What is the product of 10 and 9radical 72 in simplest radical form

Answers

Answer 1

Step-by-step explanation:

[tex]10 \times 9 \sqrt{72} \\ = 90 \sqrt{36 \times 2} \\ = 90 \times 6 \sqrt{2} \\ = 540\sqrt{2} [/tex]

Answer 2

Final answer:

To find the product of 10 and 9√72, simplify √72 to 6√2, then multiply the outside coefficients (10 and 9) to get 90, and attach the simplified radical. The final answer is 90√2.

Explanation:

The question asks to find the product of 10 and 9√72 in simplest radical form. First, recognize that the square root of 72 can be simplified by factoring out perfect squares. The square root of 72 is equal to the square root of 36 times 2, which simplifies to 6√2. Now, multiply the outside coefficients (10 and 9) and then multiply the result by the simplified radical. The final simplification is 90√2, which is the product of 10 and 9√72 in simplest radical form.


Related Questions

8.21 Divided by 7.8=19.1

Answers

Answer: Not true

Step-by-step explanation:

8.21 /7.8

8.21 × 100 divided by 7.8 ×100

821/780

= 1.05

Which BEST approximates the area of the geometric figure?
A 4 square units
B 7 square units
C 9 square units
D 11 square units​

Answers

The answer is nine square units based on the graph

By decomposing the figure in simpler ones, we conclude that its area is 9 square units.

How to get the area of the figure?

Let's read the figure from the top.

First, we can see in the top two triangles that have an area of half a square unit, then adding these two we have one square unit.

Below that, there are 4 square units inside the figure.

On the left and right sides, there are triangles of base of 1 unit and height of 2 units, then each of these triangles has an area of:

a = 1*2/2 = 1 square unit

And we have 2 of these triangles, so the total area is 2 square units.

Finally, on the bottom we can see 4 triangles like in the top part, we know that each one of these measure 0.5 square units, then the 4 add up to 2 square units.

Adding all the areas above, we see that the total area is:

A = (1 + 4 + 2 + 2) square units = 9 square units.

So the correct option is C

If you want to learn more about area, you can read:

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Which describes the pedestrian crossing sign shown?

Answers

Answer:

i do not have he info needed

Step-by-step explanation:

Answer:it’s b

Step-by-step explanation:

Make x the subject of the formula 6x+a=5(x+t)

Answers

Answer: x = 5t - a

Step-by-step explanation:

6x + a = 5 (x + t)

expanding the bracket

6x + a = 5x + 5t

collecting like terms

6x - 5x = 5t - a

x = 5t - a

Answer:

x = 5t - a

Step-by-step explanation:

in order to make x the subject of formulae from the expression 6x+a=5(x+t)

the first step to do is to open the bracket (BODMAS).

6x+a=5(x+t)

6x + a = 5x + 5t

collect the like terms

6x-5x = 5t - a

x = 5t - a

therefore the value of x in the expression , that is expressing x interms of t and a from the expression 6x+a=5(x+t) is solved to be x = 5t - a

Tiffany used her debit card to buy lunch for $9.72 on Wednesday. On
Thursday, she deposited $9.72 back into her account. What is the overall
increase or decrease in her bank account?

Answers

Answer:

0

Step-by-step explanation:

she took the same amount of money out of her account as she put in.

Help me with this math question please.

Answers

Answer:

No

Step-by-step explanation:

Write the ratios of erasers to cost (dropping the dollar sign) as fractions:

(number of erasers)/(price): 2/1 and 10/4

The question is if the ratios 2/1 and 10/4 are equivalent.

2/1 = 2

10/4 = 2.5

A proportion is setting two ratios equal. Here, one ratio equals 2, and one ratio equals 2.5.

Since the ratios are not equivalent, the relation is not proportional.

HELP
Find the measure of angle z in the following figure,

Answers

Answer:

B

Step-by-step explanation:

so you know that where it around angle c you use supplementry angels. this makes it 180-130=50.

you then know that the triangle is 90degrees plus 50 degrees plus x =180

90+50+z=180

140+z=180

z=40

Answer:

B) ∠z = 40°

Step-by-step explanation:

All three angles of a triangle add up to 180°. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.

If ∠ADC = 130° then:

180° - 130° = 50°

Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.

180° - 50° - 90° =

180° - 140° = 40°

~Hope this helps!~

PLZZZ HELP I WILL MARK BRAINIEST

Answers

Answer: 47.5 ft^2

Step-by-step explanation: First find the area of the rectangle using the formula length*height. This is 10*4 or 40.

Then find the area of the bottom triangle using the formula (base*height)/2. This will be (3*3)/2, which simplifies to 9/2, which is 4.5.

Then find the area of the top triangle using the same formula, which will be (2*3)/2, which simplifies to 6/2, which is 3.

Add all of these together. 40+3+4.5=47.5.

38ft^2 You’re Welcome

In a class of 32 students, 4 students were absent on Monday. What percent
of the students were absent on Monday?

Answers

Answer:

12.5%

Step-by-step explanation:

Our of 32 students, 4 students were absent on Monday, which means to get the percentage, we divide 4 by 32 and then turn it to percentage, by multiplying by 100

4/32= 0.125

0.125X100

= 12.5%

Answer:

12.5% of the students were absent on Monday

Step-by-step explanation:

32 students = 100 students

16 students= 1/2 of the class

8 students= 1/4 of the class

4 students= 1/8 of the class

The base of the glass house to the right is a rectangle. What’s the perimeter of the base of the house?

Answers

Final answer:

The perimeter of a rectangle is found by adding up the lengths of all its sides.

Explanation:

The perimeter of a rectangle is found by adding up the lengths of all its sides. In this case, the base of the glass house is a rectangle.

Let's say the length of the base is 12 meters and the width is 8 meters. To find the perimeter, we add up the lengths of all four sides: 12 + 8 + 12 + 8 = 40 meters.

eight times a number plus 6 less than twice the number is 34

Answers

Answer: 4

Step-by-step explanation: 8 times 4 = 34

4 times 2 is 8 minus 6 is 2

32 + 2 = 34

hope this helps mark me brainliest if it did

Final answer:

The number that satisfies the condition 'eight times a number plus 6 less than twice the number is 34' is 4.

Explanation:

This problem is a basic algebra problem. Here's how to solve it step by step:

First, let's denote the unknown number as x.According to the problem, 'eight times a number' can be written as 8x.'6 less than twice the number' is equivalent to 2x - 6.So, the full equation given is 8x + (2x - 6) = 34.Combine like terms on the left side, leading us to 10x - 6 = 34.Add 6 to both sides of the equation to isolate the terms with x, resulting in 10x = 40.Divide both sides by 10 to solve for x. Thus, x = 4.

So, the number that satisfies the given condition is 4.

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$850, 4%, 6 months . Find simple interest, please help ASAP!!!

Answers

The required simple interest is given as $17.


What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Principal = $850
Rate = 4%
Time = 6 months

Simple interest = principal × rate/100 × time / 12

                         = 850 × 4 / 100 × 6/12
                         = 850 × 0.04 × 1/2
                         = $17

Thus, the required simple interest is $17.

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The cost of your new contact lenses is $200. If you left 25% deposit upon
ordering the lenses, what is your remaining balance?

Answers

Answer: Remaining balance is $150

Step-by-step explanation:

Contact lens= $200

25% of the amount was paid

= 25/100 × 200 = $50

Out of $200 of contact lens, $50 was paid as deposit, subtract $200 from $50 to give balance.

$200 - $50 = $150

I hope this helps.

Final answer:

After calculating a 25% deposit on the $200 contact lenses, which is $50, the remaining balance that needs to be paid is $150.

Explanation:

If the cost of your new contact lenses is $200, and you left a 25% deposit upon ordering the lenses, we need to first calculate the amount of the deposit and then determine the remaining balance.

To find the deposit amount, we take 25% of the total cost:

Deposit = 25% of $200Deposit = 0.25 × $200Deposit = $50

Once we have calculated the deposit amount, we subtract it from the total cost to find the remaining balance owed:

Remaining Balance = Total Cost - DepositRemaining Balance = $200 - $50Remaining Balance = $150

So, after leaving a 25% deposit on the contact lenses, your remaining balance would be $150.

Answer the question and make sure it is squared and in meters

Answers

Answer:

10,000m²

Step-by-step explanation:

The figure can be divided into a rectangle and a triangle as shown in the attachment.

The area of the rectangular portion is

[tex] = l \times w[/tex]

[tex] = 120 \times 30[/tex]

[tex] = 3600 {m}^{2} [/tex]

The area of the triangular portion is

[tex] = \frac{1}{2} \times 80 \times 160[/tex]

[tex] = 6400 {m}^{2} [/tex]

The area of the figure is therefore

[tex] = 6400 + 3600[/tex]

[tex] = 10000 {m}^{2} [/tex]

Christopher walks 15 miles in 5 hours . At this rate , how many miles does he walk in 10 hours

Answers

Christopher walks 30 miles in double the time as long as he stays at the same consistent speed

Answer:

30 miles

Step-by-step explanation:

First divide 15 and 5 because you need to know how much he did in a hour

Next multiple it by 10

What’s the probability of getting 3 hearts out of a deck of 52?

Answers

Answer:

Probability breaks down to this basic formula:

 

    desired outcome    

total possible outcomes

 

Also, you need to know there are 13 spades in a deck of cards.

 

So, on your first draw, the chances of getting a spade are:

 

13    (desired outcome: pick one of the 13 spades)

52    (total possibilities: 52 cards in the deck)

 

But on your second draw, if you don't replace the card, your chances of getting a spade are:

 

12

51

 

because you only have 12 spades left, and 51 cards total.

Then, on your last draw, the chances of getting a spade are down to:

 

11

50

 

Since each of these probabilities depend on each other, you multiply them up to get your overall probability:

 

13 * 12 * 11 =   1,716

52    51    50    132,600

 

This reduces, or you can just divide to get a decimal.

Step-by-step explanation:

A slice is made perpendicular to the base of a right rectangular prism, as shown.

What is the area of the resulting two-dimensional cross-section?

168, 280, 140, 20, and 240 are the options given

Answers

Answer:

3212333222555321233322321

Step-by-step explanation:

Answer:

B. 280

Step-by-step explanation:

The dimensions of the cross sections would be:

Base = 14

Height = 20

Find the area:

14 × 20 = 280

Which problem solving strategy would be best to solve this problem?

Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn?

Answers

Answer:

$62.50

Step-by-step explanation:

125/2=62.5 --> $62.50

Answer:

dude put the whole question so people can answer right .

Step-by-step explanation:

What is the value of the expression 3/8 -1/4

Answers

Your Answer Is: 0.125

The value of the expression 3/8 - 1/4 is 1/8.

To find this, you must first find a common denominator, which in this case is 8. Multiply 1/4 by 2/2 to get 2/8. Now, you are able to subtract the fractions to find your answer. 3/8 - 2/8 = 1/8. Thus meaning, 1/8 is your answer.

I hope this helps!

Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85. Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73. Find the cost of each.

Answers

the cost of ketchup is $3.53 & mustard is $0.63 .

Step-by-step explanation:

Here we have , Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85. Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73. We need to find the cost of each. Let's find out :

Let cost of ketchup be x and mustard be y than ,

Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85

We have following equation ,

⇒ [tex]3x+2y=11.85[/tex]   ..........(1)

Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73

We have following equation ,

⇒ [tex]3x+5y=13.73[/tex]        ........(2)

Now , (2) - (1) , i.e.

⇒ [tex]3x+5y-(3x+2y)= 13.73-11.85[/tex]

⇒ [tex]3y= 1.88[/tex]

⇒ [tex]y=0.627[/tex]

Putting value of y in (1) :

⇒ [tex]3x+2(0.627)=11.85[/tex]

⇒ [tex]3x=11.85-1.254[/tex]

⇒ [tex]x=3.532[/tex]

Therefore , the cost of ketchup is $3.53 & mustard is $0.63 .

The cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Explanation:

Given:

3 bottles of ketchup + 2 bottles of mustard = $11.85

3 bottles of ketchup + 5 bottles of mustard = $13.73

Cost of each = ?

Let x be the cost of each bottle of ketchup

Let y be the cost of each bottle of mustard

According to the question:

3x + 2y = $11.85

3x + 5y = $13.73

Substituting both the equation, we get:

3x + 2y = $11.85

3x + 5y = $13.73

________________

-3y = -1.88

y = $0.626

Substituting the value of y = $0.626 in equation 1

3x + 2(0.626) = $11.85

3x + 1.252 = $11.85

3x = 10.598

x = $3.532

Therefore, cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Of the 140 pages in a book, 25% of them have illustration. How many pages have illustration?

Answers

35 percent of the pages are illustrations.

Select the correct answer.
Why is it important to budget some money for entertainment?
A.
It is easier to stick to a budget if you can spend some money on things you enjoy.
B. Everyone should go to see a movie at least once a month.
C.
The entertainment category is a good place to save money each month for emergencies.
D. Society demands that we have access to entertainment,



Answers

Answer:a

Step-by-step explanation:

7. Which property of polynomials says that the sum of two polynomials is also a polynomial?

Answers

Answer:

Closure property

Step-by-step explanation:

The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.

For is

[tex] {x}^{2} + 2[/tex]

is a polynomial.

[tex]x - 2[/tex]

is also a polynomial.

The sum of the two polynomials is

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

The result:

[tex] {x}^{2} + x[/tex]

is also a polynomial.

What is the y-intercept of the function f(x)=4 – 5x?

–5
–4
4
5
Answer: 4

Answers

Answer:

(0,4)

Step-by-step explanation:

f(x)=4-5x

4-5(0)

5(0)=0

4-0=4

Answer number 5 plzzzzzzzzzzz

Answers

Answer:

  4x^2 -16

Step-by-step explanation:

As with any "what must be added" problem, you subtract the parts you have from the result you want:

  (3x^2 +4x +8) + (2x^2 -6x +3) + what = 9x^2 -2x -5

Identify the stuff on the left that is not "what" and subtract it from the equation:

  what = (9x^2 -2x -5) - (3x^2 +4x +8) - (2x^2 -6x +3)

  what = x^2(9 -3 -2) +x(-2 -4 +6) +(-5 -8 -3)

  what = 4x^2 -16 . . . . . . . must be added to give the desired sum

What is the domain of the values shown on the table? What does the domain represent?

A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used.

B) D: {0 ≤ y ≤ 360}; The domain represents the amount of gas used.

C) D: {0 < x < 12}; The domain represents the number of miles the car can travel.

D) D: {0 < y < 360}; The domain represents the number of miles the car can travel.

Answers

Answer:

Option A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used

Step-by-step explanation:

Let

x ----> number of gallons used (independent variable)

y ---> number of miles remaining (dependent variable)

we know that

The domain of a function is the set of all possible values of x

so

The domain represents the amount of gas used

D: {0 ≤ x ≤ 12}

what is x+3(x-2)-6 simplified?

Answers

Answer:

4x-12

Step-by-step explanation:

x+3x-6-6

4x-6-6

4x-12

Answer: 3

Step-by-step explanation:

x + 3( x - 2) - 6 = 0

x + 3x - 6 - 6 = 0

4x - 12 = 0

4x = 12

dividing both sides by 4

x = 12/ 4

x = 3

Ellie bought two planks of wood that were each 4ft3in long and two planks of wood that were each 6ft5in long. What is the total length of the wood she purchased?

Answers

Answer:

21ft 4in

Step-by-step explanation:

4+4=8 3+3=6 8ft 6in

6+6=12 5+5=10 12ft 10in

8+12=20ft 10+6=16in

16-12=4 20+1=21

21ft 4in


eleven times the quotient of a number and 3 minus 15

Answers

The number is [tex]\( \frac{45}{8} \).[/tex]

Let's denote the unknown number as x. The given expression can be translated into an equation:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 \][/tex]

To find the number, set up the equation and solve for x:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 = x \][/tex]

First, distribute the 11:

[tex]\[ \frac{11x}{3} - 15 = x \][/tex]

Next, move [tex]\( \frac{11x}{3} \)[/tex] to the other side of the equation by subtracting it from both sides:

[tex]\[ -15 = x - \frac{11x}{3} \][/tex]

To combine the terms on the right side, find a common denominator (3):

[tex]\[ -15 = \frac{3x}{3} - \frac{11x}{3} \][/tex]

[tex]\[ -15 = \frac{-8x}{3} \][/tex]

Now, solve for x:

[tex]\[ x = \frac{-15 \times 3}{-8} \][/tex]

[tex]\[ x = \frac{45}{8} \][/tex]

So, the number is [tex]\( \frac{45}{8} \).[/tex]

The probable question may be:

Eleven times the quotient of a number and 3 minus 15. Find the number?

33. Farmer Deanna looks out her window and counts a total of 64 legs on a total of 20 animals. If she has only
sheep and chickens, how many of each does she have? (Hint: Sheep have 4 legs each and chickens 2 legs each.

Answers

Answer:

12 sheep

8 chickens

Step-by-step explanation:

x+y=20, x=number of sheep and y=number of chickens

4x+2y=64. (Total number of legs)

Solve the system algebraically or graphically.

1. Multiply the top equation by -2 then add the equations together to solve for x.

Or

1. Solve for y in the top equation and substitute that for y in the second equation.

Then

2. Put x into either equation to solve for y.

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