Solve x + 5 = 7.
OA. x = -2 and x = 12
OB. x = 2 and x = -2
C. x = 2 and x = -12
OD. x = -2 and x = -12

Answer:

scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{V'W'}{VW}[/tex] = [tex]\frac{1}{5}[/tex]

Answer:

[tex]p\left( A|B\right) =0[/tex]

Step-by-step explanation:

Formula:

[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]

The only prime outcome is 3

Then

The set A = {3}

1 and 2 are the divisors of 2

Then

The set B = {1 , 2}

Therefore , p(A∩B) = 0

Also p(B) = 0.4+0.1 = 0.5

[tex]\Longrightarrow p\left( A|B\right) =\frac{0 }{0.5 }=0[/tex]

The price of one pen will be $1.5 and one highlighter is $4.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The cost of the pen and the highlighter will be calculated by forming the two expressions from the given data in the question the expressions are as follows:-

6p  +  3h  = 21

2p  +  4 h = 19

Solving the above linear equations by elimination method:-

( 6p  +  3h  = 21 ) x 2

( 2p  +  4 h = 19 ) x 6

The new equations are:-

12p  + 6h  =  42

12p  + 24h  = 114

Substracting the below equation from the above equation we will get:-

6h - 24h  =  -72

-18 h = -72

h  =  $4

Put the value of h in any of the above equations:-

2p  +  4 h = 19

2p  +  4 ( 4 )  = 19

2p  +  16  =  19

p  =  3 / 2

P  = $1.5

Therefore the price of one pen will be $1.5 and one highlighter is $4.

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Answer:

x = -20/9

Step-by-step explanation:

First we need to distribute this equation 4(4x+1) = 3x-4(6-x)+8. After distributing we get 16x+4 = 3x-24+4x+8. Next we add like terms to get 16x+4 = 7x-16. Now subtract 7x on both sides to get 9x+4 = -16. Now subtract -4 on both sides to get 9x = -20. Now divide by 9 on both sides to get x= -20/9.

Hope that helps! :)

Answer:

11,800 lb

Step-by-step explanation:

dnt worry i got my wayz :)

Answer:

11,800 lbs

Step-by-step explanation:

5.9x2,000=11,800

The standard deviation of the sample mean differences is; 0.6898

From online research, the sample size of the session regarding the number of people who will purchase the red box is; N₁ = 45

From online research, the sample size of the session regarding the number of people who will purchase the blue box is; N₂ = 60

Formula for standard deviation of the sample mean differences is;

σm₁ - σm₂ = √[(σ₁²/n₁) + (σ₂²/n₂)]

Thus;

σm₁ - σm₂ = √[(3.868²/45) + (2.933²/60)]

σm₁ - σm₂ = 0.6898

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Answer:

z = 10

Step-by-step explanation:

simplify to

2z + 10 + 5z + 10 = 10z-10

2+5z-10z=-10-10-10

-3z = -30

z = 10

give brainiest please!

hope this helps :)

Answer:

z = 10

Step-by-step explanation:

Distribute:

(2z + 5) + 5(z + 2) = 10(z - 1)

2z + 10 + 5(z + 2) = 10(z - 1)

and distribute again:

2z + 10 + 5(z + 2) = 10(z - 1)

2z + 10 + 5z +10 = 10(z - 1)

and add the 2 tens that are in bold.

2z + 10 + 5z +10 = 10(z - 1)

2x + 20 + 5z = 10(z-1)

Theres a lot more steps but just

comebine like terms

Distribute

Stubtract 20 from both sides

simplify

subtract 10z from both sides

simplfy

divide both sides by the same factor

and simplfy.

Answer:

Hi,

number of ways: 8

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|}Quater&dime&nickel\\------&---&---\\0&0&9\\0&1&7\\0&2&5\\0&3&3\\0&4&1\\1&0&4\\1&1&2\\1&2&0\\------&---&---\\\end{array}[/tex]

Step-by-step explanation:

since there is triangle , you use the formula

1/2 × b × h

as you can see the base is 6 and the height is 4, so

1/2 × b × h

= 1/2 × 6 × 4

=12

12 × 2 = 24 , you times by 2 because there is 2 triangle

There is also rectangle in the diagram, so you use the formula , length × breadth , the length is 8 and the breadth is 5, so

length x breath

= 5 × 8

=35

35 × 2 = 70 , times by 2 because you can see 2 rectangles with the same length and breadth

length x breath

= 8 × 6

= 48

this one is different because the length is 8 and the breadth is 6.

SA = 48 + 35 + 24

= 107 cm ²

Sorry for my bad eng ,its not my first language.

Answer:

The answer to the question is F

Step-by-step explanation:

Why it is an Scalene Triangle ,it because all the sides and angle are not equal

The height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper.

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

Here, h₀ = 1.52 m,      angle of elevation = 28⁰

         d = 331 m

Now, tan 28⁰ = h/d

         h = d. tan 28⁰

         h = 331 X 0.5317

         h = 175.99 m

Total height = h + h₀

                    = 175.99 + 1.52

                    = 177.51 m

Thus, the height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper..

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Answer:

Step-by-step explanation:

The answer is 177.5 dont add the .1

Answer: The answer will be 19

Answer: 23 years old

Step-by-step explanation:

Answer:

2 months

Explanation:

50 - 40 = 10

25-20 = 5

10/5 = 2

The months for which Joey have to belong to each before the costs are the same are 2 months.

Equation modelling is a method of writing a mathematical relation from a mathematical statement for mathematical analyses of the problem given.

Given is different fees structure of two gyms →  Gym A has a $40 sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month.

Assume that the months for which Joey have to belong to each before the costs are the same be x.

Then -

For Gym A -

Total cost for x months = C[A] = 25x + 40

For Gym B -

Total cost for x months = C[B] = 20x + 50

For same cost -

C[A] = C[B]

25x + 40 = 20x + 50

25x - 20x = 50 - 40

5x = 10

x = 2

Therefore, the months for which Joey have to belong to each before the costs are the same are 2 months.

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There are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have the total number of students = 18

The number of ways the club send 4 students to the next debate is:

= C(18, 4)

[tex]= \rm \dfrac{18!}{4!(18-4)!}[/tex]

= 3060

Thus, there are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

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Answer: 1:0.75

Step-by-step explanation:

Ratio 4 to 3 = 4:3

Simplified Ratio 4.00:3.00

Ratio in Form 1:n 1:0.75

Ratio in Form n:1 1.33:1

Answer: 17.2

Step-by-step explanation:

By the Pythagorean theorem,

[tex]10^{2}+14^{2}=(AC)^{2}\\\\(AC)^{2}=296\\\\AC=\sqrt{296} \approx \boxed{17.2}[/tex]

Answer:

6

Step-by-step explanation:

I use the information I from my Nathan teacher

i cant help you with that bc there is no graph so...

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

As the measure of the 75 degree angle is less than the measure of the 80 degree angle, rule out RS.

Also, the two triangles with the 80 degree angle are congruent, so PQ=QR.

This leavesc us with SP

Answer:

Mean: 4.7

Mode: 2

Median: 4.5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Reflection over the X-axis

All point passes, (x,-y)

Answer:

D.

Step-by-step explanation:

Reflection over the x-axis because the quadrilateral reflected.

Answer:

Step-by-step explanation:

[tex]1) \overline{BA} \cong \overline{BC}, \overline{DA} \cong \overline{EC} \text{ (given)}\\2) \overline{BD} \cong \overline{BE}[/tex]  (congruent segments subtracted from congruent segments form congruent segments)

Answer:

1. c. statistical inference

19. d. statistical inference

20. b. relative frequency distribution

The distance between library and park is 6√2 miles and the distance between park and field is 6√11 miles.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Here, mark the park as A, Home as B, Library as C and field as D.

  Now, CD = 18 miles

            BC = 4 miles

we have to find AC (distance between library and park)

   BD = BC + CD = 18 + 4 = 22 miles

 Using property of similar triangles,

        AD² = BD X CD

         AD² = 22 X 18

         AD = √22 X √18

         AD = 6√11 miles

By Pythagoras theorem,

         AD² = AC² + CD²

        396 = AC² + 324

         AC² = 396 - 324

         AC² = 72

           AC = √72

           AC = 6√2 miles

Thus, the distance between library and park is 6√2 miles and the distance between park and field is 6√11 miles.

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Answer:

x=  -4, y = 4.

Step-by-step explanation:

first, divide the first equation by its G.C.D (5), to obtain its simplest form.

5x/5 + 5y/5 = 0/5 to obtain x + y = 0.

Then, find the value of y by rearranging the second equation.

y = 36 + 8x. (Rem; when 8x moves to the other side of the equation, it changes the sign)

Now substitute the value of y (36 + 8x) in the first equation which is x + y = 0.

x + 36+8x = 0

Put like terms together.

36 + 9x = 0

move 9x to the other side and change its sign.

36 = -9x

divide both sides by 9,

x = -4.

Lastly, find the value of y by replacing the value of x in either equation.

-8(-4) + y = 36

32 + y = 36

rearrange to obtain

y = 36 - 32

y = 4.

prolly 4.36 just use the Pythagorean theorem

The area of the sector is 188.9 km².

A sector is a plane figure enclosed by two radii and an arc between them.

To calculate the area of the sector, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the area of the sector is 188.9 km².

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