<h3>
Answer:</h3>
- 32 kg of 30% copper
- 48 kg of 55% copper
<h3>
Step-by-step explanation:</h3>
Let x represent the mass of 55% copper alloy that is to be used in the mix. Then 80-x is the mass of 30% copper alloy to be used. The total amount of copper in the mix is then ...
... 0.55x + 0.30(80-x) = 0.45·80
... 0.25x = 12 . . . . . . simplify, subtract 24
... x = 48 . . . . . . . . . divide by the coefficient of x
... 80-x = 32 . . . . . . the mass of 30% copper alloy required
The metalworker should combine 32 kg of 30% copper alloy with 48 kg of 55% copper alloy to make 80 kg of 45% copper alloy.
Answer: 27.688
Step-by-step explanation:
The critical chi-square value 
depends on significance level (
) and degrees of freedom (df) .
Given significance level: () = 1% = 0.01
Degrees of freedom (df)= 13
From the chi-square table, the critical chi-square value for df = 13 and 
is 
Hence, the required critical value = 27.688
Answer:
24 - x = y
Step-by-step explanation:
one point goes on 22 while another goes on 24
The equation for the leg length, y is y = (P - 2x - 4)/2
The length of the leg "y" is 3 feet
a) Given the perimeter of the trapezoid expressed as:
P=2x + 2y + 4.
We are to make <em>y the subject of the formula </em>as shown:
P = 2(x+y) + 4
P - 2x = 2y + 4
P - 2x - 4 = 2y
Swap
2y = P - 2x - 4
y = (P - 2x - 4)/2
Hence the equation for the leg length, y is y = (P - 2x - 4)/2
b) Give that P = 26 feet and x = 8feet
y = (P - 2x - 4)/2
y = (26 - 2(8) - 4)/2
P = 26-20/2
P = 6/2
y = 3 feet
This shows that the length of the leg "y" is 3 feet
Learn more here: brainly.com/question/18370541
Answer:
1. while I was doing the dishes, the parrot sang along with the radio.
2. dangling
Step-by-step explanation:
In the first question, the original question make it seem like the parrot was doing the dishes. In the second question, a dangling modifier is usually found at the beginning of sentences.
