# A kindergarten teacher has 22 1/2 cups of juice to be divided equally among her students. If each student received 1 1/4 cups of juice, how many students are there?

There are 18 students.

## Related Questions

(5 + 4 – 2) × (–2) = ?

(5 + 4 - 2) * -2 = ...do the math in the parenthesis first
7 * -2 =
-14

What is the definition of center of dilation?

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The center of dilation is a fixed point in the plane.

Find the product. Simplify if possible. -1/3 * (8 1/7) A. -2 5/7 B. -3/8 C. -1/21 D. 1/3

-1/3×8 1/7
-1/3×57/7
-(1×57)/(3×7)
-57/21
-19/7
B. -2 5/7
8 1/7 = (8*7 + 1 ) / 7 = 57 / 7 ;
(-1/3)*(57/7) =(-57/21) = (-57÷3)/(21÷3) = (-19/7);

Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. The x-intercept is (0, 6); the y-intercept is (–9, 0). The x-intercept is (6, 0); the y-intercept is (0, –9). The x-intercept is (3, 0); the y-intercept is (0, –2). The x-intercept is (0, 3); the y-intercept is (–2, 0).

3x-2y=18

The x-intercept occurs when y=0

3x=18, x=6, so it is the point (6,0)

The y-intercept occurs when x=0

-2y=18, y=-9, so it is the point (0, -9)

"The x-intercept is (6,0); the y-intercept is (0,-9)"

I don't get this question it says: 54 fl oz = _____ c

Well for every fluid ounce, there is .125 of a cup.

54*.125=6.75

Select all statements below which are true for all invertible n×nn×n matrices aa and bb a. (ab)−1=a−1b−1(ab)−1=a−1b−1
b. aba−1=baba−1=b
c. (in+a)(in+a−1)=2in+a+a−1(in+a)(in+a−1)=2in+a+a−1
d. a2b7a2b7 is invertible
e. a+ba+b is invertible f. (a+b)(a−b)=a2−b2(a+b)(a−b)=a2−b2

The statements that are correct are:

c)

d) is invertible.

e) is invertible.

Step-by-step explanation:

We are given that:

a and b are invertible n×n matrices.

We have to tell which of the following statements are true.

a)

This statement is false.

Since:

and it may not be equal to the term

b)

This expression could also be written as:

Since on Post multiplying by a on both the sides.

But here we don't know whether the matrices are commutative or not.

Hence, the statement is false.

c)

This statement is true.

since,

where in denote the identity matrix.

and we know that:

d)

is invertible.

This statement is true.

Since we know that prodct of invertible matrices is also invertible.

As is invertible so is .

Also is invertible so is .

Hence Product of   and   is also invertible.

i.e. is invertible.

e)

is invertible.

This statement is true as sum of two invertible matrices is invertible.

f)

This statement is false.

Since,

Now as we are not given that:

Hence, we could not say that:

The correct statements which are true for all invertible are:

(c).

(d). is invertible.

(e). is invertible.

Further Explanation:

Given:

The matrix and are invertible matrices.

Calculation:

(a)

The statement is false.

The statement is false.

(b)

The statement is .

Now multiply by a both the side.

The statement is is false.

(c)

The statement is .

Solve the above equation to check whether it is invertible.

The statement is true.

(d)

The statement is .

The product of invertible matrices is always invertible.

As is invertible so is also invertible.

As is invertible so is also invertible.

Hence, the product of and is also invertible.

The statement is true.

(e)

The statement is true as is always invertible.

(f)

The statement is .

Solve the equation to check the inevitability.

The statement is not true as .

Hence, the correct statements which are true for all invertible are:

(c).

(d). is invertible.

(e). is invertible.

Subject: Mathematics

Chapter: Linear equation

Keywords: Invertible, matrices, matrix, statement, function, true, determinants, elements, inverse.

For a printing company, the cost of printing business cards is a linear function, C(x) = 0.05x + 20, where x is the number of cards printed. What is the cost of printing 1200 business cards? PLEASE HELP!!

80

Step-by-step explanation:

You plug in 1200 for x.

C(1200)=0.05(1200) +20

Then solve. Multiply first then add.

60+20

80

What is an expected​ value? A. Expected value is the probability of losing an event many times. B. Expected value is the probability of winning an event many times. C. Expected value is the estimated gain or loss of partaking in an event many times. D. Expected value is the total estimated cost to partake in an event many times.

C. Expected Value is the estimated gain or loss in partaking in an event many times.

Step-by-step explanation:

Expected value also know as mean is the average value of a random variable. It is the probability weighted average of all it's possible values. Usually calculated by

E (x × p) = expected value

Where E = summation

X = variables

P = probabilities for each variable

Which expression would represent the amount of time it took Lisa to travel 120 miles if she traveled at a speed of s miles per hour?