True or False:
Land bridges across oceans used to connect all continents on Earth.

Answer:

the 10th room on the 6th floor

Step-by-step explanation:

I would guess that the 6 would be the floor number since is a whole number than the 10 would be the room on said floor because it after the 6.

If you were assigned to room 6.10, you would expect to find it in 6th floor and room number 10.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

Decimal points are sometimes used in hotel room numbers.

Any decimal number has whole part and fractional part.

Then whole part = number of floor.

Fractional part = number of rooms.

Then if number is 6.10,

then 6th floor and room number 10.

Therefore, 6th floor and room number 10.

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The probability of randomly drawing a 10 from the deck is:

P = 1/13

We want to find the probability of randomly drawing a 10 from the deck.

Remember that there are 4 suits of 13 cards each, so thereare 52 cards in total and 4 of these cards are tens.

The probability of randomly drawing a 10 is equal to the quotient between the number of cards with a 10 on it (4 of these) and the total number of cards in the deck (52).

It is:

P = 4/52 = 1/13

That is the probability.

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The total credit left after 40 minutes of call will be $27.5.

Given is that Latoya purchased a prepaid phone card for $35.50. Calls cost 20 cents a minute using this card. The credit {C} left on the card after it is used for minutes of calls is given by the following function : C(x) = 35.50 - 0.20x.

For using the card for 40 minutes of calls, we can write -

C(x) = 35.50 - 0.20x.

C(40) = 35.5 - 0.2 x 40

C(40) = 35.5 - (1/5) x 40

C(40) = 35.5 - 8

C(40) = 27.5

Therefore, the total credit left after 40 minutes of call will be $27.5.

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Step-by-step explanation:

We need to find out the area and perimeter of the given rectangle. The dimensions of the rectangle are 5ft * 7ft . We can find the area of rectangle as ,

[tex]\longrightarrow Area = length\times breadth [/tex]

So , the area would be ,

[tex]\longrightarrow Area = 5ft (7ft)=\boxed{35ft^2}[/tex]

And perimeter Is ,

[tex]\longrightarrow perimeter =2(l+b)\\[/tex]

[tex]\longrightarrow perimeter=2(7+5)ft \\[/tex]

[tex]\longrightarrow perimeter= 2(12ft)=\boxed{24ft}[/tex]

And we are done!

-Rishabh

The exponential function for the situation is A(t) = 350 (1.1)^t.

The expression for the size of the quantity after 50 years is A(t) = 350 (1.1)^50.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The size of the quantity = 350.

The growth rate every year = 10%.

The growth value will be -

= (1 + 10%)

= 1 + (10/100)

= 1 + 0.10

= 1.1

Let the time in years be measured as t.

The exponential function A(t) for the growth of quantity will be -

A(t) = 350 (1 + 10%)^t

A(t) = 350 (1.1)^t

To find an expression for the size of the quantity after 50 years, substitute the value of t as 50.

A(t) = 350 (1.1)^t

A(t) = 350 (1.1)^50

Therefore, the size after 50 years can be modeled by A(t) = 350 (1.1)^50.

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Answer:

LxWxH

Step-by-step explanation:

if i’m not mistaken you add all Lengths together then adds all height together and width then once you have 3 separate number do LxWxH

Answer:

difference between 4 1/5 and 2 2/5 is 9/5 in simplest form.

Step-by-step explanation:

To find the difference between 4 1/5 and 2 2/5, we need to first convert the mixed numbers to fractions with a common denominator.

4 1/5 can be written as: 4 + 1/5 = (4 x 5 + 1) / 5 = 20/5 + 1/5 = 21/5

2 2/5 can be written as: 2 + 2/5 = (2 x 5 + 2) / 5 = 10/5 + 2/5 = 12/5

Now we can subtract: 21/5 - 12/5 = 9/5

So the difference between 4 1/5 and 2 2/5 is 9/5 in simplest form.

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The correct question is Find the difference between 4 1/5 - 2 2/5 and represent your answer in simplest form

The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

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m∠Q of the given Δ PQR is 133.

Given data :

m∠P = (x+13)°

m∠Q = (10x+13)°

m∠R = (2x−2)°

The three angles form the triangle ΔPQR, then the addition of them makes 180°.

m∠P + m∠Q  + m∠R  = 180°

x + 13 + 10x+13 + 2x−2  = 180

x + 10x + 2x + 13 + 13  - 2 = 180

13x - 24  = 180

13x = 180 - 24

13x = 156

x = 156 / 13 = 12

Then, m∠Q = 10 x 12 + 13 = 133

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Answer: The answer is 2 cubicles

Step-by-step explanation: To find how many cubicles are carpeted you must find what 1/4 of 8 is. In order to do that you must multiply 1/4 by 8.

To do this you must first turn 8 into 8/1 (they are both equal to the same value but it is easier to multiply in fraction form) and multiply it into 1/4

8 and 1 = 8 and 4 and 1 = 4, so you are left with 8/4 which is equal to 2

Answer:

Step-by-step explanation:

3 x 2.75 = 8.25

3 x 1.50 = 4.50

3 x 4.25 = 12.75

then add all answers

$25.50

The following are the quotient as a fraction or mixed number;

4/5

1 ¼

2/5

2½

Quotient refers to the number resulting from the division of one number by another number.

4 divided by 5 = 4/5

5 divided by 4 = 5/4

= 1 ¼

12 divided by 30 = 12/30

= 4/10

= 2/5

30 divided by 12 = 30/12

= 5/2

= 2½

Therefore, the quotient can be written as a whole number, fraction or mixed number.

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option C) The volume of the right cylinder is 1017.88 m² = 324π m²

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

The properties of cylinder are :

The radius of the cylinder = 6 m

Height = 9 m

The volume of the right cylinder is π(radius)²height

= π * 6² * 9 = 1017.88 m² = 324π m²

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Using linear equation, b = height of building in meters, b × 0.6h + 52

The linear equations theory is used in this question. The building's height is denoted by the variable b in this equation, and its number of floors is denoted by the constant 52.

The height of each story in the building is represented by the coefficient 0.6. The overall height of the building, including all levels, is the answer when the equation is solved.

A collection of two or more linear equations with the same set of variables is referred to as a linear system.

A set of numbers that simultaneously solves all of the equations in a linear system is known as the solution.

You can solve linear systems mathematically by solving the equations algebraically, or you can solve them graphically by graphing the equations and locating the point of intersection.

Elevator b 0.6h + 52

Step 1: Multiply the height of the building (b) by 0.6.

Step 2: Add 52 to the result.

Step 3: The final answer is the sum of the two numbers.

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The percent of decrease from 136 days to 85 days is,  37.5%.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The days decrease from 136 days to 85 days.

Hence, The percent of decrease from 136 days to 85 days is,

Decrease percent = (136 - 85) / 136 × 100

                            = 37.5%

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The statements below:

P : 23 ⩾ 32

Q : 52 + 122 = 132

both are false statements and it can be represented as a P ⊕ Q, So Option B is correct

It is a branch of mathematics, in which  we use symbols for representation of statements based on the logical relation between them.

Given statements,

P : 23 ⩾ 32 Q

Q : 52 + 122 = 132

In statement P, 23≥32 ,

32 ≥ 23 is mathematically correct

So, this statement is False

In statement Q, 52 + 122 = 132

172 is correct answer

So, this statement is also False

Thus, Both the statements are false,

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The different average/ percentages are 60, 12, 24

Average is also called percentage or it is a proportion of a figure expression as a fraction of 100

The given tale appears as follows

mass                            percentages

----                                   100% of 60

-----                                    20 % of 60

----                                     40% of 60kg

To complete the table above, we have

1.    100/100 * 60 = 60

2     20/100 * 60000 = 12

3      40% * 60  = 24

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Answer:

45/6 or 15/2

Step-by-step explanation:

1. Make 25 1/3 and 17 5/6 improper fractions (25 x 3 + 1; 17 x 6 + 5). The fractions should be 76/3 and 107/6.

2. Get a common denominator between the two fractions (multiple 76/3 by 2 in the numerator and denominator. Should be 152/6.

3. Subtract 107/6 from 152/6 to get 45/6.

4. Simplify

Answer: x = 2 y = 1

Step-by-step:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2, 1)

Equation Form:

x = 2, y = 1

The graph should look like this, sorry if my explanation wasn't really that good.

2. Solution of the system is x = 5 and y = -1

4. No solution as the lines are parallel

6. Solution of the system is x = -1/2 and y = 3

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Simultaneous equations, system of equations , Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

The system of equations

7x - 2y = 37 ..............(i)

4x + y = 19 ........(ii)

Multipling 2 in equation (ii) then adding both equation we get

7x - 2y + 8x + 2y = 37 + 38

⇒15x = 75

⇒x = 5

So when x = 5

4x + y = 19

4*5 + y = 19

y = -1

Solution of the system is x = 5 and y = -1

Again

x - 3y = 7

2x - 6x = 12 ⇒ x - 3y = 6

so ,

[tex]\frac{x_{1} }{x_{2}}= \frac{y\x_{1} }{y\x_{2}}[/tex] so the two lines are parallel to each other so there are no solution.

Again,

2x + 5y = 14 ................(iii)

4x + 2y = -4 ...............(iv)

Multipling 2 in equation (iii) then subtracting (iv) from (iii) we get,

4x + 10y - 4x - 2y = 28 - 4

⇒8y = 24

⇒y = 3

putting y = 3 in equation (iii) we get

2x + 5*3 = 14

x = -1/2

Solution of the system is x = -1/2 and y = 3

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We will see that the fraction is 1/20, 1/20 of the total movies are action movies that have been playing for more than three weeks.

Here we want to find the fraction of all the movies at the theater are action movies that have been playing for more than three weeks.

First, we know that 1/4 of the total number of movies are action movies, and, of these 1/4 movies, 1/5 have been playing at the theater for more than 3 weeks.

Then the fraction that we want is:

f = (1/4)*(1/5)

f = 1/20

That is the fraction we wanted to get.

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Answer:

Mai can buy 36 / 4.5 = 8 tickets.

The multiplication equation representing this situation is:

x * 4.5 = 36

The division equation representing this situation is:

36 / 4.5 = x

Where x is the number of tickets.

Answer: 48

Step-by-step explanation:

12 x 4 = 48

This problem can be solved using a system of equations. Let x be the cost of each box of dog food and y be the cost of each can of cat food.

We know that:

1x + 2y = $23 (You buy 1 box of dog food and 2 cans of cat food)

2x + y = $22 (Your friend buys 2 boxes of dog food and 1 can of cat food)

We can solve for x by isolating x in the second equation:

x = $22 - y

Now we can substitute this value of x into the first equation:

1($22 - y) + 2y = $23

Expanding and solving for y:

$22 - y + 2y = $23

y = $1.5

Now that we know the value of y, we can substitute it back into the equation x = $22 - y to find x:

x = $22 - $1.5

x = $20.5

Each box of dog food costs $20.5 and each can of cat food costs $1.5

The inequality that matches the graph is option B: y≤ 5.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides.

In the graph the line intersecting x at (0,5) is a straight line and not a dotted line.

The dotted line represents the symbol (>,<) and the straight line represents the symbol (≥,≤).

So, 0y>5 and °y<5 are not the equations of the graph.

The slope-intercept form of the equation is -

y = mx + b

The two equations in slope-intercept form are -

y ≥ 0x + 5

y ≤ 0x + 5

Now, substituting the values of x and y in the equation with (0,0)

0 ≥ 0 + 5 = 0 ≥ 5....this is not true

0 ≤ 0 + 5 = 0 ≤ 5...this is true and it covers the origin the graph.

Hence, the equation for the graph is y ≤ 5.

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The total number of ways Zack can plant the flowers is 252 x 120 = 30240.

The number of ways Zack can plant the flowers can be found using combinations. If he wants to plant 10 flowers in each box, and 1 flower in each pot, he needs 5 boxes and 3 pots. The number of ways to choose 5 boxes out of 10 total boxes is C(10,5) = 252. The number of ways to choose 3 pots out of 10 total pots is C(10,3) = 120. So the total number of ways Zack can plant the flowers is 252 x 120 = 30240.

To check this, you can use a brute force method and count all the possible combinations, or you can use mathematical induction. Assume the result holds for n flowers.

If Zack plants one more flower, the number of ways he can plant the flowers increases by the number of ways to choose a box or a pot for the new flower, multiplied by the number of ways to plant the remaining n-1 flowers.

This shows that the result holds for n+1 flowers, so by induction, the result holds for all positive integers n, including 53.

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The equation 4x = 3x is not a valid equation as it is an identity equation. Both sides are equal to each other, regardless of the value of x.

What is an equation in mathematics?

An equation is a statement in mathematics that asserts the equality of two expressions, usually represented by a symbol such as "=". Equations can be used to express relationships between numbers, variables, and other mathematical objects.

The equation 4x = 3x is not a valid equation as it is an identity equation. Both sides are equal to each other, regardless of the value of x.

When you add 2 to both sides, you get:

4x + 2 = 3x + 2

This is still an identity equation and doesn't provide any new information about the value of x, as both sides are equal to each other, regardless of the value of x.

In order to illustrate what happens to x, you need to start with an equation that relates x to some other values. For example, you can start with the equation 2x + 3 = 7. When you solve for x, you get x = 2. This illustrates that when you know the value of the other terms in the equation (in this case, 2 and 3), you can use the equation to determine the value of x.

Hence, The equation 4x = 3x is not a valid equation as it is an identity equation. Both sides are equal to each other, regardless of the value of x.

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The triangle is only an acute triangle if C is the largest Side of the given triangle and c2 b2 + a2 is specified.

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

Given a condition c² < b² + a²

An acute triangle is a type of triangle in which all three internal angles of the triangle are acute. Acute triangles are also called acute-angled triangles

According to Pythagoras' theorem, the triangle is acutely angled if the square of the longest side is less than the sum of the squares of two smaller sides. Let 'a', 'b' and 'c' are the length of sides of a given triangle, in which side 'c' is longest, then the given triangle is acutely angled if c² < b² + a².

therefore, Only if C is the biggest Side of the given triangle and  c² < b² + a² is given then the triangle is an acute triangle.

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Answer: 4 meters per second

Step-by-step explanation: 160 divided by 40 is 4

Answer:Raziel earned 3$ + 30$ = 33$ every week.

In 4 weeks, she earned 33$ * 4 = 132$.

Step-by-step explanation:

Raziel earned 3$ + 30$ = 33$ every week.

In 4 weeks, she earned 33$ * 4 = 132$.