Answer:
`49 MPH
Step-by-step explanation:
If it took them 15 hours to go 735 miles, and you are trying to find the average rate, then divide the miles by the time (in hours), so for this specific problem, it would be 735 divided by 15 hours, and you will find the answer as 49. (MPH)
Answer:
Step-by-step explanation:
To find the distance between a point (m, n ) and the line
Ax + By + C = 0
d = 
Here (m, n) = (6, 2) and rearranging the line
6x - y + 3 = 0 ← in general form
with A = 6, B = - 1 and C = 3 , then
d = 
= 
= 
Rationalise the denominator by multiplying numerator/ denominator by
= × 
=
← cancel 37 on numerator/ denominator
=
Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
Perimeter of a square = 4s where is the length of one side.
Equation:
Area = s^2
169 = s^2
s = 13 inches
B. 13 INCHES
Answer:
E. y - 4 = 6(x+2) is the answer
slope:
m = -8-4/-4+2 = 6
Formula:
y - ys1 = m(x - xs1)
hope this helps!
Step-by-step explanation:
