Answer:
As there is Bracket lats solve it first but as there is '-' sign before the bracket sign in the bracket will change. so we will have,
'800+900×25-65(89-5)-12÷67-7'
Solving the bracket gives us:
'800+900×25-65(84)-12÷67-7'
Now avoiding the Bracket:
'800+900×25-5460-12÷67-7'
Now first we have to do MUltiplication, so we will get,
'800+22500-5460-12÷67-7'
Now let's do the division, so we will get,
'800+22500-5460-0.17-7'
Now lets do the additions and subtractions we will get,
<h2><u>17,832.83</u></h2>
Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using 
, we find that a line perpendicular to the line shown should have a slope of
Answer:
10
Step-by-step explanation:
Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use 
in [1] we have;
Multiply both sides by 3 we have;
⇒
Divide both sides by 78.5 we have;
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
Answer:
176 of 12% vinegar
44 of 7% vinegar
Step-by-step explanation:
Percentage vinegar required = 11%
Volume = 220 mL
First brand % = 7%
Second brand % = 12%
Let p = volume of 12% vinegar material
Mixture :
0.12p + 0.07(220 - p) = 220 * 0.11
0.12p + 15.4 - 0.07p = 24.2
0.05p = 8.8
p = 8.8 / 0.05
p = 176
176 of 12% vinegar and
220 - 176 = 44
44 of 7% vinegar
