Answer:
a. 60
b.24
Step-by-step explanation:
a. We use permutation, it would be 3 taken out of 5, or 5*4*3
b.if A or E must be used, then we have 4*3*2
A. y ≤ −2x + 3
y ≤ x + 3
B. y ≥ −2x + 3
y ≥ x + 3
C. y ≤ −3x + 2
y ≤ −x + 2
D. y > −2x + 3
y > x + 3
The cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.
Let x be the cost of one hot dog and y be the value of one hamburger. we will set up a system of linear equations to solve for x and y:
From the first statement, we recognize that:
7x + 2y = 16.25 ----(1)
From the second statement, we know that:
2x + 7y = 17.50 ----(2)
We will use both substitution or elimination method to solve this system of equations. let's use elimination method right here. we are able to multiply equation (1) through 7 and equation (2) by 2 to eliminate y:
49x + 14y = 113.75 ----(3)
4x + 14y = 35 ----(4)
Subtracting equation (4) from equation (3), we get:
45x = 78.75
Dividing each sides by using 45, we get:
x = 1.75
Substituting x = 1.75 into equation (1), we can solve for y:
7(1.75) + 2y = 16.25
12.25 + 2y = 16.25
2y = 4
y = 2
Consequently, the cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.
Learn more about system of linear equations:-
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The Solution.
The given formula, that is,
The formula above is used to find the sum of the interior angles in a regular
polygon.
Hence, the correct answer is option B.
Given:
Principal, P = $5000
Interest rate, R = 8% = 0.08
Time, T = 2 years
Let's fnd the toatal amount of interest.
To find the interest, apply the simle interest formula:
Hence, we have:
Therefore, the total amount of interest is $800.
ANSWER:
$800
12 students
40% earned a B; 20% earned an A, so (40%+20% =) 60% got a "B or better."
60% of 20 students is ...
... 60/100 × 20 students = 1200/100 students = 12 students