Answer:
1. a = 2
2. x = 12
3. w = 2
Step-by-step explanation:
1. ok so 2a/5 we would want to separate it to 2/5 and a/5
2/5 x a/5 = 2a/5
next we want to subtract 2/5 from 8/10
8/10 - 2/5 or 8/10 - 4/10 = 4/10
now you have a/5 and 4/10
a/5 = 4/10
now you multiply each side by 5
a/5 x 5 = a
4/10 x 5 = 20/10 or 2
a = 2
2. ok so the x is kinda on it's own for this one but we still wan to get the x and the other numbers on opposite sides
1/16x + 1/4 - 1/4 = 1/16x
1/2 + 1/4 = 3/4
now we do that same last step
1/16x / 1/16 = x
3/4 / 1/16 = 12
x = 12
3. ill do one more and if you need more help just tell me
for this on we have the w on both sides so we have to get the variable(w) and the numbers on opposite sides
2w - 2 + 2 = 2w
1/2w + 7 - 1/2w = 7
2w + 1/2w = 5/2w or 2 1/2w
7 - 2 = 5
now we have to divide each side by 5/12 or 2 1/2
5/2w / 5/2 = w
5 / 5/2 = 2
w = 2
P(t) = 451400*0.968^t . . . . . models the population after t years.
_____
The multiplier from one year to the next is (1 -3.2%) = (1 -.032) = 0.968.
Answer:
Step-by-step explanation:
a) Frequency table:
Category Frequency
Dog 4
Cat 3
Fish 2
Hamster 1
b) Relative frequencies of each animal type
Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1
c) Popularity
Dog is the most popular because it has the highest relative frequency.
Hamster is the least popular because it has the lowest relative frequency.
(0, 36) would be the point on the y axis, so 36 is the y-intercept, or the b value in the equation, y = mx + b.
(12,0) is the x-intercept, so we know the line has a negative slope.
The equation for these points would be:
y = -3x + 36
LETTER B
1190 pairs of shoes are defective
<em><u>Solution:</u></em>
Given that shoe company found that 4.25% of the production is defective
The company made 28,000 pairs of shoes
To find: Number of pairs of defective shoes
From given information, 4.25% of the production is defective which means 4.25% of 28,000 pairs of shoes
Defective shoes = 4.25% of 28,000
Defective shoes 
Defective shoes 
Thus 1190 pairs of shoes were defective
