Answer:
a=7.2*1.5=10.8 cm
b=6.3/1.5=4.2 cm
Step-by-step explanation:
<u>Proportional Geometric Shapes
</u>
A) We are given two similar shapes of a logo. They are to be proportional. We only need to find the proportion ratio of two of them to find the rest of the lengths.
The upper sides have 7.5 cm and 5 cm respectively. This gives us the ratio
Which means all the measures of the smaller logo are 1.5 smaller than those of the larger. This means
b=6.3/1.5=4.2 cm
a=7.2*1.5=10.8 cm
B) To paint the logos, we need to cover its surface, so the ratio of the surface is 1.5*1.5=2.25
This means the cost to paint the larger logo is
Take the fouth square root of both sides
![\sqrt[4]{{x}^{4} } = \sqrt[4]{24}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%7Bx%7D%5E%7B4%7D%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B24%7D%20)
so
![x = \sqrt[4]{24} \: or \: x = - \sqrt[4]{24}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%5B4%5D%7B24%7D%20%20%5C%3A%20or%20%5C%3A%20%20x%20%3D%20%20-%20%20%5Csqrt%5B4%5D%7B24%7D%20)
Answer:
15 containers
Step-by-step explanation:
If the circus sells an average of 28,200 grams of peanuts you can expect that it would be close to that number again, it is equal to 28.2 kilograms. Since it only ships in 2 kilogram containers then you would want to buy 15 of them since 15*2=30, which is above what we need.
Let's say x = 15% copper and y = 75% copper
We need 120 kg of a 51% copper alloy.
A) x + y = 120
B) .15x + .75y = 61.2 (which is 120*.51%)
Multiplying A by -.15
A) -.15x -.15y = -18 Then add this to B
.60y = 43.2
y = 72
x = 48
I'd suggest you look at this web page
http://www.1728.org/mixture.htm
***************************************
Double Check
48 kilograms of .15% copper = 7.2 kg copper
72 kilograms of .75% copper = 54 kg kg copper
So we have 61.2 kg of copper in 120 kg
61.2 / 120 = .51 = 51%
