Answer:(B) ASA
Step-by-step explanation:
The equation is y=16(1.35)ˣ.
This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time. For our problem, a is 16; b is 0.35 (35%=35/100=0.35). This gives us the equation above.
Answer:
2950
Step-by-step explanation:
Answer:
c. 42 miles per day
Step-by-step explanation:
From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:
3 days → 126 miles
1 day → x
x=(1*126)/3=42 miles
According to this, the answer is that Kendra swims 42 miles per day.
Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
