What is the value of r in the equation below? Give your answer as a
decimal.
10r - 1.5 = 12.5
3

Answer:

Q-(1,1)       L-(1,-2)       G-(4,-4)

Step-by-step explanation:

becuase

He took 7.616 hours for victory at the speed of 131.3009 and cover 1000 miles.

What is distance?

The distance between two sites is the length of the route. The metre is the SI unit for distance.

What is speed?

The speed at which an object’s location changes in any direction. The distance travelled divided by the time it took to travel that distance is how fast something is moving.

What is time?

The amount of time that something happens, goes through a process, or remains the same.

Speed= 131.3009 mph

Total distance= 1000 miles

Speed = distance/ time

time= distance/ speed

time= 1000/131.3009

(nearest thousandth means round off upto 3 decimal places)

time= 7.616 hours

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Thus, the scale factor by which he increased his screen size is 3:2

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Given, the pixel of Mike's old calculator = 96 pixel

His new calculator has pixels = 144 pixel

Scale by which it increased = New pixels/Old pixel

= 144p/96p

= 3:2

Thus, the scale factor by which he increased his screen size is 3:2

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The complete model will be;

⇒ 0.5 × 0.1 = 0.05

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A 10 by 10 grid is shown.

And, 5 columns and 1 row are shaded.

Now,

Since, 5 columns and 1 row are shaded.

Hence, The complete model will be;

⇒ 0.5 × 0.1 = 0.05

Thus, The complete model will be;

⇒ 0.5 × 0.1 = 0.05

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The degrees of freedom in the denominator of the f-statistic calculation is 2.

The number of distinct bits of information required to construct a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df.

For the stated question-

degrees of freedom df = n - 1

n = 3 groups

df = 3 - 1

df = 2

Thus, the degrees of freedom in the denominator of the f-statistic calculation is 2.

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Answer: 28.

Step-by-step explanation:

If 40% of the teachers in attendance at the school staff meeting were first-year teachers, that means 28 of the teachers in the meeting were first-year teachers.

Answer:

28

Step-by-step explanation:

We first would need to figure out what %10 of 70 is.

%10 of 70 is equal to 7.

Now that we have this answer, we can multiply 7 by 4 to get the number of teachers.

7 × 4 = 28

28 first year teachers were in the meeting.

Step-by-step explanation

:We have to prove that (a + b + c)³ - a³ - b³ - c³ = 3(a + b ) (b + c) (c + a).

Considering LHS,

LHS : (a + b + c)³ - a³ - b³ - c³

= [(a + b + c)³ - a³] - (b³ + c³)

Using the algebraic identity,

a³ - b³ = (a - b)(a² + b² + ab)

(a + b + c)³ - a³ = ((a + b + c) - a)((a + b + c)² + a² + (a + b + c)a)

Using the algebraic identity,

(x + y + z)² = x² + y² + z² + 2(xy + yz + zx)

= (b + c)(a² + b² + c² + 2(ab + bc + ca) + a² + a² + ab + ac)

= (b + c)(3a² + b² + c² + 3ab + 2bc + 3ac)

Using the algebraic identity,

a³ + b³ = (a + b)(a² + b² - ab)

b³ + c³ = (b + c)(b² + c² - bc)

So, [(a + b + c)³ - a³] - (b³ + c³) = (b + c)(3a² + b² + c² + 3ab + 2bc + 3ac) - [(b + c)(b² + c² - bc)]

= (b + c)[3a² + b² + c² + 3ab + 2bc + 3ac - (b² + c² - bc)]

= (b + c)[3a² + b² + c² + 3ab + 2bc + 3ac - b² - c² + bc]

= (b + c)[3a² + 3ab + 3bc + 3ac]

= (b + c)[3(a² + ab + bc + ac)]

= (b + c)[3(a(a + b) + c(b + a)]

= (b + c)[3(a + c)(a + b)]

= 3(a + b)(b + c)(a + c)

= RHS

The answers are 1) Distributive property 2) Combining like terms 3)    Subtraction property of equality 4)  Subtraction property of equality 5)  Subtraction property of equality

An identity is an equality that holds true regardless of the values chosen for its variables. They are used in simplifying or rearranging algebra expressions.

Given; 4x-2(3+2x) = 2x+11

1) 4x-6-4x = 2x+11 = Distributive property

2) 4x-4x-6 = 2x-11 = Combining like terms

3) -6 = 2x-11 = Subtraction property of equality

4) -17 = 2x = Subtraction property of equality

5) -8.5 = 2 =  Subtraction property of equality

Hence, the answers are 1) Distributive property 2) Combining like terms 3)    Subtraction property of equality 4)  Subtraction property of equality 5)  Subtraction property of equality

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The number of songs and games Jenna bought is 9.5 and 2.5 respectively.

let

x + y = 12

1.99x + 3.99y = 18.88

From (1)

x = 12 - y

Substitute into (2)

1.99x + 3.99y = 18.88

1.99(12 - y) + 3.99y = 18.88

23.88 - 1.99y + 3.99y = 18.88

- 1.99y + 3.99y = 18.88 - 23.88

2y = -5

y = -5/2

y = 2.5

Substitute into (1)

x + y = 12

x + 2.5 = 12

x = 12 - 2.5

x = 9.5

Therefore, Jenna bought 9.5 songs and 2.5 games.

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Answer:

48 minutes

Step-by-step explanation:

6 : 16 = 18 : x

x = 16 * 18 / 6

x = 16 * 3

x = 48

Answer:

140 hamburgers

Step-by-step explanation:

to find the answer we must first use a let statement and write an equation

let x = hamburgers

hamburgers * 2 is cheeseburgers and added together that is 420

so

x + 2x = 420

now solve

3x = 420

x = 140

140 hamburgers were sold

Answer:

Step-by-step explanation:

240 divided by 3= 80

80+80=160

160 hamburgers sold altogether on Wednesday.

Answer: 4

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]3^2 + x^2 = 5^2\\\\9+x^2=25\\\\x^2=16\\\\x=4[/tex]

Answer:

Step-by-step explanation:

1000-520=480

480/6=80

x+6+520=1000 (-6)

x+514=1000

x=486

The given expression can be simplified using the arithmetic operation as 0.00080987.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The given problem can be written in terms of expression as,

42 ÷ 51860

It can be solved as follows,

The number of digits in 51860 is 5 and in 42 is 2.

In order to divide the two numbers, the dividend should be greater than the divisor.

Therefore, multiply both 42 and 51860 by 10000 to obtain,

(42 × 10000) ÷ (51860 × 10000)

⇒ 420000 ÷ (51860 × 10000)

Now, first divide  420000 by 51860 to get,

420000 ÷ 51860 = 8.0987

Then, divide 8.0987 by 10000 to get,

8.0987 ÷ 10000 = 0.00080987

Hence, the required result of the given expression is 0.00080987.

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If each unit on the grid represent 25 feet, then the perimeter of the factory is 1000 feet

Each unit on the grid represent 25 feet

The length of the side w1 = 3 × 25

= 75 feet

The length of the side N1 = 13 × 25

= 325 feet

The length of the side E1 = 7 × 25

= 175 feet

The length of the side S1 = 5 × 25

= 125 feet

The length of the side W1 = 4 × 25

= 100 feet

The length of the side S2 = 8 × 25

= 200 feet

The perimeter of the factory = 75 + 325 + 175 + 125 + 100 + 200

Add the terms together

= 1000 feet

Therefore, the perimeter of the factory is 1000 feet

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Answer:

G = -32

Step-by-step explanation:

Answer:

8 is the answer

Considering the climate of the North Pole, Alaska, we have seen that the change in the Temperature is 13°F and 14 °F respectively on the 1st and last day of the month respectively.

From records, we know that Alaska usually has an average low temperature of 9°F and an average high temperature of 22°F in January.

However In February,  Alaska's temperature usually ranges from an average low temperature of 12°F to an average high temperature of 26°F.

Thus, we can find the change in Temperature:

On 1st day of January , the Change in temperature is;

ΔT = Highest Temperature - lowest temperature

ΔT = 22°F - 9°F

ΔT = 13°F

On the 1st day of February, and then the last day of January, the change in temperature is;

ΔT= Highest Temperature -  lowest temperature

ΔT = 26°F -  12°F

ΔT = 14 °F.

The hardest part will be to take take care of the animals since most of the animals only require a warm, secure, as well as protected area to reside in addition to sufficient food, drink, and exercise.

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Answer:30,000 meters

Step-by-step explanation:

Answer:

30km

Step-by-step explanation:

to find 10% you divide 100km by 10= 10km

to find the full 30% simply divide 10% by 3 which will give you 30km.

The decimal 0.000000836 in scientific notation is 8. 36 × 10^-7

Scientific notation can be defined as a way of expressing numbers too small or too large to be conveniently written in decimal form.

It is also referred to as standard index form,  standard form and scientific form.

It is commonly used for complex calculations with lengthy numbers.

It is also described as a method of expressing numbers in the terms of a decimal number that is between 1 and 10, and not 10 itself multiplied by a power of 10.

Given the decimal;

0.000000836

In scientific notation, it is written as;

8. 36 × 10^-7

The power is negative because the zeros are counted towards the right side.

Hence, the value is 8. 36 × 10^-7

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Answer:

Step-by-step explanation:

B is the answer

Create a line from-6,-5 to the x axis to -6 and draw a line from -1,3 down to x axis because that is your domain. Make sure to look at your open circles or closed circles at end of the line, if closed there are block brackets, If open then it is parenthesis. If it is a coordinate it is curly brackets. So therefore the answer is B

The elevator's rate of travel in meters per second is 2m/s and 1/2 s/m is in seconds per meter.

A division is a process of splitting a specific amount into equal parts.

Given,

An elevator in the Seattle Space Needle can rise 100 meters in 50 seconds,

We need to find the elevator's rate of travel in meters per second and in seconds per meter

To find in meter per second we just need to divide 100 by 50 seconds

100/50=2 m/s

To find in seconds per meter we just need to divide 50 by 100

50/100=1/2s/m

Hence, the elevator's rate of travel in meters per second is 2m/s and 1/2 s/m is in seconds per meter.

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The result of 45.8*10^3 is going to be 45800. Using mental math, 45.8*0.1 will be 4.58.

A set of abilities known as mental math enable people to perform calculations "in their heads" without the aid of paper and pencil or a calculator. Recalling math information, such as 8 x 5 = 40, is one of these abilities. Rounding numbers and estimating calculations are additional abilities. Mathematical calculations made solely with the human brain, without the aid of any materials or tools like a calculator, are referred to as mental calculations. When computing tools are not available, when mental calculation is quicker than other methods, or even in a competitive setting, people may use it.

Here,

45.8*10³=45800

45.8*0.1=4.58

The value of 45.8*10³ will be 45800. The value of 45.8*0.1 will be 4.58 using mental math.

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Answer:

if you want the volume of the outer cube with the other cube in it, it would be 48. if you want it without the cube its 120. the inside cube is 72.

Step-by-step explanation:

Answer:

48 mm³

Step-by-step explanation:

Outer prism:

5 mm by 4 mm by 6 mm

V = LWH = 5 × 4 × 6 mm³ = 120 mm³

Inner prism:

4 mm by 3 mm by 6 mm

V = LWH = 4 × 3 × 6 mm³ = 72 mm³

Difference:

120 mm³ - 72 mm³ = 48 mm³

If there is another element of the same set between any two members of a set, we can say that the set is dense.

We'll show that the first choice—3.14 and pi—is the right one.

To prove that the set of irrational numbers contains a lot of real numbers, we must first discover an irrational number that lies between two specified real numbers.

In order to extend this to the real set, which is the union of irrational numbers and rational numbers, we should be able to find an irrational number between a rational number and an irrational number (or between an irrational number and a rational number). This is because we know that irrational numbers are dense (between two irrational numbers we can find another irrational number).

The first option, which has one of each, will then be the right choice.

Pi is irrational, while 3.14 is rational.

Finding an irrational number between these two indicates that the real set contains many irrational numbers.

(Note that the third option likewise has an irrational and a rational number, but the first one, [tex]e^{2}[/tex], is larger than the second one[tex]\sqrt{54}[/tex], thus it is written wrongly; for this reason, we did not choose it.)

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The rate of increase in stock price is $ 0.10 per hour.  

To calculate the rate of increase we need to know the increased amount per given time period

In this problem, we will calculate the stock price per given hour from that will calculate the rate of increase in a given situation.

Here we have

The price (in dollars) of a stock tracked from noon to three on a given day is shown by the function f(t) = 0.1(t - 2)³ + 6 where t is in hours.  

Take t = 1

=> f(1) = 0.1(1 - 2)³ + 6

= 0.1(-1)³ + 6

= 0.1(-1) + 6

= - 0.1 + 6

= 5.9

Take t = 2

=> f(2) = 0.1(2 - 2)³ + 6

= 0.1(0)³ + 6

=  6

Take t = 3

=> f(3) = 0.1(3 - 2)³ + 6

= 0.1(1)³ + 6

= 0.1 + 6

= 6.1

The rate rate of increase = f(3) - f(2) = 6.1 - 6 = 0.1 ≅ $ 0.10

Therefore,

The rate of increase in stock price is $ 0.10 per hour.

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The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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Probability of drawing bad potatoes = 0.1

The probability of drawing a bag with bad potatoes is less than 1.

The probability of drawing a bag with good potatoes is greater than 0

The probability of drawing a bag with bad potatoes as a decimal .

The probability is 20% which means 20 by hundred , which means there is a chance of being its ok.

probability of bad potatoes = 2/20

=1/10

=0.1

To find the probability of the outcomes = Number of favourable outcome / Number of total outcome.

Probability of event 1 and 2

probability of event 1 =Number of favourable outcome / Number of total outcome.

probability of event 2 = 1 -( probability of event 1)

probability of good potatoes = 1- ( probability of bad potatoes)

Probability of the given event( probability of the bad potatoes = 1-(0.1)

Thus,

Probability of the bad potatoes in the 2 of the bags are=0.9

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Answer:  -2 < x < 1

Step-by-step explanation: