Subtact: (9x + 5) - (4x + 3)​

Answer:

Step-by-step explanation:

Simplifying

6x + -3 = (3x + -2)

Reorder the terms:

-3 + 6x = (3x + -2)

Reorder the terms:

-3 + 6x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)

-3 + 6x = -2 + 3x

Solving

-3 + 6x = -2 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-3 + 6x + -3x = -2 + 3x + -3x

Combine like terms: 6x + -3x = 3x

-3 + 3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0

-3 + 3x = -2 + 0

-3 + 3x = -2

Add '3' to each side of the equation.

-3 + 3 + 3x = -2 + 3

Combine like terms: -3 + 3 = 0

0 + 3x = -2 + 3

3x = -2 + 3

Combine like terms: -2 + 3 = 1

3x = 1

Divide each side by '3'.

x = 0.3333333333

Simplifying

x = 0.3333333333

Answer:

Step-by-step explanation:

first step

let's create the equation word problem

let's solve

let my mother's and sister's age be x and y respectively

according to the first condition,x=4y....(I)

according to the 2nd condition,x+5=2(y+5×2).....(ii)

so the system of linear equations is

x=4y

x+5=2(y+5×2)

gets from the second equation

x+5=2(y+10)

x+5=2y+20

4y+5=2y+20 (as x=4y)

2y=15

y=7.5

so the age of mother is

x=4.(7.5)

x=30

Answer:

given:- radius of the circle = 6 cm

to find:- circumference of the circle = ?

solution:- circumference of circle = 2πr^2

= 2x 22/7 (6)^2

= 2x 22/7 x 36

= 44/7 x 36

= 1584/7

= 226.3

Answer:

Step-by-step explanation:

6

Answer:

324

Step-by-step explanation:

Answer:

the required ratio which forms proportion with 16/20 is D.) 4/5

Step-by-step explanation:

when you will simplify the ratio you will get

4/5

Given: (a) [tex]2(x+3)=2x+6[/tex] and (b) [tex]4(y-3)=4y-12[/tex].

To find: The expanded form of the given expressions.

(c) [tex]4(m+n)=4m+4n[/tex]       (using [tex]a(b+c)=ab+ac[/tex])

(d) [tex]3(5-q)=15-3q[/tex]           (using [tex]a(b-c)=ab-ac[/tex])

(e) [tex]5(2c+1)=10c+5[/tex]          (using [tex]a(b+c)=ab+ac[/tex])

(f) [tex]3(2x-5)=6x-15[/tex]          (using [tex]a(b-c)=ab-ac[/tex])

(g) [tex]7(4b-1)=28b-7[/tex]          (using [tex]a(b-c)=ab-ac[/tex])

(h) [tex]3(2x+y-5)=3((2x+y)-5)[/tex]

⇒[tex]3(2x+y-5)=3(2x+y)-15[/tex]         (using [tex]a(b-c)=ab-ac[/tex])

⇒[tex]3(2x+y-5)=6x+3y-15[/tex]            (using [tex]a(b+c)=ab+ac[/tex])

(i) [tex]2(6a-4b+3)=2((6a-4b)+3)[/tex]

⇒[tex]2(6a-4b+3)=2(6a-4b)+6[/tex]         (using [tex]a(b+c)=ab+ac[/tex])

⇒[tex]2(6a-4b+3)=12a-8b+6[/tex]            (using [tex]a(b-c)=ab-ac[/tex])

(j)[tex]6(m+n+p)=6((m+n)+p)[/tex]

⇒ [tex]6(m+n+p)=6(m+n)+6p[/tex]           (using [tex]a(b+c)=ab+ac[/tex])

⇒ [tex]6(m+n+p)=6m+6n+6p[/tex]            (using [tex]a(b+c)=ab+ac[/tex])

(k) [tex]y(y+2)=y^2+2y[/tex]          (using [tex]a(b+c)=ab+ac[/tex])

(l) [tex]g(g-3)=g^2-3g[/tex]           (using [tex]a(b-c)=ab-ac[/tex])

(m) [tex]n(4-n)=4n-n^2[/tex]        (using [tex]a(b-c)=ab-ac[/tex])

(n) [tex]a(b+c)=ab+ac[/tex]           (using [tex]a(b+c)=ab+ac[/tex])

(o) [tex]s(3s-4)=3s^2-4s[/tex]        (using [tex]a(b-c)=ab-ac[/tex])

(p) [tex]2x(x+5)=2x^2+10x[/tex]     (using [tex]a(b+c)=ab+ac[/tex])

(q) [tex]4y(x-3)=4xy-12y[/tex]      (using [tex]a(b-c)=ab-ac[/tex])

(r) [tex]5a(2b-5)=10ab-25a[/tex]     (using [tex]a(b-c)=ab-ac[/tex])

(s) [tex]4a(3b+2c)=12ab+8ac[/tex]    (using [tex]a(b+c)=ab+ac[/tex])

(t) [tex]5p(4p-5q)=20p^2-25pq[/tex]    (using [tex]a(b-c)=ab-ac[/tex])

that would be -1 happy halloween

Answer:

4

Step-by-step explanation:

-5,-4,-3,-2,-1,0,1,2,3, 4

Answer:

option A is correct ans of this qn

Answer:

x² - 10 = 71

that would be how the equation would be written out

Answer:

ooh this hard um...

Step-by-step explanation:

isn't that impossible?

Answer:

-4 and -1

Step-by-step explanation:

Answer:

QS = 38

Step-by-step explanation:

First, we need to find the value of x.

Given that R is the midpoint of Q and S, that means QR = RS.

6x-11 = 2x+9

Solve.

x = 5.

To find QS, we need to solve the following equation:

6x-11 + 2x+9

Substitute 5 for x.

6(5)-11+2(5)+9

30-11+10+9

38

Answer:

50

Step-by-step explanation:

if you dividde 24 by 20 you get 1.2 if you plug 1.2 into an inverse tangent calculator you get 50.19

The angle of elevation to the nearest degree of Juan's line of sight to the top of the tree is 50.19.

Trigonometric functions are the functions that include trigonometric identities such as sine, cosine, tangents, secant, and, cot.

Juan is looking up to the top of a tree that is 31 feet tall. He is standing 20 feet from the tree.

The angle of elevation to the nearest degree of Juan's line of sight to the top of the tree.

Tan Ф = perpendicular/ base

          = 24/ 20

Tan Ф  = 1.2

Ф  =[tex]( Tan )^{-1}1.2[/tex]

Ф  = 50.19

Learn more about trigonometric identities;

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Answer:

Cant answer without the polygons.

Step-by-step explanation:

To answer this question, I would need to see polygon GHJK and GHJK prime on a graph.

Answer:1668.84

Step-by-step explanation:

Answer:

1668.84  

Step-by-step explanation:

Answer:

The sides of a central angle are two radii (aka radius) of the circle

Step-by-step explanation:

Answer:

Radii

Step-by-step explanation:

Answer: The fourth one

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent.

x : y

1 : 0.5

2 : 1

7 : 3.5

8 : 4

The unit ratio of this proportional relationship if x ratio y is 1 : 0.5

Hope this helped!

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

.........,.............

Answer:

B) -7

Step-by-step explanation:

9-4|(-5)+1|

9-4|-4|

9-4(4)

9-16= -7

I hope this helps!

Answer:

C. r = 3 - cos theta

Step-by-step explanation:

The other user who answered was correct.

The equation is belongs to the graph of the limacon curve is r = 3 - cos [tex]\theta[/tex]

The correct option is C.

At θ = 180°, the value of r is positive, but just a fraction of the value at

θ = 0°. This eliminates choices 'b' and 'd'.

As,  the equation of a horizontal cardiod is r= a ± a cos θ.

Here, from the figure we have horizontal cardiod.

Then, the equation is belongs to limacon curve is r = 3 - cos [tex]\theta[/tex].

Learn more about limacon curve here:

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the number can't be 2222

Answer:

6 cookies

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

[tex]180=31+90+x\\\\180=121+x\\x=180-121\\x=59[/tex]

using sum of angles in a triangle

Step-by-step explanation:

Let the missing angle be ' x ' .

Now, Set up an equation and solve for x

[tex] \tt{x \degree + 90 \degree \: + 31 \degree = 180 \degree}[/tex] { Sum of angles of a triangle }

⇢ [tex] \tt{x \degree + 121 \degree = 180 \degree}[/tex]

⇢ [tex] \tt{ \: x \degree = 180 \degree - 121 \degree}[/tex]

⇢ [tex] \tt{x \degree = 59 \degree}[/tex]

[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{59 \degree}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

어, 난 수학을 잘 못하고 좀 게 으르니까 미안해

Answer:

proportional                                            

Step-by-step explanation:

672+6=......+97

[tex]672 + 6 = x + 97 \\ x = 672 + 6 - 97 \\ x = 581[/tex]

none of the options.

Hope that was helpful.

Answer:

1. [tex]f(x) = 6x + 14[/tex]

2. $14 flat fee

Step-by-step explanation:

In this case, [tex]f(x)[/tex] where [tex]x[/tex] is time (hour). $14 dollar stays constant when [tex]x = 0[/tex]. This is the flat rate fee.

Let's do a sanity check:

[tex]f(1) = 6(1) + 14 = 20[/tex]

[tex]f(1.5) = 3(1.5) + 14 = 23[/tex]

[tex]f(2) = 6(2) + 14 = 26[/tex]

Looks like A. is the answer.

Answer: 58 adults and 38 children went to the concert.

Step-by-step explanation:

Let x= adults , y= children

As per given ,

x+y = 96  (i)

3.75x+3.50y = 350.50     (ii)

Multiply 3.75 to (i) , we get

3.75 x + 3.75y  = 360  (iii)

Eliminate (ii) from (iii)

[tex]3.75 y-3.50y= 360-350.50\\\\\Rightarrow\ 0.25y= 9.5\\\\\Rightarrow\ y=\dfrac{9.5}{0.25}\\\\\Rightarrow\ y= 38[/tex]

put this in (i) ,  x+38 = 96

x= 96-38 = 58

So, 58 adults and 38 children went to the concert.