Answer:
9 3/4
Step-by-step explanation:
Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.
10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4
= 10 -1/4
= 9 3/4
__
Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.
10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)
= 10 3/4 -1
= 9 3/4
_____
We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.
<span><span>x=0,<span>√70</span>,<span>−<span>√70</span></span></span><span>x=0,70,<span>-70</span></span></span><span>x≈0,8.36660026,<span>−<span>8.3666002</span></span></span>
Answer:
x=8
y=16
Step-by-step explanation:
2x+2y=48
3x+y=40
Ther is many ways to solve this, one of them is clearance:
WE CLEAR AN UNLOCKED (X) AND REPLACE IT IN THE OTHER
x= (40-y)/3
2[(40-y)/3] +2y=48
(80-2y)/3 +2y=48
(80-2y+6y)/3=48
80+4y=48(3)
4y=144
y= 144/4
y=16
x=(40-y)/3
x=(40-16)/3
x=24/3
x=8
Answer:
Wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
let the wonka bars be X
and everlasting gobstoppers be Y
the objective is to
maximize 1.3x+3.2y=P
subject to constraints
natural sugar
4x+2y=60------1
sucrose
x+3y=75---------2
x>0, y>0
solving 1 and 2 simultaneously we have
4x+2y=60----1
x+3y=75------2
multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have
4x+2y=60
4x+12y=300
-0-10y=-240
10y=240
y=240/10
y=24
put y=24 in equation 2 we have'
x+3y=75
x+3(24)=75
x+72=75
x=75-72
x=3
put x=3 and y=24 in the objective function we have
maximize 1.3x+3.2y=P
1.3(3)+3.2(24)=P
3.9+76.8=P
80.7=P
P=$80.9
Answer:
SA: 664 in²
LA: it’s supposed to be 1040cm???
Step-by-step explanation:
SA: find the area of all sides of the prism first (I suppose it’s rectangular?)
80+80+112+112+140+140 = 664
LA: the lateral area formula is (perimeter of base)*height...
perimeter of base = (6+6+14+14) = 40
40 * 26 = 1040
I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)
