Mike is buying new uniforms for work. He buys 2 uniforms, each of which include pair of pants for $34 and a shirt.His total was $106,without taxWhat is the equation for this situation?

Answers

Answer 1
Answer:

2(p + s) = 106

2(34 + s) = 106

68 + 2s = 106

2s = 38

s = 19


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There are 28 pens in a full box. how many pens are in 35 full boxes

X = -1
Y = 3

5x^-6y^-2/y

Answers

(5x^(-6)y^(-2))/(y) =  (5(-1)^(-6)3^(-2))/(3) = (5(1)(1)/(9))/(3) =((5)/(9))/( 3)\n\n= (5)/(9) / 3 = (5)/(9) * (1)/(3) = \boxed{\bf{(5)/(27)}}

Your answer is 5/27.

Please help, thank you!​

Answers

Answer:

I think B

Step-by-step explanation:

Answer:

A.) 0.32

Step-by-step explanation:

√(16) is 4 but h = 2 which is 1/2 of the answer

so √(40) is 6.324 and 0.32 is the closet answer

What's the simplified form of 2x + 3 − x + 5?

Answers

2x + 3 - x + 5
Rearrange the terms
x with x and numerals with numerals

2x - x + 3 + 5

x + 8

The simple form of given expression 2x + 3 − x + 5 is equal to (x+8).

Given that:

The expression: 2x + 3 - x + 5

To simplify the given expression, combine like terms. The terms with x can be combined, as well as the constant terms.

The simplified form is:

2x - x + 3 + 5

Combining the x terms gives as:

(2x - x) + 3 + 5

Simplifying further the above expression as:

x + 3 + 5

Adding the constant terms:

x + 8

Hence, the simplified form of 2x + 3 - x + 5 is x + 8.

Learn more about Expression here:

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Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Answers

x-weigh of Ted
y-weigh of Julie
z-weigh of Mike

x=2y
z=3y
x+y+z=210lbs

2y+y+3y=210
6y=210 /:6
y=35 lbs
x=2y=2*35=70 lbs
z=3y=3*35=105 lbs

a teacher and 10 students are to be seated along a bench in the bleachers at a basketball game. In how many ways can this be done if the teacher must be seated in the middle and a difficult student must sit to the teachers immediate left?

Answers


Wow !

OK.  The line-up on the bench has two "zones" ...

-- One zone, consisting of exactly two people, the teacher and the difficult student.
   Their identities don't change, and their arrangement doesn't change.

-- The other zone, consisting of the other 9 students.
   They can line up in any possible way.

How many ways can you line up 9 students ?

The first one can be any one of 9.   For each of these . . .
The second one can be any one of the remaining 8.  For each of these . . .
The third one can be any one of the remaining 7.  For each of these . . .
The fourth one can be any one of the remaining 6.  For each of these . . .
The fifth one can be any one of the remaining 5.  For each of these . . .
The sixth one can be any one of the remaining 4.  For each of these . . .
The seventh one can be any one of the remaining 3.  For each of these . . .
The eighth one can be either of the remaining 2.  For each of these . . .
The ninth one must be the only one remaining student.

     The total number of possible line-ups is 

               (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)  =  9!  =  362,880 .

But wait !  We're not done yet !

For each possible line-up, the teacher and the difficult student can sit

-- On the left end,
-- Between the 1st and 2nd students in the lineup,
-- Between the 2nd and 3rd students in the lineup,
-- Between the 3rd and 4th students in the lineup,
-- Between the 4th and 5th students in the lineup,
-- Between the 5th and 6th students in the lineup,
-- Between the 6th and 7th students in the lineup,
-- Between the 7th and 8th students in the lineup,
-- Between the 8th and 9th students in the lineup,
-- On the right end.

That's 10 different places to put the teacher and the difficult student,
in EACH possible line-up of the other 9 .

So the total total number of ways to do this is

           (362,880) x (10)  =  3,628,800  ways.

If they sit a different way at every game, the class can see a bunch of games
without duplicating their seating arrangement !

Answer:

Step-by-step explanation:

362,880

Tina Cole is a certified financial adviser. She purchased equipment for her office for $8,843. The trade-in value of the equipment is estimated to be $450 after 7 years of use. Using the straight-line method, what is the annual depreciation to the nearest cent?

Answers

Straight - line method allows the determination of the annual depreciation by dividing the total reduction in property value by the number of years. In the given above, The total depreciation of the value is $8,393. Dividing this value by 7 years gives $1,199/year. 

Therefore, the annual depreciation is $1,199.0

Answer:

$1,199 per year.

Step-by-step explanation:

Tina Cole is a certified financial adviser.

She purchased equipment for her office costs = $8,843

After 7 years of use the trade-in value of the equipment is estimated = $450

Total depreciation in 7 years = 8,843 - 450 = $8,393

We have to calculate the annual depreciation using the straight-line method.

So we divide $8,393 by 7

$8,393 ÷ 7 = $1,199

The annual depreciation of the equipment is $1,199 per year.