A store has two types of animal feed available. Type A contains 3 pounds of oats and 3 pounds of corn per bag. Type B contains 1 pound of oats and 7 pounds of
corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 18 pounds of oats and at least 54 pounds of corn. The store
only has 11 bags of type A feed and 12 bags of type B feed in stock. Type A costs $4 per bag, and type B costs $1 per bag. How many bags of each type should
the farmer buy to minimize her cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
Type A feed:
Type B feed:
bag(s)
bag(s)

Answers

Answer 1

The farmer will purchase five bags of kind A and six bags of type B.

Per bag, Type A includes 9 pounds of oats and 3 pounds of maize.

Per bag, Type B includes 2 pounds of oats and 10 pounds of maize.

The farmer is looking for a blend that comprises at least 57 pounds of oats and 75 pounds of maize.

Allow the farmer to mix type A feed = x pounds.

and feed type B = y pounds

(9x + 2y) pounds of oats when blended

Corn amount when combined: (3x + 10y) pounds

Oats equation: 9x + 2y = 57 ———— (1)

Corn equation: 3x + 10y = 75 ————- (2)

Subtract equation (2) from equation (2) by multiplying it by three (1)

3(3x + 10y) - (9x + 2y) = 75×3 - 57

9x + 30y - 9x - 2y = 225 - 57

28y = 168

y = 6 bags

derived from the equation (1)

9x + 2×6 = 57

9x + 12 = 57

9x = 57 - 12

9x = 45

x = 5 bags

Because the business has 15 bags of each sort, each bag costs $4.

As a result, the cost of 5 bags of type A and 6 bags of type B is = (54) + (64)

= 20 + 24

= $44

The farmer intends to buy five bags of kind A and six bags of type B.

Learn more about mathematical expressions at

https://brainly.com/question/14070584

#SPJ1


Related Questions

For a given recipe, 24 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 8 cups of flour are used?

Answers

Answer:

First, 24 divided by 8 equals 3. this means you divide 12 by 3. you get 4. 4 cups of sugar will be used when 8 cups of flour are used.

Is the expression −9×(−9)−9 equivalent to [−9×(−9)]−9​? Explain.

Answers

Using BODMAS we can conclude, Yes, both will give same result.

The rule used to solve mathematical expressions is known as the BODMAS rule. The order of operations for mathematical formulas requiring several operations is known as BODMAS. B. Brackets, O. Order of powers, D. Division, M. Multiplication, A. Addition, and S. Subtraction make up the acronym.

−9×(−9)−9

⇒ - 9 × 81

⇒ -729

⇒ [−9×(−9)]−9​

⇒ [81] -9

⇒ -729

To learn more about BODMAS from given link

https://brainly.com/question/16788360

#SPJ10

Find the value of angle A in the triangle below:
angle A =
A
B
95°
55



PLEASE HURRY

Answers

30*
! Since 95+55=150 and 180-150 is 30

Graph the image of the figure using the transformation given.

Answers

Answer:

D

Step-by-step explanation:

i have been working to become a major in math and i need some help with what this second word might be for this problem from last weeks exam

Answers

I believe it is altitude

What is the probability of
spinning a yellow?
[?]%

Answers

Answer:

12.5

Step-by-step explanation:

there are eight triangles and one yellow so 1/8=12.5%

Answer: 12.5%

Step-by-step explanation:

There are 8 sections and 1 of them is yellow so 1 divided by 8 is 0.125 or 12.5%

Ava took a taxi from her house to the airport. The taxi company charged a pick-up fee
of $1.10 plus $3.75 per mile. The total fare was $19.85, not including the tip. Which
tape diagram could be used to represent the context if a represents the number of
miles in the taxi ride?
A
B
1.1
3.75
1.1
1.1X
3.75
19.85
1.1
19.85
3.75...
3-75
1.1

Answers

Using a linear function, it is found that her taxi ride was of 5 miles.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which the coefficients are described as follows:

The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).

For the cost function, we have that:

The slope is the cost per mile, hence m = 3.75.The intercept is the flat fee, hence b = 1.10.

Thus the cost for a ride of x miles is of:

C(x) = 3.75x + 1.10.

Her total fee was of $19.85, hence the mileage is found as follows:

19.85 = 3.75x + 1.10

x = (19.85 - 1.10)/3.75

x = 5 miles.

Which was the length of her taxi ride.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

In ΔTUV, UV = 14, VT = 19, and TU = 9. Which statement about the angles of ΔTUV must be true?

Answers

In ΔTUV, UV = 14, VT = 19, and TU = 9, The statement about the angles of ΔTUV that must be true is  [tex]m \angle U > m \angle T > \angle V[/tex] Option 5

This is further explained below.

What are angles?

Generally, A triangle's angle is a measurement of the length of the side that is perpendicular to it.

This indicates that if one of the sides is longer in length, then the measure of the angle opposite to it will also be longer.

The angles in the triangle TUV are denoted by the symbols T, U, and V.

The side that is UV, TV, and T U correspondingly is the side that is opposite to these angles.

The length of the opposing sides will immediately determine the measure of the angles, which will be directly proportionate to those angles.

since V T>U V>T U, the arrangement of angles will correspond to this as follows: [tex]m \angle U > m \angle T > \angle V[/tex] Option 5

Read more about angles

https://brainly.com/question/28451077

#SPJ1

CQ

In $\triangle T U V$, UV $=14, V T=19$, and $T U=9$. Which statement about the angles of $\triangle T U V$ must be true?

$\mathrm{m} \angle V>\mathrm{m} \angle T>\mathrm{m} \angle U$

$\mathrm{m} \angle T>\mathrm{m} \angle U>\mathrm{m} \angle V$

$\mathrm{m} \angle U>\mathrm{m} \angle V>\mathrm{m} \angle T$

$m \angle V>m \angle U>m \angle T$

$m \angle U>m \angle T>m \angle V$

$\mathrm{m} \angle T>\mathrm{m} \angle V>\mathrm{m} \angle U$

A private university has a endowment fund that currently has 49 million dollars in it. if she invested in a one year cd that pays 5.12% interest compounded continuously, how much interest will it earn

Answers

If the university invest in a one year CD at 5.12% interest compounded continuously, the interest it will earn is determined by calculating as: Interest = Future value – Present value which would be $2.54 million

Continuously compounded interest means that a principal amount is constantly earning interest with infinite compounding periods for a certain time period. There are no increment compounding periods as with monthly or annually compounding.

The continuously compounding formula:

FV = PV* e^rt

Where FV is the future amount, PV is the initial amount, e is a mathematical constant (2.7183), r is the rate and t is the time period.

Hence,

FV = 49* 2.7183^(0.0512*1) =51.57

Interest earned= 51.57-49=2.54

Hence, the university will earn an interest of $2.54 million.

Learn more about Continuously compounded interest:

https://brainly.com/question/3932907

#SPJ4

(20 points) i need help with this asap (the x is -20)

Answers

Answer:

119º and 61º

Step-by-step explanation:

2x-15 and 3x+5 are supplementary because the angles corresponding to 2x-15 is supplementary with 3x+5

2x-15+3x+5=180

5x-10=180

5x=190

x=38

fill in x

2(38)-15

=76-15

=61

angle is 61

fill in x for angle 2

3(38)+5

=114+5

=119

angle 2 is 119

Mai is filling her fish tank. Water flows into the tank at a constant rate complete the table you answer the questions. 1. How many gallons of water will be in the fish tank after 3 minutes? Explain your reasoning. 2. How long will it take to fill the tank with 40 gallons of water. Explain your reasoning. 3. What is the constant of proportionality?

Table:
0.5 : 0.8
1 : ?
3 : ?
? : 40

Answers

1. Based on the proportional relationship table created, 4.8 gallons of water will be in the fish tank after 3 mins.

2. 25 minutes.

3. The Constant of proportionality is: 1.6.

How to Determine the Constant of Proportionality?

In a proportional relationship between variables x and y, the Constant of proportionality, k, is determined using any pair of values from the table as:

k = y/x.

The relationship is modelled as y = kx.

Constant of proportionality = k = y/x = 0.8/0.5

Constant of proportionality = k = 1.6

The equation for the relationship would be: y = 1.6x. Use the equation to complete the table:

For x = 1:

y = 1.6(1) = 1

For x = 3:

y = 1.6(3) = 4.8

For y = 40:

40 = 1.6x

40/1.6 = x

x = 25

The complete table is:

x             y              

0.5        0.8

1            1.6

3           4.8

25        40

1. Using the proportional relationship table, we can conclude that, 4.8 gallons of water will be in the fish tank after 3 mins.

2. Using the proportional relationship table, the time it would take to fill the tank with 40 gallons of water is: 25 mins.

3. Constant of proportionality = k = 1.6.

Learn more about the Constant of proportionality on:

https://brainly.com/question/1835116

#SPJ1

PLEASE HELP DUE IN 4 MINUTES, THANK YOU!!

Answers

Answer:

A 100% increase in a total means the final amount is 200% of the initial amount.

A 100% decrease in a total means the final amount is 0% of the initial amount.

Error means that you were a way off from the real value

Step-by-step explanation:

3 Violet's Videos
clients. One week after launching the website, she had posted a total of 6 videos. At the end
Violet is a yoga instructor who regularly posts new exercise videos on a website for her
of week 2, she had a total of 10 videos. At the end of week 3, she had a total of 14 videos. At
the end of week 4, she had a total of 18 videos.

Find the Term Value

Answers

The completed table is:

Term Number    1       2    3    4   5     6

Term Value       6     10   14   18  22   26

What are the term values?

In order to determine the term values, the rate of increase in the number of videos that Violet has at the end of each week has to be determined.

Rate of increase in the number of videos can be determined by dividing the change in the number of videos per week by the change in the number of weeks.

Rate of increase = change in the number of videos / change in the number of weeks

(10 - 6) / (2 - 1)

4 / 1 = 4 videos per week

Number of videos in week 5 = 18 + 4 = 22

Number of videos in week 6 = 22 + 4 = 26

To learn more about rate of change, please check: https://brainly.com/question/8305748

#SPJ1

what is the distributive property of 24+40​

Answers

the distributive property of 24+40 is 8

A driver travels 55km in 1 hour. He then drives at a speed of 35 km/h for 2 hours. Next, he drive 175km in 3 hours. What was his average speed

Answers

Answer:

108.333 km/hour

Step-by-step explanation:

See attached worksheet.

Custard is heated to a temperature of 180°F. It is then allowed to cool in a refrigerator whose temperature is 30°F. The custard cools to 120°F in 30 minutes. Determine how long will it take for the custard to cool to 50°F.

Answers

Answer: About 65 minutes.

It changes an average of about 60 degrees Fahrenheit every half hour.

180     120      60    50

 0       30       60     65

Now it is about ten degrees until it's fifty. Since it takes thirty minutes to go down sixty degrees, divide sixty by ten to get six. Then divide thirty by six to get five. So, it should take about 65 minutes to cool down to 50 degrees.

It will take approximately 35 minutes for the custard to cool from 120°F to 50°F.

To determine how long it will take for the custard to cool to 50°F, we need to consider the rate at which it cools. From the given information, we know that the custard cools from 180°F to 120°F in 30 minutes.

To find the rate of cooling, we can calculate the temperature change per minute.

The temperature decreases by 180°F - 120°F = 60°F over 30 minutes. So, the rate of cooling is 60°F / 30 minutes = 2°F per minute. Now, let's use this rate to calculate how long it will take for the custard to cool from 120°F to 50°F.

The temperature difference between 120°F and 50°F is 120°F - 50°F = 70°F. To cool from 120°F to 50°F at a rate of 2°F per minute, it will take 70°F / 2°F per minute = 35 minutes.

To know more about temperature here

https://brainly.com/question/27944554

#SPJ2

Solve the equation.
-3x + 1 + 10x = x + 4
HN
0 x = -1/
5/6
0 x = 2/1/2
O x = 12
O x = 18

Answers

Value of x for equation -3x + 1 + 10x = x + 4 is 1÷2.

Given equation,

-3x + 1 + 10x = x + 4

Shifting the variables to the left-hand side and constant to the right-hand side,

-3x - x + 10x = 4 - 1

Simplifying the equation,

10x - 4x = 3

6x = 3

x = 1÷2

When x from the right side shifts to the left side, its sign changes, and similarly, when 1 from the left side shifts to the right side, its sign changes.

x = 0.5

Therefore, value of x = 1÷2 that is 0.5

Learn more about linear equations at

https://brainly.com/question/2074942?referrer=searchResults

#SPJ9

100%− 9/10 equals what

Answers

Answer: 100%-9/10= -0.8

Step-by-step explanation:

100%-9=-8

-8/10=-0.8


#10 Eastern Mountain Sports is offering 20%
off of your entire purchase. You have an
online code that will give you an additional
10% off of the sale price(s). You decide to
buy a Kayak, a seat, and a paddle. How
much will you pay after receiving the
discount and using your online code?
EASTERN MOUNTAIN SPORTS
PELICAN Summit Kayak $299.99
BB Adjustable Paddle $191.96
YAK GEAR Kayak Seat $99.99

Answers

Answer: $426.20

Step-by-step explanation:

The subtotal is [tex]299.99+191.96+99.99=\$ 591.94[/tex].

[tex](591.94)(0.8)=\$473.552\\\\(473.552)(0.9) \approx \$426.20[/tex]

a function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. show that each of the following functions has a horizontal asymptote by calculating the given limit.

Answers

A function can only have two horizontal asymptotes, hence the answer is no. By examining the degrees of the numerator and denominator, one can find the horizontal asymptote of a rational function.

If limxf(x)=L or limxf(x)=L, a function f(x) will have the horizontal asymptote y=L. Therefore, we simply calculate the function's limit as it approaches infinity and again as it approaches negative infinity to locate horizontal asymptotes. Based on the degree of the numerator, n, and the degree of the denominator, m, horizontal asymptotes adhere to three principles. The horizontal asymptote is y = 0 if n m. The horizontal asymptote is y = a/b if n = m. There is no horizontal asymptote if n > m. As x gets closer to 0, we say that f(xlimit )'s is infinite. A boundary or a limit is now a number.

Learn more about horizontal here-

https://brainly.com/question/9083871

#SPJ4

One factor of the function f(x) = x3 − 9x2 + 20x − 12 is (x − 6). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

Answers

For the given function f(x), x-intercepts are 1,2 and 6 and the y-intercept is -12

Given :

[tex]f(x) = x^{3} -9x^{2} +20x -12 \\[/tex]

One of the factors of f(x) is (x-6)

Dividing f(x) by (x-6), we get :
[tex]\frac{x^{3} -9x^{2} +20x -12 \\}{x-6} = x^{2} -3x +2[/tex]

Now expanding, [tex]x^{2} -3x +2[/tex]

[tex]x^{2} -3x +2 = x^{2} -2x -x +2 =x(x-2) -(x-2) = (x-2)(x-1)[/tex]

Hence, [tex]x^{3} -9x^{2} +20x -12 = (x-6)(x-1)(x-2)[/tex]

For x-intercept, f(x) = 0 . Then

(x-6)(x-1)(x-2) =0

x = 1,2 and 6

For y-intercept, x=0 in f(x)

f(0) = -12

Hence, the x-intercepts are 1,2, and 6 and the y-intercept is -12.

To read more about intercepts, visit https://brainly.com/question/14180189

#SPJ1

The cost of manufacturing a cake is directly proportional to the volume of the cake.
The baker makes a 70% profit when he sells a large rectangular cake.
The baker sells a large rectangular cake for £6.80 The baker decides to sell smaller rectangular cakes.
The length, width, and height of the smaller cakes are all half of those of the large rectangular cake.
He sells a pack of 6 of the smaller cakes for £6.50

How much profit does he make on the pack of smaller cakes?

Answers

Answer:

The baker makes £3.50 profit on smaller cakes

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

Given

Large cake:

Price = £6.80,Profit = 70%

Small cake:

Number = 6,Price = £6.50,Dimensions = each side is 1/2 of the large cake

Solution

The profit is the difference of the cost and selling price.

Find the cost x of large cake:

x + 70% = 6.801.7x =  6.80x = 4

Find the volume of the pack of smaller cakes, taking the volume of the large cake as a unit:

6*(1/2)³ = 6*1/8 = 3/4

Cost of the pack of smaller cakes is proportional to the volume:

4*3/4 = 3

Profit made on smaller cakes:

6.50 - 3 = 3.50

What is the missing height?

Answers

Answer:

h = 6.36619772 cm

Step-by-step explanation:

h = (3 * v) / (πr2)

Answer:

h = 20 cm

Step-by-step explanation:

the volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( where r is the radius )

given r = 9 and V = 540π , then

[tex]\frac{1}{3}[/tex] π × 9² × h = 540π

[tex]\frac{1}{3}[/tex] × π × 81h = 540π

27πh = 540π ( divide both sides by 27π )

h = [tex]\frac{540\pi }{27\pi }[/tex] = 20 cm

Write an expression that represents the total owed for 3 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $25?
2(25) + c
25c + 3
3(c) + 25
3(c + 25)

Answers

Answer:

3(c) + 25

Step-by-step explanation:

Write an expression that represents the total owed for 3 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $25?

2(25) + c

25c + 3

3(c) + 25

3(c + 25)

simplify:-
(-4)3
this is the chapter of exponents and power

Answers

-64 this is the answer
answer is -64 because (-4)^3 means you’re multiplying -4 THREE times.

it goes -4 x -4 x -4 = -64

and remember that if you have a negative number and have an ODD number as an exponent, you will always end up with a negative number as your answer. this is because -4 x -4 is 16 that’s positive but then 16 x -4 is -64

so if you had a negative number and had an EVEN number as an exponent, you would end up with a positive number.

so your answer therefore is -64


Assume that each circle shown below represents one unit. Express the shaded
amount as a single fraction and as a mixed number.

Answers

Shaded portion in single fraction is [tex]\frac{37}{10}[/tex] and mixed number is 3[tex]\frac{7}{10}[/tex] .

What is difference between fraction and mixed number?

Single fraction is represented as [tex]\frac{p}{q}[/tex]   form where p is numerator and q is denominator and value of q can't be zero. Example [tex]\frac{5}{9}[/tex] .

Mixed number contains two part one is an integer and other is fractional part. It is represented as N [tex]\frac{p}{q}[/tex]. Example  5[tex]\frac{1}{2}[/tex] .

According to figure, one shaded circle is equal to one unit and one shaded circle contain 10 sector.

There are three shaded circle and a circle with 7 sector shaded.

So, Total shaded area in single fraction = 1 + 1 + 1+ [tex]\frac{7}{10}[/tex] =   [tex]\frac{37}{10}[/tex]

and total shaded area in mixed number = 1 + 1 + 1 +  [tex]\frac{7}{10}[/tex] = 3 + [tex]\frac{7}{10}[/tex] = 3[tex]\frac{7}{10}[/tex] .

Hence, shaded portion in single fraction is [tex]\frac{37}{10}[/tex] and mixed number is 3[tex]\frac{7}{10}[/tex] .

To learn more about fraction using the link below

https://brainly.com/question/17220365

#SPJ9

A spherical balloon is inflated so that its volume is increasing at the rate of 12 cubicfeet per minute. How fast is the radius of the balloon increasing when the radius is 6feet?

Answers

Given:

The rate of change in volume = 12 cubic feet per minute.

We need to find the rate of change of radius at radius = 6 feet.

Consider the formula to find the volume of the sphere.

[tex]V=\frac{4}{3}\pi r^3[/tex]

Differentiate with respect to t.

[tex]\frac{dV}{dt}=\frac{4}{3}\pi\times3r^2\times\frac{dr}{dt}[/tex][tex]\text{ Substitute }\frac{dV}{dt}=12\text{ and r=6 in the formula.}[/tex]

[tex]12=\frac{4}{3}\pi\times3(6)^2\times\frac{dr}{dt}[/tex]

[tex]12=144\pi\times\frac{dr}{dt}[/tex]

Dividing both sides by 144pi, we get

[tex]\frac{12}{144\pi}=\frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt}=\frac{1}{12\pi}[/tex]

[tex]\frac{dr}{dt}=\frac{1}{37.68}=0.0265\text{ feet per minute}[/tex]

Hence the radius of the balloon increases by 0.03 feet per minute.

Please simplify this equation and find what y is

Answers

Answer: y=7

Step-by-step explanation:

We need to combine like factors in this term by adding up all the exponents and copying the base.

No exponent implies the value of 1.

If this helped you please consider marking my answer as the brainliest! How? Once you get more than 1 answer of a question. A message is shown above each answer that is "Mark as brainiest". Thank you!

Answer:

y =7

Step-by-step explanation:

Find the Properties to graph this Rational Expression. DO NOT GRAPH. If an answer is "none" type in "none" for the answer blank. Make sure to type in your Asymptotes correctly(x=y=)F(x)=-4x+8/x^2-x-2Need to answer:Hole:(___,___)Vertical asymptote:______X-intercept:(___,___)Y-intercept:(___,___)Horizontal asymptote:____

Answers

Given data:

The given expression is f(x)= (-4x+8)/(x^2 -x-2).

The hole of the graph is x=2.

The expression for the vertical asymptode is,

[tex]x=-1[/tex]

The expression for the horizontal asymptode is,

[tex]y=0[/tex]

There is no x-intercept, and y-intercept is,

[tex](0,\text{ -4)}[/tex]

Thus, the

Help for trigonometry class please

Answers

The most appropriate choice for matrix and multiplicative inverse of matrix will be given by

B is the multiplicative inverse of A

What is a matrix and multiplicative inverse of matrix?

Matrix is a rectangular representation of numbers or symbols arranged in the form of rows and column. Matrix is a very important tool in mathematics.

To learn about multiplicative inverse, it is important to know about identity matrix

[tex]\begin{bmatrix} 1 & 0 \\ 0 & 1\end{bmatrix}[/tex] is a 2 x 2 identity matrix denoted by I.

Let A and B be two matrices

A is said to be a multiplicative inverse of B if AB = BA = I

Here,

A=   [tex]\begin{bmatrix} 2& 1\\1 & 1\end{bmatrix}[/tex] B = [tex]\begin{bmatrix} 1& -1\\-1 & 2\end{bmatrix}[/tex]

AB =

[tex]\begin{bmatrix} 2& 1\\1 & 1\end{bmatrix}\begin{bmatrix} 1& -1\\-1 & 2\end{bmatrix}[/tex]

[tex]\begin{bmatrix} 2\times 1 + 1 \times -1& 2 \times -1 + 1\times 2\\1 \times 1+1\times-1 & 1 \times -1 + 1 \times 2\end{bmatrix}\\\begin{bmatrix} 1& 0\\0&1\end{bmatrix}\\[/tex]

BA =

[tex]\begin{bmatrix} 1& -1\\-1 & 2\end{bmatrix}\begin{bmatrix} 2& 1\\1 & 1\end{bmatrix}[/tex]

[tex]\begin{bmatrix} 1\times 2 + -1 \times 1& 1 \times 1 + -1\times 1\\-1 \times 2+2\times 1 & -1 \times 1+ 2 \times 1\end{bmatrix}\\\begin{bmatrix} 1& 0\\0&1\end{bmatrix}\\[/tex]

AB = BA = [tex]\begin{bmatrix} 1& 0\\0&1\end{bmatrix}\\[/tex]

So B is the multiplicative inverse of A

To know more about matrix and multiplicative inverse of matrix, refer to the link:

https://brainly.com/question/16862241

#SPJ9

Other Questions
Definition of conservation What are 3 key takeaways you have about investing in a 401(k) plan that will help you when youre ready to make this decision in the real world? Is this a hypothesis?If I jump up then I will eventually return to the ground because of gravity. Which number is greater than 555,621,000?A.5.0 x 10*6B.6.2 x 10*7C.5.55621 x 10*7D.9.99 x 10*6 Describe the killers personality. USE RACE. Edgar Allen Poe Tell-Tale Heart help meeeeeeeeeeee pleaseeeeeeeeeeeeee!! find the equation of the line Describe how to solve the following:a. 225b. 150 what is the perimeter for a rectangle with a length of 12x - 7 and a width of 5 Find the value of xA. x = 20b. x = 32c. x = 24 d. x = 28 Which element should be included in the introduction of a historical eassay? Solve the inequality for x.21 > x+2Simplify as much as posible. The difference between the total surface area and curvedsurface area of a hemisphere is 154 cm2, find its volume. In a city in Ohio, the sales tax rate is 7.5%. If you buy a blanket for $22.00 and a pillow for $8.00, what is your total bill of the blanket and pillow including tax? Kwame knows the most quick route to the library. Which answer choice corrects the mistake in the sentence? A. Kwame knows the most quick route to the library. B. Kwame knows the more quicker route to the library. C. Kwame knows the quicklier route to the library. D.Kwame knows the quickest route to the library. ist the following aqueous solutions in order of increasing melting point. (The lastthree are all assumed to dissociate completely into ions in water.)(a) 0.1 m sugar(b) 0.1 m NaCl(c) 0.08 m CaCl2(d) 0.04 m Na2SO4 Flan- servers 10 people; $10.85 per person 1/8 teaspoon salt.1(12 fluid once) 1 teaspoon vanilla1/4 cup brown sugar Anticholinergic medications are ordered for patients with peptic ulcer to.......1 pointInhibit smooth muscle contraction in the G.I. tract.Inhibit and neutralize gastric acid secretion.Provide a protective coating in the stomach lining i need help with this question the plastic spoon float because the upthrust is more than the weight of the metal spoon so the upthrust pulls it up to float. True OR False