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Daniel [21]
4 years ago
7

Anita works at a local news station and needs to decide which news story to report first. Of the news stories, 3 are local, 4 ar

e international, and 5 national. The stories are equally important so anita randomly orders the stories. What is the probability that the first story is a national story. Give your answer as a fraction
Mathematics
1 answer:
Alexxx [7]4 years ago
7 0
Answer: 5/12

In order to solve this, you would add up all of the news stories she has and then put the number of national stories on top of the total news stories to give you 5/12. (There’s a total of 12 news stories and 5 of them are national.)
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One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord
RideAnS [48]
X=amount of canned juice with 25% of orange juice
y=amount of other canned juice with 10% of orange juice.
25%=25/100=1/4
10%=10/100=1/10
17%=17/100
We can suggest this system of equations:
(1)    x+y=15

(2)    (x/4+y/10) / (x+y)=17/100  ⇒100(x/4 + y/10)=17(x+y)  ⇒25x+10y=17x+17y  ⇒8x-7y=0

Finally, we have this system of equations:
x+y=15
8x-7y=0

We can solve this system by substitution method. 
x+y=15      ⇒    y=15-x

8x-7(15-x)=0
8x-105+7x=0
15x=105
x=105/15
x=7

y=15-x=15-7=8

answer: we should mix 7 liters of juice (with 25% orange juice) and 8 liters of juice (with 10% orange juice). 


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A map uses a scale of 1 in. : 20 mi. If the distance between two cities on the map is 1.5
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Step-by-step explanation:

the \: gradient \: of \: line \: a \: is

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Answer:

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Step-by-step explanation:

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This means she must have had 5\frac{13}{40} gallons to start with because 5\frac{7}{8} - 11.55 = 5\frac{13}{40}

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