Answer:
a.
b.
Step-by-step explanation:
Dimensions of rectangular piece of cardboard=
According to question
Length of box,l=10-2x
Breadth of box,b=6-2x
Height of box,h=x
a.
Volume of box=
Substitute the values in the formula
Volume of box=
b.Surface area of box=
Because the box has no lid
Substitute the values in the formula
Surface area of box=
Surface area of box=
Surface area of box=
Surface area of box=
Surface area of box, S(x)=
Procedure:
1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)
Solution
1) the number of teams of four members that can be formed are:
10*9*8*7 / (4*3*2*1) = 210
2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls
Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6
Number of different teams with 2 boys and 2 girls = 15 * 6 = 90
3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:
90/210 = 3/7
Answer:
44
Step-by-step explanation:
h(-7) means use the expression labeled h and evaluate it for x=-7.
Like this:
(-7)^2 - 5
49 - 5
44
Answer:
Step-by-step explanation:
6x∧2-7x-3=0
the coefficient of x² multiplied by -3 = -18
we need to look for 2 numbers that when we add it to together it will equate to -7x
+2 and -9 is the answer
6x∧2+2x-9x-3=0
2x(3x+1)-3(3x+1)=0
(2x-3)(3x+1)=0
equate each brackets to 0
2x-3=0 3x+1=0
2x=3 3x=-1
x=3/2 x=-1/3
The answers are: 4.5 g and 56.25 g respectively.
Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g
For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g
