Simplify
2x x y x 3

Answers

Answer 1

which is it
2x times y times 3 = 6xy
or,
2xxyx3= 6x^3y

Answer 2

Final answer:

To simplify 2x * y * 3, multiply the coefficients (2 and 3) and the variables (x and y) separately, resulting in the simplified expression 6xy.

Explanation:

To simplify the expression 2x * y * 3, we can multiply the coefficients and the variables separately. The coefficients are 2 and 3, so their product is 2 * 3 = 6. The variables are x and y, so their product is xy. Putting it all together, the simplified expression is 6xy.

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Related Questions

Point M is the midpoint of AB . AM= 3x+3, and AB=8x−6

What is the length of AM?

The answer is 21 but i don't know the steps to get it. HELP

Answers

AM= Half of AB

or, 3x+3=(8x-6)/2
or, 6x+6=8x-6
or, 2x=12
Therefore,x=6

so,AM=3*6+3=21

Answer:

The length of AM is:

21 units.

Step-by-step explanation:

Point M is the midpoint of AB.

AM= 3x+3, and AB=8x−6

Since, the midpoint divides the line segment into two equal parts i.e. it bisects the line segment.

Hence, we have:

AM+MB=AB

Also, AM=MB

Hence, we have:

[tex]3x+3+3x+3=8x-6[/tex]

on combining the like terms in the left hand side of the equation we have:

[tex]3x+3x+3+3=8x-6\\\\6x+6=8x-6[/tex]

Now, on subtracting both side of the equation by 6x we have:

[tex]6=8x-6-6x\\\\6=8x-6x-6\\\\6=2x-6[/tex]

on adding 6 on both side of the equation we have:

[tex]6+6=2x\\\\12=2x\\\\2x=12\\\\x=\dfrac{12}{2}\\\\x=6[/tex]

Hence, we have:

[tex]AM=3\times 6+3\\\\AM=21\ \text{units}[/tex]

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).

A. 104
B. −246
C. 146
D. 250

Answers

Answer:

Option A is correct

The value of (h ∘ g)(−5) is, 104

Step-by-step explanation:

Given the functions:

g(x) = 2x

[tex]h(x) = x^2 + 4[/tex]

We have to find (h ∘ g)(−5).

[tex](h o g)(-5) = h(g(-5))[/tex] ....[1]

At x = -5

g(-5) = 2(-5) = -10

then

Substitute the g(-5) in [1] we have;

[tex](h o g)(-5) = h(-10)[/tex]

⇒[tex](h o g)(-5) = (-10)^2+4 = 100+4 = 104[/tex]

⇒[tex](h o g)(-5) = 104[/tex]

therefore, the value of (h ∘ g)(−5) is, 104

Rectangle EFGH is translated according to the rule T -5,9(x,y). If the coordinates of the pre-image of point H are(-2,-3) what are the coordinates of H’

Answers

The new coordinates of H would be (-7,6).

Answer: The co-ordinates of the image H' are (-7, 6).

Step-by-step explanation: Given that the rectangle EFGH is translated according to the following rule :

[tex]T_{-5,9}(x,y).[/tex]

We are to find the co-ordinates of the image H' if the co-ordinates of the pre-image H are (-2, -3).

We know that

[tex]T_{h,k}(x,y)=(x+h,y+k).[/tex]

For the given information, we have

(h, k) = (-5, 9) ⇒ h = -5 and k = 9.

Therefore, we get

[tex]T_{-5,9}(-2,-3)=(-2-5,-3+9)=(-7,6).[/tex]

Thus, the co-ordinates of the image H' are (-7, 6).

Factor 64-x^15 in mathhhhgg

Answers

Answer:

Factor of [tex]64-x^{15}[/tex] is [tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]

Step-by-step explanation:

We need to factor the expression [tex]64-x^{15}[/tex]

Re-write the given expression [tex]64-x^{15}[/tex] as;

[tex]4^{3}-(x^{5})^{3}[/tex]

Since, [tex]a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})[/tex]

so, here [tex]a = 4[/tex] and [tex]b = x^{5}[/tex]

[tex](4-x^{5})(4^{2}+4x^{5}+(x^{5})^{2})[/tex]

[tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]

Hence, factor of [tex]64-x^{15}[/tex] is

[tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]

The value of factor of expression 64 - x¹⁵ is,

⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)

We have to given that;

To factor the expression,

⇒ 64 - x¹⁵

Now, We can simplify as;

⇒ 64 - x¹⁵

⇒ 4³ - (x⁵)³

⇒ (4 - x⁵) (4² + 4x⁵ + (x⁵)²)

⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)

Therefore, The value of factor of expression 64 - x¹⁵ is,

⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)

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The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 153°, c = 10, b = 14

Answers

Answer:

The given triangle is possible.

Step-by-step explanation:

Given, the measurement of triangle ABC are,

∠ B = 153°, c = 10, b = 14,

By the law of sine,

[tex]\frac{sin C}{c}=\frac{sin B}{b}[/tex]

By cross multiplication,

[tex]sin C = \frac{c\times sin B}{b}[/tex]

By substituting the values,

[tex]sin C=\frac{10\times sin 153^{\circ}}{14}[/tex]

[tex]sin C=0.324278928386[/tex]

[tex]\implies \angle C=18.9218948147\approx 18.922^{\circ}[/tex]

Since, with help of sin law we found the measurement of the unknown angle of the triangle.

Hence, the given triangle is possible.

Answer:

C = 18.9°, A = 8.1°, a ≈ 4.3

Given right triangle MNO, which represents the value of cos(M)?

a) ON/MN
b) MN/MO
c) ON/MO
d) MN/ON

Answers

The answer would be, B MN\MO HOPE IT HELPS

The option that represents cos M is MN / MO

Using trigonometric ratios, we can find the ratio of sides of a right angle triangle.

Trigonometric ratios:sin x = opposite / hypotenusecos x = adjacent / hypotenusetan x = opposite / adjacent

Therefore,

cos M = adjacent / hypotenuse

cos M = MN / 0M

Therefore, cos M = MN / MO

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A fish tank at an aquarium has a volume of 1,568 cubic feet and a depth of 8 feet. If the base of the tank is square, what is the length of each side of the tank?

Answers

volume = l x w x h

1568 /8 = 196

sqrt(196) = 14

each side is 14 feet

Answer with Step-by-step explanation:

A fish tank is in the shape of cuboid.

It's height is 8 feet

and volume=1568 cubic feet

we know that volume of cuboid=lbh

where l is the length, b is the width and h is the height

The base of the tank is square

i.e. l=b

Volume=l²h

⇒ 1568=l²×8

⇒ l²=196

⇒ l=14

Hence, The length of base of tank=14 feet

width of tank=14 feet

and height=8 feet

Bens date of birth is a prime number between 15 and 25. This number has 57 as a multiple.

Answers

this number would be 19 because 19 is a prime number and 19*3 is 57, making 57 a multiple of 57

The prime factorization of 57 is 3 x 19. Since 19 is the only prime factor of 57 between 15 and 25, it must be 19.

A simple index of three stocks opens the day with these values: The index rises 3.4% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.

Answers

If I am doing the math correctly, the value of the index at the end of the day would be 4. I found this answer by multiplying 3 by 0.34 which equaled 1.02, and when rounded to the nearest hundred, is 1.

Answer:

The value of the index at the end of the day is $45392.6.

Step-by-step explanation:

Given : A simple index of three stocks opens the day with these values:

[name] [number of shares] [price per share]

stock x 5000 shares $4.10

stock Y 2000 shares $4.50

stock z 4000 shares $3.60

The index rises 3.4% over the course of the day.

To find : What is the value of the index at the end of the day? Round your answer to the nearest hundred ?

Solution :

Stock values of x,y and z is given by,

Stock x,

[tex]5000\times 4.10=\$20500[/tex]

Stock y,

[tex]2000\times 4.50=\$9000[/tex]

Stock z,

[tex]4000\times 3.60=\$14400[/tex]

The total amount will be

[tex]A=20500+9000+14400[/tex]

[tex]A=\$43900[/tex]

The index rises 3.4% over the course of the day.

The value of the index at the end of the day is

[tex]V=43900 \times (1+3.4\%)\\V=43900 \times (1+0.034)\\V=43900 \times 1.034\\V= 45392.6[/tex]

Therefore, the value of the index at the end of the day is $45392.6.

A personal trainer makes $25,000 per year and has just begun contributing 6% of his salary to his 401k plan if his employer matches 9% of his contributions how much will have been contributed to the 401k plan after 4 years

Answers

(25,000 x .06) x 1.09 x 4 = answer.

Jane has $1000 that she would like to put in a savings account. The table below shows the balance over time in her account at a local bank.

Based on this model, how much would Jane have in her account after 12 years? Round to the nearest dollar if necessary.

time (years) balance in account
0 1000
1 1080
2 1166.40
3 1259.71
4 1360.49

answers
A.2518
B.2520
C.3000
D.2500

Answers

The answer is C. 3000

b is the answer to your question

Which of the following is the range thanks

Answers

c. Its just the right hand column.:)

Hank draws a line with a zero slope through the points (–2, 4) and (3, b). Which value of b could represent Hank’s second point? –3 –1 4 9

Answers

4
(-2,4)(3,4)

4-4. / 3- -2=. 0/5=0

So the answer is 4

Hope this helped

As per the slope of a line, the value of 'b' is 4.

What is the slope of a line passing through two points?

The slope of a line(m) passing through two points (x₁, y₁) and (x₂, y₂)can be represented as:

m = (y₂ - y₁)/(x₂ - x₁)

Given, the slope of the line is (m) = 0.

Here the given points are (–2, 4) and (3, b).

Therefore, substituting the values, we get:

0 = (b - 4)/[(3 - (- 2)]

⇒ (b - 4)/5 = 0

⇒ b - 4 = 0

⇒ b = 4

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I really really need help with this question! PLEASE!

Answers

Since it's 2x+1 when x>1 (greater than 1) and x² when x≤1 (less than or equal to 1), we can notice that 0 is less than 1 and not greater than 1. Therefore, we plug it into x² to get 0²=0 for f(0). To graph this, it's pretty simple. Simply graph both functions, but when x=1 for x² simply erase everything to the right of it. For 2x+1, do the same thing but for x=1 (1, 3) simply erase everything to the left of it. In addition, since it doesn't have a x=1 value (since it has to be greater than 1), we put a open circle in at (1, 3)

One day a store sold 20 sweatshirts. White ones cost $ 10.95 and yellow ones cost $ 13.50. In all, $262.35 worth of sweatshirts were sold. How many of each color were sold?

Answers

17 yellow sweatshirts were sold and 3 white sweatshirts were sold.

How did I get this?

First, we need to figure out what we know.
20 sweatshirts sold
White sweatshirts $10.95
Yellow sweatshirts $13.50
Total spent $262.35

$10.95W + $13.50Y = $262.35
W + Y = 20 sweatshirts

In both equations, the variables represent the amount of sweatshirts sold, which is unknown, but when we know the amount it will add up to $262.35.

Y = 20 - W so lets substitute that into the first equation

10.95w + 13.50(20 - W) = 262.35
Distribute the 13.50 into the parenthesis.

10.95w + 270 - 13.50w = 262.35
Combine like terms.

-2.55w + 270 = 262.35
Subtract both sides by 270, the left side will cancel out.

-2.55w = -7.65
Divide -2.55 by both sides to isolate the variable.

W = -7.65/-2.55
(W)hite = 3 sweatshirts

Put 3 sweatshirts into our second equations.

Y = 20 - 3
(Y)ellow = 17 sweatshirts

So, 17 yellow sweatshirts were sold and 3 white sweatshirts were sold.

Now, lets check our math by substituting the # of sweatshirts into our first equation.

$10.95(3) + $13.50(17) = $262.35
$32.85 + $229.50 = $262.35
$262.35 = $262.35 (correct!)

Describe the translation from AB TO AB

Answers

→A = (-5,1)

A' = (4,3)

so x moved from -5 to 4 which is an increase of 9

so x+9

y moved from 1 to 3 which is an increase of 2

so y+2

so answer should be:

(x,y) → (x+9,y+2)

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?

Answers

Let x represent the number of pairs of socks purchased,
and let y represent the number of blouses purchased.
socks that cost $2.99 for each pair
and blouses that cost $12.99 each

equation
2.99x + 12.99y = 43.92

Answer:

[tex]2.99x+12.99y=43.92[/tex]

Step-by-step explanation:

Hanna shops for socks that cost $2.99 for each pair.

And blouses that cost $12.99 each.

Let x represent the number of pairs of socks purchased.

Let y represent the number of blouses purchased.

So, the cost for x socks will be [tex]2.99x[/tex]

And cost of y blouses will be [tex]12.99y[/tex]

Total amount spent by Hanna = $43.92

So, the equation that will model this situation will be:

[tex]2.99x+12.99y=43.92[/tex]

How many perfect squares less than 100 have a tens digit of 6?

Answers

only one, 8^2=64
^^^^^^^^^^

A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now

Answers

Charli,

First find what 1/4 of 2/3 is.

1/4 of 2/3 = 1/6

(That is 1/4 times 2/3 = 1/6)

So, the bottle was 2/3 full, it is now ...

2/3 - 1/6

=4/6 - 1/6

= 3/6 or 1/2 full.

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

Hence the bottle is now one half full

Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4X^3=-27/4

Answers

We can start by separating the x^3, and that means we have to multiply both sides by 4, resulting in x^3=27. Next, we can find the cube root of both sides ( as x is the cube root of x^3), getting x=3

Answer:

x=3

Step-by-step explanation:

Mr. Lewis sees a red light ahead and applies the brakes on his car. The car travels 300.5 feet before coming to a stop. For each foot the car travels during this time, its speed changes by −0.2 miles per hour.

What is the total change in the car's speed during that time?

a) -36.15
b) -60.1
c) 60.10
d) 36.15

Answers

multiply 300.5 feet by -0.2 mph

300.5 * -0.2 = -60.1 change

What is 0.182 rounded to the 2 decimal point?

(2dp)

Answers

0.182 rounded to the 2 decimal point = 0.18

hope it helps

A pizza is cut into eight slices the slices are all the same size Carolina ate 2 slices what fraction of the pizza did Carolina eat

Answers

if there is a total of 8 slices, and Carolina ate 2 of them, then she ate 2/8 which reduces to 1/4 of the pizza

If a class has 10 men and 14 women what is the ratio of men to the class

Answers

The ratio of men to class is 0.41.

We have a class of 10 men and 14 women.

We have to find out what is the ratio of men to the class.

Is a : b same as [tex]\frac{a}{b}[/tex] ?

Yes, a : b is same as [tex]\frac{a}{b}[/tex]. Here, ' a ' is called Antecedent and ' b ' is called Consequent.

In the question given -

Total number of men in the class , n(m) = 10

Total number of students in class, n(c) = 24

Ratio of men to class = [tex]\frac{n(m)}{n(c)}[/tex] = [tex]\frac{10}{24}[/tex] = 0.41

Hence, the ratio of men to class is 0.41.

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Final answer:

The ratio of men to the entire class of 10 men and 14 women is 5:12, simplified by dividing the numbers of men and total students by the greatest common divisor.

Explanation:

The question asks to find the ratio of men to the entire class. The class has a total of 10 men and 14 women, which means the class size is 10 (men) + 14 (women) = 24 students.

To calculate the ratio of men to the entire class, divide the number of men by the total number of students: Ratio = 10 (men) / 24 (students). This can be simplified by dividing both numbers by the greatest common divisor, which is 2, giving us a simplified ratio of 5 (men) to 12 (students).

The ratio of men to the class is therefore 5:12.

If you multiply a number by 3 and then subtract 5 you will get 40 what is the number

Answers

15 x 3 = 45 - 5 = 40
The number will be 15.
Hope this helped.

To find the answer the question first write it out. 3*x-5=40. move the five over next to the 40 and cancel out -5. so the new equation looks like this. Then add 40+5 which is 45.Lastly you have the number 3 and the variable x. now you have to divide 3 by 45 to get your final answer 15. so x=15.

3*x=40+5

3*x=45

Hope this helps!!

BRAINLIETS ND POINTSTO ANSWER THAT SHOWS ALL WORK YOU MIGHT NEED TO WORK OUT ON PAPER!!!
you are given the following equation:
+6=4/5(+3)

3a. Identify the slope of the equation.

3b. Identify the point used in the equation.

3c. Graph the equation.

Answers

the slope is 4/5
the points used were (-3,-6) and (2,-2)

The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes about 412 minutes to make. About how long will each member of the committee have to spend making flowers?

Answers

Answer:

About 7 hours per person

Step-by-step explanation:

412 divided by 60 because there are 60 minutes in an hour.

6.8667 which is about 7 hours.

The each member will take 7 hours.

What is Unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value

Given:

total member = 6 member

Each flower take = 412 minutes

we know

1 hour= 60 minutes

So, each member will have

=412/60

=6.866

=7 hours

Hence, each member will work for 7 hours

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Refer to the equation 2x − 6y = 12. (a) Create a table of values for at least 4 points. Show your work.

Answers

x = 9, y = 1
x = 12 , y = 2
x = 15, y= 3
x = 18, y = 4

2(9) - 6(1) = 12
18 - 6 = 12 true

2(12) - 6(2) = 12
24 - 12 = 12 true

2(15) - 6(3) = 12
30 - 18 = 12 true

2(18) - 6(4) = 12
36 - 24 = 12 true

hope this helps

I've always liked to do 0, 3, 12, 15 the points. So plug in 0, 3, 12, 15 separately to get y. The points are in parenthesis at the bottom.

2(0)-6y = 12
Y=-2 (0,-2)

2(3)-6y=12
-6y=6
Y=-1. (3,-1)

2(12)-6y = 12
24-6y = 12
-6y = -12
Y= 2. (12, 2)

2(15)-6y = 12
30-6y= 12
-6y=-18
Y = 3. (15,3)

Which ordered pairs are solutions to the inequality 2x+y>−4?
Select each correct answer.

(5, −12)

(−3, 0)

(−1, −1)

(0, 1)

(4, −12)

Answers

we will proceed to resolve each case to determine the solution

we have

[tex]2x+y>-4[/tex]

[tex]y>-2x-4[/tex]

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) [tex](5,-12)[/tex]