The mean age of 6 women in an office is 24 years old.
The mean age of 9 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?

Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

Answer:

maybe 2 minutes?

Step-by-step explanation:

not sure im so sorry!

Answer:

76 messages

Step-by-step explanation:

532 divided by 7 = 76

Answer:

76 Texts

Step-by-step explanation:

Amount of texts/Days = 532/7 = 76

Answer:

a

Step-by-step explanation:

Answer: (-1,3) ; (-2,6)

Step-by-step explanation:

The solution would be where the two graphs intersect or touch (where the line and the parabola intersect or touch).

Look at the two dots on the plane, where the line and parabola intersect--those are the answers.

Answer:

x=41

Step-by-step explanation:

so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:

a^2+b^2=c^2

so:

9^2 +40^2=c^2

solve for the exponents:

81 +1600=c^2

1681=c^2

and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41

hope this helps :)

Answer:

P maybe

Step-by-step explanation:

Answer:

1.6$

Step-by-step explanation:

6.4/4=1.6

Answer:

1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/ total = 3/6

simply 1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/total =3/6

simply 1/2

Answer:

252 cm^3

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula:

V = lwh

We can substitute in the values to get:

V = 7 x 12 x 3

V = 252 cm^3

Answer:

Use a calculator

Step-by-step explanation:

Step-by-step explanation:

stay safe healthy and happy.

Answer: C

Step-by-step explanation:

Answer:

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

Answer:

No

Step-by-step explanation:

Given :-

And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.

Pythagoras Theorem :-

Here the two smallest sides are 4 & 6 .

Sum of Squares of 4 and 6 :-

[tex]:\implies[/tex] 4² + 6²

[tex]:\implies[/tex] 24 + 36

[tex]:\implies[/tex] 60

Square of 7 :-

[tex]:\implies[/tex] 7²

[tex]:\implies[/tex] 49

And :-

Hence the triangle is not a right angle triangle.

Answer:

No, this triangle is not a right triangle.

Step-by-step explanation:

Step 1: Definition(s)/explanations

Formula:

[tex]pt-a^2+b^2=c^2[/tex]

[tex]legs=a,b[/tex]

[tex]hypotenuse=c[/tex]

Step 2: Solve.

Now, I just plug the numbers into the formula.

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+6^2=7^2[/tex]

[tex]16+36\neq 49[/tex]

If the legs of the triangle do not equal the hypotenuse, then the triangle cannot be a right triangle.

Step 3: Conclude.

Therefore, the triangle cannot be a right triangle.

Answer:

Your answer is B

Step-by-step explanation:

The rule for angles is that 115 and the angles right next to it, the ones that form the x, will equal 180. That means all you have to do is 115-180=65.

Another rule is that the interior angles of a triangle will be 180, so you add the angles we know in each triangle, 80+65+angle 1 = 180. If you do this correctly you should get angle 1 to be 35. Then you repeat on the opposite side except this time the angles are 85+65+angle 2 = 180. If you do this one correct you should get 30. Which makes your answer B.

Sorry if this is confusing the book will have better explanations than I can give.

Answer:

Step-by-step explanation:

Answer:

It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one

The Equation for a sine graph is ASin[B(x-C)] + D

A=Amplitude

B= 2π/period

C= c value at the starting point.

D= y value at starting point

Let your Starting point be at the sinusoidal axis (Max + Min)/2.

Looking at this graph

Let's take 1cm on the y axis to be 1unit(1,2,3,4...)

On the x axis... let's take 1cm to be π units(π,2π,3π....)

To get the sinusoidal axis Max - Min/2

Since 1cm is 1unit

Max =1 (from the graph)

Min= -1

1-1/2 = 0

The axis is at the center of middle

Meaning

D=y=0(Its directly at the x axis)

From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.

A=amplitude = 1cm

B=Period...(Time to complete one Oscillation)

It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10

B=2π/Period.

B=2π/19/10

B=2π x 10/19

B=20π/19

C=0

Writing the Equation

Y= 1Sin[20π/19(x-0)] +0

ie

Y = Sin [20πx/19]

My thoughts on it

Correct me if wrong... Thanks

Answer:

The surface area of the parallelogram is;

2x^3 -6x^2 - 14x +24 squared centimeters

Step-by-step explanation:

To get the area of the parallelogram, we need to multiply the base length of the parallelogram by the height of the parallelogram

We have this as follows;

(x-4)(2x^2+2x-6)

= x(2x^2 + 2x-6) -4(2x^2 + 2x-6)

= 2x^3 + 2x^2 - 6x -8x^2 -8x + 24

= 2x^3 +2x^2 -8x^2 -6x-8x+24

= 2x^3 -6x^2 - 14x +24

It would be 20 hours

Step-by-step explanation:

let me know if I am wrong thxs

Answer:

[tex]5(x + 10)(10x - 3)[/tex]

Step-by-step explanation:

We are factoring

[tex]50x^{2} + 485x - 150[/tex]

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

[tex]5(x + 10)(10x - 3)[/tex]

Answer:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

Step-by-step explanation:

we would like to factor out the following expression:

[tex] \displaystyle {50x}^{2} + 485x - 150[/tex]

notice that, in every term there's a common factor of 5 thus factor it out:

[tex] \displaystyle 5( {10x}^{2} + 97x - 30)[/tex]

now we have to rewrite the middle term as sum or substraction of two different terms in that case 100x-3x can be considered:

[tex] \displaystyle 5( {10x}^{2} + 100 - 3x - 30)[/tex]

factor out 10x:

[tex] \displaystyle 5( 10({x}^{2} + 10)- 3x - 30)[/tex]

factor out -3:

[tex] \displaystyle \rm 5( 10x({x}^{} + 10)- 3(x + 10))[/tex]

group:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

and we are done!

hence,

our answer is B)

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!

Answer:

Ok

Explanation:

Answer:

The answer is B.

Step-by-step explanation:

You simply just simplify the expression. When you do this you get x to the third, 2x squared, and 4x. I hope this helps!!

Answer:

B

Step-by-step explanation:

x*x*x=x^3 (x cubed)

x*x=x^2 (x squared)

We CAN'T add up x's here.

They're from different families.

So, B is correct:)

Answer:

you on iready?

Step-by-step explanation:

Answer:

Can you reattac the picture because I can’t see it then I will be able to help u

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

Answer:

C:reflection accross the x axis

Step-by-step explanation: