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Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Ea
worth either 5 points or 2 points. Write a system of equations that can be used to find how many pro
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points

 See Below

Step-by-step explanation:

Let x represent the 5-point questions

Let y represent the 2-point questions.

Points Equation: 5x + 2y = 100

Total Questions:   x  +  y =  29

To solve, use Elimination Method

x + y = 29

x = 15 = 29

x         = 14

There are 14 five-point questions and 15 two-point questions on the test.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west