I would like step by step explanation for this problem :) thank you

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \mathsf{x + x + 2 + 2x = - 2}[/tex]

Collect like terms

[tex] \mathsf{4x + 2 = - 2}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathsf{4x = - 2 - 2}[/tex]

Calculate

[tex] \mathsf{4x = - 4}[/tex]

Divide both sides of the equation by 4

[tex] \mathsf{ \frac{4x}{4} = \frac{ - 4}{4} }[/tex]

Calculate

[tex] \mathsf{x = - 1}[/tex]

Hope I helped!

Best regards!

Answer:

-2

Step-by-step explanation:

Because it says it in the problem.

Since you don't know the value of x you make that a zero.

You add the x's and you get zero.

2+2x=2

= -2

Answer:

2 x 10 8 x 1 .349 x 1

Step-by-step explanation:

Answer: 55 m²

Step-by-step explanation:

The arc length of a half-circle is πr, so the area of the curved surface is A = πrl = π(2.5 m)(7 m) = 17.5π m² ≈ 55 m²

Answer:

2-x

Step-by-step explanation:

Answer:

Step-by-step explanation:

any two points on dotted line are (0,0) and (4,3)

[tex]slope=\frac{3-0}{4-0} =3/4\\eq.~ of~ dotted~ line~ is ~y=\frac{3}{4} \\consider~the~inequality~ y<\frac{3}{4} x \\take ~any~point~in~the~shaded~region,~let ~x=1,y=0\\\\0<\frac{3}{4}\\which~is~true.\\Hence~y<\frac{3}{4} x[/tex]

Answer:

4X > 3Y

Step-by-step explanaition

The number on the x axis will always be larger than the one on the y-axis because if x is 4 y will be 3

Sorry if this is wrong

Answer:

k = -1

Step-by-step explanation:

-3(k-8)-(k+5)=23

Distribute

-3k +24 -k-5 = 23

Combine like terms

-4k +19 = 23

Subtract 19 from each side

-4k +19-19 = 23-19

-4k = 4

Divide by -4

-4k/-4 = 4/-4

k = -1

Answer:

  k = -1

Step-by-step explanation:

Use the distributive property to eliminate parentheses. That property tells you that the outside factor multiplies each term inside parentheses:

  -3(k -8) -(k +5) = 23

  -3k -3(-8) -k -(+5) = 23

  -3k +24 -k -5 = 23 . . . . simplify

  -4k +19 = 23 . . . . . . . . . collect terms

  -4k = 4 . . . . . . . . . . . . . subtract 19 from both sides

  k = -1 . . . . . . . . . . . . . . . divide both sides by -4

_____

The rule for manipulating equations is, "any operation performed on one side of the equation must also be performed on the other side." Operations include addition, subtraction, multiplication, division, application of a function. Using the distributive property and collecting terms are ways to simplify equations that don't affect the truth of the equal sign (if those are done correctly).

In general, you make use of inverse operations to undo the operations you don't want. The goal is to get the variable by itself on one side of the equal sign.

Answer:

3 inches by 1 inches or 6 inches by 2 inches. Both answera are correct

Step-by-step explanation:

just an equivalent ratio

The measurement pairs that could be the dimensions of Rectangle B are;

The scaled copy of a shape is derived if the original figure is dilated by a constant

Given the measure of the sides of rectangle A:

Length = 9in

Width = 3in

Get the dilation factor

Dilation factor k = ratio of the sides

k = 9/3

k = 3

This means that rectangle B must also have the same scale factor as A.

The possible dimension pairs are 6in by 2in and 3in and 1in since the ratio of their sides is also 3;

k = 6/2 =3

k = 3/1 = 3

Learn more here: https://brainly.com/question/13754381

Answer:

2x+3x-15=180°

Step-by-step explanation:

When two angles are supplementary, their angles would equal to 180° total when added together. In this answer, the two angles are added together to create 180°.

Answer:

The answer is D

Step-by-step explanation:

Supplementary angles add up to be 180 degrees, so you put the two angles together equal to that

Answer:

4860 ft^2

Step-by-step explanation:

9 feet is represented by 1 inch.

● 9 => 1

Square both sides

● 81 => 1

So a 81 ft^2 square is represented by a 1 in^2 square (picture below)

■■■■■■■■■■■■■■■■■■■■■■■■■■

The gym's area in the blueprint is 60 in^2

That 60 1in^2 squares.

● 1 => 81

● 1×60 => 81×60

We have multiplied both sides by 60

● 60 => 4860

So the original are is 4860 ft^2

The actual square footage of the gym will be 4860 square feet.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The blueprint scale is 1 inch : 9 feet.

Then the scale factor will be (1/9).

If the gym's area is 60 square inches on the blueprint.

Then the actual square footage of the gym will be

⇒ 60 / (scale factor)²

⇒ 60 / (1/9)²

⇒ 60 x 81

⇒ 4860 square feet

More about the dilation link is given below.

https://brainly.com/question/2856466

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Greetings from Brasil...

Let's apply the given formula:

A = (1/2)·B·H

The base of this polygon (in this case, the triangle) is B

B = X² - 2X + 6

The height of this polygon is H and is H

H = X + 4

Applying these values (B and H) in the given formula.....

A = (1/2)·B·H

A = (1/2)·(X² - 2X + 6)·(X + 4)

A = (1/2)·(X³ + 2X² - 2X + 24)

A = (X³/2) + X² - X + 12

OR

A = (X³ + 2X² - 2X + 24)/2

Answer:

First find hypotenuses

Step-by-step explanation:

First you must find h by using formula

A^2+b^2=c^2 when you find this you already given base and put the c you find is h and b is given in the formula you will get area

Answer:

b.y=3

Step-by-step explanation:

you just divide 24 by 8 or think of 8 times what what would give you 24

The 32 angle and q added together is a vertical angle of the 76 angle.

This means they need to be the same.

32 + q = 76

q = 76 - 32

q = 44

Answer:

Add 5, and then multiply by 2

Step-by-step explanation:

Answer:

Surface Area= 498 cm²

Step-by-step explanation:

To calculate the surface area of this composite shape, work out the area of each face and add them together (break this composite figure into two shapes)

- Calculate the areas of the different sized faces

7 x 7 = 49

12 x 7 = 84

12 x 7 = 84

- Now, multiply these areas be number of corresponding faces

49 x 2 = 98

84 x 2 = 168

84 x 2 = 168

- Add these areas together

98 + 168 + 168 = 434

Now do the same for the shape above it

2 x 2 = 4  →  4 x 2 = 8

2 x 7 = 14 → 14 x 2 = 28

7 x 2 = 14 → 14 x 2 = 28  = 64

Add the surface areas together : 434 + 64 = 498 cm²

I HOPE THIS HELPED YOU :)

Answer:

.466.7 miles

Step-by-step explanation:

[tex]total \: cost - rental \: cost = \: the \: total \: cost \: for \: travel \: in \: miles[/tex]

[tex]200 - 59.99 = 140.01 [/tex]

[tex]\ 140.01 \div 0.30 = 466.7 \: miles[/tex]

Answer:

Hi!

1.Well, let's try simplifying 4:18 so we can compare.

If we divide 4:18 by 2, we get 2:9  

We can see that 2:9 =/= 2:12

Thus, the two are not equivalent ratios.

2. 5:20 and 15:60 are equivalent, 5:20 x 3 to both numbers is 15:60

Therefore, It is equivalent.

3. 17 times 4 is 68 and 3 times 4 is 12. 17:3 and 68:12 are equivalent because you can times and divide them into each other

4. He read for 180 minutes.  

You can find that because every time he practices math for five minutes, he reads for 20, and 45 is 5, 9 times. So you multiply 20 by 9.

5. If he eats 3 slices in 2 minutes, he will have eaten 15 pieces in 10 minutes.

6. For this one, I hope my calculations are correct, but I do NOT think August made the correct recipe using the correct ratio.

If #6 is wrong, I sincerely Apologize, but I know for a fact #5 is Correct.

Hope this helps! If you need anymore help Let me know i'd be happy to help you!

~~~PicklePoppers~~~

The 1st player would have to say 15 and 16. NOT 17.

No matter how it is.

Ex:

14,15,16

15,16

Answer:

90%

Step-by-step explanation:

Experimental probability that in a group of 4 students, at least one of them has hazel eyes is 85%.

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

According to the question

In a school, 30% of the students have hazel eyes.

The number of hazel eyes in data is 17

The total number of data sets are 20.

Experimental probability = [tex]\frac{17}{20}[/tex] × 100%

= 85%

Hence, experimental probability that in a group of 4 students, at least one of them has hazel eyes is 85%.

Find out more information about experimental probability here

https://brainly.com/question/15729871

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Answer:

They are not chocolatey enough

Step-by-step explanation: They’re are 5 missing chocolate chips

Step-by-step explanation:

-16 + 3n = - 8 - 5n

Bringing like terms on one side

3n + 5n = - 8 + 16

8n = 8

n = 8/8

N = 1

Answer:

n=1

Step-by-step explanation:

-16+3n=-8-5n

-16+8=-5n-3n

-8=-8n

-8n=-8

n=1

Proof:

-16+3n=-8-5n

-16+3(1)=-8-5(1)

-16+3=-8-5

-13=-13

Hope this helps ;) ❤❤❤

Answer:

C. The function shown on the graph has a greater rate of change, but a lower starting point.

Step-by-step explanation

5x-6=y (equation on the graph)

4x+2=y

5 is a greater rate of change (slope) compare to 4, however the y-intercept on the graph is lower (starting point) compare to the equation (2)

Answer:

Step-by-step explanation:

[tex]4\div \:2+5-3\\=2+5-3\\=4\\\\3+5\times \:8\div \:2\\=3+20\\=23[/tex]

Answer:

[tex] \sf{ii) \: \: 23}[/tex]

Step-by-step explanation:

Use PEMDAS rule:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now, let's solve:

i ) [tex] \sf{4 \div 2 + 5 - 3}[/tex]

[tex] \sf{ = 2 + 5 - 3}[/tex]

[tex] \sf{ = 7 - 3}[/tex]

[tex] \sf{ = 4}[/tex]

ii)[tex]3 + 5 \times 8 \div 2[/tex]

[tex] \sf{ =3 + 40 \div 2}[/tex]

[tex] \sf{ = 3 + 20}[/tex]

[tex] \sf{ = 23}[/tex]

Hope I helped!

Best regards!!

Answer:

(-50) x 30 = -1850 + 350

-1500 = -1500

true

Answer:

Step-by-step explanation:

It is example of "Distributive Law":

                                                         a × (b + c)  =  a × b  +  a × c

When we multiply a number by a group of numbers added together we get the same answer as when we do each multiply separately then add them.

Of course, if you don't remember the distributive law, you can verify it just by doing the operations on both sides of the equality:

(-50) × [37 + (-7) ] = (-50) × 37 + (-50) × (-7)

(-50) × [30]         =    (-1850) + 350  

  - 1500             =          - 1500          ← it's true

Answer:

C

Step-by-step explanation:

The question states that Car A after two hours is at 95. We can represent this as (2, 95). We know the slope is 40, which means we can find the y intercept of Car A using point slope form: y = 40(x - 2) + 95. y = 40x + 15. This means that Car B is 5 miles east of car a, as the Y intercept of Car B is 5 greater.  

Answer:

the area represents 40.5 square miles

Step-by-step explanation:

Since 1 inch represents 3 miles, then 1 inch x 1 inch = 1 square inch represents 3 mi x 3 mi = 9 square miles

Therefore, 4.5 square inches would represent 4.5 x 9 square miles = 40.5 square miles

Answer:

  (A) In step 1, the slope of the line should be One-half

Step-by-step explanation:

Terri calculated the slope as (x1 -x2)/(y1 -y2). Her first error was using this formula, when she should have used ...

  m = (y1 -y2)/(x1 -x2)

  = (6 -3)/(4 -(-2)) = 3/6 = 1/2

The best of the offered descriptions is ...

  In step 1, the slope of the line should be One-half

Answer:

y = (1/2)x + 4

Step-by-step explanation:

As we move from the point (-2, 3) to the point (4, 6), x (the 'run') increases by 6    and y (the 'rise')increases by 3.  Therefore the slope of the line connecting the two points is m = rise / run = 3/6, or m = 1/2.

We want the slope-intercept form of the equation of this line.   The basic form is y = mx + b.  Arbitrarily choosing to use the point (4, 6) and using m = 1/2, we get:

6 = (1/2)(4) + b, or b = 4.

Then the desired equation is y = mx + b, or y = (1/2)x + 4