Factor: 1/2x + 12
Answers:
A. x + 12
B. 1/2(x + 24)
C. x + 24
D. 1/2(x + 6)

Answer:

burritos cost $4

tacos cost $ 1.75

Step-by-step explanation:

let b represent the price of burritos

let t represent the price of tacos

3b + 4t = 19

5b + 3t = 25.25

multiply the first equation by -3 and second by 4 to eliminate t

-3(3b + 4t = 19)

4(5b + 3t = 25.25)

-9b - 12t = -57

20b + 12t = 101

add both equations

11b  = 44

11       11

b = 4

substitute b = 4 into any equation to find the price of tacos

3b + 4t = 19

3(4) + 4t = 19

12 + 4t = 19

-12          -12

4t = 7

4    4

t = 1.75

The amount of Manure that can be produced each day is 27,000 litres

What is litres?

Litre can be described as a unit that is used to measure the quantity of a liquid. From the question stated above, we are asked to calculate the quantity of Manure that can be produced daily

Each animal produces 60 litres of manure

A total number of 460 cattle are on a feeding operation

= 460 × 60

= 27,000 litres

Hence the amount of manure produced daily is 27,000 litres

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Answer: 225

Step-by-step explanation:

Create a ratio part/whole for radians = part/whole for degrees

\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\)      Keep change flip because you are dividing fractions for left side

\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)

\(\frac{5}{8} (\frac{360}{1} ) =x\)

x = 225

Answer:

\(\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}\)

Step-by-step explanation:

\(f(x) = \sqrt{x-2} + 3\)

Replace f(x) by y

\(y = \sqrt{x-2} + 3\)

Interchange x and y

\(x = \sqrt{y-2} + 3\)

Solve for y

\(x = \sqrt{y-2} + 3\)

Subtracting 3 to both sides

\(x - 3 = \sqrt{y-2}\)

Taking square on both sides

\((x-3)^2 = y-2\)

Adding 2 to both sides

\(y = (x-3)^2 + 2\)

Replace \(y = f^{-1}(x)\)

\(f^{-1}(x) = (x-3)^2+2\)

Answer:

Step-by-step explanation:

Use Pythagorean to verify:

As we see the equation is not true, so the answer is no

Let's use Pythagorean theorem to verify

\(\\ \sf\longmapsto H^2=P^2+B^2\)

\(\\ \sf\longmapsto 5^2=4^2+2^2\)

\(\\ \sf\longmapsto 25=16+4\)

\(\\ \sf\longmapsto 25\neq 20\)

Not a right triangle

Answer:

6 hours

Step-by-step explanation:

11 minus 5 is 6 hours.

Answer:

Here’s your answer!

Step-by-step explanation:

Division problem: 2.2 hours ( 11 divided by 5)

Subtraction problem: 6 hours ( 11 - 5)

Hope this helped

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Answer:

1.80M+2.40L=21.60; M+L=4.20

Answer:

1.80M+2.40L=21.60; M+L=10

Step-by-step explanation:

Answer:

These two statements are equivalent because statement A is the contrapositive of statement B.

Step-by-step explanation:

In logic, when we have an "if" statement we can have its contrapositive or its converse.

Given a "if p, then q" (p is the hypothesis and q is the conclusion), the converse is "if q, then p", in other words, we interchange the hypothesis and the conclusion.

Now, given a "if p, then q", the contrapositive is "if not q, then not p". In other words, we take the negation of both the hypothesis and the conclusion and then we interchange them.

Now, let's take a look at our statements:

If a and b are two real numbers, and if ab = 0, then either a = 0 or b = 0.

In this case:

p = a and b are two real numbers and ab=0

q = either a = 0 or b = 0

Now, let's take the negative of p and q:

The negative of p would be: a and b are two real numbers and their product is not zero.

The negative of q would be: neither of the two real numbers is zero

Now, given than the contrapositive is "if not q, then not p" we would have:

If neither of two real numbers is zero, then their product is not zero.

We can see that this last sentence is the contrapositive of the first one and thus:

These two statements are equivalent because statement A is the contrapositive of statement B.

Answer:

Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.

Step-by-step explanation:

this is how you work it out with the net

Answer:

You must lay out the net, find the area of each shape and multiply, and then add each dimension.

The volume of the rectangular prism with the dimensions given are as follows:

v = 72 inches³

v = 36 inches³

v =  80 inches³

v = 54 inches³

where

l = length

w = width

h = height

Therefore,

a.  

b.

c.

d.

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Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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The equations that are parallel to the line 3x - 4y = 7 and pass through the point (-4, -2) can be represented by: \(y + 2 = \frac{3}{4} (x + 4)\)  and  \(3x - 4y = -4\)

We know that the equation can represent the slope-intercept form of a line: y = mx + c, where b is y-intercept and m is the slope

We can represent the line 3x - 4y =7 in the equation of slope-intercept form:   => 3x - 4y = 7  =>  4y = 3x - 7

          => \(y = \frac{3}{4} x - \frac{7}{4}\)

by comparing this, we get slope for equation 3x - 4y = 7 => m = 3/4

Also, Parallel lines have the same slopes so the slope of the parallel line will be m = 3/4

We are given that the line passes through (-4, -2) and with m = 3/4 we can get the point-slope form of the line: y - y₁ = m(x - x₁)

where (-4, -2) = (x₁, y₁)  and m = 3=4

        =>  \(y - (-2) = \frac{3}{4}(x - (-4)\)         =>  \(y + 2 = \frac{3}{4} (x + 4)\)

So,   \(y + 2 = \frac{3}{4} (x + 4)\) is the parallel line

By simplifying this equation, we get :

\(y = \frac{3}{4} (x + 4) -2\)   =>  \(y = \frac{3x +12 -8}{4}\)

\(4y = 3x + 4\)     =>   \(3x - 4y = -4\)

Hence, The equations representing the lines parallel to 3x - 4y = 7 are: \(y + 2 = \frac{3}{4} (x + 4)\) and \(3x - 4y = -4\)

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Answer:

5.421 > 5.4

Step-by-step explanation:

When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.

A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.

When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.

This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.

Therefore, the answer is option B: Y decreases and X increases.

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The amount of the Retained Earnings at the end of the year for Kolander Company is b. $54,000.

The retained earnings refer to the accumulated income not distributed to stockholders as dividends, which has accumulated over some financial years.

It is one source of equity financing.

Assets:

Cash and Cash Equivalents $85,000

Accounts Receivable           $30,000

Supplies                                  $6,000

Land                                      $42,000

Short-term Investments         $7,000

Building                                $59,000

Equipment                            $64,500

Total assets =                    $293,500

Liabilities and Equity:

Long-Term Notes Payable $59,000

Interest Payable                    $5,500

Accounts Payable              $38,000

Income Taxes Payable       $10,000

Common Stock                 $127,000

Total liabilities + Common Stock = $269,500

Retained earnings = $54,000 ($293,500 - $239,500)

Thus, the Retained Earnings at the end of the year for Kolander Company is b. $54,000.

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Question Completion with Answer Options:

Long Term Notes Payable $59,000

Interest Payable $5,500

Accounts Receivable $30,000

Land $42,000

Accounts Payable $38,000

Shortminus term Investments $7,000

Building $59,000

Income Taxes Payable $10,000

Cash and Cash Equivalents $85,000

Equipment $64,500

Common Stock $127,000

Supplies $6,000

a. $177,000

b. $54,000

c. $113,500

d. $167,500

Answer:

0.777777777777777...

The total out-of-pocket expense for one month is $677. The correct option is D.

The first step is to calculate the amount of the prescription costs that will be covered by the insurance plan.

Since the family will fill 6 prescriptions per month and the total cost is $850, the average cost per prescription is $850/6 = $141.67 per prescription.

The insurance plan covers 90% of the first $450 in prescription costs, which is $450 * 0.9 = $405.

The remaining $141.67 - $405 = -$263.33 of the first prescription is not covered, since it is below the $450 threshold. This means that the family will have to pay the full cost of the first prescription, and the insurance will not contribute anything to it.

For the remaining 5 prescriptions, the insurance will cover 80% of the cost, since they are over the $450 threshold. The remaining 20% will be the family's responsibility.

The cost of the remaining 5 prescriptions is $141.67 x 5 = $708.35.

The insurance will cover 80% of this amount, which is $708.35 x 0.8 = $566.68.

The family will be responsible for the remaining 20% of the cost, which is $708.35 x 0.2 = $141.67.

Adding up all the costs, the total out-of-pocket expense for one month is:

$405 (first prescription) + $141.67 (20% of remaining prescription costs) + $48 (monthly premium) = $594.67

Therefore, the correct answer is option D: $677.

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===================================================

Explanation:

Direct variation equations are of the form y = kx

k = constant of variation

For choice A, we have k = 1 to lead to y = 1x or simply y = x.

This is why choice A is the answer.

----------------

Choice B is ruled out because it's not linear.

Choice C is ruled out because the y intercept is not 0. All direct variation equations go through the origin.

Choice D is ruled out for the same reason as choice C.

Percentage of 11th and 12th graders preferring Ham sandwich is 24.2%

Correct option is C.

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Given, table

               9th and 10th Graders      11th and 12th Graders

Turkey                     112                               150

Ham                         64                                58

Vegetarian              24                                 32

Number of total 11th and 12th graders

= 150 + 58 + 32

= 240

Number of 11th and 12th graders preferring ham sandwich

= 58

percentage of 11th and 12th graders preferring ham sandwich

= (58/240)×100

= 0.242 ×100

= 24.2%

Hence, 24.2 percent 11th and 12th graders prefer ham sandwich.

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The given system of equations is expressed as

- 2x + y + 4z = 5 equation 1

x + 3y - z = 2 equation 2

4x + y - 6z = 11 equation 3

From equation 2, z = x + 3y - 2

Substituting z = x + 3y - 2 into equation 1 and 3, it becomes

For equation 1,

- 2x + y + 4(x + 3y - 2) = 5

- 2x + y + 4x + 12y - 8 = 5

- 2x + 4x + y + 12y = 5 + 8

2x + 13y = 13 equation 4

For equation 3,

4x + y - 6(x + 3y - 2) = 11

4x + y - 6x - 18y + 12 = 11

4x - 6x + y - 18y + 12 = 11

- 2x - 17y = 11 - 12

- 2x - 17y = - 1 equation 5

We would eliminate x from equation 4 and 5 by adding both equations. It becomes

2x + - 2x + 13y + - 17y = 13 + - 1

2x - 2x + 13y - 17y = 13 - 1

- 4y = 12

y = 12/- 4

y = -3

Substituting y = - 3 into equation 5, it becomes

- 2x - 17*-3 = -1

- 2x + 51 = - 1

- 2x = - 1 - 51

- 2x = - 52

x = - 52/- 2

x = 26

Substituting x = 26, y = - 3 into z = x + 3y - 2, it becomes

z = 26 + 3*-3 - 2

z = 26 - 9 - 2

z = 26 - 11

z = 15

The solution is

[26, - 3, 15)

Step-by-step explanation:

please refer to sketch for detail

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

Answer:

F

E

D

C

Step-by-step explanation:

The point that is not a solution to any of the equations is the point that no lines pass through. Therefore, this point is Point F.

The point that is a solution to only the equation x+y=4 is the point that only line B passes through. Therefore, this point is Point E.

The point that is a solution to only the equation 5x+10y=25 is the point that only line A passes through. Therefore, this point is Point D.

The point that represents the solution to the system is the point that both lines pass through.  Therefore, the point is Point C.

Answer:

6 - (-8)

is 6 + 8

Step-by-step explanation:

Answer:

she will gain 50 so

she will lose 150 if she stays but if she leaves she will save 100 so

-150+100=-50

i don't realy get the standard devition part ive heard of it but i don't rly know what it is

Hope This Helps!!!

The correct options include:

b. In the fifth year Mariah's balance will be higher than Colton's

c. Mariahs beginning balance was 400 and coltons beginning balance was 500.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, from the table

(0, 500), (1, 550), (2, 600), (3, 650) and (4, 700)

The equations for the given points is y=500+50t

Put t=0, 1, 2, 3, 4 in f(t)=400(1.15)t

When t=0, f(0)=$0

When t=1,

f(1)=400×1.15×1

= $460

When t=2,

f(2)=400×1.15×2

= $920

When t=3,

f(3)=400×1.15×3

= $1380

When t=4,

f(4)=400×1.15×4

= $1840

Fifth year:

The balance in Mariah account is

f(t)=400(1.15)t

⇒ f(5)=400×1.15×5

= $2300

The balance in Colton account is

y=500+50t

⇒ y=500+50(5)

= $750

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Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!