Answer:
57/100, 0.57, 57%
Step-by-step explanation:
Answer:
- 4 bread loafs, 1 pound of meat, 3 pounds of cheese
Step-by-step explanation:
Let loaf of bread be b, meat be m and cheese be c
<u>Based on the given, we have following equations:</u>
- b + m + c = 8
- c = 3m
- b + 4m + 3c = 17
<u>Subtract the first equation from the third and substitute c with m:</u>
- b + 4m + 3c - (b + m + c) = 17 - 8
- 3m + 2c = 9
- 3m + 2(3m) = 9
- 9m = 9
- m = 1
<u>Then</u>
- c = 3*1 = 3
- b = 8 - (1 + 3) = 4
Answer:
D. 36.56 cm²
Step-by-step explanation:
The composite figure is composed of a rectangle and two semicircles.
The two semicircles makes 1 full circle.
Thus:
Area of the composite figure = area of rectangle + area of circle
= L*W + πr²
L = 6 cm
W = 4 cm
r = ½(4) = 2 cm
Area = 6*4 + π*2²
Area = 24 + 12.56
Area = 36.56 cm²
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The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
