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Elden [556K]
3 years ago
15

When Arjun makes hot cocoa, he adds 20ml of chocolate syrup for every 3 ounces of hot water. Arjun's brother, Eli, adds 45mL of

chocolate syrup for every 6 ounces of hot water.
Which hot cocoa is more chocolatey?.
Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

Eli

Step-by-step explanation:

To find the most chocolately, analyze the unit rate per 1 ounce. The unit rate with more chocolate in ml per 1 ounce will be more chocolately.

To find the unit rate, create a fraction of syrup over hot water.

Arjun - \frac{20ml}{3}= 6.67 ml per 1 ounce

Eli - \frac{45ml}{6} = 7.5 ml per 1 ounce

Eli's is greater and therefore more chocolately.

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A circular pond 24 yd in
Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0
3 years ago
Read 2 more answers
Simplify and write the complex number in standard form 4i(7+6i)+2i(5-2i)
Bezzdna [24]

Answer:

20i² + 38i

Step-by-step explanation:

4i(7+6i)+2i(5-2i)

28i + 24i² + 10i - 4i²

24i² - 4i² + 28i + 10i

20i² + 38i

3 0
3 years ago
Read 2 more answers
Planet ruba has a population of 1 million alien planet Zamba has one hundred thousand million how many more aliens does planet r
Elena-2011 [213]
Let's put it into numbers:

Ruba: 1 000 000

Zamba: 100 000 000 000

Zamba has many more aliens than Ruba!!!

it has 100 000 000 000/1 000 000 =100 000 times more aliens,

in absolute numbers: 100 000 000 000 - 1000 000 =  =99 999 900 000

100 000 000 000
           - 100 000
=99 999 900 000

7 0
3 years ago
F(x+h)-f(x)/h<br> f(x) = 2x 2 + 7x
Karolina [17]
174992774 there you go chicken
7 0
3 years ago
How do i do this help
Ratling [72]
I don't know if u can see it, but there.
X=12
Y=15
Z=20

5 0
3 years ago
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