Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
Answer:
w^2*(w+4)*(w^2+10)
Step-by-step explanation:
w^5+4w^4+10w^3+40w^2
w^2*(w^3+4w^2+10w+40)\w^2*(w^2*(w+4)+10(w+4))
w^2*(w+4)*(w^2+10)
Answer:
The total amount paid by Gabriel at the local gas station is $70.49.
Step-by-step explanation:
Cost of gasoline per gallon = $2.75
Cost of diesel per gallon = $3.02
Amount of gasoline Gabriel needs = 15.2 gallons
Amount of diesel Gabriel needs = 9.5 gallons
Compute the total amount paid by Gabriel at the local gas station as follows:
Total Cost = Cost of gasoline × Amount of gasoline
+ Cost of diesel × Amount of diesel
Thus, the total amount paid by Gabriel at the local gas station is $70.49.
Answer: 88 m
Step-by-step explanation:
A basketball court takes the shape of a rectangle and the perimeter of a rectangle is calculated by the formula:
= Length + Length + Width + Width
Slotting the figures in will give:
= 27 + 27 + 17 + 17
= 88 m
Might have to experiment a bit to choose the right answer.
In A, the first term is 456 and the common difference is 10. Each time we have a new term, the next one is the same except that 10 is added.
Suppose n were 1000. Then we'd have 456 + (1000)(10) = 10456
In B, the first term is 5 and the common ratio is 3. From 5 we get 15 by mult. 5 by 3. Similarly, from 135 we get 405 by mult. 135 by 3. This is a geom. series with first term 5 and common ratio 3. a_n = a_0*(3)^(n-1).
So if n were to reach 1000, the 1000th term would be 5*3^999, which is a very large number, certainly more than the 10456 you'd reach in A, above.
Can you now examine C and D in the same manner, and then choose the greatest final value? Safe to continue using n = 1000.
