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Mazyrski [523]
2 years ago
5

the cheese that ms.carter used to buy costs $6.00 per pound, but it's been marked up to 15%. suppose ms.carter buys 3.5 pounds o

f cheese. how much more does it cost at the new price than at the old price?
Mathematics
2 answers:
m_a_m_a [10]2 years ago
7 0
At the old price of $6.00 per pound, that would cost $21.00. If the cheese price is marked up 15%, then it will cost 6 x1.15=$6.90/ pound. So the new cost would be $6.90 x 3.5 = $24.15. So in other words, it would now cost $3.15 more in total for the 3.5 pounds. 
kap26 [50]2 years ago
5 0
Original price: 
6(3.5)
21
New Price:
1.15(21)
24.15

24.15-21
$3.15 more
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write the point slope form of the equation for a line that passes through the point 3, 1 and is parallel to the line y=3x+3
Galina-37 [17]

Answer:

y=3x-8

Step-by-step explanation:

If the line is parallel to y=3x+3, that would mean that they would have the same slope of 3. Then, once you plug it back into the equation along with the point given, you would get 1=3(3)+b. Solve from there, and you get b= -8. In conclusion, your point slope formula comes out to be y=3x-8.

Hope this helps! :)

4 0
2 years ago
Write the quadratic equation in general form and then choose the value of "b."
eduard
The answer is b. 11. 

You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly. 

First Numbers:
2x * x = 2x^2

Outer Numbers: 
2x * 6 = 12x

Inner Numbers: 
-1 * x = -1x

Last Numbers: 
-1*6 = -6

Now place them all in that order and simplify. 
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6

Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11. 
3 0
3 years ago
There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are the
Shtirlitz [24]

Answer:

(a) How many are there to select 2 pairs of gloves?

10 ways

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

130 ways

Step-by-step explanation:

We solve the above questions using Combination

Combination = C(n, r) = nCr

= n!/n! ×(n - r)!

(a) How many are there to select 2 pairs of gloves?

We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2

= 5!/2! × (5 - 2)!

= 5!/2! × 3!

= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!

= 10 ways.

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

We are told to select 4 gloves out of the 10 gloves = 10C4

We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴

= 80

Hence,

10C4 - 5C4

= [10!/4! × (10 - 4)!] - 80

= 210 - 80

= 130 ways

3 0
3 years ago
The steps to derive the quadratic formula are shown below:
Georgia [21]

Answer: x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

\left(x+\frac{b}{2a} \right)^2

So, taking the square root of both sides,

x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}

3 0
2 years ago
Answer the two questions below. Show ALL of your work.
Yuliya22 [10]

Answer A: 84π

Answer B: I'm also confused. If anyone else knows can you please help me also. Sorry for not answering B. I hope this helps though.

Step-by-step explanation:

Answer A:

V=1/3π 6^2 (7) Since 12 is a diameter you half it which is 6

V=1/3π 36(7)

V=1/3π 252

V= 252π/3

V=84π

3 0
3 years ago
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