MATHEMATICS COLLEGE

Subtract and write the difference in simplest form 12 5/8 - 7 1/3

Answers

Answer 1

Answer:

5 7/24

Step-by-step explanation:

Given the following mathematical expression;

12 5/8 - 7 1/3

First of all, we would subtract the whole numbers;

12 5/8 - 7 1/3 = (12 - 7) 5/8 - 1/3

12 5/8 - 7 1/3 = 5 [5/8 - 1/3]

Next, we subtract the fractions from each other;

5/8 - 1/3

Lowest common multiple (lcm) = 24

5/8 - 1/3 = (15 - 8)/24

5/8 - 1/3 = 7/24

Combining the two parts, we have;

12 5/8 - 7 1/3 = 5 7/24

Related Questions

A trough has a semicircular cross section with a radius of 9 feet. Water starts flowing into the trough in such a way that the depth of the water is increasing at a rate of 2 inches per hour. (a) Give a function w = f(t) relating the width w of the surface of the water to the time t, in hours. Make sure to specify the domain and compute the range too.(b) After how many hours will the surface of the water have width of 6 feet?(c) Give a function t = f −^1 (w) relating the time to the width of the surface of the water. Make sure to specify the domain and compute the range too.
Please Explain/Show your work!
$641.29 is what percent of $986,60? I need this ASAP
Write down all elements of the set {XER: X3 -x = 0).
Can someone please help me god bless!

Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $552. They bought 34 pieces of equipment. What are a system of equations and an augmented matrix that can represent this situation

Answers

Answer:

20b +12g = 552
b + g = 34

$\left[\begin{array}{cc|c}20&12&552\n1&1&34\end{array}\right]$

Step-by-step explanation:

Two equations can be written: one for the total expense, and one for the number of pieces of equipment. The unknowns in this scenario are the numbers of bats and gloves, which we can represent using the variables b and g. Then the system of equations is ...

20b +12g = 552 . . . . . . equation for total expense

b + g = 34 . . . . . . . . . . . equation for pieces of equipment

The augmented matrix is the matrix of the coefficients in these equations:

$\left[\begin{array}{cc|c}20&12&552\n1&1&34\end{array}\right]$

_____

The solution to these equations is ...

(b, g) = (18, 16)

Final answer:

The system of equations representing this situation is 20b + 12g = 552 and b + g = 34. In augmented matrix form, this is [[20,12,552],[1,1,34]].

Explanation:

In this situation, we can represent the number of bats and gloves a baseball team bought as variables, let's say 'b' and 'g' respectively. From the query, we have two pieces of information which provide two equations:

20b + 12g = 552 (This represent the total cost of the bats and gloves)
b + g = 34 (This represents the total number of items bought)

In matrix form, we can put this system of equations in an augmented matrix as:

[[20,12,552],
[1,1,34]].

Learn more about System of Equations here:

brainly.com/question/21620502

#SPJ11

X^3 times x^? equals to x^17

what’s the missing exponent?

Answers

Answer:

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

You have ...

(x^3)(x^a) = x^17

x^(3+a) = x^17

Equating exponents, we get ...

3 +a = 17

a = 14

The missing exponent is 14.

Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges. {(-1.00000005)^n}

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. The sequence diverges by oscillation.
b. The sequence converges monotonically. It converges to:________
c. The sequence converges by oscillation. It converges to:________
d. The sequence diverges monotonic ally.

Answers

Answer:

Step-by-step explanation:

(-1.00000005)^n

as n becomes very large, the function increases in both positive and negative direction.

If n=1, -1.00000005

if n=2, 1.0000001

if n= 3, -1.00000015

if n=20, 1.000001

if n=21, -1.00000105

2. What is the value of 6x – 3y if x = 5 and y = 1F.11.
G.33
H.6 with an exponent of 5
I.65

Answers

Step-by-step explanation:

x=5,y=-1

6(5)-3(-1)=30+3=33

answer G .33

You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t^2 + 541. What is the height of the rock after 2 seconds?

Answers

For this case we have the following equation:
$h = -16t ^ 2 + 541$
To answer the question, what we must do is evaluate the function for t = 2.
We have then:
$h = -16 (2) ^ 2 + 541$
Rewriting we have:
$h = -16 (4) + 541h = -64 + 541h = 477 feet$
Answer:
The height of the rock after 2 seconds is:
$h = 477 feet$

Find the arc length of the curve below on the given interval. y equals one third (x squared plus 2 )Superscript 3 divided by 2y= 1 3x2+23/2 on [00,66]