The following three shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each shaded part. give your answer as a completely simplified exact value in terms of π (no approximations).

When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.

The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply put, the unit technique is used to extract a single unit value from a multiple that is supplied. This procedure could follow a regular procedure. a single nation. anything has a distinct identity.

given

A standard shared labor equation can be employed because time varies inversely with the number of persons (i.e., the more people, the less time).

Let the finished task equal 1 and let a = the amount of time needed by the other person alone.

Each person will contribute a portion of the work, and the two fractions together equal one.

When the denominators are removed by multiplying through by 21a,

the answer is 12a + 21(12) = 21a 252

= 21a - 12a 252 = 9a a = 252/9 a

When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.

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The total cost of squash needed for the 50 people is £10

Jill makes orange juice for 50 people. Each person would need 2 full glasses, hence:

Total glasses of juice = 50 people * 2 glasses per person = 100 glasses

Each glass is 250 milliliters, hence:

Total volume of juice = 100 glasses * 250 ml per glass = 25000 ml

1000ml = 1l

25000 ml = 25000 ml * 1l per 1000ml = 25 liters

1 part of orange squash is mixed with 4 part of water, hence:

Amount of squash = (1/5) * 25 liters = 5 liters

1 liter of squash cost £2

5 liters = 5 liters * £2 per liter = £10

The total cost of squash is £10

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The closing price on the last trading day of the month cannot be $3.00, $9.00, $19.00, $24.00, or $29.00 since the percentage change in the closing price from the first trading day is less than 50%.

The percent change in the closing price of Stock X from the first trading day to the second trading day is:

Percent Change

= ($10.00 - First Trading Day Closing Price) / First Trading Day Closing Price

Since the percent change is less than 50%, the First Trading Day Closing Price must be greater than $20.00. Therefore, the closing price on the last trading day cannot be $3.00, $9.00, $19.00, $24.00, or $29.00.

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Answer:ok sorry if this don't help pls come find me

Step-by-step explanation: In many companies, especially small and medium, where there is a strive to establish any work process, it has been observed that testers are a little puzzled about how to start, progress and finish their testing job in a hurried manner.

The project or test manager always pressurize the test team to complete testing as soon as possible. With this pressure, somebody starts with a great methodical way but cannot complete the testing; somebody tries to be fast by short-cutting it, but cannot achieve quality. So, there is a problem in daily practice.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If the equation of a line is [tex]y=mx+b[/tex], the slope is [tex]m[/tex] and the [tex]y[/tex]-intercept is [tex]b[/tex].

Answer:

8.9

Step-by-step explanation:

Upper triangle:

hypotenuse = √(2² + 4²) = √20

Lower triangle:

Upper leg = √20

(√20)² + x² = 10²

x² = 80

x = √80 = 4√5

x ≈ 8.9

The fraction of the basketball team that are 6.14 feet is 2/5 of the 45 members

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

The number of members that are six feet tall or taller is 45

The number of members that 6.14 feet tall or taller is 18.

From the member of 6 feet tall or taller, the fraction of member that are 6.14 feet tall or taller is 18/45 = 6/15 = 2/5.

therefore 2/5 of the 6 ft tall or taller members are 6.14 feet tall or taller.

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Answer:

Step-by-step explanation:

Gallons, 1, 2

Quarts, 4, 8

Pints, 8, 16

Cups, 16, 32

Fluid ounces, 128, 256

Dude, it's conversation rates, you could have just looked up gallons to quarts etc.

Answer:

x > -3

Step-by-step explanation:

4 - 4x < 16

- 4x < 16 - 4

- 4x < 12 (note that both can be divided by -4)

x > -3

That's the final answer.

AND if you're co fused about why the sign changed, you should always remember this

By negative num I mean any number that starts with a minus for example -2, -3, -5, -100

Solving exponential Equations:

1. express both sides in terms of the same base

[tex](2^3)^y=(2^4)^y^+^2[/tex]

[tex]2^3^y=2^4^y^+^8[/tex]

2. Once they are the same base, equate the exponents

[tex]3y=4y+8[/tex]

3. isolate for a variable to solve

[tex]3y-3y=4y-3y+8[/tex]

[tex]0-8=y+8-8[/tex]

[tex]-8=y[/tex]

The first option where y = - 8 is correct.

Using the concept of proportionality to find the linear function, we can model it as y = 1/55 x

A mathematical function known as a linear function, when plotted, describes a straight line. It has the mathematical formula f(x) = mx + c, where m denotes the line's slope and c its y-intercept.

In this problem, we can represent the relationship between the number of miles Dave drives and the time he uses to cover that distance.

Since the number of miles he drove is given as y and the time he takes as x, we can represent this in a proportional relationship such that the proportionality constant will be used.

y = kx

55 miles = 1 hour

1 mile = x

x = 1 /55

This can be used as

y = 1/55 x

Where x is the time it takes to cover that distance

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Answer:   2 x 4

Reason:

There are 2 rows and 4 columns. The number of rows is listed first, followed by an "x", then the number of columns is listed.

The numbers that correctly complete the ratios if Pat drives 36 kilometers for every 3 liters of gas are 4 and 11.

A ratio is an expression commonly used in mathematics to show the relationship or proportion between two elements. For example, the proportion of cats to dogs might be expressed as 10:12, which means there are 10 dogs for every 12 cats.

The ratio given is 3 liters of gas to 36 kilometers, which means that to drive 36 kilometers 3 liters of gas are required. Let's simplify this expression:

36 / 3= 12. This means that for every liter you can drive 12 kilometers. Based on this let's find the new ratio:

48 kilometers / 12 = 4 liters of gas

132/ 12 = 11 liters of gas

This means that to drive 48 kilometers Pat needs 4 liters of gas and to drive 132 kilometers she needs 11 liters of gas.

Note: This question is incomplete and it has some errors; here is the complete correct question:

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The value of x in the inequality will be x ≥ 2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

5x^2 +3 ≥ 23

5x^2 ≥ 23 - 3

5x^2 ≥ 20

x^2 ≥ 20/5

x^2 ≥ 4

[tex]x \geq \sqrt{4}[/tex]

x ≥ 2

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Answer:

Below

Step-by-step explanation:

A vertical line is of the form   x = ....

For this question it would just be    x = 8    

   this line will go through ALL values of 'y'

Answer:

y = -2/3x - 18

Step-by-step explanation:

The equation can be rewritten in slope-intercept form by subtracting 9 from each side (to isolate y) and then multiplying both sides by 6/1 to clear the fraction. This gives us: y = -2/3x - 18, which is written in simplest form, using integers, proper fractions, and improper fractions. Hope this helps!

An expression that represents the distance that Reggie travels on the highway in h hours is Distance, D = 55h

An expression that represents Reggie's total distance from the

airport h hours after reaching the highway is Distance, D = 10 + 55h.

A distance is defined as an object's total movement without regard for direction. Distance is also defined as the amount of ground travelled by an object from its starting point to its final destination.

A distance can also be thought of as a scalar quantity, which means that the distance travelled by an object is independent of its motion direction. It is the entire path taken by an object. To calculate distance, we can use the formula below:

Distance[d] = Time[t] x Speed[s]

Displacement simply refers to a change in the position of a specific object. When an object moves from point A to point B, displacement occurs. Displacement is a vector quantity with both magnitude and direction.

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The numeric value of the expression in this problem is given as follows:

44.2.

The expression for this problem is defined as follows:

[tex]\pi \left(\frac{1}{\sqrt{2} - 1}\right)^2(\sqrt{2}+1)[/tex]

The first step is applying the square, which has higher precedence over multiplication.

For the square of a fraction, the square is applied to both the numerator and the denominator, and then the numerator is divided by the denominator, as follows:

[tex]\left(\frac{1}{\sqrt{2} - 1}\right)^2 = \frac{1^2}{(\sqrt{2}-1)^2} = \frac{1}{0.1716} = 5.83[/tex]

Then we have a multiplication of three terms, and the associative property states that the order of the factors do not change the product, hence:

π x 5.83 x (square root(2) + 1) = 44.2.

Which is the numeric value for the expression presented in this problem.

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Answer:

The answer is C x-8

Step-by-step explanation:

one x is just x raised to the negative 8 is -8 so it is x -8

The solution to the arithmetic progression is A = 94,188

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be represented as A

Now , the value of A is

Let the zeroth term of the series be a₀

when i = 0

∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312

a₀ = -312

Let the first term of the series be a₁

when i = 1

∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312

a₁ = 310

So , the common difference d of the series = first term - zeroth term = 2

The value of d = 2

The number of terms n = 500

Sum of n terms of the arithmetic sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]

On simplifying the equation , we get

A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]

A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]

A = -312 + ( 250 ) [ 378 ]

A = -312 + 94,500

A = 94,188

Hence , the sum of the arithmetic sequence is 94,188

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Answer:-1/4

Step-by-step explanation:First you know it’s negative because it’s going down from left or right. Second it’s 1/4 because when counting the lines it goes down 1 and to the right 4. So it’s -1/4

Answer:

12 friends can eat pizza

Step-by-step explanation:

if there are 4 slices in each pizza and there are 3 pizzas and 1 slice per person then 12 people will get 1 slice

4x3=12

35:20 and 28:20 are equivalent and proportional.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, 35:25 will be:

= 35 / 25

= 7 / 5

= 7:5

28:20 will be:

= 28 / 20

= 7/5

= 7:5

Therefore, they are equivalent and proportional.

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Answer: C 14h + 30 = 240

Step-by-step explanation:

He gets paid 14 dollars an hour at his job, but we do not know how many hours he has worked this week, so we use the variable, h. He also gets a bonus of 30 dollars each week. SO the equation should be 14h + 30= 240. You can also solve for h using this information: First subtract 30 from 240= 210, and then divide that by 14 and you get h= 15

The expression 25x²y²/xy in the simplest form is 25xy

From the question, we have the following parameters that can be used in our computation:

/25x2y2/xy

Express the exponents as proper superscript

So, we have

25x²y²/xy

Divide x²y² by x

So, we have the following representation

25x²y²/xy = 25xy²/y

Divide xy² by y

So, we have the following representation

25x²y²/xy = 25xy

The expression cannot be further simplified

Hence, the solution is 25xy

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The shaded region shows the possible set of solutions.

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is the inequality as -

y > -3x + 2

The inequality is -

y > -3x + 2

Refer to the graph attached. It shows the possible set of solutions under the shaded region.

Therefore, the shaded region shows the possible set of solutions.

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On solving the provided question we can say that  the value of the inequality equation will be -2(x + 6) > -4x => x<-1

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

The inequality equation is

-2(x + 6) > -4x

-2x -6 > -4x

-6x > 6

-x>1

x<-1

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The complete table showing the weight of Decker's object in pounds is;

Weight of Bode's object          Weight of Decker's object

20                                                         5

30                                                         6

60                                                         12

We are told that  Decker, can pick up objects that are 1/5 of the weight of the objects that Bode can pick up.

Thus;

If weight of Bode's object in pounds is 20 pounds, then the weight of Decker's object in pounds = 1/5 * 20 = 5 pounds

Similarly;

If weight of Bode's object in pounds is 30 pounds, then the weight of Decker's object in pounds = 1/5 * 30 = 6 pounds

Likewise;

If weight of Bode's object in pounds is 60 pounds, then the weight of Decker's object in pounds = 1/5 * 60 = 12 pounds

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