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kherson [118]
3 years ago
10

Your favorite craft store had a weekend sale. On the first day, all $10 items were 70% off. You bought some number of these of t

hese sale items (n) and one $8 item. On the second day, all $10 items were 60% off. You returned and spent the same amount of money as the day before. You purchased a $5 item and an equal number of sale items as the day before (n). How many total sale items did you purchase and how much money did you spend at the craft store during the sale? Part I: Complete the table below to write a system of equations to find the number of sale items purchased and the amount of money spent
Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
For the first day we have the following function:
 f (n) = (0.3 * 10) n + 8
 For the second day we have the following function:
 f (n) = (0.4 * 10) n + 5
 You spent the same amount of money as the day before:
 (0.3 * 10) n + 8 = (0.4 * 10) n + 5
 3n + 8 = 4n + 5
 n = 8-5
 n = 3 items
 We evaluate each function for n = 3
 f (3) = (0.3 * 10) * 3 + 8 = 17 $
 f (3) = (0.4 * 10) * 3 + 5 = 17 $
 The total amount of money is:
 17 + 17 = 34 $
 Answer:
 
you purchase 6 items
 
you spend at the craft store during the sale $ 34
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Select the correct answer.
Licemer1 [7]

Answer:

C

Step-by-step explanation:

Taking the equation for this we can see that A is using 8 to multiply. 8% = 0.08. But since the percent is increases it would be 1.08. So we can see that it cant be A, this applys for B as well. For D it says 1.8 which is close but that would be 80% not 8%. So now we can see that C is the answer.

5 0
2 years ago
Read 2 more answers
Which is a quadratic function?<br><br> A. 3x+y^2=5<br> B. y=3x+5<br> C. x=3y+5<br> D. 3x^2+y=5
xxMikexx [17]
I would say that all are
3 0
3 years ago
HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
2 years ago
Michael jogs at 3 miles per hour and Jack runs at 4.5 miles per hour. If Michael starts at 2:00 pm and Jack starts on the same c
tresset_1 [31]

Answer:

It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

Step-by-step explanation:

Micheal  runs 3 miles in one hour or 60 minutes.

In one minute he runs 3/60= 1/20  or 0.05miles.

Jack runs 4.5 miles in one hour or 60 minutes.

In one minute he runs 4.5/60= 45/600= 9/120= 3/40  or 0.075 miles.

So Jack is 0.075/0.05 = 1.5 times faster than Micheal.

or Micheal is 1.5 times slower than Jack.

Jack starts from 2:20 pm and at 3 pm he will run 0.075(40 minutes)= 3miles

Micheal start at 2:00 pm and at 3 pm he will run 0.05(60 minutes)= 3 miles

So at 3 pm both will have covered equal distance= 3miles.

It will take Jack 40 minutes to cover the same distance which Micheal covers in 60 minutes. Both will meet at 3 miles distance at 3 pm.

3 0
3 years ago
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each
vodomira [7]
Well if each portion is 3 pounds and there is 4 portions all together it would be 12 pounds. you already know know that the meat is 2 pounds so you subtract 2 from the whole and you are left with 10. The chopped vegetables are 10 pounds in total.
The answer is
4x3=12-2=10

6 0
2 years ago
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