Answer:
8.9%
Step-by-step explanation:
Here, we are to calculate the probability of Howard choosing a chocolate candy followed by a gummy candy.
The probability of selecting a chocolate candy = number if chocolate candy/ total number of candy
Total number of candy = 5 + 4 + 6 = 15
Number of chocolate candy = 5
The probability of selecting a chocolate candy = 5/15 = 1/3
The probability of selecting a gummy candy = number of gummy candies/total number of candies
Number of gummy candy = 4
The probability of selecting a gummy candy = 4/15
The probability of selecting a chocolate candy before a gummy candy = 1/3 * 4/15 = 4/45 = 0.088888888889
Which is same as 8.89 percent which is 8.9% to the nearest tenth of a percent
A)4^(n+3)=8^14
2^(2×(n+3))=2^(3×14)
2^(2n+6)=2^42
2^2n=2^36
n=18
b) (assuming a : is divide)
3^(2n+1)=9^17/3^3
3^(2n+1)=3^(2×16)/3^3
3^(2n+1)=3^29
3^2n=3^28
2n=28
n=14
d) (6^n)^4×36=216^10
6^4n×6^2=6^(3×10)
6^(4n+2)=6^30
6^4n=6^28
4n=28
n=7
e)7^(n^2)÷7=49^24
7^(n^2-1)=7^(2×24)
7^(n^2)=7^49
n^2=49
n=7
g)15^(n+4)÷5^(n+4)=81^6
3^(n+4)×5^(n+4)÷5^(n+4)=3^(4×6)
3^(n+4)=3^24
n=20
h)81^n÷9^n+9^(n+2)÷9=90÷9^6
9^2n÷9^n+9^(n+2)÷9=9*10/9^6
9^n+9^(n+1)=10/9^5
I don't know where to go from here
I)what?
Answer:
$3.74 per gallon
Step-by-step explanation:
1. Divide $44.88 by 12
2. The answer will be 3.74
3. Each gallon will cost $3.74
Answer:
Age of Lucas = 23 years
Age of Lucas Mom = 54 Years
Step-by-step explanation:
In this question we have to find the age of Lucas and his Mom
Let the age of Lucas be x
According to given condition
Twice of his age 2 * x =2x
Eight years older means age + 8x
So
Age of his mom = Twice of his age + 8
= 2x + 8 .................(ii)
now according to second condition
Age of Lucas + Age of his mom = 77
Put the values in the condition above
x + (2x + 8) = 77
x + 2x + 8 =77
3x + 8 = 77
subtracting 8 from both sides
3x + 8 - 8 = 77 -8
3x = 69
Dividing both sides by 3
x = 69 / 3
x = 23 years
Age of Lucas = 23 years
Now from equation (i)
Age of Lucas Mom = 2(x) + 8
putting in the value we get
Age of Lucas Mom = 2 ( 23) + 8
=46 + 8
=54 Years
Age of Lucas Mom = 54 Years
There are many systems of equation that will satisfy the requirement for Part A.
an example is y≤(1/4)x-3 and y≥(-1/2)x-6
y≥(-1/2)x-6 goes through the point (0,-6) and (-2, -5), the shaded area is above the line. all the points fall in the shaded area, but
y≤(1/4)x-3 goes through the points (0,-3) and (4,-2), the shaded area is below the line, only A and E are in the shaded area.
only A and E satisfy both inequality, in the overlapping shaded area.
Part B. to verify, put the coordinates of A (-3,-4) and E(5,-4) in both inequalities to see if they will make the inequalities true.
for y≤(1/4)x-3: -4≤(1/4)(-3)-3
-4≤-3&3/4 This is valid.
For y≥(-1/2)x-6: -4≥(-1/2)(-3)-6
-4≥-4&1/3 this is valid as well. So Yes, A satisfies both inequalities.
Do the same for point E (5,-4)
Part C: the line y<-2x+4 is a dotted line going through (0,4) and (-2,0)
the shaded area is below the line
farms A, B, and D are in this shaded area.
