The Chess Club wants to raise a total of $150 for a group trip.
They earn $1.25 for each box of pies they sell. They have
already made $16.25. Which equation could be used to find
how many more boxes of pies they must sell?

Answer:

We will first find out average time of each student.

Student 1 = 60 / 12 = 5

Student 2 = 60 / 10 = 6

Student 3 = 60 / 8 = 7.5

Student 4 = 60 / 6 = 10

Student 5 = 60 / 4 = 15

Now we will take the arithmatic mean of all students average time.

A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem

The value of expression without the negative exponent is,

⇒ 2/x⁴

What is Rule of exponent?

The rule of exponent is defined as;

aⁿ = 1/a⁻ⁿ

Now, The expression is given as;

2x⁻⁴

It can be rewrite as;

2x⁻⁴ = 2 / x⁴

Hence, The value of expression without the negative exponent is,

⇒ 2/x⁴

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The result as a product of a single digit and a power of 10 is 4*\(10^{10}\).

Given:

38,108,996,999.

The closest approximation is :

= 40000000000

= 400000*\(10^{5}\)

= 40000*\(10^{6}\)

= 4000*\(10^{7}\)

= 400*\(10^{8}\)

= 4*\(10^{10}\)

Therefore the result as a product of a single digit and a power of 10 is 4*\(10^{10}\).

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C and D

because root(4) = 2

C = 2 1

      1 2

      2 1

Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

<95141404393>

Approximately 75% of the students in the class listen to rap music.

Percentage is a way of expressing a proportion or a fraction of a whole quantity in terms of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum," which means "per hundred."

To calculate the percentage of students who listen to rap music, you can use the following formula:

Percentage = (Number of students who listen to rap music / Total number of students) * 100

In this case:

Number of students who listen to rap music = 27

Total number of students = 36

Percentage = (27 / 36) * 100 ≈ 75%

So, approximately 75% of the students in the class listen to rap music.

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Step-by-step explanation:

we have 3 gears meshed with the following teeth . A-20 , B -50 , C -30 . another set of gears have the following teeth . X -20 , y- 25 , Z -30 . Assuming gears A and X are Running at the same rpm . which statement is correct ?

Answer: The required number of heads = 30

Step-by-step explanation:

Given, Total tosses = 50

The theoretical probability of getting head = \(\dfrac{1}{2}\)

As per given,

Experimental probability = Theoretical probability + 20% of Theoretical probability

= \(\dfrac{1}{2}+\dfrac{20}{100}\times\dfrac{1}{2}\)

= \(\dfrac{1}{2}+\dfrac{1}{10}=0.5+0.1=0.6\)

Required number of heads = (Experimental probability) x (Total tosses )

= 0.6 x 50

= 30

Hence, the required number of heads = 30

For example: {(1,2), (3,4), (2,3), (4,1))}

Answer:

35 is the Answer

Answer:

10

Step-by-step explanation:

20-10=10

Answer:

10

Step-by-step explanation:

20-10 = 10

Answer:

  $121,144

Step-by-step explanation:

A financial calculator is useful for this. Supply the given numbers, and it will tell you the future value of the loan after 120 payments.

__

You can calculate the amount by hand using the formula ...

  FV = P(1 +r/12)^(12t) -12A((1+r/12)^(12t) -1)/r

For P = 144,000, r = 0.062, t = 10, A = 881.96, this is ...

  FV = 121,144.12 ≈ 121,144

Answer:

h and k are simply variables that stand in for the x and y of a point. Math books could have easily have used x1, x2 y1 y2, etc, but h and k is the convention.

anyway, this is a guess n check question. Substitute the x value of the point for h, and y value for k, and whichever one gives you a true equation is the right one.

Answer:

Step-by-step explanation:

y = a(x-h)²+k is the “vertex-form equation” for a vertical parabola with vertex (h,k).

Since a>0, the parabola opens upwards. (If a<0, it opens downwards. If a=0, it is not a parabola at all.)

The parabola y = a(x-h)²+2k is the same shape as the first equation, but it is shifted vertically by k units.

Since (2,4) is a point on the first parabola, (2,4+k) is a point on the second parabola.

Answer:

Use papa math

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

\(Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100\)

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

Examples:

| -8 | = 8

| 8 |  = 8

and

| -2 | = 2

| 2 |  = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equation\(Percent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =\)

Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.

Hope this helps :)

x=16/3

10=3x-6

10+6=3x-6+6

10+6=3x-6+6

16=3x-6+6

16=3x-6+6

16=3x

16/3 3x/3

16/3 3x/3

16/3

Answer:

$73,869

Step-by-step explanation:

Total Salary was $78,299.

Subtract the cost of her job expenses

(580 + 1,793 + 2,057)= $4430 is her job expenses

$78,299- $4430= $73,869

The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer:

c. 0.62%

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 1.6991

The margin of error is:

\(M = T\frac{s}{\sqrt{n}}\)

Sample of 30, standard deviation of 2%.

Then

\(M = T\frac{s}{\sqrt{n}} = 1.6991\frac{2}{\sqrt{30}} = 0.62\)

0.62%, so option c.

Step-by-step explanation:

the area of a rectangle is

length × width

the perimeter of a rectangle is

2×length + 2×width

so,

length×width = 48 cm²

2×length + 2×width = 28 cm

length + width = 14 cm

length = 14 - width

we use this in the first equation :

(14 - width) × width = 48

14×width - width² = 48

-width² + 14×width - 48 = 0

a quadratic equation

ax² + bx + c = 0

has the general solution

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = -1

b = 14

c = -48

width = (-14 ± sqrt(14² - 4×-1×-48))/(2×-1) =

= (-14 ± sqrt(196 - 192))/-2 =

= (-14 ± sqrt(4))/-2 =

= (-14 ± 2)/-2 =

= 7 ± 1

width1 = 7 + 1 = 8 cm

width2 = 7 - 1 = 6 cm

length1 = 14 - width1 = 14 - 8 = 6 cm

length2 = 14 - width2 = 14 - 6 = 8 cm

so, we see, one of them must be 8 cm, and the other 6 cm.

let's length be the longer side, so

length = 8 cm

width = 6 cm

Answer:

The Value of a could be anything, as a represents a variable.

Answer: well if you had a pic i could help but if not then the value of a could be anything

Step-by-step explanation:

\(\\ \sf\longmapsto \dfrac{26}{10}=2.6\)

\(\\ \sf\longmapsto \dfrac{527}{10}=52.7\)

\(\\ \sf\longmapsto \dfrac{4537}{1000}=4.537\)

\(\\ \sf\longmapsto \dfrac{329}{100}=3.29\)

\(\\ \sf\longmapsto \dfrac{23}{1000}=0.023\)

\(\\ \sf\longmapsto \dfrac{72}{1000}=0.072\)

1. 2.6

2. 52.7

3. 4.537

4. 3.29

5. 0.023

6. 0.072

Note:

To change fractions (that have a multiple of 10 in denominator) to decimal, just count the number of zeroes. If the number of zeroes is n, then move the decimal to left to n places.

The equilibrium price is $100. The equilibrium quantity is 200.

To find the equilibrium price and quantity, we need to set the quantity demanded (Qd) equal to the quantity supplied (Qs) and solve for the price (P).

Setting Qd = Qs, we get:

300 - P = 2P

Simplifying this equation, we get:

300 = 3P

P = 100

To find the equilibrium quantity, we can substitute the equilibrium price (P = 100) into either the demand or supply equation. Using the supply equation Qs = 2P, we get:

Qs = 2P = 2(100) = 200

In summary, the equilibrium price and quantity for this market are respectively $100 and 200 units. At this price, the quantity demanded and supplied are equal, leading to market stability. This information is important for producers and consumers to understand the current state of the market and how it can impact their behaviour and decisions.

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Th equation is \(3v=54\\\).

Given,

product of 3 and vidya's height is 54

v is represented as vidya's height.

Representation of equation is as follows:

The product of 3 and vidya's height can be written as \(3*v=3v\)

and their product is 54,

\(3v=54\).

Thus, the equation is \(3v=54\\\).

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The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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The total distance of the triathlon is 12000 m.

Two or more expressions with an equal sign are defined as an equation.

Let the total distance of the triathlon be x.

Tasneem swims 1/4of the total route, therefore, she swims for a distance of S = (1/4)x.

Now the remaining route is,

x - (1/4)x

=3/4x

After swimming, she cycles 3/5 of the remaining route, therefore, she cycles for a distance of C = (3/5)×(3/4)x,

C = (9/20)x

Now, she runs for the rest of the route, therefore, she runs for a distance of R = x - (1/4)x-(9/20)x

Or, R = (20x - 5x - 9x)/20

R = (6x)/20

Given that Tasneem runs 3600 m, therefore, substitute R = 3600 into the above equation,

3600 = (6x)/20

(3600×20)/6 = x

12000 = x

Therefore, the total distance of the triathlon is 12000 m.

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Answer:

97 students must be randomly selected for IQ tests.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

The Standard Deviation is 15.

This means that \(\sigma = 15\)

How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?

This is n for which M = 3. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(3 = 1.96\frac{15}{\sqrt{n}}\)

\(3\sqrt{n} = 1.96*15\)

Simplifying both sides by 3

\(\sqrt{n} = 1.96*5\)

\((\sqrt{n})^2 = (1.96*5)^2\)

\(n = 96.04\)

Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):

97 students must be randomly selected for IQ tests.