Solve each of the following equations

Answer:

c=$125

Step-by-step explanation:

9:30--12:30 is three hours, then another half hour till 1pm total hours is 3.5

c = 20+30*3.5

c=20 + 105

c = 125

The charge for Piere's work is $125 by using the formula C = 20+30x.

A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For the given situation,

Let the amount in dollar,$ be C.

Let the hours be x.

The equation is C = 20+30x.

He starts a job at 9:30 and finishes at 1 pm. So, the time x is 3.5 hours.

⇒ [tex]1pm-9:30 am=3.5 hours[/tex]

Thus charge for the electrician is

⇒ [tex]C=20+30(3.5)[/tex]

⇒ [tex]C=125[/tex]

Hence we can conclude that the charge for Piere's work is $125 by using the formula C = 20+30x.

Learn more about linear equations here

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Answer:

its 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the way I understand the question.  I hope it makes sense.

    n

     ∑ (P + 78n)                P = the initial depost which is 758

   n = 0

     so when n = 0       the sum equals P   or  758        because 78(0)  =  0

     so when n = 1       the sum equals P+78(1)       =     758 + 78     =  836

     so when n = 2       the sum equals P+78(2)     =     758 + 156    =  914

Answer: The interest rate can he afford to pay on his  | loan =7.5%

Step-by-step explanation:

Given: Principal amount = 375,000

Interest amount per year =  $28,125

Interest percentage = [tex]\dfrac{\text{Interest}}{\text{Principal}}\times100\%[/tex]

[tex]=\dfrac{28125}{375000}\times100\%\\\\=7.5\%[/tex]

Hence, The interest rate can he afford to pay on his  | loan =7.5%

Answer:

Janine is 28. Ingrid is 30.

Step-by-step explanation:

Let the ages be x and x + 2 for Janine and her sister, respectively.

x/7 + (x + 2)/3 = 14

Multiply both sides by the LCD, 21, to get rid of denominators.

21 * x/7 + 21 * (x + 2)/2 = 21 * 14

3x + 7(x + 2) = 294

3x + 7x + 14 = 294

10x = 280

x = 28

x + 2 = 30

Answer: Janine is 28. Ingrid is 30.

Answer:

Janine is 28 and Ingrid is 30.

Step-by-step explanation:

Let Janine's age be x years , then Ingrid's age is x+2 years.

From the given information we have the equation:

x/7 + (x + 2)/3 = 14

Multiplying through by the LCM of 3 and 7 (21),  we have:

3x + 7(x + 2) = 294

10x + 14 = 294

10x =  294-14 = 280

x = 28, so:

Janine is 28 and Ingrid is 30.

Answer:

B)

a + c = 7

9a + 4c = $43

Step-by-step explanation:

There're 7 tickets which were bough in total. Two different types of tickets, one which represented children, the other for adults. The adult ticket is represented by a and is 9 dollars. The children's ticket is represented by c and is 4 dollars.

Have a nice April Fool's XD.

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Step-by-step explanation:

LCM for 7 by 24=168

LCM for 17 by 36=612

Answer: 18 degrees

Step-by-step explanation:

If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is

10hours:12 degrees

to find hours divide both sides by 2 and multiply by 3 to get

15hours: 18 degrees

Answer:

Step-by-step explanation:

9x5=45

45=area

9+9+5+5=28

28=Per

#2

π x 8^2

=16

A=16π

2 x π x 8

P=16π

#3

hxb/2

=10x24/2

=120

A=120

P=60

Answer:

it should be a

Step-by-step explanation:

if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money

Answer:

the slope of the line that lies on those two points is 11/7

Step-by-step explanation:

insert the first point into y=mx+b

14=(-7)m+b

----------------

Do it again with the other point

3=(-14)m+b

-------------

Now put both equations in a system of equations

14=(-7)m+b

3=(-14)m+b

solve for m and b

m=11/7 and b=25

y=11/7x+25

m=slope

b=y-intercept

Hope that helps :)

Please give brainliest

Answer:

-16..

Step-by-step explanation:

the question is not clear

Answer:

6.82%(or -6.82%, it depends)

Step-by-step explanation:

95.2-88.7=6.5

6.5/95.2=6.82%

Answer:

58

Step-by-step explanation:

The range is the difference between the highest and the lowest numbers in the number set.

The highest number in this set is 677 and the lowest number is 619.

677 - 619 = 58

Answer:

44?

Step-by-step explanation:

I realy just have a feeling

Answer:

A. 4

B. 348

C. 2

D. 174182400

E. x = 2

Step-by-step explanation:

Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)

             B = (6ǃ-4ǃ)/2ǃ

             C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)

             D = 10ǃx8ǃ/(6ǃ+5ǃ)

             E -  ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

Proof -

A.

(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]

                                  = 2! [ 4×3 + 1 + 3] / 2! [3 + 1]

                                  = [12 + 1 + 3] / [4]

                                  = [16] / [4] = 4

⇒(4! + 2! + 3! )/ (3! + 2!) = 4

B.

(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!

              = 4! [6×5 - 1] / 2!

              = 4×3×2! [ 30 - 1] / 2!

              = 12 [29] = 348

⇒(6ǃ-4ǃ)/2ǃ = 348

C.

2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]

                         = 2!×3!×4! / 4! [ 5 + 1]

                         = (2×1) × (3×2×1) / 6

                         = 12 / 6 = 2

⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2

D.

10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×6)

                      = 174182400

⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400

E.

((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!

[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)!  [ (x+4)+ 1] = 6!

[(x+5)(x+4)(x+3)! / (  [ x+ 5 ] = 6!

(x+4)(x+3)! = 6!

(x+4)! = 6!

x+ 4 = 6

x = 6 - 4

x = 2

Note :

x! = x(x-1)(x-2).......(4)(3)(2)(1)

Answer:

Step-by-step explanation:

Well I'd need to see it but you can figure it out on your own. If there are 5 equal spots then the chance of one landing is 1/5 or otherwise known as 20% now, it's essentially the same if the spots are even, so figure it out depending on what the number of spots is.

Answer:

The coordinates of the point S could be;

A. (-1, -1)

Step-by-step explanation:

The given parameters are;

The ratio of the length of the line RS to the length of the line RT = 1:2

The coordinates of point R = (2. 5)

The coordinates point T = (-4, -7)

Therefore, we have;

[tex]\dfrac{The \ length \ of \, RS}{The \ length \ of \, RT} = \dfrac{1}{2}[/tex]

[tex]\therefore {The \ length \ of \, RS} = \dfrac{1}{2} \times The \ length \ of \, RT[/tex]

The length of the line RT = √(((2 - (-4))² + (5 - (-7))²) = 6·√5

Therefore, we have;

[tex]{The \ length \ of \, RS} = \dfrac{1}{2} \times 6\cdot \sqrt{5} = 3 \cdot \sqrt{5}[/tex]

When the coordinates of the point S = (-1, -1), we have;

The length of the line RS = √(((2 - (-1))² + (5 - (-1))²) = √45 = 3·√5

Therefore, the coordinates of the point S could be (-1, -1)

Answer:

C.

Step-by-step explanation:

there are 4 15's, which is the most thing repeated.

Answer:

720 = x +133+138+148+95+105

x = 101

2

Step-by-step explanation:

I think it 4/2 because I multiplied it

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

Answer:

x = 136º

Step-by-step explanation:

Answer:

x = 136º

Step-by-step explanation:

It is congruent to the angle with the measure of 136 degrees, so it will be 136.

Hope that helps!