g less than the quotient of 7 and 8​

Cary's and Dan's present ages are 44 and 35 years respectively.

Let the Dan's present age be x years.

According to the given question.

Cary is 9 years older then Dan.

And, after seven years the sum of their ages will be 93.

So, from the given conditon we can say that

cary's age = 9 + x

And after seven years, sum of the ages of Cary and Dan

9 + x + 7 + x + 7 = 93

⇒ 23 + 2x = 93

⇒ 2x = 93 - 23

⇒ 2x = 70

⇒ x = 70/2

⇒ x = 35

⇒ Dan's present age is 35 years.

Therefore, Cary's age = 35 + 9 = 44 years.

Hence, Cary's and Dan's present ages are 44 and 35 years respectively.

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Answer: Devon would have -6 dollars left

Step-by-step explanation:

Answer:

x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 23.

Answer:

C

Step-by-step explanation:

Answer:30

Step-by-step explanation:because 30 is a multiple and factor of 30.

The vertical distance of helicopter from the ground is equal to 2000 / 3 m.

Let the distance between the two planes A and B be x.

In △ ADC, we get that:

tan 60° = 2000 / y

√3 = 2000 / y  ...(1)

Now, in △ BCD, we get that:

tan 30° = 2000 - x / y

1 / √3 = (2000 - x) / y    ... (2)

Divide (1) from (2):

3 = 2000 / (2000 - x)

6000 - 3 x = 2000

3 x = 6000 - 2000

3 x = 4000

x = 4000 / 3

(2000 - x) = 2000 - 4000/3 = 2000 / 3

Therefore, the vertical distance of helicopter from the ground is equal to 2000 / 3 m.

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A n B = {2,4,6,8}

The intersection of Sets :

The intersection of sets for two given sets is the set that contains all the elements that are common to both sets. The symbol for the intersection of sets is "∩''. For any two sets A and B, the intersection, A ∩ B (read as A intersection B) lists all the elements that are present in both sets, and are the common elements of A and B.

Intersections of sets have properties similar to the properties of numbers. The properties of the intersection of sets include the commutative law, associative law, the law of null set and universal set, and the idempotent law. The following table lists the properties of the intersection of sets.

Name of Property/Law Rule

Commutative Law A ∩ B = B ∩ A

Associative Law (A ∩ B) ∩ C = A ∩ (B ∩ C)

Law of ϕ and U ϕ ∩ A = ϕ , U ∩ A= A

Idempotent Law (A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

(A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

Important Notes:

(A ∩ B) is the set of all the elements that are common to both sets A and B.

If A ∩ B = ϕ, then A and B are called disjoint sets.

n(A ∩ B) = n(A) + n(B) - n(A ∪ B)

Given :

A = {1, 2, 3, 4, 5, 6, 7, 8, 9}

B = {2, 4, 6, 8, 10, 12}

Find :

A n B = {2,4,6,8}

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Based on the given parameters, the value of y in the figure is 13

The measures of the angles are given as:

Angle 1 = 8y

Angle 2 = 6y - 2

The angles are supplementary angles

So. we have

8y + 6y - 2 = 180

Evaluate the like terms

14y =182

Divide both sides by 14

y = 13

Hence, the value of y in the figure is 13

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The number of vehicle administered by department A only = 18

The number of vehicle administered by department B only = 8

The number of vehicle administered by department C only = 1

Given data

50 vehicles belong to an enterprise that has three departments, A, B and C

6 vehicles are available for the use of all three departments

2 vehicles give service to neither of the departments

24 vehicles are administrated by department B

16 of the 24 used by B are also used by the others departments

There are twice as many vehicles in department A as there are in department C.

equal numbers of vehicles are allocated when used by any two departments

number of vehicles on department A = 2 * number of vehicles in department C.

say A = 2C

B = 24

let x represent the number of vehicles used by any two departments

16 of the 24 used by B are also used by the others departments and equal numbers of vehicles are allocated when used by any two departments hence

16 = 2x + 6

2x = 16 - 6

2x = 10

x = 5

B only = 24 - 2x - 6 = 18 - 2x = 18 - 10 = 8

A only = A - 2x - 6 = 2C - 10 - 6 = 2C - 16

C only = C - 2x - 6 = C - 10 - 6 = C - 16

adding up all the vehicles as allocated to get to the sum of 50

24 - 2x - 6 + A - 2x - 6 + C - 2x - 6 + x + x + x + 6 + 2 = 50

24 - 6 - 6 - 6 + 6 + 2 - 2x - 2x - 2x + x + x + x + A + C = 50

24 - 10 - 6x + 3x + 2C + C = 50

14 - 3x + 3C = 50

3C - 3X = 50 - 14

3C - 3(5) = 36

3C - 15 = 36

3C = 36 + 15 = 51

C = 17

C only

C only = C - 16

C only = 17 - 16

C only = 1

A only
A only = 2C - 16

A only = 2 * 17 - 16 = 34 - 16 = 18

The number of vehicle administered by department A only = 18

The number of vehicle administered by department B only = 8

The number of vehicle administered by department C only = 1

The number of vehicle administered by department A = 2C = 34

The number of vehicle administered by department B = 24

The number of vehicle administered by department C = 17

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The equivalent expression is,

''Negative two over fifteen times x plus two''

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

We have to given the expression as;

''One fifth times the quantity 3 times x plus 10 end quantity minus 11 over 15 times x''

Now, Write in mathematical expression as,

⇒ [tex]\frac{1}{5} (3x + 10 ) - \frac{11}{15} x[/tex]

We can solve it as,

⇒ [tex]\frac{1}{5} (3x + 10 ) - \frac{11}{15} x[/tex]

⇒ [tex]\frac{3}{5} x + \frac{10}{5} - \frac{11}{15} x[/tex]

⇒ [tex]\frac{3}{5} x - \frac{11}{15} x+ 2[/tex]

⇒ [tex]\frac{-2}{15} x + 2[/tex]

Hence, It can be written as;

⇒ Negative two over fifteen times x plus two.

Therefore, The equivalent expression is,

''Negative two over fifteen times x plus two''.

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The number which represents the third change made to the account according to the task content is; -60.

According to the task content, the second change was the opposite of the first, -60.

Hence, the second change is; +60 which is the additive inverse.

Ultimately, since the third change was the opposite of the second, it follows that the third change is; -60.

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Answer:

Step-by-step explanation:

Answer:

Variance = 25

Step-by-step explanation:

I'm smart

Answer:

its 63 you got it right

Step-by-step explanation:

Step-by-step explanation:

Here,

angle B = 3 x angle A

angle C = 6 x angle A - 16

now, for a triangle,

angle A + angle B + angle C = 180

or, angle A + 3 x angle A + 6 x angle A - 16 = 180

or, 10 x angle A = 196

so, angle A = 19.6 degrees

angle B = 3 x 19.6 = 58.8 degrees

angle C = 6 x 19.6 - 16 = 101.6 degrees

Answer:

4 × 10^6

Because 10^6 = 100,000

Answer:

4×10^6

Step-by-step explanation:

you write a non zero digit which is 4 placing your decimal after the first non zero digit ..then you count the no. of digits you need to move the beginning decimal to get to where your decimal is ...or to use a scientific calculator to make it simple

Answer:

Q1 = 8

Hope this helps with your question :)

The line at the start of the "box" is Q1, the middle line in the "box" is the median also called Q2, and the last line of the "box" is Q3.

Answer:

Are there options you forgot to put on the question?

Step-by-step explanation:

An addition equation for calculating volume is = 12 units cube.

The fundamental addition formula, sometimes known as the mathematical equation of addition, is as follows. The addends are 5 and 3, and the sum is 8. It should be noted that an addition fact can have many addends. For instance, 5 + 7 + 9 + 3 = 24.

Volume refers to the amount of space occupied by a 3D shape. The volume of a shape can be calculated by multiplying its height, breadth, and depth. If somehow the shape is made using cubic cm blocks, the volume can be calculated by counting the cubes.

Total no. of cubes  = 12

length of the one cube = 1 unit

So,

volume of the given prism = l x b x h

volume of one prism = 1 unit^3

There are 12 cube are present on adding all the units we get

volume of total cubes are  = 12 unit cube.

So,

The volume is  = 12 unit cube.

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Answer:

Step-by-step explanation: Let x be the smaller and y be the largest number.

Since x+y=13, we deduce y=13-x

Now, for the translation: "two more than the larger number" is y+2 , while "twice the smaller" is 2x

Their sum is y+2+2x

And since we know that y=13-x, we have y+2+2x=13-x+2+2=15+x

Answer:

-1

Step-by-step explanation:

make it equal to zero

-9y - 9 = 0

add 9 to both sides

-9y = 9

divide both sides by -9 to get y alone

y = 9/-9

simplify

y = -1

The cost of gas in England is 96.4 pound sterling/liter is 549.1185 U.S. dollars/gallon

The cost of gas in England is 96.4 pound sterling/liter.

3.875 liters = 1 gallon

1 liter = 1/3.875 gallon

1.47 US$= 1 pound sterling

pound sterling / liter = 1.47/(1/3.875)) U.S. dollars/gallon

                                   = (1.47)(3.875) U.S. dollars/gallon

96.4 pound sterling / liter = (96.4)(1.47)(3.875) U.S. dollars/gallon

                                         = 549.1185 U.S. dollars/gallon

Sterling is the arena's oldest forex that is still in use and that has been in continuous use due to the fact that its inception.

it is presently the fourth maximum-traded currency in the forex market, after the USA dollar, the euro, and the Javanese yen.

collectively with the ones 3 currencies and Renminbi, it paperwork the basket of currencies which calculate the price of IMF unique drawing rights. As of mid-2021, sterling is likewise the fourth most-held reserve forex in international reserves.

these kinds of currencies are government-issued fiat currencies.

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Answer:-5

Step-by-step explanation:

5*5*5=125

-5*-5=25

25*-5= -125

or

3√-125

The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Answer:

y = -2x + 10

Step-by-step explanation:

Answer: D': (-7, -1)

E': (-6, -1)

F': (-6, -10)

G': (-7, -10)

Step-by-step explanation:

In a 90 degree clockwise rotation about the origin for this rectangle, the x and y coordinates of the rectangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening to the 3rd quadrant, where both the x and y values will be negative.

D: (1, -7) ==> (-7, 1) ==> D': (-7, -1)

E: (1, -6) ==> (-6, 1) ==> E': (-6, -1)

F: (10, -6) ==> (-6, 10) ==> F': (-6, -10)

G: (10, -7) ==> (-7, 10) ==> G': (-7, -10)

The values of x, y, and z. The diagram is not to scale.

This is further explained below.

Generally, Angle in a triangle is 180^{\circ}

Therefore

45+68+x=180

x=180-(45+68)

x=67

The angle on a line is also 180^{\circ}

x+z =180

67+z =180

z =180-67

z =113

In conclusion

180=113+12+y

-180-(113+12)=y

y=55

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According to the solving the simplified value of the equation 1/(x^4)^-2 is

= x⁸.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction and is the main rule for simplifying expressions.

Simplification seems to be the process of substituting a mathematical expression with a simpler, usually shorter counterpart.

Designers employ simplification to make designs more memorable and instantly recognizable in logos, emblems, posters, computer icons, as well as other design applications.

Given :[tex]\frac{1}{\left(x^4\right)^{-2}}[/tex]

On simplifying we get:

Use  (aⁿ)ˣ  = aⁿˣ

so we get:

[tex]\frac{1}{X^{(4)(-2)}}[/tex]

=[tex]\frac{1}{x^{-8}}[/tex]

Use a⁻ⁿ = 1/aⁿ

Now:

= [tex]\frac{1}{\frac{1}{x^8}}\\=x^8[/tex]

According to the solving the simplified value of the equation 1/(x^4)^-2 is

= x⁸

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