A fall candle gift set has 4 vanilla candles and 6 pumpkin spice candles. Use v to represent the cost of each vanilla candle and p to represent the cost of each pumpkin candle. Write and simplify an expression that represents the total cost of 4 sets

Answers

Answer 1

Answer: 4x6=V its very simple actually, you just have to times the 4 by 6

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A study found that a student's GPA, g, is related to the number of hours worked each week, h, by the equation g=-0.0007h^2+0.015h+3.03. Estimate the number of hours worked each week for a student with a GPA of 2.15.

Answers

Answer:

A student with GPA of 2.15 worked 47.8 hours per week.

Step-by-step explanation:

To find the numbers of hours worked when the GPA is 2.15, we solve the equation when $g=2.15$ or:

$2.15= -0.0007h^2+0.015h+3.03$

which can be rewritten as (by subtracting 2.15 from both sides)

$-0.0007h^2+0.015h+0.88=0$ .

We solve this using the quadratic equation which says, for $ax^2+bx+c=0$ ,

$x=(-b\pm√(b^2-4ac) )/(2a)$

in our case

$a=-0.0007$

$b=0.015$ ,

therefore, we have

$x=(-0.015\pm√(0.015^2-4(-0.0007)(0.88)) )/(2((-0.0007) )$

$x=(-0.015\pm0.051856 )/(-0.0014 )$

$\boxed{x=47.8}\n\n \boxed{x =-26.3}$

and since only the positive solution applies to the real word, we choose $x=47.8$ , and therefore, a student with GPA of 2.15 worked 47.8 hours per week.

Your model locomotive is 18 inches long. It is an exact model of a locomotive that is 72 feet long. A window on the locomotive is how many times wider than a window on the model?

Answers

Your model locomotive (x) = 18 inches
72 feet (y)= 72*12 inches
= 864 inches

Ratio = x:y
= 18:864
= 18/864
= 1/48
= 1:48

How much simple interest is earned on an investment of $1,250 if the money is invested for 5 years at an annual interest rate of 4.5%

Answers

Simple interest I= prt. 1,250 x 4.5 x 5 equals $28,125

Answer:

28, 125

Step-by-step explanation:

Its so easy

1,250 x 4.5 = 5,625

5,625 x 5 = 28,125

You roll a regular pair of number cubes. How likely is it that the product of the two numbers is odd and greater than 25?

Answers

Impossible; the only possible products greater than 25 (30 and 36) are even.

-2 = p - 1
What does p equal?

Answers

-2=p-1
+1 +1
_________
-1=p

So the answer is -1

-2 = p - 1
flip the equation
p - 1 = -2
add 1 to both sides
p - 1 + 1 = -2 + 1
p = -1

answer is p = -1

why does the multiplication property of equality not allow us to divide both sides of an equation by zero

Answers

Answer:

Yeah, it doesn't...and it won't happen

Step-by-step explanation:

Because dividing with zero isn't a "thing" in math. Let's say you have 12 cookiesbut you're saying you are going to divide among zero people? See? It doesn't even have a real answer because no action happens, but if you said you would split the 12 cookies among 6 people that would means each person would get 2. So multiplying and dividing with zero isn't real math, that's why it doesn't work with equations and math in general.

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