Answer:
The blue portion of the flag is actually 2/6 or 1/3 of the flag
Step-by-step explanation:
If you look at the size of the blue portion of the line it takes up twice the space as the white part. Imagine a small line drawn through the middle of the blue rectangle, now you can see that the flag is split up into 6 parts, rather then 5! Since we now have 2/6 of the flag being taken up by blue, that can be reduced down to 1/3 of the flag covered in blue.
Answer:
Perimeter=100 area=688.19
Step-by-step explanation:
There's a big formula for area of pentagon and I pretty tired, so unless you want me to show my work I wont
The slope of the given line = 1 so the slope of the line perpendicular to it will be -(1/1) = -1.
It also passes through point (1, -1) so we use the point slope equation
y - y1 = m(x - x1)
y - -1) = -1(x - 1)
y + 1 = -x + 1
y = - x <--------- that's the answer
Answer:
Number of heavy equipment operators hired were 22
Number of general laborers hired were 11
Explanation:
Assume that number of heavy equipment operators hired is x and that number of general laborers is y.
We are given that:
1- Total number of hired people is 33. This means that:
x + y = 33
This can be rewritten as:
x = 33 - y ...........> equation I
2- heavy equipment operators are paid $135, general laborers are paid $89 and that the total payment was $3949. This means that:
135x + 89y = 3949 ............> equation II
Substitute with equation I in equation II and solve for y as follows:
135x + 89y = 3949
135(33-y) + 89y = 3949
4455 - 135y + 89y = 3949
506 = 46y
y = 506 / 46
y = 11
Substitute with y in equation I to get the value of x as follows:
x = 33 - y
x = 33 - 11
x = 22
Hope this helps :)
Answer:
1110 liters
Step-by-step explanation:
Let x = amount of 26% juice.
Amount of tomato juice:
740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice
x liters of 26% juice contains 0.26x liters of tomato juice
The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.
266.4 + 0.26x = 0.3(x + 740)
266.4 + 0.26x = 0.3x + 222
-0.04x = -44.4
x = 1110
Answer: 1110 liters
