If someone can pls give the answer with steps that would be greatly appreciated :)

-6(3x-2/3)

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

=-18x-(-4)

=-18x+4

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:

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:

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)

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:

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°.

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.

9514 1404 393

Answer:

  (x, y) = (3, 1)

  2y +1 < x ≤ 5 -2y  where  y < 1

Step-by-step explanation:

a) We can add twice the second equation to the first to eliminate y.

  (2x +4y) +2(x -2y) = (10) +2(1)

  4x = 12 . . . . . simplify

  x = 3

  3 -2y = 1 . . . . substitute for x in the second equation

  2 = 2y . . . . . add 2y-1 to both sides

  1 = y . . . . . . divide by 2

The solution is (x, y) = (3, 1).

__

b) The solution for a set of inequalities is generally the intersection of two half-planes. It is not just one point. The solution space is usually represented graphically, but we can write inequalities that express it.

The first inequality tells us that both x and y will be on or below the boundary line, which will have negative slope.

The second inequality tells us x will be above the boundary line with positive slope, and y will be below it. If we consider the boundary lines to cross in an X shape, the solution space will be in the bottom quadrant. This suggests the area can best be represented by expressing x as a range of values in terms of y.

Solving each inequality for x, we get ...

  2x +4y ≤ 10   ⇒   x ≤ 5 -2y

  x -2y > 1   ⇒   x > 2y +1

These give us the compound inequality ...

  2y +1 < x ≤ 5 -2y

Of course, the relation between the limits must hold, so ...

  2y +1 < 5 -2y

  4y < 4 . . . . . . . add 2y-1

  y < 1 . . . . . . divide by 4

The solution is 2y +1 < x ≤ 5 -2y where y < 1.

_____

The graph shows the region that is the solution to the system of inequalities. The vertex point (3, 1) is not part of that region. (It does not satisfy the left boundary condition.) However, that point is the solution to the set of equations. It is where the boundary lines meet.

__

Additional comment

Above, we noted that the inequalities have boundary lines that intersect to divide the Cartesian plane into 4 parts. We called the intersecting lines an X shape. In general, if the solution space is in the left- or right-portion of this shape, the compound inequality defining the solution will be one that bounds y. If it is in the top or bottom of this shape, then the compound inequality will be one that bounds x (as in this problem).

A different generality may apply if the boundary lines have slopes of the same sign.

Answer:

(a) 6cm

Step-by-step explanation:

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

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:

258

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:

Number of black balls=2

Total number of balls=3

Probability =2/3

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

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.

Answer:

Step-by-step explanation:

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:

<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

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:

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.

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:

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: 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:

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:

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:

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:

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: 81

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

Answer: 81

Step-by-step explanation: 21 times 3