there is 1/3 of an apple pie left after the bake sale. Four people would like to share it equally. what portion of the original pie will each person get?

The required value of x is 12.5 when y = 87.5

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

300x + 500/7y = 10,000

Now for the value of x put the value of y which is 87.5 in the given equation we get,

300x + 500/(7*87.5) = 10,000

Solving we get,

300x + 500/612.5 = 10,000

Simplifying the fraction we get,

300x + 43,750/7 = 10,000

Dividing the fraction we get

300x + 6,250 = 10,000

Subtract 6,250 from both sides

300x + 6,250 - 6,250 = 10,000 - 6,250

Solving we get,

300x = 3,750

Divide both sides by 300

x = 3,750/300

Solving we get

x = 12.5

this is the required value of x when y = 87.5

Thus, the required value of x is 12.5 when y= 87.5

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The correct question is attached.

Answer: no

Step-by-step explanation: hope this helps

Given that  F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.the line integral ∫F.dr = 355¹/₃ units

Line integrals are integrals evaluated along a curve. It is given by I = ∫F.dr

where dr = dxi + dyj

Given that F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.

So, we need to find the line integral ∫F.dr

Since

So, ∫F.dr = ∫[(7xy)i + (2y²)j.(dxi + dyj)] = ∫(7xydx + 2y²dy)

We integrate y from 0 to 8 and x from 0 to 1 and susbstitute y = 8x² into the equation. So, we have

∫F.dr = ∫(7xydx + ∫2y²dy)

= ∫(7x(8x²)dx + ∫2y²dy)

= ∫56x³dx + ∫2y²dy

= 56∫₀¹x³dx + 2∫₀⁸y²dy

= 56[x⁴/4]₀¹ + 2[y³/3]₀⁸

= 56[1⁴/4 - 0⁴/4] + 2[8³/3 - 0³/3]

= 56[1/4 - 0] + 2[512/3 - 0]

= 56[1/4} + 2[512/3]

= 14 + 1024/3

= (42 + 1024)/3

= 1066/3

= 355¹/₃ units

So, given that  F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.the line integral ∫F.dr = 355¹/₃ units

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Answer:

96 people

Step-by-step explanation:

Per 5 students 1 adult goes:

80÷5=16

So, 16 adults went.

Total number of Students and Adults combined=The number of people that went on the trip:

80+16=96

The length of rectangle is 25 feet and the width  of rectangle is 135 feet.

The perimeter of a rectangle  can be calculated by making use of the formular that will be written below which is

P = 2(l + b)

But if we are to interpret the question, then we will have

2(L + W) = 320 after the simplification

and from the above simplification , we will have

L+ W=160

But according to the question, Odd integers that follow each other with a difference of 2, hence we will have  x  as the  odd integer, then  go in a  consecutive odd integers manner we will have

W = 5(x+2)

Then if we substitute, we have

[x+5x+10=160]

Then simplify we have

6x=150

x=25

Then input x into the width equation, then, width will be  135 feet.

Therefore, The length of rectangle is 25 feet and the width  of rectangle is 135 feet.

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The inequality will be:

6.2 + v ≥ -4.7

And it can solved to get:

v ≥ -10.9

Here we have the mathematical sentence:

"The sum of a number v and 6.2 is at least -4.7"

The sum is written as:

6.2 + v

And that is equal to or more than -4.7, then we need to use the symbol ≥, with that, we can write the inequality:

6.2 + v ≥ -4.7

Solving that four our number v, we get:

v  ≥ -4.7 - 6.2

v ≥ -10.9

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Answer:

Step-by-step explanation:

Greetings !

The union of two sets is a set containing all elements that are in A or in B (possibly both). For example, {1,2}∪{2,3}={1,2,3}. Thus, we can write x∈(A∪B) if and only if (x∈A) or (x∈B). Note that A∪B=B∪A.

Hope it helps!!

The total ticket were sold this year is 39  tickets.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The circle graph shows last year's ticket sales with a total of 842 tickets.

Adults =4%

Students =17%

Children Under 12 =55%

Seniors =24%

This year 22 more tickets were sold to seniors.

According to given question we have

Ticket sold to the senior

=24% *842

= 202.08  tickets.

Tickets were sold this year

= 202.08/12  tickets.

=16.84  tickets.

This year 22 more tickets were sold to  seniors

=16.84  tickets+22 tickets

=38.84 ≈39  tickets

Therefore, the total ticket were sold this year is 39  tickets.

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Answer:

Step-by-step explanation:

The number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.

It should be noted based on the information, the value of P will be:

= P(x is an odd, positive integer and x < 20}

P = (1, 3, 5, ,7, 9, 11, 13, 15, 17, and 19)

Therefore, it should be noted that there are 10 numbers.

Therefore, the number of subsets will be:

= 2^n - 1

= 2^10 - 1

= 1023

Therefore, the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.

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Determine the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20}.

The projected weight overstated is 86.92 lbs.

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics.

Given:

Baggage weight projected was 2,182 1/4 lbs = 2182.25 lbs

The actual weight is 2,095 1/3 lbs = 2095.33 lbs

So, the overstated weight is

=2182.25 -  2095.33

=86.92 lbs

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Answer:

Prime Factors of 545 are 5, 109, and usually expressed as 5 x 109. 4.

hope this is right! :) -liaa

The order of the magnitude of the given number is a 5.

According to the statement

We have to find that the order of the magnitude.

So, For this purpose, we know that the

An order of magnitude is an exponential change of plus or minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 scientific notation.

From the given information:

The number are 1.25 x 105

To find the order firstly solve it then

1.25 x 105

1.25 x 105 = 131.25

And in this according to the definition of the order of the magnitude:

The order is of the 5 numbers.

So, The order of the magnitude of the given number is a 5.

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Finding m∠2 is c. 44°.

First step is to find the Measure of angle 1 which is m∠1

Measure of angle 1 = (68° + 68°) or (68°×2)

Measure of angle 1 = 136°

Second step is to find  m∠2

Since we have find the measure of angle 1 in order for us to find or determine m∠2 we would have to deduct or subtract m∠1 from 180°

Now let find m∠2

m∠1 = 136°

m∠1 + m∠2 = 180°

136° + m∠2 = 180°

m∠2 = 180° - 136°

m∠2 = 44°

Therefore finding m∠2 is c. 44°.

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The volume of a cone with a height of 6 cm and a radius of 4 cm is:

V =  100.5 cm³

If the volume of a cone varies jointly as its height, and the square of its radius, then we can write the equation:

V = R²*H*k

Where:

R = radius

H = height

k = constant of the variation.

Here we know that if R = 2cm and H = 8cm, the volume is 33.5 cm³, then we can replace that to get:

33.5 cm³ = (2cm)²*8cm*k

The value of k is:

(33.5 cm³)/(  (2cm)²*8cm ) = k = 1.046875

Then the formula for the volume is:

V = R²*H*1.046875

Now if the radius is 4cm and the height is 6cm, the volume will be:

V = (4cm)²*(6cm)*1.046875 = 100.5 cm³

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1. The child's height after age 6 is a linear function of his age because it grows at a constant rate annually.

2. The child's growth rate is 5% with an initial value of 40 inches.

3. A linear function that represents the scenario is , H(t) = 40 + 2t.

A linear function is a mathematical expression with variables multiplied by constants appearing in the first degree.

The mathematical operations involved in a linear function are addition and subtraction.

A linear function represents a straight line on the coordinate plane.

Initial height at age 6 = 40 inches

The annual growth rate in inches = 2 inches

Growth rate in percentage = 5% (2/40 x 100)

H(t) = 40 + 2t

Where t = years after age 6

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Using t for the time in years since age 6 and H for height in inches, find a formula for H as a linear function of t.

The answer is 17/48

If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

based on the given conditions , formulates

1×(325-240)÷240

calculate the sum or difference 85/240

cross out the common factor 17/48

so therefore the answer will be 17/48

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Answer:   Maricella has a bag containing 35 nickels and quarters. The ...

Jun 11, 2018

Bag of Nickles and Quarters | Wyzant Ask An Expert

Step-by-step explanation:

The two numbers are 20 and 40

Let n represent the unknown

Next is to find the the products of both numbers

n × 2n= 800

2n²= 800

n²= 800/2

n²= 400

n= √400

n= 20

The first number is 20

The second number 2(20)= 40

Hence the two number are 20 and 40

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The quadratic equation is y = x^2 - x - 6

The given parameters are

x-intercepts: x=-1 and x=3

Rewrite properly as

x1 = -2 and x2 = 3

By zero product property, the quadratic equation is

y = (x - x1) * (x - x1)

This gives

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

Expand

y = x^2 + 2x - 3x - 6

Evaluate the difference

y = x^2 - x - 6

Hence, the quadratic equation is y = x^2 - x - 6

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Answer:

$567.88

Step-by-step explanation:

Start with the beginning balance.

Add all the mounts of checks and subtract the total from the beginning balance.

Add the amount of the deposit to the balance.

Beginning balance: $887.43

Withdraw: $435, $58.27, $127.96

Total withdrawals:  $435 + $58.27 + $127.96 = $621.23

Deposit: $301.68

Final balance = beginning balance - total of checks + amount of deposit

Final balance: $887.43 - $621.23 + $301.68 = $567.88

Answer: $567.88

Answer:

(6, -31)

Step-by-step explanation:

Answer:

I think (6, -31)

The photograph is 6 inches wide and 15 inches long.

x best represent the width of the rectangle and x + 12 best represents the length of the rectangle.

The length of the rectangle is 12 inches more than it width.

The width of the rectangle can be found as follows:

The perimeter of the rectangle is 42 inches.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Hence,

perimeter of a rectangle = 2(l + w)

The length of the rectangle is 12 inches more than it width.

Therefore,

let

x = width

Hence,

length = 12 + x

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The equation of a line perpendicular to y = x that passes through the point (8,2) is y = -x + 10

The equation of the line is given as

y = x

Rewrite the equation as

y = x

A linear equation is represented as

y = mx + c

Where

Slope = m

So, we have

m = 1

The slopes of perpendicular lines are opposite reciprocals

This means that

m2 = -1/m1

So, we have

m = -1/1

Evaluate

m = -1

The equation of the perpendicular line is then calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (8, 2)

This gives

y = -1(x - 8) + 2

Evaluate

y = -x + 8 + 2

Evaluate the sum and the difference

y = -x + 10

So, the equation of a line perpendicular to y = x that passes through the point (8,2) is y = -x + 10

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Answer:

2.29x8=18.32

20 an hour because 160÷8=20

31.16 more than part a+b

Step-by-step explanation:

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