Last season the St. Paul High School basketball team won 15 games and lost 25 games. What percent of the games were won by the school?

Answer:

True

Step-by-step explanation:

The number of hours Marco worked obtained from the equation formed using the information on the $1439 Layla worked, and the 15 and 20 hours Steph and Destiny worked is 36 hours

An equation is a mathematical or science statement expressing the equivalence of two expressions, located on either side of an '=' sign.

Part of the question obtained from the table, graph and equation in a similar question posted online are;

The details of the payment of the employees of the print shop, Stephine, Marco, and Destiny, and the owner of the print shop Layla are as follows;

The amount, Layla, the owner of the business earns =  2 × The amount the employees earn

Amount Stephine earns, working 15 hours = $157.50

Amount Destiny earns working 20 hours = $400

Marco's wage = 9·h = $9 per hour

When Layla earns $1439, Steph works for 15 hours, Destiny works for 20 hours, the number of hours Marco works can be found by expressing the information as an equation as follows;

1439 = 2 × 157.50 + 2 × 400 + 9 × h

h = (1439 - (2 × 157.50 + 2 × 400))/9 = 36

The number of hours Marco worked, h = 36

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The range of the function g:x->1/x-3  is (−∞,0)∪(0,∞),{y|y≠0}

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

Set the denominator in

1x−3equal to 0

to find where the expression is undefined.

x−3=0

Add 3 to both sides of the equation.

x=3

The domain is all values of x

that make the expression defined.

Interval Notation:(−∞,3)∪(3,∞)

Set-Builder Notation:

{x|x≠3}

The range is the set of all valid y values.

Interval Notation:(−∞,0)∪(0,∞)

Set-Builder Notation:

{y|y≠0}

Domain: (−∞,3)∪(3,∞),{x|x≠3}

Range: (−∞,0)∪(0,∞),{y|y≠0}

Therefore, the range will be(−∞,0)∪(0,∞),{y|y≠0}

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Rounded to the nearest cubic mm, the volume is 615 cubic mm.

To calculate the volume of a cylinder, you can use the formula: V = πr^2h, where r is the radius, h is the height, and π is approximately equal to 3.14. In this case, the radius is 6mm and the height is 7mm. So, the volume of wax needed is approximately: V = 3.14 * 6^2 * 7 = 615.44 cubic mm. Rounded to the nearest cubic mm, the volume is 615 cubic mm.

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The surface area of the cylinder is 1714.44 square inches.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

The net of a cylinder is shown.

And the radius = 13 inches, height = 8 inches.

And we have the formula,

surface area of a cylinder, A = 2πr² + 2πrh.

That means,

the surface area of the cylinder = area of the bases + area of curved part.

So,

the surface area of the cylinder = 2(3.14)(13)² + 2(3.14)(13)(8).

The surface area of the cylinder = 1061.32 + 653.12

The surface area of the cylinder = 1714.44 square inches.

Therefore, the surface area is 1714.44 square inches.

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answer

x = 5

2+√5x = 7

√5x = 7-2

√5x = 5

squaring on both sides

(√5x)²=(5)²

5x=25

x=25/5

x=5

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Given data :

5 a - 9 ( b + 84 )° = 3a + 5 ( 3b )°

5 a - 3a = (3b - b + 84)°

2a = 2b + 84

a = 2b + 84 / 2

a = 2b + 42

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Considering the definition of perpendicular line, the equation of the line that is perpendicular to y=−13x+2 and passes through (2, 8) is y= 1/13x + 102/13.

A linear equation o line can be expressed in the form y= mx + b

where

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines, you get –1.

The line is y= -13x +2

where:

Since you multiply the slopes of two perpendicular lines, you get –1. So:

-13 × slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-13)

slope perpendicular line= 1/13

The line passes through the point (2, 8). Replacing the slope and the coordinates of the point in the expression of a line:

8= 1/13× (2) + b

8= 2/13 + b

8 - 2/13= b

102/13= b

Finally, the equation of the perpendicular line is y= 1/13x + 102/13.

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Answer: When simplified, -x − x is:

-2x

When you subtract x from -x, you are essentially adding the opposite of x to -x, which is -x.

-x + (-x) = -x + -x = -2x

-x and x have opposite signs so when you add them up, the signs cancel out and you are left with the coefficient -2 in front of the x.

Step-by-step explanation:

The requried solution of the given equation is x = -1. Mai's statement is incorrect.

Reasoning is defined as math in the form of a puzzle for the living world such as codded sequences, relations, correlation, etc. is called reasoning.

here,
Mai says that the equation 2x+2=X+1 has no solution because the left-hand side is double the right-hand side.
So,
2x + 2 = x + 1
2x - x = 1 - 2
x = -1, Mai's statement is incorrect because the equation has a solution.

Thus, the requried solution of the given equation is x = -1. Mai's statement is incorrect.

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Esmeralda must deposit $53,637.38 to have $80,000 in 20 years.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It refers to the interest on a deposit or loan that is calculated not only on the initial principal but also on the accumulated interest from previous periods.

To find out how much Esmeralda must deposit now in order to have $80,000 in 20 years, you can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the future value (what Esmeralda wants to have in 20 years)

P = the present value (what Esmeralda wants to deposit now)

r = the annual interest rate (1.75% in this case)

n = the number of compounding periods per year (monthly in this case)

t = the number of years (20 in this case)

By substituting the given values into the formula, we get:

80,000 = P(1 + 0.0175/12)^(12*20)

Solving for P:

P = 80,000 / (1 + 0.0175/12)^(12*20)

The present value of Esmeralda's deposit is $53,637.38, rounding to the nearest cent.

Hence, Esmeralda must deposit $53,637.38 to have $80,000 in 20 years.

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The teenager charge $70 to babysit for 5 hours.

The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate.

For instance, the unit rate will be 50km/5.5 hours = 9.09 km/hour if 50km is travelled in 5.5 hours.

Given:

A teenager charges $112 to babysit for 8 hours.

So, in one hour the charges would be

= 112/8

= $14

Now, the charges for 5 hours

= 14 x 5

= $70

Hence, the charges for 5 hour is $70.

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Answer:

Step-by-step explanation:

D

Answer:

no they dont

Step-by-step explanation:

The ideal congressional district size (Standard Divisor) in 1790 was 34437.33.

The number of persons each House of Representatives seat represents is known as the "Standard Divisor" (SD). By dividing the total population of all the states by the total number of seats available for voting, the SD is determined. SD is calculated as Total U.S. Population / Total Number of Voting Seats.

The ratio of the entire population to the available seats (or other allocations) is known as the standard divisor. • The Hamilton system divides up any extra seats among the states with the largest fractional parts after allocating each state its lower quota initially.

Given,

population in 1790 was 3,615,920,

number of objects = 105

⇒ Standard divisor = total population / number of objects

⇒ Standard divisor = 3,615,920 / 105

⇒ Standard Divisor = 34437.33

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Answer:

  C.  x = 18/5

Step-by-step explanation:

You want the solution to √(5x -2) -1 = 3.

Add 1 to isolate the radical.

  √(5x -2) = 4

Square both sides.

  5x -2 = 16

Add 2, then divide by 5.

  5x = 18

  x = 18/5

The length of the longer side of the rectangle is, 5 inch.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The area of a rectangle is 17 1/2 inches squared.

And, it's shorter side is 3 1/2 inches squared.

Now, We know that;

Area of rectangle = Length × width

Here, it's shorter side is 3 1/2 inches squared.

Hence, We get;

⇒ Area of rectangle = Length × width

⇒ 17 1/2 = Length × 3 1/2

⇒ 35/2 = Length × 7/2

⇒ Length = 35/2 × 2/7

⇒ Length = 5 inch

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The given system of equations represents the cost of 4 cups of tea and the total cost of tea and lemonade.

What is the system of equations?

A system of equations usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.

Here, we

Suppose the number of cups of tea and lemonade is t and l respectively.

Then, the following equations can be formed for the given case,

The equation for total cost is given as,

4t + 2l = 120...(1)          

And, the equation for the number of cups is given as,

l = 5t...(2)                    

Now, the term 4t in equation (1) represents the cost for 4 cups of tea, and 120 represents the total cost.

Hence, the given system of equations represents the cost of 4 cups of tea and the total cost of tea and lemonade.

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Answer:

Step-by-step explanation:

I think it will be

The equation that can be used to find the value of 'x' will be x² = (10)² + (8)². Then the correct option is C.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

If x represents the hypotenuse of this right triangle. then the value of the variable 'x' is calculated as,

x² = (10)² + (8)²

The equation that can be used to find the value of 'x' will be x² = (10)² + (8)². Then the correct option is C.

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Answer:

ccccccccccc

Step-by-step explanation:

took test

Answer: C

Step-by-step explanation:

The problem says that one side of a right triangle has a length of 12 feet.

This means that when you use the Pythagorean theorem on the triangle, it should work.

The lengths that the Pythagorean theorem doesn't work are the ones that don't work.

I is true.

5^2+12^2=13^2

II is also true.

63+9^2=12^2

III is false, however. The Pythagorean theorem doesn't work.

Therefore, the answer is C. I and II only.

Answer: id say it would be C

Step-by-step explanation:

40 quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The quart of the solution must be added be 'x'.

Therefore, According to the given information,

0.5x + 0.2(20) = 0.4(x + 20).      (0.5 represents 50% solution)

0.5x + 4 = 0.4x + 8.

0.1x = 4.

x = 40.

So, 40 quarts of acid must be added.

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Answer:

aicd

Step-by-step explanation:

The percentage of pages of books that Olivia has not read would be = 35%

Percentage is defined as the part of a whole value per 100 which is represented with the symbol of %.

The number of pages left is the 70-pages book = 70 - 40 = 30 pages.

The number of pages left in the 85-page book = 85 -60 = 25 pages.

The number of pages left in the 65-page book= 65-43 = 22

The total number of pages she has to read = 70+85+65 = 220

The total number of pages she has not read = 30+25+22= 77

Therefore the percentage of the pages she has not read :

= 77/220× 100

= 7700/220

= 35%

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The simplified form of the given expression is cos(∞/2)

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

(sin²(∞/2))/(1-cos(∞/2)) - 1

Use the formula: sin²(x) = 1- cos²(x)

=> (1-cos²(∞/2))/ (1-cos(∞/2)) - 1

Use the identity a²-b² =(a-b) (a+b)

[(1-cos(∞/2)*(1+cos(∞/2)]/ (1-cos(∞/2)) - 1

common terms cancel out

(1+cos(∞/2) - 1

= cos(∞/2)

Thus, the simplified form of the given expression is cos(∞/2)

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They can create 100 shoes in a day if they work together. They will have 150 shoes left if they donate 150 shoes to the less fortunate.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

Ryle can make 35 shoes in 3 days and Andrei can make 65 shoes in 5 days.

⇒ 35 + 65

Apply the addition operation,

⇒ 100

Together, they can make 100 shoes in a day.

If they work for 3 days, they will make 300 pairs of shoes.

⇒ 300 - 150

Apply the subtraction operation,

⇒ 150

If they donate 150 shoes to the less fortunate, they will have 150 shoes left.

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Answer:

2602,02008

Step-by-step explanation:

25000*(1+0,02)^5 - 25000 = 2602,02008

The total surface area painted black = 90.5 square feet to the nearest tenth.

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

Given:

Three large cones hang from the ceiling in an office building in front of a bank of windows.

The height of each cone is 12 feet, and the circumference of the base of each cone is 8π feet.

The base and 40% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.

Circumference of the base of the cone = 8π feet.

2πr = 8π

πr = 4π

The surface area of the cone = πr x height

The surface area of the cone = 12 x 4π

The surface area of the cone = 48π.

The total surface area painted black = 60% of 48π.

The total surface area painted black = 90.5 square feet to the nearest tenth.

Therefore, the result is 90.5 square feet to the nearest tenth.

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Answer: 90.5 square feet is the correct answer

Step-by-step explanation:

I started to learn English recently and I’m struggling doing this homework. Can someone give me a hand?

The simplified form of the given mathematical expression (7⁵/7³) include the following: A. 7^2.

In Mathematics, an exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.

Based on the law of indices for division, we have the following:

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

By applying the law of indices for division, we have the following mathematical expression:

Mathematical expression = 7⁵/7³

Mathematical expression = 7⁽⁵ ⁻ ³⁾

Mathematical expression = 7²

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Complete Question:

Simplify the following expression:

7^5/7^3

A. 7^2

B. 7^8

C. 7

D. 1

The volume of a cube is a*a*a where a is length of the side,

What is Surface area of cube?

Surface area of cube can be defined as the product of six and square of a .

Given ,

to find the volume of cube.

Volume of a cube is the overall cubic gadgets occupied via it, in a 3-dimensional area. A cube is a 3D-shape, that has six faces, twelve edges and 8 vertices. hence, the extent of a cube is the space enclosed via its six faces. not like, 2nd shapes, it has additional dimensions aside from period and width, that is known as height or thickness. therefore, the quantity of dice is equal to fabricated from its duration, width and height. it's far measured in cubic gadgets. The extra the value of its dimensions the more is the quantity of dice.

Volume of cube is  =  a*a*a

where a is length of side of cube or edges.

or it can be also called

volume of cube = length*width*height

Hence, The volume of a cube is a*a*a .

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