3. In the diagram below the grey shapes have the same area. Work out the value of x.​

Answer:

answer is c

Step-by-step explanation:

5x+2=10

0.68 is a rational number and the reason is because:

0.68 can be regarded as a rational number because it is a finite number that is also a fraction of two whole integers. In this case, the integers are 68 and 10. Another feature by which rational numbers are known is the fact that they are repeating in nature.

However, it is important to note that the decimal here is terminating in nature because it has a finite number of zeros behind the number 8. So, the reason for selecting 0.68 as a rational number is that it terminates.

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Answer:

its d i got it right

Step-by-step explanation:

y value of the kilo

 y =  (1/1000) x

imagine

x = 20

y = x / 1000

20 / 1000 = 0.020

The range of x values that define the expression is known as the domain. The collection of all legal y values constitutes the range. To determine the range, use the graph.

How are domain and range determined?

The Equation's Domain and Range in order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)

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We have that the area of the infield is 81 in2.

This area is a square, which means it has equal sides, and its area is:

If the area of the square is 81 in2, we have that:

So the side of the infield is 9 inches.

Answer:

32°

Step-by-step explanation:

Angle A + angle B = angle ACD

Since it is an isosceles triangle angle a = angel b

2(2x + 16) = 5x +24  distribute the 2

4x + 32 = 5x + 24  Subtract 4x from both sides

32 = x + 24  Subtract 24 from both sides

8 = x

Now plug in 8 for x in 2x + 16

2(8) + 16

16+ 16 = 32

When 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2

Consider the number as x

Square of the number = [tex]x^{2}[/tex]

12 subtracted from the square of a number = [tex]x^{2} -12[/tex]

4 times the number = 4x

Then the equation will be [tex]x^{2} -12=4x[/tex]

Rearrange the terms and it will become a quadratic equation

[tex]x^{2} -4x-12=0[/tex]

Split the middle term and solve the equation

[tex]x^{2} +2x-6x-12=0[/tex]

Take common terms

x(x+2)-6(x+2) = 0

Take common term outside

(x-6)(x+2) = 0

Therefore

x = 6, -2

The negative solution is -2

Hence, when 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2

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Answer: No, 6 boxes will give you 288 penicils.

Step-by-step explanation: 1 box is 48 penicils, so if use this to the other boxes (4x48) we get 192. Now with six boxes (6x48) we get 288.

The mean and median of the data are equivalent and the value is 6.

The mean (average) of a data set can be calculated by adding up all the numbers in the collection and dividing by the total number of values in the set.

Let us find the mean of the data set :

mean =  (4 + 5 + 6 + 7 + 8) ÷ 5 = 30÷ 5 = 6

Median = 6 middle value.

Therefore the mean and median are equivalent.

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Answer:

oh ok hope you got the answer

Step-by-step explanation:

Answer: I think the answer is $1.21

Step-by-step explanation: Instead of 3 pairs it says 3 dozen. A dozen is 12.

3 x 12 = 36

Then you should do 43.56 / 36

For one pair of gloves it should be $1.21

The contractor got $14.52 because he did a dozen (12) divided by 43.56.

I hope that helps! ^^

Answer:

x

Step-by-step explanation:

2x + 5 + 7x = 8x -11  Combine like terms

9x + 5 = 8x -11  Subtract 8x from both sides of the equation

x + 5 = -11  Subtract 5 from both sides of the equation.

x= -16

Answer: -16

Step-by-step explanation:

2x+5+7x = 8x-11 simplifies into 9x+5 = 8x -11.

Move 8x to the other side - put like terms together : 9x-8x+5 = -11

Which is simplified into x+5 = -11

Move 5 to the other side to isolate x: x = -11 -5

Combine -11 and -5

x = -16

The hang time is calculated to be a. 1.5 seconds if the vertical component of velocity for the projectile is 7.3 meters/second.

The formula for the height of the projectile can be used to calculate the hang time as follows;

h = ut - 0.5at²

here;

h is the height of the projectile

u is the velocity = 7.3 m/s

a is the acceleration due to gravity

The standard value of acceleration due to gravity is equal to 9.81 m/s²

The height will be zero both the times when t=0 and when the journey has been completed

Now adding these values to the formula;

h = ut - 0.5at²

0 = 7.3t - 0.5(9.81)t²

Solving for t;

4.905t² = 7.3t

4.905t² / t = 7.3

4.905t = 7.3

t = 7.3 / 4.905

t = 1.49 ≈ 1.5

Therefore; the hang time is calculated to be 1.5 seconds.

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Answer:

There are many numbers, but here are three

4.11, 4.12, 4.13

Step-by-step explanation:

The two values or x of roots of the polynomial are

[tex]x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}[/tex]

This is further explained below.

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Generally, the equation for polynomial the is mathematically given as

x^2 - 11x + 13

Therefore

We know that,

[tex]x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}[/tex]

Here,

a=1

b=-11

c=13

Putting the values,

[tex]x=\frac{-(-11) \pm \sqrt{(-11)^2-4 \times 1 \times 13}}{2 \times 1} \\[/tex]

[tex]&=\frac{11 \pm \sqrt{121-52}}{2} \\\\&=\frac{11 \pm \sqrt{69}}{2} \\[/tex]

Therefore

[tex]x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}[/tex]

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If A=[-9,0,3,-1] b=[0,4,-6,2] , so the order of matrix A+B is 4x1(4 rows and 1 column).

Matrix, a set of number arranged in rows and column so as to form a rectangular array. The number are called the elements, or entries, of the matrix .

Both data and mathematical equations can be represented by the numbers in a matrix. Multiplying matrices can provide quick but accurate approximations of considerably more complex calculations in many time-sensitive engineering applications.

The elements of the matrix are nothing but the entries of the matrix.

So according, To the question we are adding matrix A which is 4 rows and 1 column to matrix B which is also of 4 rows and one column obtaining a third matrix that has also 4 rows and 1 column :

 [-9,0,3,-1]+[0,4,-6,2]=[-9,4,-3,1]

The resultant A+B is also of 4 rows and 1 column

Hence the order of matrix A+B is 4x1 (4 rows and 1 column)

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Answer:

J(18)-9

Step-by-step explanation:

j times 18 minus 9

The final balance that will be in the account of Latisha is $10.

A checking account simply means the account that makes use of a check. It is usually used by business owners.

From the information, Latisha has $40 in her checking account, she makes a withdrawal of $20 and then writes a check for $40 and then she deposits $30.

The appropriate operations to find the balance will be:

= 40 - 20 - 40 + 30

= 10

She will have $10 left. Note that a withdrawal is subtraction.

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The value of k in the equation, k over 22.8 equals 6.9, is 157.32.

The given equation is:

k / 22.8 = 6.9

In order to determine the value of k, multiply both sides of the equation by 22.8.

Multiplication is one of the basic mathematical operation. It is the operation that is used to determine the product of two or more numbers by adding a number with another number repeatedly over a number of times. The sign that represents multiplication is ×.

(k / 22.8) x 22.8 = 6.9 x 22.8

k =  157.32.

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Answer: I think 43

Step-by-step explanation:

Draw on a graph out the points and then add up the middle of your shape.

Your welcome!

Considering the definition of prime numbers, the sum of the first 11 prime numbers is 129.

Prime numbers are those that are only divisible (when divided by another gives an integer) between themselves and 1. That is, prime numbers are those numbers, greater than 1, that only admit themselves and the number as divisors. number 1.

The first 11 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.

So their sum is:

sum= 2 +3 +5 +7 +11 +13 +17 +19 +23 +29

sum= 129

Finally, their sum is 129.

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Answer:

Step-by-step explanation:

-2=3/2(0)+5

The roots of the given equation are:

Get roots of equation, 2x² + 26 = 0:

Divide both sides by 2:

Finding square roots on both sides:

So, the roots of the equation are x = ±i√13.

Therefore, the roots of the given equation are:

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Answer:

[tex]36r^2+56r[/tex][tex]36r^2+56r[/tex]

Step-by-step explanation:

First simplify [tex]-4r(-11r+2r-14)[/tex] into [tex]-4r(-9r-14)[/tex] by adding the terms with common variable r together,

then expand into the answer

Answer:

-36r^2 - 56r

Step-by-step explanation:

Answer:

D. [tex]\sqrt{27}[/tex]

Step-by-step explanation:

A, B, and C are all perfect squares being square rooted. This means that they will all result in whole numbers.

For example: A.   [tex]\sqrt{9}=3[/tex]

However, D.         [tex]\sqrt{27}=3\sqrt{3}[/tex], which is not rational because it contains an unsimplifiable square root (sqrt 3)

Answer:

√27

Step-by-step explanation:

√9 = 3

√81 = 9

√36 = 6

√27 = not whole number