Answer:
A) 200 is to 300 dollars
B)150 is to 350 dollars
C) 250 is to 250
Step-by-step explanation:
Part A) We want to divide $500 in the ratio 2:3 using the unitary method.
The total ratio is 2+3=5.
This means one unit is
=$100
Therefore $500 in the ratio 2:3 is 2*100=200 to 3*100=300
Part B) We want to divide $500 in the ratio 3:7 using the unitary method.
The total ratio is 3+7=10.
This means one unit is
=$50
Therefore $500 in the ratio 3:7 is 3*50=150 to 7*50=350
Part C) We want to divide $500 in the ratio 1:1 using the unitary method.
The total ratio is 1+1=2.
This means one unit is
=$250
Therefore $500 in the ratio 1:1 is 1*250=250 to 1*250=250
<span>replace Y = 5x - 13
into
4x + 3y = 18
</span>
4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
4x -24 = 18
4x = 18 +24
4x = 42
x = 42/4
x = 10.5
Y = 5(10.5) - 13
= 52.5 - 13
= 39.5
answer: x = 10.5 and y = 39.5
Answer:
line segments j' k' and m' n' do not intersect and are the same distance apart as jk and mn
Step-by-step explanation:
this is because if jk and mn are both moved to the left two units, the space between them does not change
[ y - 4 = x - 8 ] is not the equation of the line that goes through
those two points. The first point (8, 4) is on the graph of that
equation, but the second point (0, 2) is not.
The slope/intercept equation of the line that passes through
both points (8, 4) and (0, 2) is
y = 1/4 x + 2 .
The slope/intercept form of [ y - 4 = x - 8 ] is
y = x - 4 .
Answer:
162.5mi
Step-by-step explanation:
If the scale of the map is 1in:25mi, and you measure 6.5in between two twoms, then the real distance would be 6.5in*25mi = 162.5mi.