Answer:
<em> There are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>
Step-by-step explanation:
Let the amount of bale of 100 pounds be x and the bale of hale of 150pounds be y
If fifteen bales of hale were loaded into a truck, then x+y = 15 ... 1
Also if some of the bales weight 150 pounds, and some weighed 100 pounds with total weight of pounds to be 1900 pounds, then mathematically;
150y + 100x = 1900
Dividing through by 100;
1.5y+x = 19 ..... 2
Solving equation 1 and 2 simultaneously;
x+y = 15 ... 1
1.5y+x = 19 .... 2
Subtracting 1 from 2
y-1.5y = 15-19
-0.5y = -4
Divide both sides by 0.5
-0.5y/-0.5 = -4/-0.5
y = 8
Substituting y = 8 into equation 1, we will have;
x+y = 15
x+8 = 15
x = 15-8
x = 7
<em>Hence there are 7 bales of 100 pounds and 8 bales of 150 pounds hale</em>
<em></em>
B
calculate the slopes m of the 2 lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )
= 
= 
= - 4
repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )
= 
= 
= 
The 2 lines are perpendicular because their slopes are negative reciprocals
Answer: B
Step-by-step explanation:
Answer:
C. 33,493.33 cubic units
Step-by-step explanation:
The explanation is attached in the picture:
Answer:
100 dollars
Step-by-step explanation:
Taylor saved two dollars each time and she has 40 which is 20 x 2=40 so do the same for her brother 5 x 20= 100.
