you are employed at a grain processing plant that sells cornmeal for $1.28 per pound. if a sack of cornmeal weighs 4 pounds 12 ounces, how much does it cost?

Yes, Lila and Wassim saved the extra money of £16.

For the given data in question;

Charge/person for Camping Site : £5 per night

Charges for Camping Site Tent = £15 per night for Tent pitch > 10m²

calculate the tent pitch;

Tent Pitch = 2.5 × 4.2 = 10.5 > 10

Total charges for tent = £15 per night

As, 2 Lila and Wassim sharing Tent

Total charges per night = Charge/person + Charges for Camping Tent

= 2× £5 + £15

= £25 per night

For every 5 nights of the stay, pay is 4.

Cost for 10 nights for two persons.

Lila and Wassim have to pay the cost  for 8 Nights;

Total charges = £25 × 8  = £200

Lila and Wassim each plan to save £12 per week  for 9 weeks.

Thus, the total Saving = 2 ×  9 ×  12 = £216

total Saving =  216 > 200

As, total savings of Lila and Wassim are £216 which are greater than the £200 cost of camping.

The extra money saved is;

= £260 - £200

= £16.

Therefore,  Yes, Lila and Wassim will save sifficient money to cover all camping charges with extra saved money of £16.

To know more about the total cost, here

https://brainly.com/question/25109150

#SPJ9

Let [tex]n=0[/tex]. Then [tex]0^3 = 0[/tex] but 0 > 0 is a false statement.

Answer:

Step-by-step explanation:

In 6 years, because I subtracted 3 from 259 6 times and added 20 to 362 6 times.

The direction cosines and direction angles will be - [tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex] and

cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex]) respectively.

The direction cosines of a specified vector, m = xi + yj + zk, are the cosines of the angles it makes well with x, y, and z axes.

The direction cosines of m are cos a, cos b, and cos c  in the x, y, and z axes, respectively, if a forms the angles a,b and c (which are the direction angles) with the x, y, and z axes, respectively.

Let us consider equation as =  [tex]xi + yj +zk[/tex]

vector of the equation will be - (x,y,z)

r = length of vector = [tex]\sqrt{x^{2} +y^{2} +z^{2} }[/tex]

The direction cosines will be -

[tex]\frac{x}{r},\frac{y}{r},\frac{z}{r}[/tex]

angles will be - cos⁻¹([tex]\frac{x}{r}[/tex]), cos⁻¹([tex]\frac{y}{r}[/tex]),cos⁻¹([tex]\frac{z}{r}[/tex])

Let us consider an example,

If we have vector as (1,2,3)

= i + 2j + 3k

= r = [tex]\sqrt{1^{2} +2^{2} +3^{2} }[/tex]

= [tex]\sqrt{14}[/tex]

Direction cosines will be -

[tex]\frac{1}{\sqrt{14} } , \frac{2}{\sqrt{14} }, \frac{3}{\sqrt{14} }[/tex]

Angles will be -

cos⁻¹([tex]\frac{1}{\sqrt{14} }[/tex]), cos⁻¹([tex]\frac{2}{\sqrt{14} }[/tex]),cos⁻¹([tex]\frac{3}{\sqrt{14} }[/tex])

To learn more about direction cosines from given link

https://brainly.com/question/17330233

#SPJ4

The square root of 162 to the nearest tenth is 12.7, estimated using the prime factorization method.

What is the square root of a number?

The square root of a number x is given by y, such that (y)2 = x. It is denoted by the symbol, ' √ '. For example, the square root of 4 is 2 and the square root of 169 is 13, etc.

Calculation of the square root of 162

We are given the number 162

Let us apply the prime factorization method to find the square root of 162

The prime factors of 162 are 2 × 81

The prime factors of 162 in pairs are 2 × (3 × 3) × (3 × 3)

Now, the square root of 162 is given by:

√162 = √ (2 × (3 × 3)2)

= 3 × 3 × √2

= 9 × √2

= 9 × 1.414

= 12.726

Hence, the square root of 162 up to the tenth place is 12.7.

To learn more about the square root, visit here:

https://brainly.com/question/11388449

#SPJ4

Answer:

x = 16

Step-by-step explanation:

[tex]\frac{3x}{4}[/tex] + 3 = 15 (subtract 3 from both sides )

[tex]\frac{3x}{4}[/tex] = 12 ( multiply both sides by 4 to clear the fraction )

3x = 48 ( divide both sides by 3 )

x = 16

that is

subtraction / multiplication / division

Answer: ( not totally sure but I hope this helps)

Step-by-step explanation:

1. Given

2. Multiplication property of equality

3.  Subtraction

4. Division property of equality

Solution: 8x-4y+9

Step-by-step explanation:

Combine like terms

3x + 5x - 4y + 9

8x - 4y + 9

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute 0 for x and solve for y.

x-intercept(s): (−9/8,0)

y-intercept(s): (0,9/4)

-14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.

Now,

Given: Two expressions: (-5x + 7) and (9x + 5).

To find: Expression obtained when (-5x + 7) is subtracted from (9x + 5).

Finding:

By basic algebra, we can write:

=> ( -5x + 7) - (9x + 5) = ( -5x + 7) - 9x - 5

=> -5x - 9x + 7 - 5 = -14x + 2

Hence,  -14x + 2 is the expression which represents the difference when (-5x + 7) is subtracted from (9x + 5) in simplest terms, as obtained by basic algebra.

To learn more about basic algebra, refer to the link:https://brainly.com/question/723406

#SPJ4

Answer: y<3x-4

Step-by-step explanation:

[tex](0,-4) \ \ \ \ \ \ (1,-1)[/tex]

                           The equation of the line

                                 [tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ x_2=1\ \ \ \ y_1=-4\ \ \ \ y_2=-1\\Hence,\\\frac{x-0}{1-0} =\frac{y-(-4)}{-1-(-4)} \\\\\frac{x}{1} =\frac{y+4}{-1+4} \\x=\frac{y+4}{3}[/tex]

Умножьте обе части уравнения на 3:

[tex]3x=y+4\\3x-4=y+4-4\\3x-4=y[/tex]

Thus, y<3x-4

A statement 'He is not the winner, then, he is sick.' is a valid argument.

To test the validity of a given argument, we need to see if we can find a counter-example that makes one of the statements non-valid. If after analyzing the statements we can't find a counter-argument, then we can conclude that the argument is valid.

Here we will find that the argument is valid.

We can write given statement as:

1) If he participates in a race then he is the winner.

2) Either he participates in the race, or he is sick.

3) He is not the winner, then, he is sick.

Now, from the first statement, we know that this person participates in a race, he wins.

From the second statement we know that he only participates if he is not sick, we can rewrite that one as:

"If he is sick, then he does not participate in the race".

Finally, from the third one, if he does not win, then he is sick.

This makes sense, he only does not participate when he is sick, then the only races where he is not the winner, are these races where he does not participate, and he does not participate only if he is sick, then this is a valid argument.

Concluding, the 3 statements are valid, as we can't find any counter-argument to any of these 3.

Therefore, a statement 'He is not the winner, then, he is sick.' is a valid argument.

Learn more about an argument here:

https://brainly.com/question/2142857

#SPJ4

Answer:

eight is the answer

Step-by-step explanation:

........

Isabel can drive  510.875 miles with a gas tank that holds 15.1 gallons of gas.

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find the Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.25 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

1 × x = 15.25 × 33.5

x = 510.875

Thus, Isabel can drive 510.875 miles on a full tank of gas

Learn more about Tank of gas at :

https://brainly.com/question/6814529

#SPJ1

Answer:

A dilation proportionally stretches or compresses an object based on a given scale factor.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.

Two lines that lie parallel to each other will have a slope (m) that is of the same value. The equation can be written as y = mx + b in slope-intercept form.

Find the slope of the line that passes through (4, 5) and (3, 2):

Slope (m) = change in y / change in x = (5 - 2)/(4 - 3)

Slope (m) = 3/1

Slope (m) = 3

The slope of a parallel line would also be 3.

Substitute (a, b) = (2, -3) and m = 3 into y - b = m(x - a):

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

y + 3 = 3x - 6

Subtract 3 to both sides of the equation

y + 3 - 3 = 3x - 6 - 3

y = 3x - 6 - 3

y = 3x - 9

Therefore, the equation for the parallel street that passes through (2, -3) is: B. y = 3x - 9.

Learn more about the equation of parallel lines on:

https://brainly.com/question/11345748

#SPJ1

We must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.

To find the amount:

Given -

Estimate the initial deposit required to obtain $10,000 in 6 years:

Therefore, we must deposit (B) $6,301.70 today to withdraw $10,000 in 6 years.

Know more about compound interest here:

https://brainly.com/question/24924853

#SPJ4

The correct question is given below;
You can earn 8 percent interest, compounded annually. How much must you deposit today to withdraw $10,000 in 6 years?

A. $5,402.69

B. $6,301.70

C. $6,756.76

D. $8,432.10

E. $9,259.26

The distributive property is the property that justifies the statement.

The properties of multiplication are:

For the question, the number 3 was multiplied each term, then

3x - 3*2/3 = 4

3x - 6/3 = 4

3x - 2 = 4

Comparing the steps and results found, it is possible to note that the distributive property for multiplication was applied.

Read more about the distributive property  here:

brainly.com/question/4077386

#SPJ1

The fraction of those who were cast and got major roles is 1/5.

The number of the students who were cast out of the Ninety students auditioned  for the school play is calculated as follows;

Total number of students = 90

Number of students who were cast = ¹/₃ x 90 = 30

Number of students who go major role = 6

The fraction of those who were cast and got major roles is calculated as follows;

fraction of students who got major role = 6/30

fraction of students who got major role =  1/5

Thus, the fraction of those who were cast and got major roles is 1/5.

Learn more about fraction here: https://brainly.com/question/17220365

#SPJ1

Answer:

Total number of students = 90

Number of students who were cast = ¹/₃ x 90 = 30

Number of students who go major role = 6

fraction of students who got major role = 6/30

fraction of students who got major role = 1/5

1/5 = 0.2

We get the value of angle Q in the triangle PQR as 155 °.

We are given a triangle PQR.

We are also given that:

∠ P = 110 °

∠ R = 15 °

Now, we need to find ∠ Q.

We know that sum of the angles of a triangle = 180 °

This is called the angle sum property of a triangle.

So, we get that:

∠ P + ∠ Q + ∠ R = 180 °

Substituting the given values, we get that:

110 ° + ∠ Q + 15 ° = 180 °

125 ° + ∠ Q = 180 °

∠ Q = 180 ° - 125 °

∠ Q = 155 °

Therefore, we get the value of angle Q in the triangle PQR as 155 °.

Learn more about triangles here:

https://brainly.com/question/17335144

#SPJ9

Step-by-step explanation:

1500÷75= 20

30×20= 600 seconds

600÷60= 10 minutes

Answer: The answer is b

Step-by-step explanation:  Simplify and expand it to determine it

Using the midpoint concept, the other endpoint of the segment is: G(18,-9).

The problem asks for the coordinates of the other endpoint, given by point G.

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence the x-coordinate of G is found as follows:

8 = (x - 2)/2

x - 2 = 16

x = 18.

The y-coordinate of G is found as follows:

0 = (y + 9)/2

y + 9 = 0

y = -9.

The other endpoint of the segment is: G(18,-9).

More can be learned about the midpoint concept at https://brainly.com/question/28034729

#SPJ1

Answer:

0.125

Step-by-step explanation:

Answer: The answer is likely E/i

Step-by-step explanation:

1. Based by guesses here, multiply R on both sides, making it RI = E

2. Then, divide I on both sides, so RI/I = E/I

3. Becoming R = E/I

Answer:

Greater than.

Step-by-step explanation:

3 - 1 = 2, 2 is greater than 1/4 which is equal to 0.25.

The complete compound inequality is 9 <= 1.5x <= 12

From the given figure, we have'

Height = x

Base = 3

The area of a triangle is

Area = 0.5 * Base * Height

So, we have

A = 0.5 * 3 * x

Evaluate

A = 1.5x

The compound inequality is given as

9 <= A <= 12

Substitute A = 1.5x in 9 <= A <= 12

9 <= 1.5x <= 12

Hence, the complete compound inequality is 9 <= 1.5x <= 12

Read more about inequality at

https://brainly.com/question/24372553

#SPJ1

Answer:

10

Step-by-step explanation:

so just round to the ones below or above 5

Answer:

this number falls between 11 and 12

Step-by-step explanation:

11 Squared is 121 and 12 squared is 144.  131 is between these numbers.  It is closer to 11