Answer:
(6, - 4 )
Step-by-step explanation:
Given the 2 equations
-
y = 3 → (1)
x -
= 12 → (2)
Multiply (1) by 8 and (2) by 6 to clear the fractions
2x - 3y = 24 → (3)
10x - 3y = 72 → (4)
Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides
- 3y = 24 - 2x
Substitute 3y = 24 - 2x into (4)
10x + 24 - 2x = 72, that is
8x + 24 = 72 ( subtract 24 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Substitute x = 6 in either (3) or (4) and solve for y
Substituting in (3)
2(6) - 3y = 24
12 - 3y = 24 ( subtract 12 from both sides )
- 3y = 12 ( divide both sides by - 3 )
y = - 4
Solution is (6, - 4 )
S= number of small boxes
l= number of large boxes
equation 1: s+l=120
equation 2: 15s+45l=3300
solve by elimination, multiply equation 1 by -15.
-15(s+l=120) = -15s-15l=-1800 add to equation 2.
-15s+15s-15l+45l=-1800+3300 = 30l=1500
30l=1500 , l=50
s+l=120, s+50=120 --> s=70
Answer:
B
Step-by-step explanation:
The figure is a trapezium with area (A) calculated as
A =
h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 8, a = 10 and b = 6, thus
A =
× 8 × (10 + 6) = 4 × 16 = 64 cm² → B
Answer: 8 bagels for 5
Step-by-step explanation:so you’re going to divide the price to the quantity which will be 5/8= 0.6
3.39/6=0.56 ans you’ll take the 8 bagels for 5 because one bagel is approximately like the 6 bagels for 3.39
Answer:
FALSE
Step-by-step explanation:
and
are not equal.
If we assign numbers to both variables, for example x=1 and y = 2, we get:
. This shows that .5 is not equal to 2, therefore a fraction of something (x) is not always equal to a fraction of another something.