Answer:
<em>Alex sold 330 white chocolate bars</em>
Step-by-step explanation:
let the milk chocolate candy be x and the white chocolate candy be y. then
then 2x+3y=990----1)
x+y=330-----2)
from eq 2) ⇒ x=330-y---------3)
Putting eq 3 in eq 1
2(330-y) +3y=990
660-2y+3y=990
y=990-660=330-----------4)
Putting eq4 in eq1
2x+3(330)=990
2x+990=990
2x=990-990
2x=0
x=0---------------------------5)
Answer:
numbers expressed using exponents are called powers
Answer:
Original garden: 42 feet
Enlarged garden: 98 feet
Step-by-step explanation:
Perimeter = length (2) + width (2)
<u>Original perimeter:</u>
P = 15(2) + 6(2)
P = 30 + 12
P = 42 feet
In this problem, similar is proportional, so the new garden will be proportional to the old one.
If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).
<u>Enlarged perimeter</u>
P = 35(2) + 14(2)
P = 70 + 28
P = 98 feet
Answer:
97,656,250
Step-by-step explanation:
The first term, a(1), is 10. The next is 5 times greater. And so on. Thus, the common ratio is 5, and the general formula for this sequence is
a(n) = a(1)*5^(n -1).
Therefore,
a(11) = 10*5^(11 - 1) = 10*5^10 = 97,656,250
