i need help with psrt A and part B and part c

Manny can make 4 bookmarks from 1/2 yard of fabric, each bookmark is made of 1/8 yard of fabric.

Manny has 1/2 yard of fabric, and each bookmark requires 1/8 of a yard of fabric. To find out how many bookmarks Manny can make, we need to divide the total amount of fabric by the amount of fabric used per bookmark:

1/2 ÷ 1/8

To divide by a fraction, we can flip the second fraction (the divisor) and multiply:

1/2 × 8/1

Multiplying the numerators and denominators gives:

(1 × 8) / (2 × 1) = 8/2

Simplifying the fraction by dividing both the numerator and denominator by the greatest common factor of 8 and 2, which is 2:

(8/2) ÷ (2/2) = 4/1

Therefore, Manny can make 4 bookmarks from 1/2 yard of fabric. This problem involves basic arithmetic operations such as division and multiplication of fractions. To solve it, we can flip the second fraction (1/8) and multiply it with the first fraction (1/2). This gives us the total number of bookmarks that can be made with the given amount of fabric. We then simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor.

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A binomial theorem calculator is an online tool that calculates the expansion of a binomial expression raised to a power

The binomial theorem, also known as the binomial expansion, describes the algebraic expansion of a binomial expression, which is a mathematical expression that consists of two terms. A binomial theorem calculator is an online tool or a software program that calculates the expansion of a binomial expression raised to a power. The binomial theorem calculator can quickly and easily perform this expansion for any given binomial expression and power.

For example, if we have the binomial expression (a + b) raised to the power of 3, the binomial theorem calculator will provide the expanded form:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

This expansion can be useful in many mathematical calculations and applications, such as probability theory, combinatorics, and algebraic equations.

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the population will be 2 678

The simplest way to calculate a square root is determined by the size of the number to be squared and your level of mathematical comfort. Here are some methods to consider:

Calculator: Using a calculator is the simplest way to calculate a square root. To find the square root of a number, most calculators have a square root function. Enter the number and then press the square root button.

Estimation: You can use estimation to find an approximate value for the square root of a number. To find the square root of a number, round it to the nearest perfect square (e.g. if you want to find the square root of 15, round it to 16). Then, calculate the square root of the perfect square (in this case, 4), and use that as an estimate.

Long Division: Long division is another method for determining the square root of a number. This method takes longer, but it can be used to calculate the exact value of the square root. Many guides and tutorials are available online to help you learn how to perform long division for square roots.

Using logarithms: A more advanced method for determining the square root of a number is to use logarithms. This method entails taking the number's logarithm, dividing it by 2, and then taking the antilogarithm of the result. This method is useful for calculating the square roots of very large numbers.

Otherwise, Vedic mathematics is a techniques which help in calculation of long and tricky problems or equations.

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The total amount of interest that the student paid for the unsubsidized Stafford loan with an interest rate of 6.8%, compounded monthly is,

⇒ $476.24.

Thus, The correct answer is Option C.

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, or other entities in finance.

Given that;

Borrowed money = $2,560

The fixed monthly payment = $84.34

Hence, The total amount that the student paid for 3 years after the grace period is,

= $84.34 × 3 × 12

= $3036.24

Thus, The amount of interest will be;

⇒ Total amount paid - Sum borrowed

Hence, We get;

Interest =  $ 3,036.24- $2,560

            = $ 476.24

Therefore, $476.24 is the total amount of interest the student paid.

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Answer:

Step-by-step explanation:

The probability that one randomly selected jelly bean is red is 15% or 0.15. Because another jelly bean of the same color is replaced after each selection, the probability of selecting a red jelly bean on any given selection remains constant at 0.15.

The probability of selecting three red jelly beans in a row can be calculated using the multiplication rule of probability. According to this rule, the probability of two independent events occurring together is the product of their individual probabilities.

Therefore, the probability of selecting three red jelly beans in a row is:

P(three red jelly beans in a row) = P(red) x P(red) x P(red)

= 0.15 x 0.15 x 0.15

= 0.003375 or 0.3375%

Therefore, the probability that three beans in a row are red is 0.3375%.

3.5 kg is approximately equal to 7.7162 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

3.5 kg =  3.5 × 2.20462

Multiply the numbers

= 7.7162 pounds  ( rounded to four decimal places )

Therefore, 3.5 kg is 7.7162 pounds

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Answer:

it would be -10x-15

Step-by-step explanation:

You're basically using distributive property

5(-2x-3)

5•-2x=-10x

5•-3=-15

-10x-15

It would stop there because you can't combine a number w/ a variable with a number without a variable, I hope that makes enough sense

The given table is studied and the probability for each case of the question is found as given below.

What is meant by probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

1) Earning 10000 - 13000 per month and owning exactly 2 vehicles.

Number of families surveyed = 2400

Number of families earning  10000 - 13000 per month and owning exactly 2 vehicles = 29

Therefore required probability = 29/2400 = 0.0121

2)  Earning 16000 or more per month and owning exactly 1 vehicle.

Number of families surveyed = 2400

Number of families earning 16000 or more per month and owning exactly 1 vehicle  = 579

Therefore required probability = 579/2400 = 0.241

3) Earning less than 7000 per month and does not own any vehicle.

 Number of families surveyed = 2400

Number of families earning less than 7000 per month and does not own any vehicle = 10

Therefore required probability = 10/2400 = 1/240

4) Earning 13000 - 16000 per month and owning more than 2 vehicles.

   Number of families surveyed = 2400

Number of families earning 13000 - 16000 per month and owning more than 2 vehicles = 25

Therefore required probability = 25/2400

5)  Number of families surveyed = 2400

Number of families owning not more than 1 vehicle = Number of families owning 0 vehicles + Number of families owning 1 vehicle

= (10+0+1+2+1)+(160+305+535+469+579)

= 2062

Therefore required probability = 2062/2400  = 0.86

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Answer:

The quadratic equation [tex]2x^2-10x\:+\:27\:=\:-10[/tex] has no real roots

The two complex roots are:

[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]

Step-by-step explanation:

There are no real root solutions to this quadratic equation

The quadratic formula for solving an equation of the standard form

[tex]ax^2 + bx + c = 0[/tex]

is given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

The term under the square root is called the discriminant and determines the type number of roots(solutions) to the quadratic

The given quadratic equation is
[tex]2x^2-10x\:+\:27\:=\:-10[/tex]

Add 10 to both sides:
[tex]2x^2-10x\:+\:37\:=0[/tex]

Comparing to the standard form we see
a = 2, b = -10, c = 37

The discriminant is
[tex]b^2 - 4ac = (-10)^2 - 4\cdot2\cdot 37\\= 100 - 296\\= -196[/tex]

Since the discriminant is negative both roots will be comples
[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\\\x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(2)(37)}}{ 2(2) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - 296}}{ 4 }\\\\x = \dfrac{ 10 \pm \sqrt{-196}}{ 4 }[/tex]

[tex]\text {To find $\sqrt{-196}$}[/tex]

[tex]\sqrt{-196} = \sqrt{196}\sqrt{-1} =\sqrt{196}\;i[/tex]

where i = [tex]\sqrt{-1}[/tex]

We have

[tex]\sqrt{196} = 14\\\\So\\\\\sqrt{-196} = 14i[/tex]

The solutions are

[tex]x = \dfrac{ 10 \pm 14\, i}{ 4 }[/tex]

[tex]x = \dfrac{ 10 }{ 4 } \pm \dfrac{14\, i}{ 4 }[/tex]

[tex]x = \dfrac{ 5}{ 2 } \pm \dfrac{ 7\, i}{ 2 }[/tex]

[tex]x = 2.5 \pm 3.5i[/tex]

The two complex solutions are:

[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]

The solution of the given equation is 1/4

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Given equation can be rewritten as:

(1/8 -x)^(1/3) = -1/2

raising the power 3 on both the sides, we get

(1/8 -x) = (-1/2)³

(1/8 -x) = -1/8

=> x= 1/8 + 1/8 = 2/8 = 1/4

The solution of the given equation is 1/4

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1 milligram equals 0.001 grams. 1 gram is equal to 1000 milligrams.

So, 500 milligrams is equivalent to 0.5 grams.

The International System of Units uses the unit of mass known as the gramme (symbol: g) (SI).

The kilogramme serves as the basis for the definition of the gramme.

The SI base unit of mass is the gramme, which is one thousandth of a kilogramme.

The kilogramme, the foundation unit of mass in the SI (International System of Units), serves as the basis for the weight and mass unit known as the milligramme.

It is equivalent to 1/1,000,000 kilos or 1/1,000 gramme.

500 milligrammes equal 0.5 grammes.

grammes (g) from milligrammes (mg) (g),

You can divide the number of milligrams by 1000:

500 mg ÷ 1000 = 0.5 g

So,

500 milligrams is equivalent to 0.5 grams.

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I think for the shirts it's 32 and the t-shirts for 50 .

Step-by-step explanation:

Answer:

Therefore, the influencer would earn $52 for a video with 1 million views.

Step-by-step explanation:

333 whole cups can be filled to full capacity before the water cooler is empty.

What is volume of an object?

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units. In other words, the volume of any object or container is the capacity of the container to hold the amount of fluid (gas or liquid).

First, we need to calculate the volume of one cone-shaped cup:

The formula for the volume of a cone is V = (1/3)πr²h, where r is the band h is the height. Since the diameter of the cup is given as 2 inches, the radius is 1 inch. Thus, the volume of one cup is:

approximately 333 whole cups can be filled to full capacity before the water cooler is empty.

Next, we need to determine how many cups can fit into the water cooler. To do this, we can divide the volume of the cooler by the volume of one cup:

          [tex]V = \frac{1}{3} \pi 1^{2} 3 \\\\V= \frac{1}{3} \pi \ cubic\ inches[/tex]

Number of cups = Volume of cooler / Volume of one cup

Number of cups = 350 cubic inches / [(1/3)π cubic inches]

Number of cups ≈ 333 whole cups

Therefore, approximately whole cups can be filled to full capacity before the water cooler is empty.

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The weighted average of the given numbers 1 and 6 is 2.

What is a weighted average?

A weighted average is the average of a set of integers with different associated "weights" or values. The weighted average can be calculated by multiplying each value by its weight, then adding the results.

We are given two numbers as 1 and 6.

The formula of weighted average is as follows

Weighted average = (first number x weight of first number) + (second number x weight of second number)

We are given weights as four-fifths on the first number and one-fifth on the second number.

So,

⇒Weighted average = (1 x 4/5) + (6 x 1/5)

⇒Weighted average = 4/5 + 6/5

⇒Weighted average = 10/5

⇒Weighted average = 2

Hence, the weighted average of the given numbers 1 and 6 is 2.

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The difference between original loan and unsubsidized loans at the time of graduation is =  8302.57 - 7855 = $447.57

What is meant by a loan?

A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government. The borrower accepts a specific set of terms in return, which may include any economic costs, interest, a repayment schedule, and other requirements.

The lender may occasionally need collateral to protect the loan and guarantee repayment. Major purchases, investments, renovations, debt reduction, and company endeavours are just a few uses for loans. Loans aid in the expansion of already existing businesses. The growth of an economy's total money supply and fostering competition are made possible by loans to new enterprises.

Given,

 Time to graduate = 18 months

Amount of loan for 3 semesters = $7855

Unsubsidized loan

rate of interest = 3.7%

Subsidized Stafford Loan

rate of interest = 4.7%

Amount after 6 months for each loan

P = $7855

r1 =  3.7%

r2 = 4.7%

t (in years) = 18 months = 1.5 years

Number of times compounded in a year n = 12

Amount of  Unsubsidized loan at the time of graduation

= [tex]P(1 + \frac{r}{n})^{nt}[/tex]

= [tex]7855(1 + \frac{0.037}{12})^{12*1.5}[/tex]   = $8302.57

Amount of the Subsidized Stafford Loan at the time of graduation

= [tex]P(1 + \frac{r}{n})^{nt}[/tex]

= [tex]7855(1 + \frac{0.047}{12})^{12*1.5}[/tex]   = $8427.60

Therefore the difference between the balance amount of the original loan and the unsubsidized loan at the time of graduation is

=  8302.57 - 7855 = $447.57

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A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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110 in binary is equal to 6 as decimal.

Let's say you have a number in base 2 (binary) that you want to convert to decimal. The number is 110.

To convert this to decimal, you would use the following formula:

decimal equivalent = [tex](d_n * base^n) + (d_n-1 * base^(n-1)) + ... + (d_1 * base^1) + (d_0 * base^0)[/tex]

where:

[tex]d_n, d_n-1, ..., d_1, d_0[/tex] are the digits of the number

base is the base of the number system (in this case, 2 for binary)

n is the number of digits in the number minus 1

Using this formula,

we can convert 110 in binary to decimal as follows:

decimal equivalent = [tex](1 * 2^2) + (1 * 2^1) + (0 * 2^0)[/tex]

= 4 + 2 + 0

= 6

Therefore, 110 in binary is equal to 6 in decimal.

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Answer:  $29830

Step-by-step explanation:

Every year the amount he has (in the bank lets say) goes up by 5.6%. This can be explained as multiplying by 1.056, as it basically take the one and adds 0.056 which is equivalent to 5.6%. If we are trying to find the end value after 19 years, we would have multiplied our original value by 1.056, 19 times. We can find how much that is by calculating 1.056 to the power of 19, which equals 2.8159. This is how much the money would have increased over the 19 years. Dividing the final value by 2.8159 will get us the original value. $84,000 / 2.8159 = ~ $ 29830. I have already rounded up so this should be the answer.

Answer:

392ft²

Step-by-step explanation:

We need to find out the area of the side walk .The area of the sidewalk will the difference of the areas of rectangles ABCD and EFGH .

The dimensions of rectangle EFGH is 35ft * 14ft

So it's area would be ,

A = l*b

A = 14ft * 35ft

A = 490ft²

Now the length of the rectangle EFGH will be,

l = 35ft + 2*3.5ft

l = 35ft + 7ft

l = 42ft

Again,its breadth will be,

b = 14ft + 2*3.5ft

b = 14ft + 7ft

b = 21ft

So it's area would be,

A = l * b

A = 42ft * 21ft

A = 882ft²

Therefore the area of the sidewalk will be,

ar(sidewalk) = ar(ABCD) - ar(EFGH)

ar(sidewalk) = 882ft² - 490ft2

ar(sidewalk) = 392ft²

and we are done!

A number placed in front of a chemical symbol or formula in order to balance the equation is called a coefficient.

In a chemical equation, the coefficients are used to balance the number of atoms on both sides of the equation. The coefficients are placed in front of the chemical formulas or symbols to indicate the number of molecules or atoms involved in the reaction. For example, in the chemical equation for the reaction between hydrogen gas and oxygen gas to form water:

2H2 + O2 → 2H2O

The coefficient "2" in front of the H2O formula indicates that two water molecules are formed in the reaction. The coefficients are adjusted in order to ensure that the number of atoms of each element is equal on both sides of the equation, and that the law of conservation of mass is satisfied.

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Answer:

which one?Tell me so I can help you

Dana cuts a block of Colby cheese into 9 equal pieces. She serves 6 pieces when the party starts, which is 2/3 of the block. She saves 3 pieces to serve later, leaving 1/3 of the block remaining.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number below the line is called the denominator.

Dana cuts a block of Colby cheese into 9 equal pieces. This means that each piece is 1/9th of the block of Colby cheese.

Dana serves 6 pieces of the cheese when the party starts. So the total amount of cheese that she serves is 6 times the size of each piece, which is:

6 pieces x (1/9th of the block) = 6/9 or 2/3 of the block.

Therefore, Dana serves 2/3 of the block of Colby cheese when the party starts.

She saves 3 pieces to serve later, which means that there are still 3/9 or 1/3 of the block of Colby cheese left.

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Answer:

Below

Step-by-step explanation:

REMEMBER: for a right triangle  sin (30) = opposite LEG/ hypotenuse

  so sin 30 =  4 / hypotenuse         now, with a calculator sin 30 = 1/2

            1/2   = 4 / hypotenuse      so hypotenuse = 8

Now it is a right triangle so Pythagorean theorem applies

  hyp ^2 = 4 ^2   +   BM^2

   8^2 = 4^2 + BM^2

      48 = BM^2     so  BM = sqrt (48 ) = 4 sqrt 3

Finally, all of the internal angles of ANY triangle sum to 180 °

   so angle x = 180 - 90 - 30 = 60°

Answer:

484ft

Step-by-step explanation:

Split the shape into different shapes like triangles and squares.

area of a triangle: [tex]A=\frac{ab}{2}[/tex]

Area of a square: A = l x w

If the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The number of marbles you have will depend on the total mass of the marbles, as the number of moles is a measure of the amount of substance (in this case, marbles) rather than the actual number of marbles.

To calculate the number of marbles, you would need to know the mass of one marble, and then divide the total mass of the marbles by the mass of one marble.

For example, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would first calculate the total mass:

mass = number of moles x molar mass

where the molar mass of a single marble is equal to its mass in grams, and the number of moles is given as 2:

mass = 2 moles x 5 grams/mole = 10 grams

Then, you can calculate the number of marbles by dividing the total mass by the mass of one marble:

number of marbles = total mass / mass of one marble

number of marbles = 10 grams / 5 grams/marble = 2 marbles

Therefore, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

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Answer:

43,560ft

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Therefore, for every 1 acre it is equivalent to 43,560 feet.

Answer: Right/complementary angles

Step-by-step explanation:

Two angles that add up to 90 degrees are called complementary angles.

Complementary angles are a pair of angles that, when added together, equal a right angle, which measures 90 degrees.

In other words, the sum of the measures of complementary angles is always 90 degrees.

Complementary angles often arise in geometry and trigonometry, and understanding their properties is important when working with angles and solving problems involving right triangles.

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The coordinates of P' are (-√3, 1).

Given that P is located on a circle with a radius of two and an origin at its centre, the following trigonometric ratios can be used to determine P's coordinates:

Sin is equal to the opposite/hypotenuse and cos is equal to the adjacent/hypotenuse.

P's coordinates are as a result:

y = 2 sin = 2(1/2) = 1 and x = 2 cos = 2(3/2) = 3.

The x-coordinate of P' will be the opposite of the x-coordinate of P since P and P' are symmetrical about the y-axis, or x' = -3. P' will have the same y-coordinate as P, meaning that y' = 1. Hence, P's coordinates are (-3, 1).

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