Answer:
Step 1 : Multiple both sides by 2
3x + 2y = 1
4x - 2y = 20
Step 2 : Eliminate 1 variable by adding the equations
7x = 21
Step 3 : Divide both sides by 7 to solve for x
x = 3
Step 4: Substitute the value of x into 3x + 2y = 1
3(3) + 2y = 1
Step 5: Solve for y
2y = 1 - 9
2y = -8
*divide by 2
y = - 4
Solution:
(x,y) = (3, -4)
Answer:
208 1/8 hours
Step-by-step explanation:
The amount of time saved on each trip is ...
(3/4 h) - (1/4)(3/4 h) = (3/4)(3/4 h) = 9/16 h
There are 2×5×37 = 370 trips in the school year, so the total savings in time is about ...
370×(9/16 h) = 208 1/8 h
Answer:
- Number of calories in burger = 620 calories
- Number of calories in hotdog = 400 calories
Step-by-step explanation:
Number of calories in burger = x
Number of calories in hotdog = y
y = x - 220
x + 2y = 1,420
Substitution:
x + 2 * (x - 220) = 1,420
x + 2x - 440 = 1,420
3x = 1,420 + 440
x = 1,860 / 3
x = 620 calories
y = x - 220
= 620 - 220
= 400 calories
Answer:
height = 11.5 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = 
h(a + b)
where h is the height and a, b the bases
here a = 21, b = 8 and A = 166.75, hence
h(21 + 8) = 166.75
Multiply both sides by 2 to eliminate the fraction
29h = 333.5 ( divide both sides by 29 )
h = 11.5 in
Answer:
1295/36
Step-by-step explanation:
the statement tell us:
(7-(5/6))*(7-(7/6))
we have:
(7-(5/6))=((6*7)-5)/6=(42-5)/6=37/6
and we have:
(7-(7/6))=((6*7)-7)/6=(42-7)/6=35/6
we need multiply both terms:
(37/6)*(35/6)=(37*35)/(6*6)
finally we have
1295/36
