(-2 1/2)×(-3 1/2) = (2 1/2)×(3 1/2) . . . . deal with the signs up front. The product of two negatives is a positive.
... = 2×(3 1/2) + (1/2)×(3 1/2) . . . . . use the distributive property
... = 2×3 + 2×(1/2) + (1/2)×3 + (1/2)×(1/2) . . . . and again
... = 6 + 1 + 3/2 + 1/4
... = 7 + (1 1/2) + 1/4
... = 8 + 2/4 + 1/4
... = 8 3/4
_____
On your calculator, -2.5 × -3.5 = 8.75.
Answer:
Step-by-step explanation:
type it out nd i can answer it
Let's just make 15 students a group. how many groups are there if there r 135 student? 135/15 = 9 groups.
so if each group have 4 adults just multiply 9 by 4,
therefore there will be 36.adults.
Answer:
x > 7/4
Step-by-step explanation:
3(x + 7) < 7(x + 2)
Expand brackets: 3x + 21 < 7x + 14
Subtract 14 from both sides: 3x +7 < 7x
Subtract 3x from both sides: 7 < 4x
Divide both sides by 4: 7/4 < x
Therefore x > 7/4
Answer:
26 rows
Step-by-step explanation:
this is like a rectangle length×width situation.
seats per row = s
number of rows = r
s × r = 884
s = r + 8
so, we can use e.g. the second equation in the first :
(r + 8) × r = 884
r² + 8r = 884
r² + 8r - 884 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = r
a = 1
b = 8
c = -884
r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =
= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =
= (-8 ± 60)/2 = -4 ± 30
r1 = -4 + 30 = 26
r2 = -4 - 30 = -34
a negative number did not make any sense for the number of rows, so r = 26 is our answer.
