Divide the following and then check by multiplying.
48,845
405

Answer:

924.95 %

Step-by-step explanation:

9.2495 x 100% = 924.95 %

The probability of selecting number 4 or smaller numbers 2 / 5 .

Probability of event to happen P(E) = variety of favourable outcomes/Total variety of outcomes

We have given number from 1 to 10.

The number which are smaller than four and equal to 4 = 4

Total number of outcomes = 10

Probability = 4 /10

                 = 2 / 5

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The answer is 18 months as per the asked question and visible graph

Step-by-step explanation:

Find $900 and follow the horizontal line until it touches the red tilted line

As soon as it touches the red line, go down vertically and find where the line leads you and voila, it leads you to 18 months!

Answer:

The answer would be m.

Step-by-step explanation:

The point would be (7,1)  If you look at the top two points, (3,5) and (10,5)  You can see that the y coordinates are the same.  They are both 5.  So on the bottom left (0,1) we know that are n will be 1 .  Now we have to figure out m.  If we look on the top (3,5) (10,5)  We can see from the x's 10 and 3, that they are a distance of 7 apart.  Since our bottom left hand corner is (0,1)  If we add 7 to 0 we get 7.  That makes m equal  7

Answer:

1,700

Step-by-step explanation:

5x10^-7 is 0.0000005, while 8.5x10^-4 is 0.00085

0.00085/0.0000005=1700

Thus5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

Option C is the correct answer.

Given,

5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex]

We need to find how many times smaller is 5 x [tex]10^{-7}[/tex] than 8.5 x [tex]10^{-4}[/tex].

Exponents are the power of a given number.

Example: a²

a - base

2 - exponent

Compare 5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex].

5 x [tex]10^{-7}[/tex]  can be written as 5 / 10000000

8.5 x [tex]10^{-4}[/tex] can be written as 8.5 / 10000

Now,

5 / 10000000 = 0.0000005

8.5 / 10000 = 85 / 100000 = 0.00085

We see that,

0.0000005 is less than 0.00085

Now,

0.0000005 x 1700 = 0.00085

5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

We can also write as:

5 x [tex]10^{-7}[/tex] x 17 x 10 ²  

= 5 x 17 x [tex]10^{-7}[/tex] x 10²

= 85 x [tex]10^{-7 + 2}[/tex]

= 85 x [tex]10^{-5}[/tex]

= 85/10 x 10 x [tex]10^{-5}[/tex]

= 8.5 x [tex]10^{-5 + 1}[/tex]

= 8.5 x [tex]10^{-4}[/tex]

Thus 5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

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The value of AC  = 4x + 5.

A variable is defined as any property, number, or amount that can be counted or measured.

Even despite their different operations, adding and subtracting variables follow the same rule: once adding or subtracting terms with the identical variables, you either add and otherwise subtract the coefficients and leave the result with the variable.

       2a + 5a + 4a = 11a

        11a – 5a – 4a = 2a

Similarly with the question;

AB = x+9, BC = 3x-4

AC = AB + BC

AC  = x + 9 + 3x - 4

Add the variable and constant part separately.

AC  = 4x + 5

Thus, the value of AC is found as 4x + 5.

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Answer:

less than

Step-by-step explanation:

|-5| is 5 so -|-5| is negative 5 (-5)

-5 is less than 5

The simplified fraction is [tex]\frac{1}{9^{20} }[/tex].

The fraction is [tex]\frac{9^{4} }{9^{24} }[/tex], we have to solve the fraction in the simplest form

[tex]\frac{9^{4} }{9^{24} }[/tex]

[tex]9^{4-24}[/tex]

As we know that, [tex]a^{m}[/tex]/[tex]a^{n}[/tex]= [tex]a^{m-n}[/tex]

[tex]9^{-20}[/tex]

1/[tex]9^{20}[/tex]

Therefore the simplified value is 1/[tex]9^{20}[/tex] which is in the form of a fraction.

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The value of c is 4.

Here, we are given an equation

2c - 12c + 13c = 12

Since, all the terms on the left hand side have a c in them, we can take it common outside the bracket as follows-

c (2 - 12 + 13) = 12

or c (2 + 13 - 12) = 12

Firstly, we add the positive terms in the bracket which will give us

c (15 -12) = 12

Now, we subtract 12 from 15 to get

c (3) = 12

or 3c = 12

Dividing by 3 on both sides we get

c = 12/3

c = 4

Thus, the value of c is 4.

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Your question was incomplete. Find the full content below-

Solve for c.

2c-12c+13c=12

Answer: 28,5 grams of cocoa

Step-by-step explanation:

[tex]\frac{62*46}{100}[/tex]

1. The number of edible portions (EP) is 64.

2. The food cost per portion = $0.75 per portion.

The number of edible portions can be determined by first converting the case weight in pounds into ounces.

There are 16 ounces in a pound. 20 pounds will equal 320 ounces by multiplication (16 x 20).

Then, divide 320oz by 5oz to determine the number of portions.

Yield:                      90%

Purchase Unit:       10 boxes = 1 case

Case Weight:        20 lbs

Case Cost:           $48.00

Portion Size:         5oz

1lb = 16oz

20lbs = 320oz (20 x 16)

Edible portions (EP) = 64 (320oz/5oz)

Food cost per portion = $0.75 per portion ($48/64).

Thus, the number of edible portions is 64 with the food cost per portion as $0.75.

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The number of passengers that he will give tours to on his bus is 486 passengers.

From the information, the charter tours bus driver can fit an average of 54 passengers on his bus for each tour and he is scheduled to run 9 tours over the next month.

The number of passengers that he will be able to carry will be:

= 54× 9

= 486

There'll be 486 passengers.

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The number of pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue is; 360 pounds

Let the number of pounds of cashews be x.

Now, we are told that A nut store normally sells cashews for​ $4.00 per pound. Thus;

Cost of x pounds of cashews = $4x

He wants to mix the above with 90 pounds of peanuts and sell the mixture for $3.5 per pound. Thus, the equation here is;

((90 * 1.5) + (4x))/(x + 90) = 3.5

135 + 4x = 3.5(x + 90)

135 + 4x = 3.5x + 315

4x - 3.5x = 315 - 135

0.5x = 180

x = 180/0.5

x = 360 pounds of peanuts

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since W is the midpoint, that simply means that both halves are twins, so

[tex]V\stackrel{9x+7}{\rule[0.35em]{10em}{0.25pt}} W\stackrel{16x - 28}{\rule[0.35em]{10em}{0.25pt}} Y \\\\\\ \stackrel{VW}{9x+7}~~ = ~~\stackrel{WY}{16x-28}\implies 7=7x-28\implies 35=7x\implies \cfrac{35}{7}=x \\\\\\ \boxed{5=x}\hspace{5em}\stackrel{VW}{9(5)+7\implies 52}\hspace{5em}\underset{52~~ + ~~52}{\stackrel{\textit{\LARGE VY}}{104}}[/tex]

The length of segment VY, represented by "a," is 25x - 21.

To find the length of segment VY, we can use the fact that W is the midpoint of VY. The midpoint of a line segment divides it into two equal parts. Therefore, the length of VW plus the length of WY equals the length of VY.

Let VY be represented by "a." Then, according to the midpoint property:

VW + WY = VY

Substitute the given expressions for VW and WY:

(9x + 7) + (16x - 28) = a

Now, combine like terms:

25x - 21 = a

So, the length of segment VY, represented by "a," is 25x - 21.

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a) Dot product: recall that

i • i = j • j = k • k = 1

i • j = i • k = j • k = 0

Then

a • b = (i + 2j - 7k) • (5i - 2j + 4k)

a • b = 5 (i • i) - 4 (j • j) - 28 (k • k)

a • b = 5 - 4 - 28

a • b = -27

b) Cross product: recall that

i × i = j × j = k × k = 0

i × j = -(j × i) = k

j × k = -(k × j) = i

k × i = -(i × k) = j

Then

a × b = (i + 2j - 7k) × (5i - 2j + 4k)

a × b = -2 (i × j) + 4 (i × k) + 10 (j × i) + 8 (j × k) - 35 (k × i) + 14 (k × j)

a × b = -12 (i × j) - 6 (j × k) - 39 (k × i)

a × b = -6i - 39j - 12k

c) Recall the dot product identity

x • y = ||x|| ||y|| cos(θ)

We have

||a × b|| = √((-6)² + (-39)² + (-12)²) = 9√21

Then the direction cosines α, β, γ of a × b are

(a × b) • i = ||a × b|| ||i|| cos(α)

⇒   cos(α) = -6/(9√21) = -2/(3√21)

(a × b) • j = ||a × b|| ||j|| cos(β)

⇒   cos(β) = -39/(9√21)

(a × b) • k = ||a × b|| ||k|| cos(γ)

⇒   cos(γ) = -12/(9√21) = -4/(3√21)

d) a × b is perpendicular to both a and b, so we can get a unit vector by scaling this down by its magnitude. This is the same as the vector of direction cosines:

(a × b)/||a × b|| = (-6i - 39j - 12k)/(9√21)

(a × b)/||a × b|| = -2/(3√21) i - 39/(9√21) k - 4/(3√21) k

1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.

2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.

En este problema tenemos el caso de dos piscinas de diferente capacidad, la primera piscina tiene una capacidad de 240 000 litros de agua y la segunda piscina tiene una capacidad de 160 000 litros de agua. Ambas cuenta con un desagüe que desaloja a una tasa de 500 litros de agua por cada minuto de operación.

El tiempo total de vaciado es igual a volumen de la piscina dividido por la tasa de vaciado, entonces:

Piscina grande (V = 240 000 L, Q = 500 L / min)

t = V / Q

t = (240 000 L) / (500 L / min)

t = 480 min

Piscina pequeño (V = 160 000 L, Q = 500 L / min)

t = V / Q

t = (160 000 L) / (500 L / min)

t = 320 min

1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.

2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.

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Answer:

0.01

Step-by-step explanation:

Nearest hundredth is the second digit after the decimal point.

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit.

The amount of money Nancy has is $12.5.

Given that, Steve has $5. Nancy has 250% as much money as Steve.

We need to find out how much money Nancy has.

A specific portion or amount in every hundred is what is meant by the term percentage. It is a fraction with the denominator 100, and the symbol for it is "%."

Let the amount of money Nancy has to be x.

Now, x=250% of 5

=250/100 × 5

=2.5 × 5

=12.5

Therefore, the amount of money Nancy has is $12.5.

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Answer:

49

Step-by-step explanation:

0.3 tonnne=300 kilograms

In the given question mass is given in tonne and we have to convert it into tonne.

Among the SI base units, the kilogram (kg) is the only one whose name and symbol, for historical reasons, include a prefix. "Kilo" the SI prefix for 1000 or 103. Names and symbols for decimal multiples and submultiples of the unit of mass are formed by attaching prefix names to the unit name "gram," and prefix symbols to the unit symbol "g."

To calculate a tonne value to the corresponding value in kg, just multiply the quantity in tonne by 1000 (the conversion factor). Here is the formula:

Value in kg = value in tonne × 1000

Suppose you want to convert 0.3 tonne into kg. Using the conversion formula above, you will get:

Value in kg = 0.3 × 1000 = 300 kg

final answer is 0.3 tonne=300 kilograms.

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The answer is [tex]-28b^4c^2+20b^6c^8-32bc^8[/tex]  without parentheses .

To write this expression without parentheses, each term inside the parentheses must be multiplied by the term outside the parentheses.

[tex]-4bc^2(7b^3-5b^5c^6 +8c^6)=(-4bc.7b^3)+(4bc^2.5b^5c^6)-(4bc^2.8c^6)\\-4bc^2(7b^3-5b^5c^6 +8c^6)=-28b^4c+20b^6c^8-32bc^8[/tex]

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The value of the functions are:

f(2) = 9

f(2) = -11

Use the concept of fucntion defined as:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given function is,

f(x) = 4x+1

Put x = 2 in the given fucntion,

f(2) = 4(2) + 1

f(2) = 9

Put x = -3 in the given fucntion,

f(2) = 4(-3) + 1

f(2) = -11

Hence, The functions,

f(2) = 9

f(2) = -11

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Answer:

5250.

Step-by-step explanation:

Consistent = Population of deer increases 5% each year.

This year = 5000

105% of 5000 = 5250

Answer:

The answer is $21,854. 35

Step-by-step explanation:

rate = 14.2%

Time = 3 years

Value = 34600

V = (1-r)^t

V=34600(1-0.142)^3

V=34600 (0.858)^3

V=$21,854.35

The position of town B in cartesian plane is 6.4 cm in 1st quadrant at an angle of 70°.

As per the question statement, we are given that a diagram which shows the position of town A and the scale of 1 cm representing 10 km.

Town B is 64 km from town A on a bearing of 070°. We are supposed to tell the position of town B.

Let's assume that town A lies at origin in cartesian plane and as 1 cm represents 10 km therefore,

[tex]1cm = 10 km\\1 km = 0.1 cm\\64 km = 64*0.1=6.4 cm[/tex]

The town B is 6.4 cm from the origin and as the angle is given as  70° so the position of town B is in 1st quadrant.

Therefore the position of town B is 6.4 cm in 1st quadrant at an angle of 70° when town A lies at origin in the cartesian plane.

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Answer:

Step-by-step explanation:

83.9

Slopes vs. gradients vs. % grades

Slope

Angle (degrees) Gradient Grade (%)

40 1 83.9

41 1 86.9

42 1 90.0

Answer:

domain: {3,6,9}

range: {1,4,9}

Step-by-step explanation: take the x values in increasing order for domain and the y values in increasing order for range. Do not repeat values.

The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

High sample size is typically crucial in order to be able to draw generalizations from a sample, aside from avoiding bias. Since the sample size is modest, it will thus be possible to draw general conclusions about the study utilizing a larger sample, in my opinion.

The size of the sample has a significant impact on whether an experiment is legitimate. The central limit theorem states that as sample size rises, the sample mean approaches the population means value.

Because of this, generalizing from just five samples regarding a population of city dwellers won't produce a result that can be generalized.

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Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54