Solve the equation that’s given

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

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

The time on the first watch reads 2:31, followed by 3:13, 3:55, and 4:37 on the following watches.

The time on the first watch reads 2:31, followed by 3:13, 3:55, and 4:37 on the following watches.

Adding 42 minutes to the prior watch, which is currently showing the time 4:37, results in the final time reading of 5:19.

When x minutes have passed, let the clock hands align.

Clock hands align at 21.81 minutes after four.

Option B, 21.81 minutes, is the proper response, therefore.

They need to be 30 minutes apart for them to be moving in the opposing directions.

Minute hand will need to add 50 minute gaps as a result.

It takes 60 minutes to fill 55 minute gaps.

In light of this, 54 6/11 minutes after four is the right response.

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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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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:

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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Answer: X= 72°

Here if we see the figure is not labelled so I am assuming it to A,B,C AS MAIN TRIANGLE and BD bisector of angle ABC.

We have to find out that angle DBC.

ANGLE CAB = ANGLE DBA

Hence Angle CDB = ANGLE CAB + ANGLE DBA

27° + 27° = CDB = 54° = ACB ( if sides are equal then opposite angles are also equal.)

so required angle x = 180° - 54° - 54° ( sum of angle of triangle equals 180)

so x= 72°

Answer: 20 people

Step-by-step explanation:

If each car has 2 benches and 2 people fit on each bench, you have to multiply 2 x 2 which equals 4. Then you have to multiply the number of how many people fit on each car by the number of cars. ( 4 x 5 = 20 ) Hence the answer is 20 people.

Answer:

20 people

Step-by-step explanation:

2 benches × 5 cars = 10 benches

10 benches with 2 people on each of them (10×2)

=20

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 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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Answer:

To find the percentage of games won by the school, you can divide the number of games won by the total number of games played, and then multiply by 100.

In this case, the school won 15 games and lost 25 games, for a total of 15 + 25 = 40 games played.

So, to find the percentage of games won, you would do:

(15 / 40) x 100 = 37.5%

So, the St. Paul High School basketball team won 37.5% of their games last season.

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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

The linear equation of the line is slope =-1/5 and point is 10,2

The slope is given as:

m = -1/5

The point is given as:

10,2

A linear equation in slope intercept form is represented as:

y = m + p

So, we have:

y is intercept

mx is slope

p is point

y = -1/5x - 10

Add 10 to both sides

y + 10 = -1/5x

Express -1/5x as -1/5(x)

y + 10 = -1/5(x)

Subtract 0 from x

y + 10 = -1/5(x - 0)

Hence, the linear equation of the line is y = -1/5x - 10 and y + 10 = -1/5(x - 0)

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The percentage of business-hour usage that the Plan will be cheaper will be 22.6%.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this case, Plan X costs 6.5 cents per minute for calls between 8 A.M. and 6 P.M. weekdays and 4.5 cents per minute at other times. Plan Y costs 5.3 cents per minute any time.

The percentage of business-hour usage that the Plan will be cheaper will be:

= (6.5 - 5.3) / 5.3 × 100

= 1.2 / 5.3 × 100

= 22.6%

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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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The number is x = 0 or 18.The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Let x be the number.  Translation of the given information into algebra gives

√(2x) = x/3

Solve for x.  Note x ≥ 0.

2x = x2/9

If x ≠ 0,

2 = x/9 ⇒ x = 18

Solutions are x = 0 or 18.

The complete question is,

The square root of twice a number is equal to one-third of that number. Find the number.

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A constant term that makes the equation have infinite solutions include the following: C. 20

In Mathematics, an equation is said to have an infinitely many solutions when the left hand side and right hand side of the equation or inequality are the same and equal.

This ultimately implies that, an equation or an inequality would have infinitely many solutions when both sides of the equal sign are the same, and both the slope and y-intercept for the two lines are the same.

By applying the rule for an infinitely many solutions, we have:

5x + 20 = 5x + 20

5x - 5x = 20 - 20

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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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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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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: 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:

Answer:

Step-by-step explanation:

D

Answer:

no they dont

Step-by-step explanation:

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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The value of the distance across the sea is 302 feet

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.

Triangle PRE and triangle POC are similar triangles based on the angle - angle similarity. Hence:

PR / PO = RE/OC

substituting:

x/ (x + 135) = 185 / 335

335x = 185x + 45225

150x = 45225

x = 302 feet

The value of PR is 302 feet

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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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2)Slope intercept form: y = -2x + 5

Point slope form: y - 5 = -2(x - 4)

Standard form: 2x + y = 13

3)Slope-Intercept Form: y = -2x + 10

Point-Slope Form: y - 6 = -2(x - 4)

Standard Form: -2x + y - 10 = 0

The Slope-Intercept Form is a linear equation written in the form:

y = mx + b

where m is the slope and b is the y-intercept.

Point-Slope Form is a linear equation written in the form:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Standard Form is a linear equation written in the form:

Ax + By = C

where A, B and C are constants.

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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:

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

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

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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