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3 years ago

Help with this please

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

1 bookcase = 1/5 gallons

x bookcase = 3 gallons

1/5x = 3

x = 3/0.2

x = 15

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Can you show me the work to get this answer write two expressions that have a gcf of 8xy

BigorU [14]

1) Expression 1: 16x^3 y

2) Expression 2: 24 xy^5

Procedure:

1) find the greatest common factor of the coefficients, 16 and 24:

16 = 2^4

24 = (2^3)*3

=> greatest common factor = 2^3 = 8

2) find the greatest common factor of x^3 y and xy^5

That is the common letters each raised to the lowest power:

=> xy

3) Then, the result is 8xy

5 0

3 years ago

A tank contains 100 gal of brine made by dissolving 80 Ib of salt in water. Pure water runs into the tank at the rate of 4 gal/m

ohaa [14]

Answer:

Step-by-step explanation:

Amount of brine = 100 gal

amount of salt = 80 lb

rate of water running = 4 gal / min

Let A be the amount of salt in lb in the tank at any time t.

(a) dA/dt = rate of salt in - rate of salt out

Rate of salt in = 0

rate of salt out = A x 4 / 100 = A / 25 lb/min

So, dA/dt = 0 - A/25 = - A/25 lb/min

$\frac{dA}{A}=-\frac{1}{25}dt$

$\int \frac{dA}{A}=-\frac{1}{25}\int dt$

$A(t) = C e^{-0.04t}$

When t = 0, A = 80 lb

So,

$A(t) = 80 e^{-0.04t}$

(b) Now, A = 40 lb

So,

$40 = 80 e^{-0.04t}$

$0.5 = e^{-0.04t}$

take log on both the sides

$ln 0.5 = - 0.04 t$

t = 17.3 minutes

8 0

3 years ago

A function has y-intercept of -2 and a slope of -1. which equation below describes the function?

ozzi

The correct equation should look something like this:
y= -1x - 2

Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.

From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.

Hope this helps!

8 0

3 years ago

A group of students ate 5/12 of a large pepperoni pizza and 8/10 of a large cheese pizza. Did they eat more pepperoni pizza or c

Shtirlitz [24]

The ate more cheese pizza because 8/10 is greater than 5/12

3 0

3 years ago

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You are to give an injection of a drug. The dosage is 0.4 mg per kilogram of bod The concentration of the drug in vial is listed

kipiarov [429]

Answer:

You inject 60.9628 milliliters of dosage