Hi there!
PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)
Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1
PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.
Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers
ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.
Hope this helps!! :)
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Answer:
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Corrected question;
In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes
Step-by-step explanation:
Given;
Total number of students = 65
Number of students with either blue or brown eyes;
= 10+30 = 40
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Step-by-step explanation:
T = time in seconds
H = distance
Tground = time to return to ground
Tmax = time at maximum height
H = -16T^2 + 672T...eqn 1
projectile returns to ground at H =0,
subs for H in eqn 1...
0 = -16T^2 + 672T
solving for T we get...
16T^2 = 672T
=> Tground = 42secs
Tmax = 0.5 Tground = 21secs
Answer:
The amount of money Skylar has now is $32
Step-by-step explanation:
Here in this question, we want to find the amount of money Skylar has presently.
Let the amount of money he has presently be $x
Now by doubling this amount, he will have enough money to buy the video game and still be left with a balance of $8
So let’s double the amount of money he has;
$x * 2 = $2x
let’s subtract the amount for the video game so he would be left with the $8
Mathematically;
2x -8 = 56
Collect like terms
2x = 56 + 8
2x = 64
Divide both sides by 2
2x/2 = 64/2
x = 32
