Solve -1/5 [3 - 12 (1/3)^2]
PLEASE HELP QUICK

Answer:

2/15

Step-by-step explanation:

A percent is a number given out of 100

13 1/3% basically is 13 1/3 | 100

You divide and you get 40/3 x 1/100

Simplify by 20 = 40/300 simplify again and you get 2/15.

0.0030  is the probability that you will​ win .

In statistics, what does a probability mean?

Here order of selection is important, so we will use permutation.

Total number of ways to choose 3 horses out of 8 = 8P3 = 8! / (8 - 3)! = 336

P(win) = 1/336 = 0.0030

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Answer:

55%

Step-by-step explanation:

Ans                        

65.25 Step-by-step explanation:

The average number of miles she would have to ride each day to meet her goal is 4.7.

It is required to find the average number of miles she would have to ride each day to meet her goal.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles. she rides for 6 more days.

According to given question we have,

8+4x=26

Rearrange unknown terms to the left side of the equation:

4x=26-8

4x=18

Divide 4 on both sides of the equation we get,

4x/4=18/4

x=18/4

x=4.7

Therefore, the average number of miles she would have to ride each day to meet her goal is 4.7.

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Answer:

eueueue

Step-by-step explanation:

The cost to carpet this room area is $2764.8.

What is the area?

Area of room = 32*24 (product is equal to the area of carpet)

Cost of carpet per square foot = $3.6 (three. six)

Cost of carpet = Area of carpet * Cost of carpet per square foot (product)

 = 32 x 24 x 3.6

 = 2764.8

The cost to carpet this room area is $2764.8.

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The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

The reflection does not change the shape and size of the geometry. But flipped the image.

The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.

The diagram is given below.

A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.

Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

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Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.

Given the data in the question, let x represent the length of the first piece.

To determine the length of each piece, we equate the sum of the pieces to the total length of the steel ( 25in ).

x + 2x + ( 5x + 1 ) = 25

3x + 5x + 1 = 25

8x + 1 = 25

8x = 25 - 1

8x = 24

x = 24/8

x = 3

Hence,

Length of first piece = x = 3 inch

Length of second piece = 2x = 2(3) = 6 inch

Length of third piece = 5x + 1 = 5(3) + 1 = 15 + 1 = 16 inch

Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.

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Answer:

D) Dilation and reflection.

→ The shape was dilated by -1.

→ This shape was then reflected upside down.

Dilating a shape is the act of making a shape smaller by a scaled amount. Dilation is useful in mathematics when you need to determine difference in shapes' scales factors.

Reflection is mirroring a shape to its opposite image. For instance, I have triangle ∠ABC', which is facing right. I then reflect this image, and it becomes triangle ∠ABC", which now faces left on the opposite axis.

Answer: She can use 4 gigabyte while remaining in her budget.

Step-by-step explanation:

You would first subtract 54  from 70 which leaves you with 16,

Then you would divide 16 by 4 to find how many gigabytes she could use which gives you 4

So she can use 4 gigabyte while remaining in her budget.

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Answer: Answer is 3

Step-by-step explanation:

let the maximum number of gigabytes of data is x

total budget is  $70

then, flat cost is $54 and $5per gigabyte

we get:

54 +5 × x= 70

5x =70 - 54

x = [tex]\frac{16}{5}[/tex]  = 3.2 ≈ 3

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Answer: There are 80 people in the 6th grade

Step-by-step explanation:

Answer:

8370/ 62: 135

62/8370: 0.007

Step-by-step explanation:

Answer:

[tex]8^{20}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](8^5)^{4}[/tex] = [tex]8^{5(4)}[/tex] = [tex]8^{20}[/tex]

Answer:

it's easy if you set your mind to it, think about it angain

Answer:

[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

Step-by-step explanation:

If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover

If the distance between the two places is d, distance left =(3/4) . d

In this case, d = 2/3 km

So distance left to cover = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]

We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction

[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]

Dividing both numerator and denominator by 2 gives us

[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]

Answer:
[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

Answer:

96

Step-by-step explanation:

12 colors times 2 possibilities of with or without air conditioning is 24.

24 times two possibilities of with or without automatic transmission is 48.

48 times two possibilities of with or power windows is 96.

96 times two possibilities of with or CD player is 192.

Answer:

See picture below.

Step-by-step explanation:

Answer:

It's answer is..-2/7 and -1/3

Answer: 18.25

Step-by-step explanation:

5.5*4=22

401.5/22=18.25

Answer:

$18.25

Step-by-step explanation:

Since area is given as A=LW, and we are given the values of the dimensions of the floor, we get:

5.5×4=22

So, the area is 22 yards, and it costs $401.5 to carpet it. Now, We simply need to divide the cost by the area to get the "cost per-square yard" as needed in the question. We get:

401÷22=18.25

So, the cost of the carpet per square yard is $18.25

Step-by-step explanation:

parallel means it has the same slope.

the slope of a line is always the factor of x (5 in our case).

so, we have already

y = 5x + ?

we resolve the "?" by using the point coordinates as x and y and solve :

1 = 5×-2 + ?

1 = -10 + ?

? = 11

so, the equation is

y = 5x + 11

The value of the expression 2x - 17 is 3

The expression is given as

-3x + 6 = -24

Subtract 6 from both sides

-3x = -30

Divide both sides by -3

x = 10

Multiply by 2

2x = 20

Subtract 17 from the sides

2x - 17 = 3

Hence, the value of the expression 2x - 17 is 3

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Number of hours Aviva's work for gross earnings of $662.30 for a week with regular rate of $10.80 per hour for 35 hour week and 1.5 of regular pay for overtime is 52.6hours.

Given,

Gross earning for week=$662.30

Regular rate per hour for 35hour week=$10.80

Overtime rate=1.5×(10.80)

For 'h' number of hours

(10.80×35)+(10.80×1.5) h=$662.30

⇒378 +16.20h=662.30

⇒h=284.30/16.20

⇒h≈17.6hours

Number of hours Aviva's work=35 +17.6

                                                  =52.6hours

Therefore, number of hours Aviva's work for gross earnings of $662.30 for a week with regular rate of pay $10.80 per hour for a 35 hour week and 1.5 of regular pay for overtime is 52.6hours.

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Step-by-step explanation:

1 i think becoz if you shift it will become x= 2 so on putting it on eq. we will get 1

Answer:

Step-by-step explanation:

F(x) = 3x-5

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

3x-6-5

3x-11

0 = 3x-11

11=3x

11/3 = x

The answer would be x = 11/3 or 3.67 I believe.

The equation is; y = 7/2x

We know that we could be able to obtain the equation by the use of the equation is a straight line. The general form of the equation of a straight line is given as y = mx +c

The first thing that we must do is to obtain the slope of the graph from;

m = y2 - y1/x2  x1

m = 45 - 15/6 - 2

m = 7/2

The graph begins at origin hence c = 0

y = 7/2x

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Answer:

it is negative 12

Step-by-step explanation:

-12

Answer:

-12

Step-by-step explanation:

The maximum number of cubical boxes of side 1 feet that can be placed in a rectangular closet of length 6 feet, height 9 feet and breadth 5 feet is 270 boxes. Maximum number of boxes that can be placed along the length, height and breadth will be 168 boxes, 198 boxes and 150 boxes respectively.

Since the cube shaped boxes of length 1 feet are to be placed in the rectangular closet, the maximum number of boxes that will fit completely would be given as a comparison of volume of rectangular closet being equal to product of number of boxes and volume of 1 cubical box.

Volume of rectangular closet = Number of boxes * Volume of 1 cubical box

6 * 9 * 5 = n * (1*1*1)

Therefore, n = 270 boxes.

To calculate maximum number of boxes that will fit along the length would be calculated as product of length and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (6*5) + (6*5)] = 168 boxes along the length.

Similarly, to calculate maximum number of boxes that will fit along the height would be calculated as product of height and breadth along 2 faces of closet and length and height along another 2 faces of closet.

Thus, [(9*6) + (9*6) + (9*5) + (9*5)] = 198 boxes along the height

Similarly, to calculate maximum number of boxes that will fit along the breadth would be calculated as product of height and breadth along 2 faces of closet and length and breadth along another 2 faces of closet.

Thus, [(5*6) + (5*6) + (9*5) + (9*5)] = 150 boxes along the breadth.

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a) The greatest common factor is 3. And the result is 3 × (6 + 7).

b) The greatest common factor is 7. And the result is 7 × (8 + 5).

In this question we must find the greatest common factor, that is, the maximum integer with which can be divided the two number, and take advantage of this result to simplify the sum of the same two numbers, if possible.

First, we proceed to determine the required results for each of the two cases:

18 = 2 × 3 × 3

21 = 3 × 7

Then, the greatest common factor is 3. The complete procedure is:

18 + 21 = 2 × 3 × 3 + 3 × 7 = 3 × (6 + 7)

56 = 2³ × 7

35 = 5 × 7

Then, the greatest common factor is 7. The complete procedure is:

56 + 35 = 2³ × 7 + 5 × 7 = 7 × (8 + 5)

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