2r-3.1=1.7 add 3.1
2r=1.7+3.1 divide by 2 to isolate r
2r/2=4.8/2
r=2.4
check
2(2.4)-3.1=1.7
4.8-3.1=1.7
1.7=1.7
4t+3.5=12.5 sub 3.5
4t=12.5-3.5 divide by 4
4t/4=9/4
t=9/4
check
4(9/4)+3.5=12.5
9+3.5=12.5
12.5=12.5
8m-5.5=10.1 add 5.5
8m=10.1+5.5 divide by 8
8m/8=15.6/8
m=1.95
check
8(1.95)-5.5=10.1
15.6-5.5=10.1
10.1=10.1
Answer:
m=16/39
Step-by-step explanation:
-5(4m-2)=-2/3+6m
-20m+10=-2/3+6m
-20m-6m=-2/3-10
-26m=-2/3-30/3
-26m=-32/3
26m=32/3
m=(32/3)/26
m=(32/3)(1/26)
m=32/78
m=16/39
Hmmmm judging by the values in between integers, like 2.5, 1.5, -2.5, -3.5 and so on, those values always produce a smaller number hmm that sounds whack... lemme put it differently.
a floor() function, namely ⌊x⌋ like that, will floor the decimal values, so ⌊2.5⌋ floors to 2, because 2.5 is between 2 and 3, and the smallest is 2, the "floor", the 3 will be the "ceiling".
so for a floor function, ⌊1.5⌋ is 1, 1.5 is between 1 and 2, 1 is the smallest, ⌊-3.5⌋ is -4, recall that on the negative side, the closer to 0, the larger, so -1 is much larger than -1000.
and say ⌊-1.35⌋ is -2, -1.35 is between -2 an -1 and -2 is the smallest, the "floor".
that said
x = 2.5 ⌊ 2.5 + 3⌋ is ⌊5.5⌋ which is 5
x = 1.5 ⌊ 1.5 + 3 ⌋ is ⌊4.5⌋ which is 4
x = -2.749 ⌊ -2.749 + 3⌋ is ⌊0.251⌋ which is 0
anyway and so on, so you can pretty much see is the floor function of ⌊ x + 3⌋.
Answer:
An equation in standard form modeling this situation is:
75x + 50x = 425
Step-by-step explanation:
Let
x represent the number of pairs of socks you buy
y represent the number of pairs of gloves you buy
Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php.
The equation is given as:
75php × x + 50php × y = 425php
= 75x + 50y = 425
Therefore,
the equation in standard form modeling this situation is:
75x + 50x = 425
Instead of subtracting 10, you can add negative 10
