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3 years ago

If x+3/3=y+2/3, then x/3= A) y/3 B)y-1 C)y/2 D)y+1

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer:

y/2

Step-by-step explanation:

x+3=y+2

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

3 2

Using cross products

2(x+3) = 3(y+2)

Distribute

2x+6 = 3y+6

Subtract 6 from each side

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

2x= 3y

Divide each side by 2

2x/2 = 3y/2

x = 3/2 y

We want to find x/3

Divide each side by 3

x/3 = 3/2 y * 1/3

x/3 = 1/2 y

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Grace is planning on purchasing an Akai Professional MPC5000 drum machine for $2195. She's been pre-approved to finance her purc

Genrish500 [490]

1) Her monthly payment is $40.97 if she finance the total amount

2) She will pay $2458.2 for the MPC5000

3)Her monthly payment will be $26.50 if she pay her saved up money upfront

4) She will pay $2365.4 for the MPC5000

5) Yes, I recommend to pay the $775 upfront . If she pay upfront, then the amount she needs to pay for the MPC5000 is less.

Step-by-step explanation:

The cost of the drum machine is $2195

The APR is 12% over 60 months

1) the APR for 60 months is 12%

So, the APR for 1 month is

12/60 = 0.2%

The interest per month = 0.2% of 2195

= (0.2 x 2195) / 100

= 4.39

The amount to be paid per month is

= monthly amount + interest

= (2195/60) + 4.39

= 36.58 + 4.39

=$ 40.97

2) If she pays $40.97 per month then the total payment (for 60 months) for the drum machine

= 40.97 x 60

= $ 2458.2

3) the total cost is $2195 out of which she pays $775 upfront.

So she have to borrow less .

The amount to be financed is

2195- 775= $1420

The monthly interest is,

(0.2 x 1420) /100 = 2.84

Monthly she have to pay

23.66+ 2.84= $26.50

4) If she pay $775 upfront then the remaining $1420 is financed

Her monthly payment is $26.50

Then for 60 months she will pay,

26.50 x 60= $1590.4

The total amount paid for the drum machine is

775+1590.4 =$2365.4

4 0

3 years ago

HELP ASAP PLEASE

padilas [110]

I believe the answer is letter D

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to 1 1/2 plus 1 6/7 I NEED HELP HURRY

Pavel [41]

Answer: is this correct

Step-by-step explanation:

5 0

3 years ago

Help me with this question please

Alexus [3.1K]

Answer: B. x = 40

Step-by-step explanation:

The angles given are supplementary.

Supplementary angles are any two angles that add to 180 degrees, most commonly seen on one side of a straight line.

As these angles are supplementary, we can solve for x by adding both angles to get 180:

$(3x + 15) + 45 = 180\\\\3x + 60 = 180\\\\3x = 120\\\\x = 40$

This means that the angle on the left is (3*40) + 15, or 135 degrees, while the angle on the right is 45 degrees. These angles add to 180 degrees.

The correct answer choice is B.

7 0

3 years ago

Given the term 3x², select ALL of the like terms listed below. Question 3 options: A.-2x²

atroni [7]

Answer:

A.- $2x^2$

D. $5x^2$

E. $x^2$

Step-by-step explanation:

Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is $3x^2$ , the like terms will be those that contain $x^2$ , regardless of whether their coefficient or sign is different.

Analyzing the options:

A.- $2x^2$

We have the same variable and the same exponent $x^2$ , so it is a like term.

B. $3x$

You have the same variable x but not the same exponent. So it's not a like term of $3x^2$

C. $3x^3$

Same variable $x$ but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.

D. $5x^2$

In this option we do have the $x^2$ , so it is a like term of $3x^2$

E. $x^2$

It is also a like term because it contains the $x^2$ .

In summary the like terms are:

A.- $2x^2$

D. $5x^2$

E. $x^2$

7 0

3 years ago