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Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

= [tex]\frac{21-1}{5}[/tex] - 1

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation

[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]

We carry out the three multiplications.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]

Now we make the ones that are marked.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]

Answer:

7(9 + 14)

Step-by-step explanation:

The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7.  Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)

So 35 + 63 = 7(9 + 14)

Answer:

= 98

Step-by-step explanation:

Answer:

Scale is 1/2

Step-by-step explanation:

5*1/2=5/2

12*1/2=6

General method:

Given numbers are 2.23 bar and 2.24 bar

Two rational numbers between them

= 2.232525... and 2.239899...

Mean Method:

Let X = 2.232323...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.232323...×100

⇛100X = 223.232323...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 223.232323...

X = 2.232323...

(-)

__________________

99X = 221.000000...

__________________

⇛99X = 221

⇛X = 221/99

and

Let X = 2.242424...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.242424...×10

⇛100X = 224.242424...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 224.242424...

X = 2.242424...

(-)

_________________

99X = 222.000000

_________________

⇛92X = 222

⇛X = 222/99

Now we have 221/99 and 222/99

The rational number between them by mean method (a+b)/2

⇛{(221/99)+(222/99)}/2

⇛(443/99)/2

⇛443/198

and Second rational number

⇛{(221/99)+(443/198)}/2

⇛{(442+443)/198}/2

⇛(885/198)/2

⇛885/396

Answer: The two rational numbers between them are 443/198 and 885/396.

also read similar questions: Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.

https://brainly.com/question/69070?referrer

Answer:

New Price = 1.55c

Step-by-step explanation:

Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase.  The relative increase is 3.49/6.35 or 55%.  The new price is 155% or 1.55 times the original price.

That means we have New Price = 1.55c

Answer:

2/45

Step-by-step explanation:

Answer:

The larger number is [tex]1100[/tex]

Step-by-step explanation:

Let larger number be [tex]x[/tex]

We have

[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]

Answer:

The larger number is 1100.

Step-by-step explanation:

Solution :

Let the,

Now, According to the question :

[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]

Hence, the value of x is 100.

Now, calculating the larger number :

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]

Hence, the larger number is 1100

[tex]\rule{300}{1.5}[/tex]

Answer:

1/3 < 3 < 33/10 < 3.337 < 3.11

Step-by-step explanation:

Answer:

if i am correct this is the formula you asked?

[tex](4z^7+\frac{1}{z}^7)^2[/tex]

Step-by-step explanation:

the answer is

[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]

if i put the wrong equation tell me so i can do it again

:)

Answer:

  none of the above

Step-by-step explanation:

All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.

All can be used to show congruence.

Answer:

m = 4.5

Step-by-step explanation:

2 = 2m - 7

add 7 to both sides

9 = 2m

divide by 2 on each side

4.5 = m

CHECK:

2 = 2(4.5) -7 (TRUE)

2 · 4.5 = 9

9 - 7 = 2

I hope this helps!

Answer:

m=4.5

Step-by-step explanation: First, add 7 to each  side and you get 9=2m. divide each side by 2 and you get m=4.5

Answer:

4320 miles

Step-by-step explanation:

distance= speed× time

60 ×72= 4320

Answer:

if you want simple answer then check second picture

Step-by-step explanation:

,

3x(1-4x)+2(1-4x)

3x-12x²+2-8x

-5x-12x²+2

Answer: x ≥ 9

Step-by-step explanation: -1/3x + 5 ≤ 2

                                              -1/3x + 5 -5 ≤ 2 - 5

                                              -1/3x ≤ -3

                                               -1/3x/(-1/3) ≤ -3/(-1/3)

                                               x ≤ -9

                                               x  ≥ 9

Answer: Inequality form X >- 9

Step-by-step explanation:

isolte the varible by dividing each side by factors that dont cotain the variable

Answer:

50 ?

Step-by-step explanation:

You didn't give any detail about how many beads it takes to make one bracelet

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

Answer:

y=3

Step-by-step explanation:

1/4 = 3/12

Answer:

-8

Step-by-step explanation:

ky^2 = -5y + 7y^2 +9y - 15y^2 -4y

ky^2 = -8 y^2

k = -8

Answer:

  8

Step-by-step explanation:

We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.

We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.

  [tex]-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0[/tex]

In order for this to be zero for all values of y, we must have (-a+8) = 0.

  a = 8

The missing coefficient is 8.

_____

Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.

  -a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0

  -a -[-5-(-16)] -[-19] = 0

  -a -11 +19 = 0

  -a +8 = 0

  a = 8 . . . . . . same as above

_____

Additional comment

The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.

We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.

Answer:

18x² - 24x + 9

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f3x - 2)

= 2(3x - 2)²+ 1 ← expand factor using FOIL

= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2

= 18x² - 24x + 8 + 1

= 18x² - 24x + 9

Answer:

w^18

Step-by-step explanation:

exponents are multiplied when there is a parenthesis between them

Answer:

[tex]w^{18}[/tex]

Step-by-step explanation:

the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.

Answer:

721/M

Step-by-step explanation:

Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)

Answer:

x = 2.3

Step-by-step explanation:

x = 5*(13-12.54) = 2.3

Answer:

127.7

Step-by-step explanation:

you do 12.54 + 13 = 25.54

then 25.54 x 5 = 127.7

Answer:

what is that i dont answering this sorry