Simplify the following if x = 3 & y = 4:

1. 2x + y =

2. 3x + 2y =

3. 3y + 2x =

4. 10x + 4y + 2x =

5. 6y + 5x =

6. 7x + 4y =

Use your knowledge about parentheses and substitution to solve the following:

q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

7. 2(x+4) + 10 =

8. 3(4x) + 4 =

9. 10(xy) =

10. 2(x + y) =

11. 3(rs) + 4(x)

12. 2(q) + 2(x + t) =

13. 6(3t + 4s) =

14. 10(10x) + 10y =

15. x(xy) =

16. r(s)(t) =

17. (r)(s)(t)(x)(y) =

18. 6(2x + 3Y) =

Answer: 37

Step-by-step explanation:

74=2x

37=x

You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.

I'm just confused about how the answer choices are only 108 and 18.

Answer:

[tex]\huge\boxed{\sf x = 37}[/tex]

Step-by-step explanation:

Since, vertically opposite angles are equal:

74 = 2x

Divide 2 to both sides

74 / 2 = x

37 = x

OR

x = 37

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex]

Step-by-step explanation:

First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is [tex]7+\frac{2x-11}{x^2-6x+9}[/tex].

Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, [tex](x-3)^{2}[/tex].

Finally, we have all of our necessary information to set up all of our partial fractions.

This gives us [tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex], which is our answer.

Answer:

x=21/5

Step-by-step explanation:

5x:9 = 7:3

Turn the ratios into fractions:

5x/9 = 7/3

Then cross mutiply

15x=63

x=21/5

Answer:

Megalobox black lagoon doraemon fate/grand order made in abyss high rise invasion dusk maiden of amnesia mahou shoujo site black butler ergo proxy I think are some

Step-by-step explanation:

378 inches squared

its (18x15)+(6x18)

Answer:

I believe your answer is 2666.67

Step-by-step explanation:

26,000-18,000=8,000

8,000/3=2666.6667

I hope this helped :D

Answer:

315

Step-by-step explanation:

45 x 7 = 315

Multiples of 7: 7, 14, 21, 28... 301, 308, 315

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405

If you need further explanation, let me know!

- profparis

Step-by-step explanation:

Least common multiple of 45 and 7 is 315

Answer:

  8 cm

Step-by-step explanation:

You want the base of a triangle, given its height is 3 cm. From the base of 12 cm, the same triangle has a height of 2 cm.

The area of a triangle is given by the formula ...

  A = 1/2bh

The area will be the same for any (base, height) pair of dimensions. The height is always measured perpendicular to the base. The base is generally one side of the triangle.

Here, the longest side is labeled 12 cm, and the perpendicular distance to the opposite vertex (height) is labeled 2 cm. This means the triangle area is ...

  A = (1/2)(12 cm)(2 cm) = 12 cm²

The distance perpendicular to the unknown side is shown as 3 cm. This gives you a clue that using the area of the triangle to find the unknown side is probably useful.

  A = 1/2bh

  12 cm² = 1/2(b)(3 cm)

  8 cm = b . . . . . . . . . . . . multiply by 2/(3 cm)

The value that goes in the box is 8.

__

Additional comment

The attachment is drawn to scale.

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Answer:

y = 71

z = 18

x = 14

Step-by-step explanation:

Figure on the right is simply figure on the left but flipped on its side. we know this because the question tells us the shapes are congruent (which means equal, the same)

The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, we're provided that:

The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)

It is compounding monthly, thus, 12 times a year, or n = 12

The initial amount that the credit card of Victor has = p = $1349.34

Time for which interest was compounded = a year = 1 = t

Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]

Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

Learn more about compound interest here:

https://brainly.com/question/1329401

Answer:

C

Step-by-step explanation:

I took the test and passed with 100

Answer:

the table in which element are systematically arranged into various period based on their similar properties is called periodic table

Answer: it is a table of all the elements and shows you all the abbreviations for each one.

Step-by-step explanation:

there is a picture attached if you want to see what it looks like.

It basically just tells and shows you about all the different materials and/or elements.

Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

Their angles are the same and the shapes are similar.

Answer:

Yes they do.

Step-by-step explanation:

All of the angles are the same shape and size therefore are equal to each other.

Answer: 3.375

Step-by-step explanation:

27 divided by 8 equals 3.375

Assuming each of the 8  person gets equal share of the whole 27 litre lemonade, the amount of lemonade each person would get is 3.375 litres.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b = a[/tex] divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )

For this case, we're specified that:

Assuming that they all get equal share and we want to know the amount each person will get, we get:

Amount of lemonade each of those 8 person would get = 27 litres / 8

[tex]27/8 = 3.375[/tex]

Thus, each person gets 3.375 litres of the considered lemonade.

Learn more about division here:

https://brainly.com/question/26411682

#SPJ4

Answer:

[tex]\boxed{33.5 \ \text{feet/second}}[/tex]

Step-by-step explanation:

To find the unit rate, we need to find out how much distance does the cyclist travel in 1 second. For that, we need to use the unitary method. A unitary method is a method that determines the unit rate of an object.

Note: Since the cyclist travels at a constant rate, unitary method can be used.

[tex]\rightarrow 837 \dfrac{1}{2} \ \text{feet in 25 seconds}[/tex]

[tex]\rightarrow 837.5 \ \text{feet} = 25 \ \text{seconds}[/tex]

Divide both sides by 25:

[tex]\rightarrow \dfrac{837.5}{25} \ \text{feet} = \dfrac{25}{25} \ \text{seconds}[/tex]

[tex]\rightarrow 33.5 \ \text{feet} = 1 \ \text{seconds}[/tex]

[tex]\rightarrow \boxed{33.5 \ \text{feet/second}}[/tex]

Learn more about unitary method: https://brainly.com/question/19423643

Answer:

(2x+3y)(x2+3x+2). it may helps you

Answer:

[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]

Step-by-step explanation:

[tex]\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)[/tex]

Expand by distributing terms:-

[tex]\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)[/tex]

Expand by distributing terms:-

[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]

~

Answer:

x2-y2=49

Step-by-step explanation:

the radius is the square root of the number after the equal sign.  So the only choice with a number with square root 7 is x2-y2=49

Answer:

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

3a+2(4a-b)=

3a+8a-2b=

[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]

Answer: $804

Step-by-step explanation: 1. Set the equation to x/1200=67/100 2. Cross-multiply so you get 100x=80,400 3. Now divide both sides by 100 to get x=804 which is your final answer 4. Put the dollar sign in front to denote units.

Answer:

1 positive correlation

2 A

3 negative

Step-by-step explanation:

Hope this helps!:)

Hello!

Total brownies: 16 (so that's the denominator of the fraction)

Brownies with nuts: 6 (that's the numerator of our fraction)

The fraction is:

[tex]\bf{\displaystyle\frac{6}{16}}[/tex]

Divide the numerator (6) and denominator (16) by 2:

[tex]\bold{\displaystyle\frac{3}{8}}[/tex]

That's the answer.

I hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

⇒ Given:

Conner made 16 brownies.

Put nuts on 6 brownies.

⇒ To Find:

Write the simplified fraction of the brownies that had nuts.

⇒ Solution:

Since Conner made 16 brownies:

16 brownies is the total also known as denominator of a fraction.

Since, Conner put nuts on 6 brownies:

6 brownies is the ones that has nuts also known as numerator of a  fraction.

Thus, the fraction is [tex]\frac{6}{16}[/tex].

It a even number thus, we can simplify:

[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]

[tex]=\frac{2\cdot \:3}{16}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8[/tex]

[tex]=\frac{2\cdot \:3}{2\cdot \:8}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{3}{8}[/tex]

Therefore, the simplify fraction of the brownies that had nuts is [tex]\frac{3}{8}[/tex]

`~lenvy~`

The worth of the collectible car in five years if its value is going up by 10% every year would be $46,704.79

If the value of the  collectible car is increasing with time, it is said that the  collectible car is appreciating in value.

The formula for calculating future value with appreciation:

FV = P (1 + r)^n

$29,000(1.1^5) = $46,704.79

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

The answer is 19500

Step-by-step explanation:

2 times 25 is 50 so just multiply 39,000 by 50% and you get ur answer

Answer:

11) [tex]5\sqrt{7}[/tex] yd

12) [tex]2\sqrt{10}[/tex] cm

13) 9 ft

14) [tex]\sqrt{95}[/tex] cm

15) [tex]5\sqrt{5}[/tex] km

16) [tex]\sqrt{39}[/tex] yd

Answer: Jason's team.

Step-by-step explanation: When finding the MAD, you need to find the mean of the data, which they said is 10.  The next step is to subtract numbers from the data from the mean, which is 10 for all three dot plots. For example, for Jason's team, we need to subtract all the 7's, 8's, 11's, 12's, and 13's, because those are the only parts of the plot with data.  Let's try subtracting 7 - 10.  The answer is -3, but we need to make it positive, because that's how data works, so it's actually 3.  You keep doing this for all three plots, which is provided below:

Jason's Team: 3, 3, 2, 2, 2, 1, 2, 3, 3, 3.

Hannah's Team: 3, 2, 2, 1, 0, 0, 1, 1, 3, 3.

Dion's Team: 1, 1, 1, 1, 0, 0, 0, 0, 1, 3.

Now, the next step is adding all these values and dividing it by ten, since that's how many numbers there are for the data.

Jason's Team MAD: 2.4.

Hannah's Team MAD: 1.6.

Dion's Team MAD: 0.8

As you can see, Jason's Team has the greatest MAD, which is your answer.

Let me know if this is right! :)

x^2 - 9x - 3x + 27

x^2 - 12x + 27

well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]

now let's apply as 12% tax on that sale amount

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

24÷4=6

4×6=24

Hope it helps :))

Answer:

(1). [tex]5^{4}[/tex] × [tex]13^{7}[/tex] ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( [tex]13^{-2}[/tex] · [tex]13^{9}[/tex] ) = [tex](-5)^{3+1}[/tex] × [tex](13)^{-2+9}[/tex] = [tex](-5)^{4}[/tex] × [tex]13^{7}[/tex] = [tex]5^{4}[/tex] × [tex]13^{7}[/tex]

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x