Larry and Cathy study for a total of 24 hours each week. Larry studies 3 less than twice the hours than Cathy studies. How many hours does Cathy study per week?

An exponent, or a power, is mathematical shorthand for repeated multiplications. An example of a power with an exponent of 3 is 2³, which equals 8.

An exponent, or a power, is mathematical shorthand for repeated multiplications. For example, the exponent "2" means to multiply the base for that exponent by itself.

So, for an exponent of 3, the base would be multiplied by itself three times.

An example of a power with an exponent of 3 would be 2³. This means that you need to multiply the base, which is 2, by itself three times: 2 x 2 x 2 = 8.

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The probable question may be:

What is the definition of powers in mathematics, and can you provide an example of a power with an exponent of 3?

Answer:

1) one muffin costs $1.50

one quart of milk costs $3.00

2) 10 videos, 30 CDs

Step-by-step explanation:

1)

m = cost of one muffin

q = cost of one quart of milk

System of equations:

3m + 1q = 7.5

8m + 2q = 18

I multiplied the first equation by -2 to eliminate the 'q' values

  -6m - 2q = -15

+ 8m + 2q = 18

    2m = 3

      m = 3/2

find 'q':  

3(3/2) + q = 7.5

9/2 + q = 15/2

q = 6/2 or 3

2)

c = # of CDs sold

v = # of videos sold

System of equations:

c + v = 40

4c + 6v = 180

I solved first equation for 'c' to get c = 40 - v

4(40-v) + 6v = 180

160 - 4v + 6v = 180

2v = 20

v = 10

10 + c = 40

c = 30

Answer:

4150

Step-by-step explanation:

Its 16.50

11.75 + 4.75

add them and you have your answer :) hope that helped

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

The product of (2a-1)(8a-5) is 16a² - 18a + 5.

To find the product of (2a-1)(8a-5), we can use the distributiveproperty. This means that we multiply each term in the first polynomial (2a-1) by each term in the second polynomial (8a-5) and then combine like terms.

Applying the distributive property, we have:

(2a-1)(8a-5) = 2a(8a) + 2a(-5) - 1(8a) - 1(-5)

Simplifying this expression, we get:

16a² - 10a - 8a + 5

Combining liketerms, we have:

16a² - 18a + 5

Therefore, the product of (2a-1)(8a-5) is 16a² - 18a + 5.

In this case, we multiplied each term of the first polynomial by each term of the second polynomial, resulting in four terms. Then, we combined like terms to simplify the expression. The final product is a quadratic polynomial with a leading coefficient of 16 and terms involving the variable 'a'.

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