Expressions with Irrational Numbers: Mastery Test 1 Type the correct answer in the box. The product of 2/3 and 3v12 in simplified form is Reset

Answers

Answer 1

Answer:

[tex]$\frac{1}{6}$[/tex]

Step-by-step explanation:

Expressing the irrational numbers into its simplified form :

Given :

The product of  [tex]$\frac{2}{3}$[/tex]  and  [tex]$\frac{3}{12}$[/tex]

Therefore,  

[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]

[tex]$=\frac{2}{12}$[/tex]

[tex]$=\frac{1}{6}$[/tex]

So the simplified form is [tex]$\frac{1}{6}$[/tex]


Related Questions

A sculptor plans to ship the pyramid shown in one of three boxes. The interior of the pyramid holds 4,500 cm3 of water. The base is an isosceles trapezoid. Into which boxes will the pyramid fit? Drag “yes” or “no” to each box height.

Answers

Answer:

28 cm and 32 cm

Step-by-step explanation:

Volume of the pyramid:

V = 1/3Bh

Find base area:

B = 1/2(20 + 30)*20 = 500 cm²

Substitute value of the volume and find the height of the pyramid:

4500 = 1/3*500*hh = 4500*3/500h = 27 cm

The boxes with h > 27 can fit the pyramid:

28 cm and 32 cm

Area of base

1/2(30+20)(20)10(50)500cm²

Volume=1/3Area×Height

Height

4500(3)(500)27cm

So answers are

boxes of 28cm and 32cn

Giving brainlist to whoever answers this question

Answers

Answer:3x +56

Step-by-step explanation:

The product of two rational numbers is irrational.

Answers

Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

[tex]\frac{a}{b} *\frac{c}{d}[/tex]

Where a, c, b, and d are integers.

We can rewrite that product as:

[tex]\frac{a*c}{b*d}[/tex]

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.

Which type of function best models the area of the garden as a function of the width?

Answers

Explanation is in file

Shelly's age plus Mary's age is less than 36. Mary is 15 years old. Write the equation thatrepresents the problem.

Answers

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

S < 21

Is 11 pronounced eleven or onety-one?? PLS HELP MOM WILL SMAK ME WITH A CLOCK AGAIN PLS HELP

Answers

Answer:

eleven if your normal

Step-by-step explanation:

Answer:

eleven

Step-by-step explanation:

PLEASE HELP I NEED TO TURN THIS IN TODAY!!!!!!!!!

Answers

Answer:

ez

Step-by-step explanation:

and dont give brainliest

lel

Adam loves to write. For an assignment at school, he has to write a paper about a book
they just read as a class. Before dinner, he had already written a few words, but after
dinner he began to type at a constant rate. This scenario is shown here W(m)= 25m+200
where m represents the amount of minutes he spends typing. How many words has he
written after 45 minutes?

Answers

Answer:

25(45) +200= 1125+200=1325

Three sides of a quadrilateral are the same length, g, The length of the fourth side is 7 inches,
The perimeter of the quadrilateral is 10 inches,
Write an equation that represents
the situation
7
3
7

Answers

Answer:

Step-by-step explanation:

Let s represent the length of each of the three sides mentioned.  The length of the fourth side is 7 inches.  Adding the lengths of the four sides together yields 10 inches:  g + g + g + 7 = 10 (inches)

Then 3g + 7 = 10, or 3g = 3, or g = 1.  

This equation is OK, but there's no solution, since 3g or just 3 is less than 7.  With side lengths 1, 1, 1, 7, we cannot draw a quadrilateral.

surely help me with this question

Answers

Answer:

The area of the composite shape is:

122.50 [tex]cm^{2}[/tex]

Step-by-step explanation:

To find the area of composite shapes you can pull apart this in known shapes, in this case, a rectangle and a triangle. Taking into account this, we can find the rectangle area firstly:

Rectangle area = base * height

The base of the rectangle is the measure from down (14 cm) and the height is the measure in the left side (7 cm), with these values we can replace the formula:

Rectangle area = base * heightRectangle area = 14 cm * 7 cmRectangle area = 98 [tex]cm^{2}[/tex]

Now, to calculate the area of the remaining triangle, we must use the next formula:

Triangle area = [tex]\frac{base*height}{2}[/tex]

Where the base would be equal to the left side of the shape (7 cm) and the height is the difference between the measurement in the top side and the measurement in the bottom side:

Height of the triangle = top side - bottom sideHeight of the triangle = 21 cm - 14 cmHeight of the triangle = 7 cm

We can replace in the formula:

Triangle area = [tex]\frac{7 cm * 7cm}{2}[/tex]Triangle area =[tex]\frac{49cm^{2} }{2}[/tex]Triangle area = 24.5 [tex]cm^{2}[/tex]

By last, we must add the two values of the areas obtained:

Area of the composite shape = rectangle area + triangle area.Area of the composite shape = 98 [tex]cm^{2}[/tex] + 24.5 [tex]cm^{2}[/tex]Area of the composite shape = 122.5 [tex]cm^{2}[/tex]

6 groups of 7 = 5 groups of 7 plus

Answers

Answer:

1 group of 7

Step-by-step explanation:

one group of seven.

What is the slope of the line that passes through the points (-8, -6)(−8,−6) and (-18, 6) ?(−18,6)? Write your answer in simplest form.

Answers

Slope:-6/5

We can find the rise over run by solving for and simplifying:-6-6/-8-(-18)=-12/10=-6/5

You are a business developer and charge $45 for a site visit plus additional $24 per hour for each hour you spend training employees. Write and solve an equation to determine how many total hours you have to work to earn $810 working hours at two separate businesses.

Answers

Answer: [tex]28.3\ hr[/tex]

Step-by-step explanation:

Given

Charge of the site visit [tex]\$45[/tex]

Additional charge per hour is [tex]\$24\ \text{per hour}[/tex]

He eaned [tex]\$810[/tex]

Suppose he worked for x hours

[tex]\therefore 810=45+24x\\\text{On solving}[/tex]

[tex]\Rightarrow 765=24x\\\Rightarrow x=28.3\ hr[/tex]

1) Hank is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his
$2,000; $ 16,900; $15,100; $14,500; and $17,000. Is it more reasonable for Hank to use the mean or the
median to get a reasonable estimated price for his bike?

Answers

Answer:

The median

Step-by-step explanation:

If you look at the sample section of the 5 different prices, you can see that $2,000 is very far away from the rest of the prices, which range from $14,000 to $17,000. This $2,000 is an outlier, and is likely not accurate in predicting reasonable prices for Hank's bike, so it should not be a factor in his decision or contribute to the mean value.

In the xy-plane, the graph of the equation y = x2 +2 intersects the x-axis in how many points?
O Zero
O One
Ο Two
O More than two

Answers

Answer:

0

Step-by-step explanation:

Here, we want to get the number of times the graph of the function intersects the x-axis

Mathematically we need to know the number of roots the function has

We can get this by the use of the discriminant

This is:

D = b^2 - 4ac

b is the coefficient of x which is 0 here

a is the coefficient of x^2 which is 1 here

c is the last number which is 2

So;

D = 0^2 -4(1)(2) = 0-8 = -8

the discriminant value is negative

This means there are no real roots

x-y plane is used for real numbers and thus since there are no real roots, the graph of the equation will not intersect any point on the x-axis

Please answer quick! God bless.

A movie theater offer two different plans to see movies. Plan One has members join for $75 and then pay only $2 per movie. The second plan offers movies for $5.75 per movie. For what number of movies will the costs be the same for both Plan One members and Plan Two members?

Answers

Answer:

I d k

Step-by-step explanation:

5.75x10=57.50

57.5+11.5=69(nice)

69+5.75= 74.75

74.75+5.75=80.5

80.5+5.75= 86.25

86.25+5.75=92

basically this formula should help

i tried to figure out on the way

Complete the question

Answers

Answer:

$625 on groceries

Step-by-step explanation:

The number is 25%, which is 1/4 of $2,500, so we need to find 1/4 of 2,500

2500/4=625

That is how you solve it using division.

Hope this helps!

On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round to three decimal places

Answers

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

For the following sequence determine the common difference (if it is an arithmetic
sequence) or the common ratio (if it is a geometric sequence).
36, 60, 100,...

Answers

Arithmetic = uses addition
Geometric = uses multiplication

60 - 36 = 24
60 + 24 = 84 (does not give you 100)
Proving this is not Arithmetic

60/36 = 5/3 or 1.66666667
100/60 = 5/3 or 1.66666667

Solution: geometric
Common ratio = 5/3

Linear equation in slope intercept form

Answers

Answer:

y = 2x + 24

Step-by-step explanation:

Slope-intercept form equation => y = mx + b

m = slope = change in y / change in x

b = y-intercept

✔️using two pairs of values form the table, (-6, 12) and (-5, 14):

Slope (m) = (14 - 12)/(-5 -(-6))

m = 2/1

m = 2

✔️To find b, substitute (x, y) = (-6, 12) and m = 2 into y = mx + b.

12 = 2(-6) + b

12 = -12 + b

12 + 12 = b

24 = b

b = 24

✔️To write the equation, substitute m = 2 and b = 24 into y = mx + b:

y = 2x + 24

6. Kriti has a circular swimming pool in her house. The radius of the swimming
pool is22.5 cm. She walks one round every morning before diving in the pool.
How far does she walk around the pool every morning? *

70.65
141.3
35.33
282.6

Answers

Answer:

Total walk she did around the pool every morning = 141.3

Step-by-step explanation:

Given - Kriti has a circular swimming pool in her house. The radius of the swimming  pool is 22.5 cm. She walks one round every morning before diving in the pool.

To find - How far does she walk around the pool every morning?

Proof -

Given that, the swimming pool is circular in shape.

So,

1 round of circle = Circumference of circle.

As we know that,

Circumference = [tex]2\pi r[/tex]

                         = [tex]2*\pi *22.5[/tex]

                         = 141.3

∴ we get

Total walk she did around the pool every morning = 141.3

La natalidad hace que la población aumenta o disminuya??

Answers

Step-by-step explanation:

la natalidad hace que la poblacion aumente

I need help with this question? 2(t+1) =10

Answers

Answer:

Distribute

Subtract   two from both sides of the equation

Simplify

and that's your solution

which should be t=4

Step-by-step explanation:

What is the average of 62 and 127

Answers

Answer:

Step-by-step explanation:

The answer is 94.5

Answer:

94.5

Step-by-step explanation:

You would find that by adding up all the numbers in a data set the dividing them by how many number are in the data.

For example:

127 + 62 = 189

And since there are two numbers in the data set, you would divide 189 by 2 and get 94.5 as your answer.

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! waaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

I believe it would be - (n+4) x 2

Step-by-step explanation:

Answer:

2(n + 4)

Step-by-step explanation:

we take her number, n, and add 4

= n + 4

Then we double that. So that can either be 2n + 2(4) = 2n + 8, or 2(n + 4) which tells you to multiply everything in the parentheses by 2.

Please let me know if you have questions.

what is the slope and y-intercept? write the equation. also sorry it’s so late

Answers

(y2-y1)/(x2-x1)

19-10=9

6-3=3

9/3=3

slope: 3

y-int: 1

y=3x+1

23, 69, 207 7th term

Answers

Answer:

16767

Step-by-step explanation:

Each new term is found by multiplying the previous term by 3.  Thus, 3 is the common ratio.  The formula for this geometric series is therefore

a(n) = 23*3^(n - 1).

The 7th term is a(7) = 23*3^6 = 16767

hey !! what's the answer ??

[tex] \sqrt{39 \times 13 \times 3} [/tex]

Answers

Answer:

39

Step-by-step explanation:

sqrt(39*13*13)

= sqrt(1521)

= 39

What is the l25I

1. -25

2. 25

3. 52

4. -52

Answers

the answer is 25! option 2.
It’s B, 25, thanks! Have a good day!

calculate:
(−26−5×5)−(4)×(−2)+(−3)
−(8−22)÷(−3×5)
and thankyouu alottt​

Answers

Answer:

-46.9333333

Step-by-step explanation:

(−26−5×5)−(4)×(−2)+(−3)

−(8−22)÷(−3×5)

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