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scZoUnD [109]
2 years ago
15

New packaging for fruit snacks contains 10% less weight than the original packaging. If the new package costs 15% more than the

original package, by what fraction did the unit price increase? Express your answer as a common fraction.
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

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A rocket travels 2.8x10^4 km h^-1. find how far it travels in 5 hours
mixas84 [53]

It is given in the question that, a rocket travels 2.8x10^4 km h^-1.

It means in one hour, the rocket travels

2.8* 10^4km.

And we have to find how much the rocket travels in 5 hours, and for that we have to do multiplication, that is

2.8*10^4 *5 = 14*10^4 = 1.4* 10^5 km

8 0
3 years ago
The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the eq
Slav-nsk [51]

The regression equation based on the information given about the sugar contents will be 0.18x - 20.84.

<h3>How to explain the regression?</h3>

It should be noted that from the information, the accompanying data are the caloric contents and the sugar contents of 11 high-fiber breakfast cereals.

The sugar content will be:

a. 160 calories

= 0.18x - 20.84.

= 0.18(160) - 20.84

= 7.96

b. 90 calories

= 0.18x - 20.84.

= 0.18(90) - 20.84

= -4.64

c. 175 calories

= 0.18x - 20.84.

= 0.18(175) - 20.84

= 10.66

d. 208 calories

= 0.18x - 20.84.

= 0.18(208) - 20.84

= 16.6

Therefore, the sugar contents is illustrated above.

Learn more about regression on:

brainly.com/question/25987747

#SPJ1

8 0
1 year ago
10 - 3*3 / 9 = ?<br><br> * = to the power of<br><br> / = divided by
Neporo4naja [7]

Answer:

7

Step-by-step explanation:

you need to use PEMDAS

3 x 3 x 3 = 27 divided by 9 is 3 and 10-3=7

6 0
3 years ago
You decide to put $150 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate
zheka24 [161]
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 150
R interest rate 0.025
T time?
3000=150 (1+0.025/12)^12t
Solve for t
3000/150=(1+0.025/12)^12t
Take the log
Log (3000/150)=log (1+0.025/12)×12t
12t=Log (3000/150)÷log (1+0.025/12)
T=(log(3,000÷150)÷log(1+0.025÷12))÷12
T=119.95 years
8 0
3 years ago
Read 2 more answers
Is it true that if one of the factors is 0, the product is 1?​
kaheart [24]

Answer:

The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0. (This is not really new.) If ab = 0, then either a = 0 or b = 0, or both a and b are 0.

hope it helped

5 0
2 years ago
Read 2 more answers
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