x= 7 is the answer

Combine like terms

-3x=21

Divide both sides by 3

x=7

**Answer:**

[tex]:\implies \sf -6x + 3x = -21 \\ \\ \\ [/tex]

[tex]:\implies \sf - 3x = -21\\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{-21}{ - 3} \\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{21}{3} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{ \textsf { \textbf{x = 7}}}} \\ [/tex]

Are the ratios equivalent? 2/3 and 8/12 Explain.

**Answer:**

Yes.

**Step-by-step explanation:**

2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.

If two ratios are equal then the ratios are said to be in proportion and equivalent.

The **ratios** 2/3 and 8/12 are **equivalent**.

The simplest form of both **ratios** is 2/3.

The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.

We have,

Two **ratios**:

2/3 and 8/12

We will make the **ratios** in their **simplest** **form**:

2/3 is in the simplest form.

8/12 = 4x2/4x3 = 2/3 is the simplest form.

We see that both the **ratios** are **equal** so the ratios 2/3 and 8/12 are in **proportion**.

Thus,

The **ratios** 2/3 and 8/12 are **equivalent**.

The **simplest** form of both ratios is 2/3.

Learn more about **ratios** here:

https://brainly.com/question/2462048

#SPJ2

A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.

**Answer:**

**Step-by-step explanation:**

This questions bothers permutation since permutation talks about arrangement.

The number of ways n objects can be arranged is n! ways

n! = n(n-1)(n-2)!

If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;

5! = 5*4*3*2*1

5! = 20*6

**5! = 120 different arrangements**

When a figure is increased to make a larger image, are the two figures congruent?

**Answer:**

No because Congruent means the same, but since it's a different size than the original then they aren't the same.

**Step-by-step explanation:**

Can somebody explain and give examples on questions like

What is divisible by this number ?

**Answer:**

more than one digits.

**Step-by-step explanation:**

There are some simple divisibility rules to check this: A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0 (the number is then called even) A number is divisible by 3 if its sum of digits is divisible by 3. A number is divisible by 4 if the number consisting of its last two digits is divisible by 4

simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does he have left?

**Answer:**

7/10

**Step-by-step explanation:**

1/5=6

10%=3

30-6-3

21

21/30=7/10

Pentagons ABCDF and JKLMN below are similar, but not necessarily drawn to scale. Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm

**Answer:**

The answer is below

**Step-by-step explanation:**

The question is not complete, but I would show you how to answer a similar question.

We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.

From the image attached, we can see the lengths of the sides, hence we can find the values of x.

[tex]\frac{JN}{AE}=\frac{LM}{CD}\\ \\\frac{4.8}{4}=\frac{x}{3}\\ \\1.2=x/3\\\\x=3.6[/tex]

the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches

**Answer:**

**Step-by-step explanation:**

WILL MARK BRAINLEST FOR CORRECT ANSWER

STANDARD FORM

4x + 6y = 12

Find the X and Y intercepts

(0, ) ( ,0)

**Answer:**

Shouldn't it be (4,0) and (0,6)?

**Step-by-step explanation:**

need help asapp I'll brainlist u once u finish !!

**Answer:**

-3*-6*2^2+1

18*4+1

72+1

73

**Step-by-step explanation:**

2(5*-6*2-3)

2(-30*-1).

2*30

60

4*-6^2*2+2/10

4*36*2+2/10

4*72+2/10

288+2/10

290/10

29

9(-6-2^2)/6

9(-6-4)/6

9*10/6

90/6

15

0.82 divided by ___ = 0.0082.

Fill in the blank?

I think it is 100 is that right?

**Answer:**

100

**Step-by-step explanation:**

100 x 0.82 =0.0082

weavers are making a carpet from a scale drawing. The carpet will be 10 ft by 14 ft. Every 5 in. on the drawing represents 7 ft of carpet. What are the length and width of the scale drawing?

the answer is 9.2 in by 10 in

The **length** and the** width** of the** scale drawing **are **7.14 inches by 10 inches.**

Since every 5 inches on the **drawing **represents 7 ft of** carpet**, then the **width **of the** drawing **will be:

= 10 × 5/7 = 50/7 = **7.14 inches**

The **length **of the drawing will be:

= 14 × 5/7

=** 10 inches.**

Therefore, the **length **and the **width** of the scale drawing are 7.14 inches by 10 inches.

Read related link on:

https://brainly.com/question/18336040

Why is the base of the parallelogram 1/2 the circumference of the circle?

C**onsistent System of Equations**

**In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2**

Epicly epic epicness which is accounted to be epicly epic (36 points)

**Answer:**

epic

**Step-by-step explanation:**

**Answer:**

VERY EPIC

**Step-by-step explanation:**

Select the correct answer.

What is the sqare root of 75 in simplest form?

**Answer:**

75 = 25 x 3.

**Step-by-step explanation:**

this is the answer the picture above

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?

**Answer:**

$ 2.30

**Step-by-step explanation:**

Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

[tex]= \frac {8.5}{100}\times 12.99[/tex]

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

[tex]= \frac {8.5}{100}\times 39.99[/tex]

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all.

**Given :**

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.

**To Find :**

If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.

**Solution :**

Let, Ginger makes x pitchers of power smoothies :

[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]

Now, it is given that Ginger makes 6 pitchers of power smoothies.

Total scoops are :

[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]

Therefore, **number of scoops Ginger used is 84.**

Hence, this is the required solution.

HELP ASAP!

Find the LCM (least common multiple) of 30 and 22.

LCM =

A straight angle measures (5x - 50) degrees. What is the value of x?

**Answer:**

26

**Step-by-step explanation:**

180-50=130

130/5=26

I believe.

Can someone please help this is math? ill give BRAINLIEST

**Answer:**

27

**Step-by-step explanation:**

To solve this problem, let us follow it step by step;

Let Peter's number = P;

So;

⇒ P - 17

⇒ -2 (P - 17 )

⇒ -2 (P - 17 ) = -20

Solve the problem for P;

-2 (P - 17 ) = -20

-2P + 34 = -20

-2P = -20 -34

-2P = -54

** P = 27**

**Answer:**

Answer:

27

Step-by-step explanation:

To solve this problem, let us follow it step by step;

Let Peter's number = P;

So;

⇒ P - 17

⇒ -2 (P - 17 )

⇒ -2 (P - 17 ) = -20

Solve the problem for P;

-2 (P - 17 ) = -20

-2P + 34 = -20

-2P = -20 -34

-2P = -54

P = 27

**Step-by-step explanation:**

simplify show your work

4(1-3x)+7x-8

4-12x+7x-8

-12x+7x+4-8

-5x-4

The answer is -5x-4

Could you give me the brainlist?

4-12x+7x-8

-12x+7x+4-8

-5x-4

The answer is -5x-4

Could you give me the brainlist?

What is the reciprocal of -3 2/7

**Answer:**

7/23

**Step-by-step explanation:**

First you make it an improper fraction, which gets you 23/7. Then to find the reciprocal, you simply flip it over. Therefore you get 7/23.

There you go! Have a nice day. Mark brainliest if possible please ;)

h e l p

Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.

What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?

Answer:

4:9 is the ratio

Step-by-step explanation:

4 in Texas and 9 in Michigan

If a number has no pulse or minus sign, does that mean it’s usually a positive or negative number?

**Answer:**

positive

**Step-by-step explanation:**

**Answer:**

It means it is usually positive

**Step-by-step explanation:**

The positive sign is invisible if it is at the beginning of an equation number, if it is moved to the other side of the equal sign, than it turns the opposite charge. Hope this answers your question :)

Robin has read 3/4 of a book. Mark said he had read 1/2 as much as Robin. What fraction of the book has mark read.

Multiply the amount of book Robin read by 1/2.

3/4 x 1/2 = 3/8

Mark read 3/8 of the book.

fill in the missing number in the table for the equation y= -3 + 2

**y = -3x + 2?**

**Plug in the value x = 6.**

**y = -3(6) + 2**

**y = -18 + 2**

**y = -16**

**Hope this helps**

2 + 29m - 9m - 5 =

HELP

**Answer:**

20m-3

**Step-by-step explanation: hope that helps :)**

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan $255.94. What was the amount of the loan?

**Answer:**

$243.17

**Step-by-step explanation:**

X+(X*5.25/100)=255.94

Make x the subject

X=243.17

A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.3 m long. The woman hopes to land in the water at a point that is 13.7 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 89°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre.

**Answer:**

6.4 m

**Step-by-step explanation:**

The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.

Note that the woman used the rope to move down in

Applying the cosine rule;

[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]

[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]

[tex]c^{2} = 6.4 m[/tex]

Find the distance between the two points if rounded to the nearest tenth (-6,6) and (-3,3)

**Answer:**

**3**[tex]\sqrt{2}[/tex]** units**

**Step-by-step explanation:**

Given parameters:

Coordinates =** (-6,6) and (-3,3)**

**Unknown: **

The distance between them = ?

**Solution: **

To find the distance between two points, we use the expression below;

D = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

x₁ = -6 x₂ = -3

y₁ = 6 y₂ = 3

D = [tex]\sqrt{(-3 -(-6))^{2} + (3-6)^{2} }[/tex] = [tex]\sqrt{18}[/tex]

**D = 3**[tex]\sqrt{2}[/tex]** units**

Given that m=r-s/2nr

Make r the subject .

PLEASE I NEED IT NOW.

THANK YOU . WHOEVER ANSWERS FIRST I WILL GIVE A FOLLOW AND BRAINLIEST

**Step-by-step explanation:**

[tex]m = \frac{r - s}{2nr} [/tex]

m(2nr) = r-s

2×n×r×m = r-s

move the r on the right side to the left side

2nrm - r = -s

r ( 2nm - 1 ) = -s

[tex]r \: = \frac{ - s}{(2nm - 1)} [/tex]

**Answer:**

I think it will help you

Multiply. Write your answer as a fraction in simplest form.36x22Please help and by the way the question is 6 x 3 over 22 (fraction)
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