A tree in Teresa's backyard grows 0.7 meters each month. If the tree is 3.43 meters tall, for how many months has the tree been growing?

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

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$.

This looks like a test. I'm sorry, I can't help you. But if this is homework, I'll be happy to help!

Using the Pythagoras theorem, the value of line segment RQ denoted as x is option C: 20 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

According to the diagram given -

ST = 9 units and TQ = 16 units.

Δ SRQ and Δ STR are equal and congruent as RT is perpendicular to hypotenuse SQ.

From similar triangles,

Δ SRQ ⩭ Δ STR ------(1)

{∵ RT 丄 Hypotenuse SQ}

Similarly, Δ SRQ and Δ RTQ are equal and congruent Δ SRQ, Δ STR and Δ RTQ  are similar right-angled triangles.

Δ SRQ ⩭ Δ RTQ ------(2)

{∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}

So, this gives that the sides -

SR/ST = SQ/SR = RQ/TR

SR/9 = 25/SR = x/TR

SR² = 25 × 9

SR = 5 × 3 = 15

Now, applying the Pythagoras theorem -

SR² + RQ² = SQ²

RQ² = SQ² - SR²

RQ² = 25² - 15²

RQ = √(625 - 225)

x = RQ = √400

RQ = 20 units

Therefore, the value of x is obtained as 20 units.

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The area of the garden is calculated from the area of the rectangle which has a value of 15x + 19.5

The area of a rectangle is calculated by multiplying the length of the rectangle by its width. The formula is:

Area = length x width

In the given question, we can simply calculate the area of the walkway by subtracting one variable from the other.

Area of walk way = area (walkway + garden) + area (garden)

Area of walk way = (5x + 7) + (10x + 12.5)

Area of walk way = 5x + 7 + 10x + 12.5

Area of walk way = 15x + 19.5

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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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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

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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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

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

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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Lines a and b have the same slope.

What is a slope?

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on a straight line, a slope can be determined using a variety of approaches.

Here, we have

Given: Line a passes through the points (-1, 2) and (3, 4).

Line b passes through the points (-5, 0) and (3, 4).

We find the slope of both lines and we get

Line a has points (-1, 2) and (3, 4).

Slope = (y₂ -y₁)/(x₂ -x₁)

m = (4 - 2) / (3+1)

m = 2/4

m = 1/2

Line b has points (-5, 0) and (3, 4).

Slope = (y₂ -y₁)/(x₂ -x₁)

m = (4 -0)/(3+5)

m = 4/8

m = 1/2

Hence, lines a and b have the same slope.

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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.

Answer:

3^[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The equation that can be used to determine the cost price of the book is y = x- 45x/100

Percentage decrease is the difference between starting and ending values. It shows a loss of value from the original expressed as a percentage regardless of units. The amount of decrease is the original amount minus the final amount.

Let represent the original value by x

the cost of the book is 45% original price = 45/100 × x = 45x /100 = 9x/20

therefore if we represent the new cost by y

Therefore the new cost of the book = x - 45x/100

Therefore the equation the could be used to determine the selling price is y = x -45x/100

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Answer: 48

Step-by-step explanation:

12 x 4 = 48

Using a graphing tool, the y-intercept is located at (0,-5) Plot the intercepts and join them to graph the line.

5x - 2y = 10.

Discover the x-intercept.

Keep in mind that the value of x when the value of y is equal to zero is the x-intercept.

5x - 2(0) Equals 10 for y = 0 and x = 2.

5x = 10

The point is the x-intercept (2,0)

Discover the y-intercept.

Keep in mind that the value of y when the value of x is zero is the y-intercept.

y = - 5 for x = 0 5(0) - 2y = 10 - 2y = 10

Using a graphing tool, the y-intercept is located at (0,-5) Plot the intercepts and join them to graph the line.

danielle plans to graph the linear equation 5x-2y=10 is  (0,-5).

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On solving the provided question, we can say that volume of cylinder v = 4.13 * 10*10*5 = 2065 cubic units  

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

here, we have

r = 10

h = 5

so volume v = 4.13 * 10*10*5 = 2065 cubic units  

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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

Answer:I think its

12.

Step-by-step explanation:

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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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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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

Answer: 4 meters per second

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

The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.

The number of outcomes is available in Boulder will be

→ 2 x 2

→ 4

The number of outcomes is available in Sarasota will be

→ 3 x 2

→ 6

The number of outcomes is available in Boulder and Sarasota will be

→ 4 + 6

→ 10

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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 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 cost of paper for the reports is $21.48.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A long year-end status report for work is 160 pages long.

You need to print 18 copies for a meeting next week.

So, the number of pages

= 160 x 18

= 2880 pages.

Now, the cost for those reports

= 2880 / 500 x 3.73

= 5.73

= $21.48

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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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Answer:45*15=675 his monthly payment is 675

Step-by-step explanation:It's an easy question to be honest all you have to do is 30,000/2,000=15 and then multiply 45*15=675