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Solnce55 [7]
3 years ago
11

Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred stra

wberry ice cream than vanilla ice cream?

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0
Since there are 300 students you have to use proportions to solve the percents. First for strawberry you need to set up a proportion such as x/300=30/100 to show you are trying to find 30%of 300. Then you must cross multiply so 300 times 30 and 100 times x. Then you have 9,000 and 100, so you divide 9,000 by 100 and then you get 90 which is the portion of kids who liked strawberry flavored ice cream. You should do the exact same thing for vanilla ice cream like this: x/300=29/100 but since you’re finding 29% you need to put a 29 over 100. Then you cross multiply and do 300 times 29 and do x times 100. Which makes you get 8,700 and 100, and then you divide 8,700 by 100 and get 87 for vanilla ice cream. Lastly you need to subtract 87 from 90 since it asked how many more students liked strawberry than vanilla: 90-87=

Can you please mark branliest? Thank you!
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rjkz [21]

Let’s say we have x gallons of brand 1 antifreeze and y gallons of brand 2 antifreeze. We know we need a total of 140 gallons, so one equation to relate the variables would be x+y=140. We also know that our final mixture should have 60% antifreeze, so another equation would be the weighted average of the two brands: .55x+.80y140=.60. (The weighted average is basically multiplying each % (55 and 80) by the number of gallons you have (x and y


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Now we have a system of two equations that we can solve.


x+y=140


.55x+.80y140=.60


*rearrange first equation to solve for y


:


y=140−x


*substitute this value in for y


in the second equation:


.55x+.80(140−x)140=.60


*use algebra and solve for x


:


The algebra shouldn’t be too complex, and I’m hoping you’re asking this about the setup rather than the actual algebra, and I’m lazy, and I used a calculator to solve this, and this is probably a long run-on sentence, and I got x=112


.


*plug this in to first equation and solve for y


:


y=140−112=28


x=112,y=28


112 gallons of brand 1 antifreeze, 28 gallons of brand 2 antifreeze. That’s a whole lot of antifreeze.

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3 years ago
Please help again! Same thing!
cestrela7 [59]

Answer:

a = - 3, b = 5

Step-by-step explanation:

To rationalise the denominator multiply the numerator/ denominator by \sqrt{2}

= \frac{\sqrt{2}(10-\sqrt{18})  }{(\sqrt{2})^2 }

= \frac{10\sqrt{2}-\sqrt{36}  }{2}

= \frac{10\sqrt{2}-6 }{2}

= 5\sqrt{2} - 3

= - 3 + 5\sqrt{2} ← in the form a + b\sqrt{2}

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Answer:

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Step-by-step explanation:

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WARRIOR [948]

Answer:

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Step-by-step explanation:

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