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3 years ago

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + ____?

Mathematics

2 answers:

Maru [420]3 years ago

8 0

Answer:

Step-by-step explanation:

4 7/12 + 5/12 = 4 12/12 which equals 5

earnstyle [38]3 years ago

5 0

Answer:

3 9/12 + (4 7/12 + 5/12) = 3 9/12 + 5

Step-by-step explanation:

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In the year 2000, the average cost of a computer could be modeled by the equation C = -5t2 + 750, where t is the number of years

elena55 [62]

Answer:

$\Delta C=-5t^2-250$

Step-by-step explanation:

Given:

The average cost of a computer in the year 2000 is given as:

$C=-5t^2+750$

The average cost of a computer in the year 2008 is given as:

$C=-10t^2+500$

Now, the difference in average cost between the years 2008 and 2000 can be calculated by subtracting the average cost in 2000 from the average cost in 2008.

Framing in equation form, we get:

Difference in average cost (ΔC) is given as:

$\Delta C=C_{2008}-C_{2000}\\\\\Delta C= (-10t^2+500)-(-5t^2+750)\\\\\textrm{Distributing the megative sign inside the second polynomial, we get:}\\\\\Delta C=-10t^2+500+5t^2-750\\\\\textrm{Grouping like terms, we get}\\\\\Delta C=(-10t^2+5t^2)+(500-750)\\\\\Delta C=-5t^2-250$

Therefore, the difference in the costs for a computer between 2008 and 2000 is $\Delta C=-5t^2-250$

7 0

4 years ago

How can this be solved?

Molodets [167]

You might have to multiply or divide I just started learn g that stuff and I do t understand it still

8 0

4 years ago

Read 2 more answers

Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 yea

netineya [11]

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

6 0

3 years ago

The GFC of an odd and even number is always odd True or False?

OLga [1]

I think you mean GCF, or greatest common factor, in which case, yes, this is always true. An odd number has no factors of 2 or multiples of 2, so there is no way a factor of an odd number can be divisible by 2. Even if the even number has no odd factors, That would simply mean they have no common factors greater than 1, so the GFC would just be 1.

4 0

3 years ago

{4x-2y+5z=6 <br> {3x+3y+8z=4 <br> {x-5y-3z=5

lesya692 [45]

There are three possible outcomes that you may encounter when working with these system of equations:

one solution
no solution
infinite solutions

We are going to try and find values of x, y, and z that will satisfy all three equations at the same time. The following are the equations:

$4x-2y+5z = 6$
$3x+3y+8z = 4$
$x-5y-3z = 5$

We are going to use elimination(or addition) method

Step 1: Choose to eliminate any one of the variables from any pair of equations.

In this case it looks like if we multiply the third equation by 4 and subtracting it from equation 1, it will be fairly simple to eliminate the x term from the first and third equation.

So multiplying Left Hand Side(L.H.S) and Right Hand Side(R.H.S) of 3rd equation with 4 gives us a new equation 4.:

4. 4x-20y-12z = 20

Subtracting eq. 4 from Eq. 1:

(L.HS) : 4x-2y+5z-(4x-20y-12z) = 18y+17z

(R.H.S) : 20 - 6 = 14

5. 18y+17z=14

Step 2: Eliminate the SAME variable chosen in step 2 from any other pair of equations, creating a system of two equations and 2 unknowns.

Similarly if we multiply 3rd equation with 3 and then subtract it from eq. 2 we get:

(L.HS) : 3x+3y+8z-(3x-15y-9z) = 18y+17z

(R.H.S) : 4 - 15 = -11

6. 18y+17z = -11

Step 3: Solve the remaining system of equations 6 and 5 found in step 2 and 1.

Now if we try to solve equations 5 and 6 for the variables y and z. Subtracting eq 6 from eq. 5 we get:

(L.HS) : 18y+17z-(18y+17z) = 0

(R.HS) : 14-(-11) = 25

0 = 25

which is false, hence no solution exists

3 0

3 years ago