Write 25 and 13 as equivalent fractions using a common denominator.

[tex]\text{Given that,}~3x-y = 12\\\\\\\dfrac{8^x}{2^y} =\dfrac{(2^3)^x}{2^y } = \dfrac{2^{3x}}{2^y} = 2^{3x-y} = 2^{12}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve ~

now, evaluate the value of given expression ~

Now, plug the value of 3x from the previous equation ~

Therefore , the required expression is ~ 2¹²

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Answer:

The answer is 10

Step-by-step explanation:

It is

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 3/10 + 21/100 equals 51/100 as a fraction.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

0.51000 which as smaller is 0.51

Step-by-step explanation:

simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100

Answer:

$60

Step-by-step explanation:

because 30 is 50% percent of 60

Answer:

N(h) = 17.5h + 15

Step-by-step explanation:

N(h) = 8.75h + 15              | write original equation

N(h) = 8.75(2) + 15            | multiply the original hourly fee by 2

N(h) = 17.5 + 15                 | solve

Stay healthy and happy <3.

Hope this helped.

The required function represents the new fees is given as N(h) = 17.5h + 15.

Given that,
An administrative assistant works from home and originally charged her clients $8.75 per hour for any clerical work plus a set fee of $15, or C(h) = 8.75h + 15. She decided to double her hourly fee but keeps her set fee the same.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given function,
C(h) = 8.75h + 15.
Now,
According to the question,
N(h) = 2× 8.75h + 15.
N(h) = 17.5h + 15.

Thus, the required function represents the new fees is given as N(h) = 17.5h + 15.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

it's (2,-4)

hope it helps

Answer:

Coordinate  form is [tex](x,y)=(2,3)[/tex]

Step-by-step explanation:

Usually the form is

[tex]f(x)=y[/tex]

Here

We have [tex]f(2)=3[/tex]

Hence [tex](x,y)=(2,3)[/tex]

Answer:

See answers below.

Step-by-step explanation:

m ∠A + m ∠B + m ∠C = 180°          The sum of the angles in a triangle = 180

28°  +   x - 4   + 2x  = 180°              Substitution

x =  52°                                            Algebra

28°  +  x - 4  + 2x  = 180°

    24° + 3x = 180°

     3x = 156°

      x = 156/3

       x = 52°

Check:   28° + 48 + 104°  = 180√

Answer:

Step-by-step explanation:

go to the store

Step-by-step explanation:

90.......................

Answer:

90.

Step-by-step explanation:

We have:

5

6 = 3 * 2

9 = 3 * 3

LCM = 5 * 3 * 2 * 3 = 90

As both 6 and 9 have a 3 in common this 3 is only used once in the calculation.

Answer:

1. C

2. C

Hope This Helps!!!

1)  The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]

when  [tex]m=10[/tex], [tex]15[/tex] more college hats were sold

2)  The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below

3) The length of one side of the square scrapbooking page will be

[tex](2x+5)\text{ inches}[/tex]. The working is shown below.

1)    According to the question, [tex]m[/tex] is the number of months hats were sold.

[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months

[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months

Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]

the expression representing how many more college hats were sold than professional hats is

[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]

when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and

[tex]m+5=(10)+5=15hats[/tex]

[tex]15[/tex] more college hats were sold in [tex]10[/tex] months

2)  To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below

remove brackets

[tex]-12x+6-2x[/tex]

arrange like terms

[tex]-12x-2x+6[/tex]

simplify like terms

[tex]-14x+6[/tex]

The answer is (D)

3)  Let the length of one side of the square be [tex]s[/tex]

The perimeter will be  

[tex]4s=8x+20[/tex]

making [tex]s[/tex] the subject of the formula

[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]

Learn more about word problems here: https://brainly.com/question/17067890

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~

So, the Correct choice is ~

[tex]꧁  \large \sf{itz0kaul } \: ꧂[/tex]

See below

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]

[tex]\\ \sf\Rrightarrow y=x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Answer:

No. The correct answer would be C.

Step-by-step explanation:

AAS: The side cannot be in between the two angles.

ASA: The side is in between the two angles.

Answer:

2016

Step-by-step explanation:

Per hour, they would need to add 147 quarts of the liquid ingredient. When converting to gallons, every 4 quarts is one gallon, so we need to divide 147 by 4.

36.75 Gallons Per Hour

They need to add 39 gallons of ingredients to make the production they desire.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 4 quarts are one gallon.

∴ They would be making (13/4) = 3.35 gallons every 5 minutes Or (3.25/5) = 0.65 gallons per minute.

∴ In an hour or 60 minutes, they would be making (0.65×6) = 39 gallons per hour.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.

The quadratic equation has two solutions if b^2 - 4ac > 0

Given the equation ax^4 + bx^2 + c=0

Substitute into the formula to have:

The equation becomes aP^2 + bP + c = 0

For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0

learn more on discriminant here; https://brainly.com/question/1537997

Answer:

32

Step-by-step explanation:

wait im wrong i didnt even read that correctly

Answer:

Sry but I don't understand what you wrote

Step-by-step explanation:

Answer:4

Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4

Answer:

-4

Step-by-step explanation:

That's the answer above

Answer:

4.242641

Step-by-step explanation:

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

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

d=[tex]\sqrt{9+9}[/tex]

d=[tex]\sqrt{18}[/tex]

d=4.242641

(does it deserve a Brainliest)

Answer:

60 degrees

Step-by-step explanation:

edge

Answer:

7.

Step-by-step explanation:

Reverse all operations. (Subtract = Add, Add = Subtract, Divide = Multiply, Multiply = Divide)

Add 7+-4 to get 3.

Multiply 8*3 to get 24.

Add 24+3 to get 27.

Divide 24/3 to get 9.

Subtract 9-2 to get 7.

Check the other way:

Add 7+2 to get 9.

Multiply 9*3 to get 27.

Subtract 27-3 to get 24.

Divide 24/8 to get 3.

Subtract 3-7 to get -4.

Answer:

Below in bold.

Step-by-step explanation:

y=x^2−4x−12

Factored form: y = (x - 6)(x + 2)

x-intercepts: (-2, 0) and (6, 0).

Axis of symmetry is found by converting to vertex form:

y = x^2−4x−12

y = (x - 2)^2 - 4 - 12

y = (x - 2)^2 - 16.

So axis of symmetry is x = 2.

Vertex is at (2, -16)

Domain is all Real Numbers.

Range is y ≥ -16.