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BlackZzzverrR [31]
3 years ago
6

The heights of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20 cm and 20 cm was cut off the top of

the cherry tree, the ratio of their heights would be 3:1. How much taller is the maple tree than the cherry tree?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0
Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know: 
</span>\frac{x}{y} = \frac{5}{2}
<span>The new ratio is obtained like this:
</span>\frac{x+20}{y-20} = \frac{3}{1}.
From the above equation we get x= (y-20)\frac{3}{1} -20.
then \frac{ (y-20)\frac{3}{1} -20}{y} = \frac{5}{2}
Solving the above equation for y we get: y=160
So x=400
So the first tree is (400-160=240) more taller than cherry tree. 
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Suppose you invest $1,600 at an annual interest rate of 4.6% compounded continuously how much will you have in the account after
DanielleElmas [232]
Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 * <span> <span> <span> 1.2020158231 </span> </span> </span>
Total = <span> <span> <span> 1,923.23</span></span> </span>

Source:
http://www.1728.org/rate2.htm





8 0
3 years ago
Please help meee it has time limit​
Zanzabum

Answer:

It is boxes of cereal and bags of pretzels.

Step-by-step explanation:

Boxes of cereal costs $3.95 per box and pretzels cost $3.59 per bag. This is because 15.8÷4= $3.95 and 10.77÷3= $3.59

5 0
3 years ago
X squared +10x-24<br><img src="https://tex.z-dn.net/?f=x%20%7B%3F%7D%5E%7B2%7D%20%20%2B%2010x%20-%2024" id="TexFormula1" title="
insens350 [35]
Solve for x using factorizing:
x^2 + 10 x - 24 = 0

The left hand side factors into a product with two terms:
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Split into two equations:
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Add 2 to both sides:
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Subtract 12 from both sides:
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3 0
3 years ago
Maria and Franco are mixing sports drinks for a track meet. Maria uses 2/3 cup of powdered mix for every 2 gallons of water. Fra
Otrada [13]

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

6 0
3 years ago
Find the radius if the diameter is 19<br> r= 38<br> r= 9.5<br> r = 18.5<br> r=361<br> ud
anastassius [24]

Answer:

r =9.5

Step-by-step explanation:

The radius is 1/2 of the diameter

r = d/2

r = 19/2

r =9.5

7 0
3 years ago
Read 2 more answers
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