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bulgar [2K]
2 years ago
13

A store is currently offering a 60% discount on all items purchased. Your cashier is trying to convince you to open a store cred

it card and says to you, "In addition to the 60% discount you are receiving for purchasing these items on sale today, you will get an additional 20% off for opening a credit card account. That means you are getting 80% off!"
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. If you did truly have 80% discount, explain what should happen when you go to the counter to buy $500 worth of items?
d. If you got your 60% discount and opened the card for an additional 20%, what is the actual % discount you would receive?
e. Is it better to apply the 60% discount first or the 20% discount first?
Mathematics
1 answer:
oee [108]2 years ago
6 0

Answer:

a the assumption is that after the 60% discount, the 20% will contribute to the old price, not the adjusted price

b this is incorrect because the 20% discount will be added on after the 60% discount has been used

c the 500 dollars would turn to 100 dollars

d 40

e it would be best to first apply the 60% coupon first over the 20% coupon

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14. Work needed to solve the problem: April can buy a package of 10 folders for $1.20 or a package of 8 folders for $1.12. What
Mars2501 [29]

Answer:

1.20 divided by 10 =  .12 cents per folder

1.12 divided by 8 = .14 cents per folder

Step-by-step explanation:

5 0
3 years ago
Dried bananas sell at $4.59/kg and dried apricots sell at $6.59/kg. How many of kilograms of each should be used to make a mixtu
vitfil [10]

Answer:

Weight of dried bananas = 34.75 kg

Weight of dried apricot = 15.25 kg

Step-by-step explanation:

Given that:

Cost of dried bananas = $4.59 per kg

Cost of dried apricots = $6.59 per kg

Total weight of mixture = 50 kg

Sales price of dried fruit = $5.20 per kg

To find:

The weight of each type of dry fruit = ?

Solution:

Let weight of dried bananas = x kg

Let weight of dried apricot = y kg

x+y=50 ...... (1)

Total cost of dried bananas = Cost of dried bananas per kg multiplied by weight of dried bananas

Total cost of dried bananas = $4.59x

Total cost of dried apricots = Cost of dried apricots per kg multiplied by weight of dried apricots

Total cost of dried apricots = $6.59y

As per question statement,

Total cost of dry fruits = $5.20 \times 50 = $260

260 = 4.59x+6.59y......(2)

Using <em>substitution:</em>

By equation (1):

x = 50-y

Putting in equation (2):

260 = 4.59 (50-y)+6.59y\\\Rightarrow 2y = 260 - 229.5\\\Rightarrow y = 15.25\ kg

x = 50 - 15.25\\\Rightarrow x = 34.75\ kg

Therefore, the answer is:

Weight of dried bananas = 34.75 kg

Weight of dried apricot = 15.25 kg

3 0
3 years ago
1. Solve the following equation.(MAFS.8.EE.3.7)<br><br> 5(3x + 7) + 2x = 7x – 5(–2x + 9)
Ksivusya [100]

Answer:

there is no solution

Step-by-step explanation:

Expand.

15x+35+2x=7x+10x-4515x+35+2x=7x+10x−45

2 Simplify  15x+35+2x15x+35+2x  to  17x+3517x+35.

17x+35=7x+10x-4517x+35=7x+10x−45

3 Simplify  7x+10x-457x+10x−45  to  17x-4517x−45.

17x+35=17x-4517x+35=17x−45

4 Cancel 17x17x on both sides.

35=-4535=−45

5 Since 35=-4535=−45 is false, there is no solution.

No Solution

4 0
3 years ago
Read 2 more answers
Can you guys help me out!! Also can y’all show the work!
Lelechka [254]

Answer:

233.3 cubic units

Step-by-step explanation:

Volume of a pyramid

=  \frac{1}{3} × base area × height

The volume of the pyramid

=  \frac{1}{3}  \times (10 \times 10) \times 7

= \frac{1}{3}  \times 100 \times 7

= 233.333...

= 233.3 cubic units (rounded to the nearest tenth)

7 0
3 years ago
Read 2 more answers
Lucy's fish tank has 14 liters of water in it. She plans to add 5 liters per minute until the tank has at least 49 liters. What
Fudgin [204]

Answer:

V = 14 + 5t

14 + 5t ≥ 49

Lucy has to add water at least for 7 minutes.

Step-by-step explanation:

There were 14 liters of water in Lucy's fish tank. She was about to add water at the rate of 5 liters per minute until there were at least 49 liters of water in the tank.

If t represents the number of minutes she adds water and V is the volume of water in liters in the fish tank, then we can write the equation as

V = 14 + 5t ........... (1)

Now, this volume of water in the tank V must be at least 49 liters.

So, 14 + 5t ≥ 49 is the required inequality.

⇒ 5t ≥ 35

⇒ t ≥ 7

So, Lucy has to add water at least for 7 minutes. (Answer)

8 0
4 years ago
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