A farm let’s u pick 3 pints of raspberries for $12
1) what is the cost per pint
2) how many pints do you get per dollar
3) at this rate, how many pints can you afford for $20.00
4) at this rate, how much will 8 pints of raspberries cost?

The circumference of ΔAOC, ΔAOB and ΔABC are  4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.

The perimeter of a triangle can be calculated by simply adding the length of all the sides.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

There are three triangle in the given diagram namely ΔAOC, ΔAOB and ΔABC.

We will find the area and circumference of each of the triangle.

First we find area of each triangle.

Area of ΔAOC = 1/2*CO*AO = 1/2*4*4 = 8 square units.

Area of ΔAOB = 1/2*BO*AO = 1/2*2*4 = 4 square units.

Area of ΔABC = 1/2*BC*AO = 1/2*6*4 = 12 square units.

Now, we will find circumference of each triangle.

Since,  ΔAOC, ΔAOB are right angled triangle

⇒    AC = [tex]\sqrt{AO^{2}+OC^{2} }[/tex] = [tex]\sqrt{4^{2}+(-4)^{2} }[/tex] = [tex]\sqrt{32}[/tex] = 4√2 units.

and AB = [tex]\sqrt{AO^{2}+OB^{2} }[/tex] = [tex]\sqrt{4^{2}+2^{2} }[/tex] = [tex]\sqrt{20}[/tex] =2√5 units.

Circumference of ΔAOC = AC+CO+AO = 4√2+4+4 =4√2+8 = 4√2(1+√2) units.

Circumference of ΔAOB = AB+BO+AO = 2√5+2+4 =2√5+6=  2(√5+3)units.

Circumference of ΔABC = AB+BC+AC = 2√5+6+4√2 = 2(3+√5+2√2)units.

Therefore, circumference of ΔAOC, ΔAOB and ΔABC are  4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.

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The period used = 4 years, Rate used = 6%, the PV factor used = 0.792, and the PV of the amount desired at end of the period = $7049.63.

According to the given question, the required solution would be as:

The period used = 4 years,

Rate Used = 6%

We know that,

PV factor = 1/(1+r)ⁿ

Here r = 6% = 6/100 = 0.06, and n = 4

PV factor = 1/(1+0.06)⁴

PV factor = 1/(1.06)⁴

PV factor = 0.792

PV of the amount desired at end of the period = FV/(1+r)ⁿ

Here FV = $8,900.00

PV of the amount desired at end of the period = 8,900.00/(1+0.06)⁴

PV of the amount desired at end of the period = 8,900.00/(1.06)⁴

PV of the amount desired at end of the period = $7049.63

Thus, the period used = 4 years, Rate used = 6%, the PV factor used = 0.792, and the PV of the amount desired at end of the period = $7049.63.

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The cost for 1 hot dog is $2.25  and the cost for 1 bag of potato chips is  $1.5   .

In the question ,

it is given that ,

a vendor is selling  hot dogs and bags of potato chips ,

the customer bought 5 hot dogs and 4 bags of potato chips for $17.25

let the cost of 1 hot dog = h    and

let the cost of 1 bag of potato chips = p

So , the equation is 5h + 4p = 17.25

and another customer buys , 2 hot dogs and 2 bags of chips

So , the equation is , 2h + 2p = 7.50

2p = 7.50 - 2h

and 4p = 15 - 4h

Substituting 4p = 15 - 4h in the equation 5h + 4p = 17.25 , we get

5h + 15 - 4h = 17.25

h + 15 = 17.25

h = 17.25 - 15

h = 2.25

and 4p = 15 - 4h

4p = 15 - 4(2.25)

4p = 15 - 9

4p = 6

p = 6/4

p = 1.5

Therefore , The cost for 1 hot dog is $2.25  and the cost for 1 bag of potato chips is  $1.5   .

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Answer: the answer  is D i just did that

Step-by-step explanation:

The match of the equation are listed below:

A. y = 1.5x => (14,21) ,(2,3), (8, 12)

B. 2x + 3y = 7 => (1, 1 2/3), (-1, 3), (0, 2 1/3)

C. x - y = 4 => (-3, -7), (0, -4), (-1, -5)

D. 3x = y/2 => (0.5, 3), (1, 6), (1.2, 7.2)

E. y = - x + 1 => (1/2, 1/2), (1/4, 3/4), (1/8, 7/8)

Equation:

Equation refers the statement that the values of two mathematical expressions are equal and indicated by the equal sign.

Given,

Here we have list of equation and the matching solutions also.

Now, we need to find the correct pairs from it.

In order to find the correct matching pair, in each solution we have to take one point and apply it on the given equation, then we get,

Then when we take the point (14,21)

Apply it on the equations, then we get,

A. 21 = 1.5(14)

=> 21 = 21

Now, we have to take the second one (-3, -7)

And apply it on the equations,

B . 2(-3) + 3(-7) = 7

=> -6 - 21 = 7

=> -27 ≠ 7

C. -3 - (-7) = 4

=> -3 + 7 = 4

=> 4 = 4

Then the third point (1/2, 1/2), the apply the equation,

B. 2(1/2) + 3(1/2) = 7

=> 1 + 3/2 = 7

=> 5/2 ≠ 7.

D. 3(1/2) = (1/2)/2

=> 3/2 ≠ 1

E. y = -x + 1

=> 1/2 = -1/2 + 1

=> 1/2 = 1/2

Now, we have to take the point (-1, 3)

B. 2(-1) + 3(3) = 7

=> -2 + 9 = 7

=> 7 = 7

Then the remaining match with the final one.

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Answer:

Three people have phones and use social media

Step-by-step explanation:

1/5 of 30 is 6

1/2 of 6 is 3

Step-by-step explanation:

3410 students were surveyed. It was found that the ratio of full-time students to part-time students was 7:4 How many full-time students were there? How many part-time students were there?

7 + 4 = 11

3,410/11 = 310

full time: 310 * 7 = 2,170

part time: 310 * 4 = 1,240

After the subtraction, the simplified value is 16 hours : 9 minutes : 22 seconds

Subtraction

Subtraction means the process of finding the difference between two or more numbers.

Given,

Here we have the timings.

9h 24min 13s

-6h 45min 9s

Now, we have to perform the subtraction on it and also write it in the simplified form.

In order to perform the subtraction, we have to convert the given timings into decimal form, then we get,

=> 9h 24min 13s = 9.4036

Similarly, the second one is converted as decimal form, like

=> - 6h 45min 9s = -6.7525

Now, we have to perform the subtraction on it,

=> 9.4036 - (-6.7525)

=> 16.1561

Now, we have to convert this into time format, then we get,

=> 16 hours : 9 minutes : 22 seconds

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Answer:

Tano=x

Step-by-step explanation:

First, let's call sin(tan−1(x))=sin(θ) where the angle θ=tan−1(x) . More specifically, tan−1(x)=θ is the angle when tan(θ)=x

The component  describes a country of capitalism is All economic decisions made by government.

According to a common understanding, capitalism is an economic system in which individual actors own and control property according to their interests and where supply and demand freely set market prices in a way that benefits society. The fundamental quality of capitalism is the desire to make a profit.

Capital, which developed from capitale, a late Latin term based on caput, meaning "head," is where the word "capitalism" originates. Chattel and cattle, both of which allude to moveable property, also have their roots in capital (only much later to refer only to livestock).

A capitalist economy allows for the private ownership and control of capital assets like mines, railroads, and factories. It also allows for the purchase of labor for monetary wages, the accrual of capital gains to private owners, and the allocation of prices.

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Number which is greater than 320 and starts at 324 and count by multiple of 10 and have same number of tens and ones is given by 344.

As given in the number,

Condition for required number is given as follow:

Start at 324 and count by multiple of 10 are:

324 →334 but in this case tens is 3 and ones is 4 , so it is not a valid number.

324 → 334 →344

This number satisfy all the condition of required number.

It is a valid number.

Therefore, number which is greater than 320 and starts at 324 and count by multiple of 10 and have same number of tens and ones is given by 344.

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Answer:

See below

Step-by-step explanation:

Pick two convenient integer coordinat e points to calculate the slope

(-1,1) AND  (1,0)

Slope = (y1-y2) / (x1-x2) = (1-0)/(-1-1) = -1/2

Slope-yaxis intercept form   y = mx + b

     y = -1/2 x +b    sub in either of the points to calculate  b = 1/2

y = -1/2 x   + 1/2    Done.

If Giuseppe’s buys supplies to make pizzas for $4. Operating expenses of the business are 110% of the cost and the profit made is 130% of cost. the regular selling price of each pizza is: $13.60.

Using this formula to find the regular selling price

Regular selling price = Cost price × (Operating expenses + Profit +1)

Where:

Cost price =$4

Operating expenses = 110% or 1.1

Profit = 130% or 1.3

Let plug in the formula

Regular selling price =$4 × (1.1 +1.3 +1)

Regular selling price  =$4 × 3.4

Regular selling price  = $13.60

Therefore the regular selling price is $13.60.

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The completion of the chart showing the hourly pay, gross pay, and hours worked by four JA Company employees, including the total wages for the week is as follows:

Employee       Hourly Pay  Hours Worked  Gross Pay

Jalen Smith         $9.25              40                $370.00

Kiara Grays         $9.45              32                $302.40

Tatiana Michel    $9.75              42               $429.00

Kisha Sil              $9.50              36               $342.00

Total wages                                                 $1,443.40

The gross pay for each employee is the product of the hourly pay and the hours worked.

For the employee, who worked 42 hours, the overtime pay is calculated at the double the regular hourly rate, which can also be described as double time.

The total wages are the addition of each employee's gross pay for the week.

Employee       Hourly Pay  Hours Worked  Gross Pay

Jalen Smith         $9.25              40              $370.00 ($9.25 x 40)

Kiara Grays         $9.45              32              $302.40 ($9.45 x 32)

Tatiana Michel    $9.75              42              $429.00 ($9.75 x 40 + (2 x 2 x $9.75)

Kisha Sil              $9.50              36              $342.00 ($9.50 x 36)

Total wages                                                $1,443.40

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Mean uses [tex]\frac{17}{18}[/tex] inches of chalk

What is algebra ?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

She used [tex]\frac{1}{3}[/tex] of a piece of chalk that was originally [tex]2\frac{5}{6}[/tex]  inches long.

Now, we have to find how many inches of chalk did she use

= 1/3 × 2 5/6

= 1/3 × 17/6

= 17/18 inches.

Hence, Mean uses 17/18 inches of chalk.

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The annual percentage yield (APY) of Rocio is 3.11 %

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

Given data ,

Deposit amount of Russ = $ 3200

Interest rate R = 3.1 %

And it is given that the interest rate is compounded daily , so

Interest rate R = 3.1 % / 365

                       = 0.031 / 365

                       = 0.000084

Now , The annual percentage yield (APY) is calculated as

The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵

                                 = 3200 x ( 1.000084 )³⁶⁵

                                 = 3200 x 1.031133

                                 = 3299.6272

                                 ≈ 3299.627

Therefore , the interest will be

= 3299.627 - 3200

= $ 99.627

Now , the annual percentage yield (APY) is given by

= Interest / Deposit

= 99.627 / 3200

= 0.03113

≈ 3.11 %

Hence , annual percentage yield (APY) of Rocio is 3.11 %

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Step-by-step explanation:

These two angles are vertical angles so they are equal to each other

[tex]13x - 26 = 9x + 30[/tex]

[tex]4x = 56[/tex]

[tex]x = 14[/tex]

So

[tex]9(14) + 30 = 156[/tex]

[tex]13(14) - 26 = 156[/tex]

Answer:

Independent and dependent

Step-by-step explanation:

68.50 would stand as the independent as x could stand for anything such as months or days. 127.95 acts like a static number as it will never change regardless.

777.6 cubic ft is the volume of the shed that Lorie ordered to hold her gardening supplies.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is the width, h is height and l is length

Given the data in the question;

To determine the volume of the shed, plug the given values into the above formula and simplify.

V = w × h × l

V = 12 ft × 3 1/5 ft × 20.25 ft

V = 12 ft × 3.2 ft × 20.25 ft

V = 12 ft × 64.8 ft²

V = 777.6 ft³

Therefore, the volume of the shed is 777.6 ft³.

Option B is the correct answer.

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1) In first circle radius is 3yard and diameter is 6 yard

2) In second circle radius is 46 inch and diameter is 92 inch

3)In third circle radius is 23 ft and diameter is 46ft

What's the radius solution?

The radius formula is easily obtained by halving the circle's diameter. The line segment created when we join a point on a circle's circumference to its exact center is referred to as the ring's radius. The radius of a circle is the separation between its center and circumference.

What is diameter, for instance?

If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to the diameter of a circle, which is the line segment that extends from one end of the circle to the other end while passing through the center of the circle.

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The angle θ = 170° and  θ = 350°  have the same Sine and Cosine as 10° respectively

Since the Sine and Cosine of angle 10° are positive

In order to find an angle θ with 0° < θ < 360° that has the same Sine and

Cosine as 10°, we have to check the quadrants in Trigonometry where Sine and Cosine are positive

1st quadrant (0° - 90°) => Sine is positive (10° is here)

2nd quadrant (91° - 180°) => Sine is positive

3rd quadrant (181° - 270°) => None is postive

4th quadrant (271° - 360°) => Cosine is positive

We will consider the 2nd and 4th quadrants:

2nd quadrant: Sine 10° = Sine (180 - 10)° = Sine 170°

4th quadrant: Cosine 10° = Cosine (360 - 10)° = Cosine 350°

Therefore, θ = 170 degrees and  θ = 350 degrees have the same Sine and Cosine as 10° respectively

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Answer: $54,742.75

Step-by-step explanation:

Each year you need to multiply the employee's current salary by 4% (in decimal form this is 0.04). Then you add the result to their current salary.

Year 1

40000 * 0.04 = 1600

40000 + 1600 = 41600

Year 2

41600 * 0.04 = 1664

41600+ 1664 = 43264

Year 3

43264 * 0.04 = 1730.56

43264+ 1730.56 = 44994.56

Year 4

44994.56 * 0.04 = 1799.78

44994.56+ 1799.78 = 46794.34

Year 5

46794.34 * 0.04 = 1871.77

46794.34+ 1871.77 = 48666.11

Year 6

48666.11 * 0.04 = 1946.64

48666.11+ 1946.64 = 50612.75

Year 7

50612.75 * 0.04 = 2024.51

50612.75+ 2024.51 = 52637.26

Year 8

52637.26 * 0.04 = 2105.49

52637.26+ 2105.49 = 54742.75

Answer:

Step-by-step explanation:

hours of sleep, with a standard deviation of1.93hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.

(a)What is the probability that a visually impaired student gets less than6.2hours of sleep?

answer:

(b)What is the probability that a visually impaired student gets between6.8and10.93hours of sleep?

answer:

(c)Thirty percent of students get less than how many hours of sleep on a typical day?

answer:

hours

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

For the first point, we would have 9=3k;

So we have k=9/3.

For the second point, we would have 13=4k;

this would mean that k=13/4.

And for 3rd point, we would have 23 =7k;

Checking using proportions shows us that 11/7 does not equal 13/4:

cross multiply.

Since this is untrue, k is not a constant and y does not change in direct proportion to x.

Hence the equation of the for the different points are determined.

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In the process of completing the square method the value of c in the equation x^2 + 3x + c = 7/4 + c is calculated to be

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is one of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem x^2 + 3x + c = 7/4 + c it is

(b / 2a)^2 = (3 / 2)^2

= 9/4

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1584 hands(combination) contains two 3s and two 5s.

The query serves as an example of combination (also known as selections).

Two 3s are to be selected from 4 = 4C2

                                                        = 6

Two 5s are to be selected from 4 = 4C2

                                                        = 6

No. of cards in standard deck = 52

No. of remaining cards = 52 - 4 - 4

                            = 44

No. of remaining cards to be selected = 5 - 2 - 2

                                                                = 1

No. of last selection = 44C1

                                 = 44

Total selection = 44 * 6 * 6

                        = 1584

Hence, total hands is 1584.

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Answer:

(0,2)

(3,0)

Step-by-step explanation:

The number of months that it would take for the price of the gallon to get to 1.90 dollars is 20 months.

We have the following details with which we are to solve this problem.

The price of gas is given as $1.79

The rate of increase is given as 0.3% = 0.003

We are to find the value for when it would be $1.90

The formula that would be used to solve this is given as

[tex]F = P * (1 + r)^n[/tex]

Where f = final value

p = present value

r = rate

n = number of months

From the question

f = 1.90

p = 1.79

r = 0.03

we have to put these values in the formula that we have here

[tex]1.9 = 1.79 * (1 + 0.03)^n[/tex]

[tex]1.9 = 1.79 * (1.003)^n[/tex]

Divide through by 1.79

[tex]\frac{1.9}{1.79} = (1.003)^n[/tex]

take the ln of both sides

[tex]ln\frac{1.9}{1.79} = nln(1.003)[/tex]

We have to simplify the equation above from this stage

ln1.0615 = n0.002995

0.05968 = n0.002995

divide through by the value of n

n = 0.05968 / 0.002995

n = 19.92

n ~ 20

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The total costs for the first year, $690 , the second year $560, the third year $442, and all the years $1692 in dollars and cents

Depreciation cost for the first year:

Depreciation = $15,000 × 0.046

Depreciation = $690

Depreciation cost for the second year:

Depreciation= $14,000 × 0.04

Depreciation = $560

Depreciation cost for the third year:

Depreciation= $13,000 × 0.034

Depreciation= $442

Total depreciation:

Total depreciation =$690 + $560 + $442

Total depreciation = $1,692.

Therefore the total depreciation is $1,692

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