One of madison's hobbies is to locate hidden geocaches. to find yesterday's cache, madison was instructed to start at a water fountain at a local park. then, the directions had her walk 30 yards due west and 16 yards due south. if this was the location of the cache, how far was it from the water fountain where she started? a. 34 yards b. 23 yards c. 46 yards d. 14 yards

C.34 yards

Step-by-step explanation:

Given: Madison was instructed to start at a water fountain at a local park.

The directions had her walk 30 yards due west and 16 yards due south.

Thus, the distance of  the location of the cache from the water fountain will be the hypotenuse of the right triangle formed.

Thus, by Pythagoras theorem

Hence, the  distance of  the location of the cache from the water fountain = 34 yards.

15 true/false questions and 5 multiple choice questions

Steps:

Use a system of equations

Solve using the elimination method

x+y=20
3x+11y=100

Multiply the first equation by 3 to make the coefficients of x in both equations the same.

3(x+y=20)

3x+3y=60

Next subtract this equation from the second one.

3x+3y=60
- 3x+11y=100
————————
-8y=-40

Divide both sides by -8 to find the bailie of y.

y=5 So there were 5 multiple choice questions on the test.

Next, replace the y in either equation to solve for x.

x+(5)=20

Subtract 5 from both sides to find the value of x

x=15