1(6p-9) because 3(2p-3)=6p-9 1(6p-9)=6p-9 too
This load will weigh
1.5 TONS ALTOGETHER.
So, the truck is delivering a
ton of cement blocks, and a
of bricks. To find how much this load weighs, we'd have to add the two fractions together, which proves to be quite easy, because the denominators are already the same, so we wouldn't have to change anything.
+
=
And now, we would want to convert that fraction into a whole number, or at least a decimal, to find how many tons the truck is carrying. So we would divide. Once the work is done, here is what would happen:
12 ÷ 8 = 1.5
And there's your answer. The truck is carrying
1.5 TONS.
Answer:
5 cartons of eggs
3 packages of steaks
Total cost=$55
Step-by-step explanation:
Hi, to answer this question we have to find the least common multiple of
6 (number of eggs in a carton) and 10 (number of ham steaks in each package)
LCM = 30
6 12 18 24 30
10 20 30 40 50
Since each carton of eggs (x) has 6 eggs, that expression must be equal to 30(eggs) to find the number of cartons.
6 (x ) = 30
Solving for x
x = 30/6
x = 5 cartons
Same process for the steak, where y= number of packages .
10 y = 30
y = 30/10
y=3 packages
Since each carton costs $2 and each package of steaks cost $15:
Total Cost =x 2+y 15
Replacing with the values of x and y calculated
Total cost = (5)2 + (3)15 = 10+45 =$55
Feel free to ask for more if needed or if you did not understand something.
0.279754601
is the correct answer
Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
_____
<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
__
It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
