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adoni [48]
3 years ago
7

Peanuts are $2 a pound and raisins are $4 a pound. Julian bought a 7 pound mixture of peanuts and raisins for $20. How many poun

ds of each were in the mixture?
Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0

Answer:

there was 3 pounds of raisins and 4 pounds peanuts.

Step-by-step explanation:

4 times 3 =12 and 2 times 4 = 8. 3+4=7 so 7 pounds. 12+8=20 so $20.

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For question 3, use the Pythagorean Theorem.
Juliette [100K]

Step-by-step explanation:

can't really use the Pythagorean because you don't know this is a right triangle.

use the fact that they are similar

so

3/6 = x/12 where x is FE

cross multiply

6x = 36 therefore FE = 6

then 6/12 = y/9 where y is FD

cross multiply

12y = 54 = 54/12 therefore FD = 4.5

3 0
2 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
Shtirlitz [24]

Answer:

Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u>\mu<u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0
3 years ago
a rectangular prism measures 2 in by 4 in by 8 in what is the side length of a cube with the same volume
Umnica [9.8K]
<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ First find the volume of the rectangular prism:

2 x 4 x 8 = 64

Now you need to cube root it, this would be because all lengths of a cube are equal:

\sqrt[3]{64} = 4

The side length would be 4 inches.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0
3 years ago
beth poured the same amount of juice into 10 glasses. she used 2quarts of juice. how much juice is in each glass
vaieri [72.5K]
Hi there, 
To find your answer you would, divide 2 by 10. That would give you 0.2. That means that every glass will have 0.2quarts of juice. 
Hope this helped!
7 0
3 years ago
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Write the relation as a set of ordered pairs.
atroni [7]
Not 100% sure but I think it’s b. hope this helps!
3 0
3 years ago
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