which of the following is equivalent to 10x+15

10(x+5)
10(x+15)
5(2+3)
5(2x+3)

Answer:

∛15.

Step-by-step explanation:

15^1/3

= ∛15.

Parallel lines are lines which are equidistant to each other long every point on both lines.

A line is said to be perpendicular if it crosses another line at exactly 90°. Hence, as depicted in the image attached, TZ is perpendicular to RS.

It is important to note that perpendicular lines always bisect one another and that the slopes of lines that are perpendicular are negative of each other and reciprocals.

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Answer:15

Step-by-step explanation:

96÷2=48

63-48=15

So Sam should give Peter 15 of his stamps so that Peter will have twice as many stamps as him.

Answer:

10 stamps

Step-by-step explanation:

Let n = the number of stamps Sam gives Peter.

63 - n is the number stamps Sam has after giving some of them to Peter.

Peter starts with 96 stamps.

After Sam gives Peter n stamps, Sam will have 96 + n stamps.

2(63 - n) = 96 + n

126 - 2n = 96 + n

-3n = -30

n = 10

Answer: 10 stamps

Answer:

13.64 cm²

Step-by-step explanation:

Area of Trapezoid :

Solving :

Answer:

13.64 square centimeters

Step-by-step explanation:

Hey there!

The formula to finding the area of a trapezoid is:

1/2 (p + q) h

Where h is the height, p is the shorter base and q is the longer base

In this case

p - 3.6

q - 5.2

h - 3.1

1/2 (3.6 + 5.2) 3.1

1/2 (8.8) 3.1

(4.4) 3.1 --> 4.4 x 3.1

13.64

So, the area of this trapezoid is 13.64 square centimeters

If the function is h(t) = - 4.9t² + 39.2t + 5. Then the maximum height will be 83.4 meters.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given as

h(t) = - 4.9t² + 39.2t + 5

Then the differentiation of the function will be

h'(t) = - 9.8t + 39.2

For the maximum height, put h'(t) equals zero. Then we have

              h'(t) = 0

- 9.8t + 39.2 = 0

                  t = 4

Then the maximum height will be

h(t) = - 4.9(4)² + 39.2 x 4 + 5

h(t) = - 4.9 x 16 + 39.2 x 4 + 5

h(t) = - 78.4 + 156.8 + 5

h(t) = 83.4 meters

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By using the second condition, we conclude that there are 23 white roses in the tray.

First, we know that there are a total of 50 roses in the tray, and we have the conditions:

The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.

Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:

50 - 27 = 23 white roses.

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Answers:

Across:

Down:

======================================================

Explanations:

Always start with the given statements and build toward the thing you want to prove. The first line(s) will basically be restating the given facts word for word.

The term "bisect" means to "divide in two equal pieces". Angle ABC is split into the two equal pieces of angles ABD and CBD, hence ABD = CBD. Segment CK is split into the equal pieces of CM and MK, meaning that CM = MK.

The reflexive theorem says any segment is congruent to itself, so BD = BD.

Vertical angles are formed when we intersect two lines to form an X shape. The vertical angles are opposite one another and always congruent.

Alternate interior angles are always congruent when we have parallel lines.

The AAS (angle angle side) congruence theorem says that two triangles are congruent if we have two pairs of congruent angles, and a pair of congruent sides. The congruent sides are not between the angles mentioned. The order matters.

AAS is slightly different from ASA. With ASA, the congruent sides are between the congruent angles.

Answer:

Step-by-step explanation:

a)

The answer is greater than 450 because the percentage is less than 100%

b)

36% = 36/100 = 0.36

450/0.36 = 1250

how many people were surveyed?:

1250

Answer:

The answer to this question should be 28.3

Answer:

x = 4

Step-by-step explanation:

10(x - 1) = 8x - 2

10x - 10 = 8x - 2

10x = 8x + 8

2x = 8

x = 4

Answer:

7. m^21n^27

8. a^21b^28

Step-by-step explanation:

7. since m^7 raised to the 3rd power = m^( 7 * 3 ) = m^21

then  n^9 raised to the 3rd power = n^( 9 * 3 ) = n^27

your answer is m^21n^27

8. a^3 raised to the 7th power = a( 3 * 7 ) = a^21

b^4 raised to the 7th power = b( 4 * 7 ) = b^28

your answer is a^21b^28

hope this helps:)

Answer:

The circumference is 75.36 inches.

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!

We are given the radius that’s equal to 12 inches and π = 3.14

We want to find the circumference.

[tex]\displaystyle \large{C=2\pi r}[/tex] which simply means circumference = 2*π*radius or sometimes can also be written as [tex]\displaystyle \large{C=\pi d}[/tex] which means circumference = π*diameter since 2r means two times of radius and that’s technically diameter.

Determine the following:

Apply the circumference formula.

[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}[/tex]

Hence, the circumference is 75.36 inches.

Answer:

75.36 in^2

Step-by-step explanation:

24*3.14

=75.36 in^2

Answer:

4/11 of the class did not walk to school.

Step-by-step explanation:

11/11 - 7/11 = 4/11

Answer:

10 ft.

Step-by-step explanation:

Scale ⇒ 1 in. : 2 ft.

Scale factor

Width of model=5in

Width of structure

Answer:

[tex]\sf \cos(G)=\dfrac{1}{2}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sf \cos(G)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Answer:

75

Step-by-step explanation:

1/3 * 5² * 9 = V

1/3 * 25 * 9

= 75

answer

1. 864,960

is the answer

Step-by-step explanation:

I'm correct because I'm a teacher

Answer:

d is the answer

Step-by-step explanation:

y=mx+b

m being the slope and b being the y intercept

Answer:

See below ~

Step-by-step explanation:

Anthony has graphed the inequality y ≤ -2x + 1.

For an inequality using a > or < sign, a dotted line has to be used instead of a solid line.

Answer:

y=−7x2+98x−337 is the answer

Answer:

60

Step-by-step explanation:

Julio's number is 3.

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Let us consider the number is 'x'

Julio's number be,

-3(x-16)=69

x-16=-13

x= -13+16

x= 3

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A percentage is a way to describe a part of a whole. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Since there is no tax for the first £11,000, therefore, the earnings which will be taxed,

£48,300 - £11,000 = £37,300

The amount of tax for the income of £11,000 to £43,000, will be,

20% of (£11,000 to £43,000)

= 20% × (£43,000 - £11,000)

= £6,400

The amount of tax for the income of £11,000 to £150,000, will be,

40% of (£43,000 to £48,300)

= 40% × (£5,300)

= £2,120

Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

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Answer:

80

Step-by-step explanation:

140-60

a) The arrangement of 9 paintings can be done 9 ways.

b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.

The arrangement of the different things or numbers in a number of ways is called the combination.

a) Here if she has 9 paintings so the number of the arrangements will be

[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]

b) The arrangement of the 4 out of 9 paintings will be

[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]

Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.

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The equations are

Lets solve them through matrix

Let

[tex]\\ \rm\Rrightarrow A=\left[\begin{array}{ccc}\rm 5&\rm 3&\rm 4\\ \rm 2&\rm 5&\rm 5\\ \rm 6&\rm 3&\rm3\end{array}\right][/tex]

[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right][/tex]

[tex]\\ \rm\Rrightarrow B=\left[\begin{array}{c}\rm 67 \\ \rm 56\\ \rm 72\end{array}\right][/tex]

Let solve

Determinant of A

[tex]\\ \rm\Rrightarrow |A|[/tex]

[tex]\\ \rm\Rrightarrow 5\left|\begin{array}{cc}\rm 5&\rm 5\\ \rm 3&\rm 3\end{array}\right|-3\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|+4\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|[/tex]

[tex]\\ \rm\Rrightarrow 5(15-15)-3(6-30)+4(6-30)[/tex]

[tex]\\ \rm\Rrightarrow 72-96[/tex]

[tex]\\ \rm\Rrightarrow -24[/tex]

[tex]\\ \rm\Rrightarrow A_{11}=0[/tex]

[tex]\\ \rm\Rrightarrow A_{12}=24[/tex]

[tex]\\ \rm\Rrightarrow A_{13}=-24[/tex]

[tex]\\ \rm\Rrightarrow A_{21}=3[/tex]

[tex]\\ \rm\Rrightarrow A_{22}=-9[/tex]

[tex]\\ \rm\Rrightarrow A_{23}=3[/tex]

[tex]\\ \rm\Rrightarrow A_{31}=-5[/tex]

[tex]\\ \rm\Rrightarrow A_{32}=-17[/tex]

[tex]\\ \rm\Rrightarrow A_{33}=19[/tex]

[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right][/tex]

[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right]^T[/tex]

[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{|A|}\times Adj.A[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]

Now

[tex]\\ \rm\Rrightarrow AX=B[/tex]

[tex]\\ \rm\Rrightarrow X=A^{-1}B[/tex]

[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right]\left[\begin{array}{c}\rm 67\\ \rm 56\\ \rm 72\end{array}\right][/tex]

[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{c}\rm -192\\ \rm -120\\ \rm -72\end{array}\right][/tex]

[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]

So

[tex]\\ \rm\Rrightarrow \left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right]=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]

We get

Using the given equation, it is found that the fewest number of moves required for 7 disks is of 127.

It is given by the following equation:

[tex]a_n = 2^n - 1[/tex]

In this problem, we have 7 disks, hence the fewest number of moves needed is given by:

[tex]a_7 = 2^7 - 1 = 127[/tex]

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Answer:

127

Step-by-step explanation: