0 = 1 + 2 - 3

Then, (-1, 0)

0 = 3² - 2 * 3 - 3

0 = 9 - 6 - 3

Then (3, 0)

y-intercept:

yy

Tyrone randomly interviewed 55 8th graders at the Westwood Mall Saturday afternoon to determine their reason for going to the mall.

Based on the results he made the following claim.

"Two out of four middle school students visit the mall to go shopping".

Let us analyze each of the given options.

a. Tyrone only interviewed students in the food court.

There is no evidence that suggests the interview was conducted at the food court so this is not the correct answer.

b. Tyrone did not survey enough 8th graders to draw a valid conclusion

He interviewed 55 8th graders which are more than enough students so this is not misleading.

c. Tyrone did not use a random sample of 8th graders

It is given in the question that he used a random sample so this is not misleading.

d. Since Tyrone surveyed only 8th graders, his sample is not representative of all middle school students.

If you notice closely, Tyrone interviewed only 8th graders whereas the claim was about all middle school students.

So this is clearly misleading, 8th graders do not represent all middle school students.

Therefore, option d is correct.

Given:

The mean mass of 8 men is 82.4 kg.

Required:

To find the total mass of 8 men.

Explanation:

Let the total mass be x.

Now,

Final Answer:

The total mass of 8 men is 659.2.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

diagram:

circle and chords

Step 02:

congruent chords:

Congruent chords are equidistant from the center of a circle.

x = 7 + 7

x = 14

The answer is:

x = 14

The commutative law says that we can swap the position of numbers when we add or multiply and still get the same result

The commutative property of multiplication can be expressed as

ab = ba

The commutative property of addition can be expressed as

a + b = b + a

Looking at the given expression,

12 and pi were swapped and the sign involved is multiplication. Thus, the correct option is

D. Commutative property of multiplication

Solution:

If the variation in pressure is P pounds per square inch, then the Loudness L in decibels is;

When L=115 decibels;

But from the logarithmic law, we have;

Thus,

FINAL ANSWER:

Given:

The equation is given as,

The interval is given as,

The objective is to find the average rate of change.

Explanation:

The general formula to find the average rate of change is,

On plugging the function in the equation (1),

On further solving the above equation,

Hence, the average rate of change is 3.

The number of snowballs that  are needed to make 2 snowmen is equal to 6.

Mathematically, a proportional relationship can be represented by the following equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:

k = y/x

k = 3/1 = 9/3 = 12/4 = 3

When the number of snowmen, x = 2, the number of snowballs, y is given by:

y = kx

y = 3 × 2

y = 6.

Therefore, the ordered pair is equal to (2, 6).

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The rate at which the Brock family drinks milk is 4 gallon per day.

According to the question,

We have the following information:

The Brock family uses 12 gallon jug of milk every 3 days.

Now, in order to find the rate at which they drink milk, we will have to divide the amount of milk by the total number of days.

So, we have the following expression:

Rate at which they drink milk = 12/3 galloon per day

Rate at which they drink milk = 4 galloon per day

Now, this the simplified answer because this is a whole number and we can not solve it further.

Hence, the rate at which they drink milk is 4 galloon per day.

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Solution

The final answer

The sentence in B uses the underlined word incorrectly. The kirt was clever in concocting a story about hossatye zot in trouble.

Here the word,

So here option B is vocabulary incorrect .

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Answer:

53.76

Explanation:

The volume of the triangular prism is given by

where h is the height, b is the base, and l is the length of the prism.

Now in our case h = 3.2 m, b = 4.8 m, and l = 7m; therefore, the above equation gives

which is our answer!

Hence, the volume of the triangular prism is 53.76 cubic meters.

ANSWER

60 possible outcomes

EXPLANATION

If he spins the 3-section spinner, there are 3 possible outcomes: Walk, Run, Stop.

If he spins the 4-section spinner, there are 4 possible outcomes: red, green, blue, orange.

If he spins the 5-section spinner, there are 5 possible outcomes: Monday, Tuesday, Wednesday, Thursday, Friday.

If he has to spin the three spinners, the total possible outcomes is the product of the possible outcomes of each spinner: 3x4x5 = 60.

To solve this, we will need to convert all values to decimal.

First convert 1/4 to decimal:

Now convert 43% to decimal:

Simplify 5/9:

0.15 is already a decimal value.

Simplify 1/12:

1.4 is already a decimal.

After simplifying, we have the following values:

0.25

0.43

0.56

0.15

0.083

1.4

We can see the values greater than 0.25 are:

0

The length of the real dinosaur's tail is 120 inches.

We know that the scale of the model is 1in : 15in, this means that each inch in the model represents 15 inches of the actual dinosaur.

So, if the tail of the model has a length of 8 inches, the length of the real tail will have 15 times that, so the length is given by the product:

8in*15 = 120in

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For this question we know that we have a point (-3,-2) and we want to find an equation perpendicular to the line

y=2/3x-2.

Since both lines are perpendicular we need to satisfy this:

With m1= 2/3. If we solve for m2 we got:

And then we can find the intercept for the new line using the point given with x=-3 and y=-2 and we got this:

And solving for b we got:

And then our final answer would be:

Solution

f(2) = 4 and f(3) = -1

g(2) = 6 and g(-3) = 7

From the info given we can see this :

x = 2 f(2) = 4 , g(2)= 6

x= 3 f(3)= -1 , g(3)= 7

And we can calculate the slope with the following formula:

And for this case we can conclude that the lines are neither

Since m1 is different from m2

And m1*m2 is not -1

To solve the inequality we need to find the x-values that are the roots of the quadratic equation, let's use the quadratic formula:

Now, let's try values less or greater than these roots:

If x=-1:

Now let's try x=3:

Then, the graph of the inequality is:

The red-shaded area are the solution to the inequality, then in interval notation we have:

In builder notation it would be:

We have:

1 minute = 60 seconds

Then, 15 miles per second to miles per minute is:

Next, Distance traveled in 3 minutes is given by:

Answer:

rate = 900 mi/min

distance = 2700 miles

To arrange this from the greatest to the least

we will first look out for the positive numbers

Among the positive numbers, 56 comes first

then 25 and finally 8

Then we move to the negative numbers

-2 comes first

then -7 and then -34

Hence

56, 25, 8, -2, -7, -34

An item is regularly priced at $35.

Cost price of item = $35

Lena bought it on sale for 20% off the regular price

i.e. 20% of 35 is off in the item of cost $35

So, The amount Leena will paid = $35- 20% of 35

So, Leena will pay $28

Answer: $28

Given :

The perimeter of a triangle is, P = 14x - 4.

The sides are, a = 3x-2 and b = 5x + 3.

The perimeter of a triangle with sides a, b and c can be expressed as,

Substituting the values, we get,

Thus, the correct option d.

Well we just need to do the analise of the function h, so for the first question we need to know what is the value of h when x=0, so if we evaluate we see that

So the first answer is that the start heigth of the rocket is 20.

Now for the second we need to do the derivate and see the critical ponit to know the maximum, we are going to calculate first the derivate, so

now we need to find the critical ponits so for this, we are going to see when h'(x) = 0, this meand when the derivate is equal to zero, so h'(x) = 0 when

to see if this critical poni is a maximum we need to calculate the secon derivate and see that the second derivate valued in 300/32 is smaller than 0, so

now when x= 300/32 we have that h''(x) is -32 because the second derivate is constant, in this case h''(300/32) < 0, because of this the answer is that 300/32 is the maximum, bur 300/32 = 75/8.

Now for the third question, we need to see the roots of h, so we need to see when h is zero, so for wich values of x we have that h(x) = 0, then

we can solve this with the quadratic equation to solve this kind of equations. This equation is

so we have that

the answer is x = (-300 - v/ 91280)/(-32) or x = (-300 + v/ 91280)/(-32) and this is equal to x = (300 + v/ 91280)/(32) or x = (300 - v/ 91280)/(32) if you prefer. We can also write the answer in a simpler way: x = (75 + v/ 5705)/(8) or x = (75 - v/ 5705)/(8), this is

Well we just need to do the analise of the function h, so for the first question we need to know what is the value of h when x=0, so if we evaluate we see that

So the first answer is that the start heigth of the rocket is 20.

Now for the second we need to do the derivate and see the critical ponit to know the maximum, we are going to calculate first the derivate, so

now we need to find the critical ponits so for this, we are going to see when h'(x) = 0, this meand when the derivate is equal to zero, so h'(x) = 0 when

to see if this critical poni is a maximum we need to calculate the secon derivate and see that the second derivate valued in 300/32 is smaller than 0, so

now when x= 300/32 we have that h''(x) is -32 because the second derivate is constant, in this case h''(300/32) < 0, because of this the answer is that 300/32 is the maximum, bur 300/32 = 75/8.

Now for the third question, we need to see the roots of h, so we need to see when h is zero, so for wich values of x we have that h(x) = 0, then

we can solve this with the quadratic equation to solve this kind of equations. This equation is

so we have that

the answer is x = (-300 - v/ 91280)/(-32) or x = (-300 + v/ 91280)/(-32) and this is equal to x = (300 + v/ 91280)/(32) or x = (300 - v/ 91280)/(32) if you prefer. We can also write the answer in a simpler way: x = (75 + v/ 5705)/(8) or x = (75 - v/ 5705)/(8), this is

The statement which best completes the cause and effect diagram is that: A. British leaders limit the ability of colonists to expand westward.

A cause and effect graphic organizer is also referred to as cause and effect diagram and it can be defined as a type of chart which highlights and shows the relationship between two things, phenomenon, or events in which an occurrence of one (cause) typically leads to the occurrence of another (effect).

During the late 18th to mid 19th centuries, the United States of America began to grow westward and this led to the emigration of Native American tribes who had in this geographical region for thousands of years before the arrival of European colonists.

Consequently, conflict developed between them which was known as "The French and Indian War" and this caused British leaders to limit the ability of many European colonists to continue expanding westward.

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Complete Question:

Which statement best completes the diagram?

A. British leaders limit the ability of colonists to expand westward.

B. British merchants refuse to buy raw materials from the colonies.

C. British military forces are ordered to leave North America.

D. British leaders end policies that strictly controlled the colonies.