There are 17 books on a shelf. 8 of these books are new. the rest of them are used. (GIVING BRAINLEST TO BEST ANSWER) what is the ratio?​

9514 1404 393

Answer:

  14x³∛x

Step-by-step explanation:

Factor cubes from under the radical and combine like terms.

  [tex]\displaystyle 4\sqrt[3]{x^{10}}+5x^3\sqrt[3]{8x}=4\sqrt[3]{x(x^3)^3}+5x^3\sqrt[3]{x(2^3)}\\\\=4x^3\sqrt[3]{x}+5x^3\cdot2\sqrt[3]{x}=(4+5\cdot2)x^3\sqrt[3]{x}\\\\=\boxed{14x^3\sqrt[3]{x}}[/tex]

_____

Additional comment

When using an equation editor to create your answers, you need to be careful to make the distinction between the multiplication symbol × and the variable x. Note, too, that exponents generally must be written using the superscript form. x10 and x¹⁰ are not the same thing.

Step-by-step explanation:

hope it is helpful to you

stay safe happy and healthy

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x}{3}-2=6}[/tex]

[tex]\mathsf{= \dfrac{1}{3}x - 2 = 6}[/tex]

[tex]\textsf{ADD 2 BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{1}{3}x - 2 + 2 = 6 + 2}[/tex]

[tex]\textsf{CANCEL out: -2 + 2 because that gives you 1}[/tex]

[tex]\textsf{KEEP: 6 + 2 because that helps solve for x}[/tex]

[tex]\mathsf{6 + 2 = \boxed{\bf 8}}[/tex]

[tex]\mathsf{NEW \ EQUATION: \dfrac{1}{3}x = 8}[/tex]

[tex]\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]

[tex]\mathsf{3\times\dfrac{1}{3}x=3\times8}[/tex]

[tex]\mathsf{CANCEL\ out: \ 3 \times \dfrac{1}{3} \ because \ that \ gives \ you \ 1}[/tex]

[tex]\mathsf{KEEP: \ 3 \times 8 \ because \ that\ gives \ you \ the \ value \ of \ x}[/tex]

[tex]\mathsf{\boxed{\bf x}= 3\times8}[/tex]

[tex]\mathsf{3\times8 = \boxed{\bf x}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 24}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

6 hours to 1 book

Step-by-step explanation:

Which is a unit rate?

4 dollars to 3 cans

5 students to 2 teachers

6 hours to 1 book

3 miles to 2 days

A unit rate is a rate of a number to 1. The second number must be 1. The only unit rate is 6 hours to 1 book.

Answer: 6 hours to 1 book

Answer:

Number of black balls=2

Total number of balls=3

Probability =2/3

Answer:

9 (a) [tex]d = \frac{\sqrt{e}}{\sqrt{3}}[/tex]

9 (b) [tex]d = \frac{\sqrt{7k}}{\sqrt{2}}[/tex]

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

Answer:

120 different ways

The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.

Answer: C

Explanation:

A is eliminated because of 3 and 24, 3^2 is 9 and 9 times 3 isnt 24

B is eliminated because of 1 and 6, 2 plus 3 is 5 not 6

C works for all the number sets

D is eliminated because of 1 and 6, again 3 plus 2 is 5 not 6

Answer:

The answer to your question is given below.

Step-by-step explanation:

Let the total number be U.

From the question given above, we were told that any number of B is 50% of the total number (i.e U).

Now, we shall determine the the total number (U) in terms of B.

50% of U = B

50/100 × U = B

50U / 100 = B

Cross multiply

50U = 100B

Divide both side by 50

U = 100B/50

U = 2B

Thus, the total number is 2B

Finally, we shall determine the answer to the question:

111 is 50% of ___

B = 111

Total number (U) = 2B

Total number (U) = 2 × 111

Total number (U) = 222

Therefore,

111 is 50% of 222

Answer:

4.7

Step-by-step explanation:

the median is the middle number in a set of numbers so first we need to put them in order

1.9 3.4 [4.7] 6.5 7.6

this one is easy since we have an odd number of digits

the answer is 4.7

Answer:

B

Step-by-step explanation:

Had it on Khan Academy.

True statement for the given graph is the point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.

" Graph is defined as diametrical representation of the relation between the variables on the coordinate plane along x-axis and y -axis."

According to the question,

As given in the graph,

Graph represents the linear relation between red paint and blue paint.

'x -axis' on the graph represents the blue paint

'y- axis' on the graph represents red paint

A. The point [tex](0,0)[/tex] shows that any amount of red and the blue paint will make same shade of purple.

From the graph coordinates [tex](1,3)[/tex] and [tex](2, 6)[/tex]represents that proportion of blue : red to make required purple shade is [tex]1: 3[/tex].

Hence, Option A is not a correct answer.

B.  The point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.

Coordinate [tex]( 3,9)[/tex] on the graph represents the ratio of blue : red [tex]= 3 : 9[/tex] which is equals to [tex]1:3[/tex] .

Hence, Option(B) is the correct answer.

Learn more about graph here

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Answer:

(a) 6cm

Step-by-step explanation:

Hope you have good grades and study well...btw make me as brainliest ty sweetie!

Answer:

Rewrite in vertex form and use this form to find the vertex

Rewrite in vertex form and use this form to find the vertex

(h,k).(−3,9)

Step-by-step explanation:

Answer:

Find the volume of the cone, the answer i got was 37.68 but it asked to round so it should be 37.7

Hope this helps :)

Answer:

If we want to find volume of cone we must use this formule: πr²*high/3.

Step-by-step explanation:

let's solve step by step

firstly you know the radius is 3 and high is 4

if we accept π to 3. the answer is must be (3*3*4)/3 and finally the answer is 12 units³

Answer:

The correct answer is -

a. Amount Anton will spend for 3.5 m of cloth

b. 3.5 meters of cloth, 35.00 costs per meter.

c. Multiplication

d. 35.00 × 3.5/1 = N

e. P122.50 amount he will spend for 3.5 meters of cloth

Step-by-step explanation:

Solution:

A. in this question it is asked that how much it will cost Anton to buy the required cloth that is 3.5 meters cloth.

B. Given:

required cloth - 3.5 meters

price or cost of cloth per meter - 35 per meter

C. In this question multiplication will be used to get the answer so the operation would be - multiplication.

D. The number sentence is an equation to express inequality by using numbers and mathematical symbols, here the number sentence would be -

35.00 × 3.5/1 = N

E. The correct answer would be -

N = 35.00 × 3.5/1

= 122.5

Thus, the correct answer would be P 122.5.

9514 1404 393

Answer:

Step-by-step explanation:

First differences are ...

  x -4, 8 -x, y -8, 20 -y

Then second differences are ...

  (8 -x) -(x -4)

  (y -8) -(8 -x)

  (20 -y) -(y -8)

Each of these is said to be 2, so we have ...

  12 -2x = 2   ⇒   x = 5

  28 -2y = 2   ⇒   y = 13

And an equation we can use to check:

  x +y -16 = 2   ⇒   5 +13 -16 = 2 . . . . true

_____

The explicit formula for the sequence is ...

  an = n^2 -2n +5

Answer:

5.01

Step-by-step explanation:

Reference angle (θ) = 24.3°

Length of side Opposite to reference angle = 2.06

Let the side length (Hypotenuse) we're looking for be represented as x

Apply SOH:

Sin θ = Opp/Hyp

Substitute the values into the equation

Sin 24.3° = 2.06/x

Multiply both sides by x

x × Sin 24.3° = 2.06/x × x

x × Sin 24.3° = 2.06

Divide both sides by Sin 24.3°

(x × Sin 24.3°)/Sin 24.3° = 2.06/Sin 24.3°

x = 5.01 (nearest hundredth)

Option B is correct, the value of tan 74° is 24/7

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We have to find the value of tan74°

The tan function is ratio of opposite side and adjacent side.

We have to find the opposite side of angle 74°,

The opposite side has length 24

Now let us find the adjacent side of angle 74 which is 7

tan 74° = 24/7

Hence, option B is correct, the value of tan 74° is 24/7.

To learn more on trigonometry click:

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Answer:

<2, <3, <6, <7

Step-by-step explanation:

Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.

<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.

<2 = Is supplementary angle because it is a vertical linear pair with <4.

<3 = Is supplementary angle because it is horizontal linear pair with <4

<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.

<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.

<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.

<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.

Ugh... I really hope u understand, and don't think that I am blabbering.

Thank You

Please mark me as the brainliest

Answer:

Options A, B and D

Step-by-step explanation:

If the two triangles are congruent, their corresponding parts will be congruent.

If ΔABC ≅ ΔDEF

By the property of CPCTC,

AB ≅ DE

AC ≅ DF

BC ≅ EF

∠A ≅ ∠D

∠C ≅ ∠F

∠B ≅ ∠E

Therefore, Options A, B and D are the correct options.

Answer:

258

Step-by-step explanation:

Answer:

The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.

Step-by-step explanation:

From the boxplot Given ;

Town A :

The first quartile, Q1 = 15

Third quartile, Q3 = 30

The interquartile range, IQR = Q3 - Q1 = 30 - 15 = 15°

TOWN B :

The first quartile, Q1 = 20

Third quartile, Q3 = 40

The interquartile range, IQR = Q3 - Q1 = 40 - 20 = 20°

The interquartile range (IQR) for town A, 15° is less than the IQR for town B, 20°.

Answer:

[tex]x \ge 1[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{6(x - 1)} \div \sqrt{3x^2[/tex]

Required

x for [tex]which[/tex] the function is [tex]de fi ned[/tex]

To do this, we set the numerator root [tex]\ge 0[/tex]

So, we have:

[tex]6(x - 1) \ge 0[/tex]

Divide by 6

[tex](x - 1) \ge 0[/tex]

Solve for x

[tex]x \ge 1[/tex]

Also, we set the denominator greater than 0:

[tex]3x^2 > 0[/tex]

Divide by 3

[tex]x^2 > 0[/tex]

Take square roots

[tex]x > 0[/tex]

So, we have:

[tex]x > 0[/tex] and [tex]x \ge 1[/tex]

Combine both to give:

[tex]x \ge 1[/tex]

Answer: 81

Step-by-step explanation: 27 times 3 = 81

Answer: 81

Step-by-step explanation: 21 times 3

Answer:

16a^12 b^16

Step-by-step explanation:

that's the answer. just multiply out the powers

Answer:

16*(a^12)*(b^16)

Step-by-step explanation:

In order to solve this problem, we can split these term into three separate terms.

[tex]{(2 {a}^{3} {b}^{4})}^{4} = {2}^{4} \times {( {a}^{3}) }^{4} \times {( {b}^{4} )}^{4} [/tex]

2 to the power of 4 is 16.

[tex] {2}^{4} = 16[/tex]

As for the terms a and b, the two exponents can multiply with each other.

[tex] {( {a}^{3} )}^{4} = {a}^{(3 \times 4)} = {a}^{12} [/tex]

[tex] {( {b}^{4} )}^{4} = {b}^{(4 \times 4)} = {b}^{16} [/tex]

Now, we can directly multiply the values together by combining into one term.

Hence, the final answer is

[tex]16 {a}^{12} {b}^{16} [/tex]

Answer:

Any of these numbers will work:

0.61

0.62

0.63

0.64

0.65

0.66

0.67

0.68

0.69

0.70

0.71

0.72

0.73

0.74

3/5 is .60

3/4 is .75

These are all rational numbers that fall within those two numbers.

-6(3x-2/3)

=(-6).3x-(-6).2/3

=-18x-(-4)

=-18x+4

Answer:

$1281.1

Explanation:

Unit selling price is total cost plus markup(percentage profit on total cost price)

Assuming overhead is already apportioned to each product at $585 each

Total cost:

Labor 15hrs at $26/hr=15×26=$390

Overhead 150% of labor=150%×390=$585

Material Costs= $89

Packing Costs= 10%×390= $39

Subcontract Cost= $11

Sales Commission= 5% of selling price=$55.7

Total cost = $1169.7

Profit =10% of selling price= $111.4

Selling price =total cost + profit

= $1281.1