A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time, walk toward each other, and meet in 5 hours. The turtle walks 10 meters per hour slower than the hedgehog. It the turtle had left home 4.5 hours earlier than the hedgehog, the two have me 150/ from the hedgehog's house. Find the distance between the garden and the woods.

Volume of earth in shape of a sphere is 1 Trillion km^3 i.e. D.

What is a sphere?

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere. Examples of spheres are a ball, a globe, the planets, etc.

Volume of sphere=4/3πr^3. where r=radius.

Surface area=4πr^2.

Now,

Given radius for earth=6371 km

so, Volume of earth=4/3*3.14*6371^3≈1Trillion km^3.

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Answer:

25 lawns

Step-by-step explanation:

To do this:

first create a ratio

5 L: 8 H

? L : 40 H

Then solve:

you can do this two ways

1. cross multiply

40*5=8?

200/8 = 25

2. divide

40/8 = 5

5*5 = 25

Hope this helps:)

Answer:

Step-by-step explanation:

if the bill was 51.48

and the tip        6.69

51.48/6.69=100/x where x= the % tip

x=(6.69*100)/51.48=13

x=13% tip

9514 1404 393

Answer:

  13%

Step-by-step explanation:

The tip percentage is the ratio of the tip to the bill, converted to a percent.

  tip/bill × 100%

  = $6.69/$51.48 × 100% ≈ 12.995% ≈ 13%

Claudia left a 13% tip.

Note that in any sine function :

Amplitude = A

Verical Shift or midline = D

Period = (2π)/B

Horizontal or Phase Shift = C

From the given,

since we dont have any horizontal shift, C = 0.

Amplitude = 5, so A = 5

Midline = 4, so D = 4

and

Period = 3/2, so equating it to (2 π)/B

Now, substituting the values obtained, the sine function will be :

Answer:

50-(5×8)

Step-by-step explanation:

brainliest please

The answer is X=3, ur welcome :)

Answer: 3

Step-by-step explanation:

3(5x-2) - 3x = 30

15x - 6 - 3x =30

15x -3x = 30 + 6

12x = 36

X= 36/ 12

X = 3

Answer:

Below.

Step-by-step explanation:

A=2(wl+hl+hw)=2·(3.15·6.2+4·6.2+4·3.15)=113.86yd²

The surface area of the rectangular prism will be 113.86yd²

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called as the surface area.

Given that:-

prism with a height of 4 yards

A length of 6.2 yards

A width of 3.15 yards.

The surface area of the prism is given as:-

A  =  2 ( wl + hl + hw)

A  =  2·[  (  3.15· x 6.2 ) +  ( 4·6  x  2 )  +  ( 4·3  x  15  )  ]

A  = 113.86  yd²

Hence the surface area of the rectangular prism will be 113.86yd²

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Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

It is 31:5

Step-by-step explanation:

Hope this helped have an amazing day!

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will always be equal of the width of the paper. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is   \(\frac{b\times h}{2} \), where b is the base and h is the height.

As we previously found, for this question, the

base = height = width of the paper = 5cm

Now, we just have to calculate it with the formula

\(Area = \frac{base \times height}{2} \\\\ \\ Area = \frac{5 \times 5}{2} \\ \\ Area = \frac{25}{2}\\ \\ Area = 12.5 cm^{2} \)

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45000 tiles we need to fill a room with area 1080 m²

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

Area of floor =1080m²

Base of parallelogram shaped tile (b) =24 cm

and corresponding height (h)=10 cm

Area of one tile=b×h

=24×10

=240 cm²

=240/10000=24/1000 m²

Number of tiles required=1080/(24/1000)

=1080×1000/24

=45000 tiles

Hence, 45000 tiles we need to fill a room with area 1080 m²

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Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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slope-intercept form:

y = mx + b

Where:

m = slope

b = y- intercept

We can use the point slope form:

y - y1 = m(x - x1)

Where:

x1= -5

y1 = 3

m = -6

Replacing the data:

y - 3 = -6(x -(-5))

y - 3 = -6x - 30

Solving for y:

y = -6x -30 + 3

y = -6x - 27

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.

When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.

Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.

To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.

y = 2060 - 0.186(4594)

y = 2060 - 848.424

y = 1211.576

So the predicted full rear repair cost would be $1211.576

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Answer:

$1,206

Step-by-step explanation:

Answer:

When -3v = -18 is solved, the result is:

21v

The result of this mathematical sentence is v=6

First degree equation is a mathematical sentence - having at least one unknown. Its representation is given by ax + b = 0. To calculate an equation, as it is in the expression in the statement, simply: isolate x and divide the second to the first member.

*Note: Equal signs, the result will be equated as positive.

-3v = -18

v = -18/-3

v = 6

Therefore, the correct value of this equation is v = 6.

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Is true.

wksnsksndksndks

Answer:

Equation is x^2-100=0

Step-by-step explanation:

I'm assuming everything is in standard form. Just plug in the values.

1(x)^2+(0)x+(-100)=0

0 times x is 0, so it simplifies to

x^2-100=0

Problem

Solve the compound inequality and give your answer in interval notation.

3(2x – 7) – 12 >= 12x- 75

OR

– 3x + 10 > – 5x – 6

Solution

For this case we can solve the inequalities on this way:

6x -21 -12 >= 12x -75

We can subtract 6x in both sides and we got:

-3 >= 6x -75

-6x >= -72

x<=12

5x-3x +10 >-6

2x > -6 -10

2x> -16

x> -8

And the solution would be:

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

What each part of the expression represents in the context of the problem include the following:

An algebraic expression is a mathematical equation that can be used for showing the relationship which exist between two or more variables, numerical quantities, as well as in conjunction with different mathematical operations.

In Mathematics, a coefficient simply refers to a constant numerical value (number or numeral) that written before the variable in any algebraic expression.

Given the following algebraic expression:

0.07r + (r – 20)

In the context of fixing David’s broken watch, the variable r represents the original cost of the repair while 0.07r most likely represents the amount of money charged as tax. Lastly the expression (r – 20) represents the discount on fixing David’s broken watch.

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This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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The domain and range of the given graph is \([-3,-2) \sqcup (-1,5]\) and \([-5,4)\) respectively .

From the graph , we can see that the left most point is when x = -3 and this point is closed in endpoint, so we will include this value of x in the domain.

Whereas its another point is on x = -2 which is not filled up so , we will not consider this value of x in the domain. In the interval , domain can be represented by \(-3\leq x < -2\)  .This interval can be written as \([-3,-2)\)

Now , the right most point is when x = 5 which is filled up so we will include this value of x in the domain. Whereas it's another endpoint is at x = - 1 , we will not consider this value of x in the domain as it is not filled up. In the interval , domain can be represented by \(-1 < x\leq 5\) .This interval can be written as \((-1,5]\) .

In order to get the full domain of the function we will use union symbol

 \([-3,-2) \sqcup (-1,5]\)

For the range , we will observe the values of y . The lowest point is when y = -5 which is filled up so we will include this value of y in the range.

Whereas the highest point is when y = 4 which is not filled up so , we will not consider this value of y in the range . In the interval , range can be represented by \(-5\leq y < 4\) .Since there are no gaps in the range, we don't use any union symbols here and hence range is \([-5,4)\)

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The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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