The volume of a large tank is 350 ft. It is 65 ft wide and 4 ft high. What is the length of the tank?

Cost C = $276,650

Initial quote = $28000

If Eli spends 30% of 4,475 = $1342.5 monthly

Then now calculate

3.5% down of $276,650 = $9682.75

Substract $28000- $9682.75 = 18317.25

Now find ,fixed rates

For 6.5% , interest is.

She have to pay a quote of (276,650- 9682.75)/12•30

. = $741.57

For 5% down of $276,650 = 13832.5

Eli have now $28000- $13832.5 = 14167.5

She have to pay a quote of (276,650- 13832)/30•12 = $262818/360

. = $730

Interest fixed rate 6.25%

Then find 730• ( 1+ 6.25/100)^ 30 = 4500 in 30 years

Now option C)

6.5% down = $276,650x 6.5/100 = $17982.25

Eli have now $28000 - 17982.25 = 10017.75

She have to pay a quote of (276,650 - 17982)/30•12

. = $718.52

Then find 718.52•( 1+ 5.75/100)^30 = 3844.6. in 30 years

Option D)

10% down = $276,650x10/100 = $27,665

Eli have now $28000- 27,665 = $335

She have to pay a quote of (276,650 - 27665)/30•12 =

. = $691.625

Then find now 691.625•(1+ 5/100)^30 = $2989.16 in 30 years

So ,in conclusion we have to choose the minor value of quote. In this case is

ANSWER IS

OPTION D) $2989,16

Solution:

Given:

Collinear points are the points that lie on the same straight line or in a single line.

Hence, from the image given, the points that lie on the same straight line are; F, E, G

Therefore, option D is the correct answer.

You have the following expression:

√2 + √5 + √5

In order to simplify the given expressions, you consider the terms with square roots as factor that you can simplify in the same way of the simplification in algebra. That is, if you have √5 + √5, you can sum the coefficients of these terms. Thus, what you have is √5 + √5 = 2√5.

Then, for the given expression you obtain:

√2 + √5 + √5 = √2 + 2√5

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following system of inequalities:

This system can only be solved graphically, therefore

for f(x):

The x and y intercept is (0, 0)

for g(x)

The x-intercept is (2, 0) and y-intercept is (0, 1)

The solution to the system will be the area where the shadows of each inequality overlap

Just like that:

Given expression:

Taking the product of the fractions implies multiplying the numerator and denominator:

Hence, the product of the fractions is 1/40

when

y = 2

x = 10

Therefore,

C = 0.2 g

We start by saying that the deck has 52 cards, in which they have 4 aces (one for each suit).

We are also taking about drawing cards wthout replacement.

Then, for the first draw, we have 4 in 52 chances of drawing an ace.

For the second draw, as one ace is taken out of the deck of cards, there is a chance of 4-1=3 out of 52-1=51 of drawing an ace.

This can be generalized for the 4 draws as:

where P is the probability of drawing 4 aces in 4 draws.

There is a probability of 3.7 * 10^(-6) = 0.0000037 = 0.00037% of drawing 4 cards from a standard deck and all 4 being aces.

ANSWER

7, 9, 11

EXPLANATION

We want to find three consecutive odd numbers.

Let the smallest number be x.

Then, the next odd number is (x + 2).

The last odd number is (x + 4).

The sum of the largest odd number and twice the smallest number is 25:

(x + 4) + 2x = 25

=> x + 4 + 2x = 25

3x + 4 = 25

3x = 25 - 4

3x = 21

x = 21 / 3

x = 7

Therefore, the three consecutive numbers are:

7

(7 + 2) = 9

(7 + 4) = 11

They are 7, 9, 11

Answer:

it is a line that forms a 90° angle with another

We have a pre-image that is the point (4, 5).

We applied a dilation with scale 0.5 and center at (1, 6).

As the center is not the center of coordinates, we applied a change of coordinates to make (1, 6) the center of coordinates.

Then, the point (4, 5) becomes:

We apply the dilation to the point and get:

Now, we go back to the original coordinates:

We can verify the transformation in a graph:

The graph makes sense, as the image point is half the distance from the center of dilation that the pre-image point.

Hello! If we rewrite this expression y = kx, we will see that k will have a variation according to y and x values, look:

Now, notice that the exercise has given a point to us: (5, 8).

Remember that (5, 8) = (x, y), so, let's replace it in the formula:

Right answer:

k = k equals (8 Over 5 ).

First, let's find how many gallons are needed:

If the price of one gallon is $3.86, then they will have to pay:

The price they will have to pay is $33.58.

Dividing the price by 3 (each student):

Answer: Each student will have to pay $11.20.

Solution:

Given that;

A person tosses a coin twice.

The tree diagram representing when a coin is tossed twice is shown below

From the tree diagram above;

The set representing the event E that the first toss is tails is

Hence, the answer is

Answer:

(B) Conclusion.

Explanation:

Given the statement:

If it is sunny Thursday, we will go to a ball game

The phrase: 'we will go to a ball game' is the conclusion.

To find the corresponding expression, solve the sum of the given expression and then divide it by 2.

ANSWER

The solution is (8, -2)

EXPLANATION

The substitution method consists in solving one of the equation for one of the variables - it will be as a function of the other variable, then substitute that variable by this expression into the other equation. There we'll have an equation for one of the variables, we solve that and the substitute the value into the expression we found first.

For this problem let's solve the first equation for y:

We can just add y to both sides of the equation and then subtract 58 from both sides:

Now we substitute y by this expression into the second equation:

And solve for x. First apply the distributive property to the second term:

Add like terms - this means adding the coefficients of x:

Then add 348 to both sides of the equation:

Finally, divide both sides by 47:

Now, to find y we just have to substitute x = 8 into the expression we found for y as a function of x:

So the solution to the equation is x = 8 and y = -2, which is the point (8, -2)

Explanation

By observation, the possible selections are

Answer: Option Y

Given:

Jeanine Baker makes floral arrangements. She has 16 different cut flowers and plans to use 4 of them

We will find a number of ways to select of the 4 flowers

As the arrangement is not necessary

We will use the combinations

So, the number of ways =

So, the answer will be 1820 possible ways to select 4 flowers

Explanation:

The initial expression is:

-a + 11b - 7 - 2a - b

The terms -a and -2a are like terms. In the same way, 11b and -b are like terms.

So, using the distributive property, we get:

-a + 11b - 7 - 2a - b

-a - 2a + 11b - b - 7

(-1 - 2)a + (11 - 1)b - 7

-3a + 10b - 7

Therefore, the simplified expression is: -3a + 10b - 7.

Answer: -3a + 10b - 7

We are given the following equation

Part A: What is the slope?

The standard equation of a line in slope-intercept form is given by

Where m is the slope and b is the y-intercept.

Comparing the given equation with the standard form, we see that the slope is 3.

m = 3

Option (A) is correct.

Part B: What is the y-intercept?

Comparing the given equation with the standard form, we see that the y-intercept is -1.

b = -1

The y-intercept is the value when the line cuts the y-axis, so the corresponding x-value is 0.

So the point is

(0, -1)

Option (A) is correct

Part C: graph y = 3x - 1

The above equation can be graphed by taking some coordinates (substitute x-values into the function and get the y-values from the function.

When x = -1

y = 3x - 1 = 3(-1) - 1 = -3 - 1 = -4

(-1, -4)

When x = 1

y = 3x - 1 = 3(1) - 1 = 3 - 1 = 2

(1, 2)

When x = 2

y = 3x - 1 = 3(2) - 1 = 6 - 1 = 5

(2, 5)

Let us sketch these points to form a line.

The above is a rough graph for the given equation y = 3x - 1

11 people

11 posibilities for president

10 possibilities for Vice president

11 x 10 = 110

Answer: 110 different combinations

Answer:

$19.03

Explanation:

Given the price to be $17.95 and a 6% tax, to determine the tax amount we have to find 6% of $17.95;

So the tax is $1.08. Let's go ahead and find the total cost by adding the tax to the price;

Therefore, the total cost is $19.03.

Step 1: Define the formula

The formula for finding the average rate of change is :

Step 2: Identify the coordinates of the points on the line

A(-3, -1), B(6, 2)

Step 3: Apply the formula

Hence, the average rate of change is 1/3

Answer: Option A

The given number is

The square root of 100 is 10.

Remember that whole and integers are also rational because they are a subset of rational numbers set.

Answer:

7/25

Step-by-step explanation:

2/5 x 7/10 =14/50 divide by 2/2 = 7/25

Okay, here we have this:

Considering the provided equation, we are going to solve it, so we obtain the following:

6 (3x - 2) = -4(5x - 3) + 8

18x - 12 = -20x + 12 + 8

18x - 12 = -20x +20

18x+20x=+20+12

38x=32

x=32/38

x=16/19

Finally we obtain that the solution for the equation is 16/19.

Answer:

∴ [tex]k = m^{2} - \frac{1}{4}[/tex]

Step-by-step explanation:

     [tex]m=\sqrt{k} + \sqrt {(\frac{1}{4})}[/tex]

   [tex]m^{2} = k+\frac{1}{4}[/tex]

[tex]k+\frac{1}{4} =m^{2}[/tex]

   ∴ [tex]k = m^{2} - \frac{1}{4}[/tex]

The total number of students are T = 80.

Determine the number of students who are Female od Suwanee.

The probability for slected person is Student or Suwanee is,

So answer is 23/40.

Option A is correct.

The tax rate she needs to pay is 24% of the $180.

Then first, we convert the 24% to decimal, by dividing by 100:

Now we multiply the total amount by the percentage in decimal:

The amount she will have to pay in taxes is $43.20