Answer:
27 days
Step-by-step explanation:
A alone, rate per day = 1/36
A and B together, rate per day = 1 / 20
Total Workdone for 5 days :
1/ 20 * 5 = 5 / 20 = 1/4
Fraction of work left :
1 - 1/4 = 3/4
3 / 4 * 36 /1
= (3 * 36) / 4
= 108 / 4
= 27 days
Answer:
y=3x-9
Step-by-step explanation:
Let X = the 29% alloy and Y = the 60% alloy.
They want a total of 80kg, so you have X +Y = 80
Rewrite that to get X = 80-Y
You also want 0.20X + 0.60Y = 0.52(80)
Replace X with 80-y:
0.20(80-y) + 0.60y = 0.52(80)
Simplify:
16 - 0.20y + 0.60y = 41.6
Combine like terms:
16 +0.40y = 41.6
Subtract 16 from each side:
0.40y = 25.6
Divide both sides by 0.40
y = 25.6 / 0.40
y = 64
Now you have Y replace y with 80 in X = 80-Y
X = 80 - 64
X = 16
They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.
Answer: C: The orientation of the figure stayed the same
Step-by-step explanation:
Everything else is true
A. The figures do not change in dilation so they are still congruent
B. The pre-image does start in the top left which is quadrant 1
C. The orientation changes because the picture is reflected instead of translated so points D and E are in different respective locations
D. The image is a reflection. You can tell because both points D and E reflect across the Y-axis
Answer:
y = mx + b
Step-by-step explanation:
y represents the dependent variable (value you are getting).
m represents the slope of the line.
x represents the independent variable (what you are changing).
b represents the y-intercept, or the y value when x is zero.
