I'm pretty sure the above fractions are equivalent because if you reduce 5s/15t then it equals s/3t.
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,
2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.
Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.
Answer:
Judy spent 55 min at the gym.
Step-by-step explanation:
From the three people that are listed in the problem Mary is the only one we know the actual time she was at the gym which is 3 h. Sandy on the other hand spent 50 minutes less sprinting than Mary, so we have:
Sandy = Mary - 50 minutes
Sandy = 3h - 50 minutes
Sandy = 3*60 - 50
Sandy = 180 - 50 = 130 minutes
Judy spent 1h and 15 min less than Sandy exercising so we have:
Judy = Sandy - 1h 15min
Judy = 130 min - (60 min + 15 min)
Judy = 130 min - 75 min = 55 min
Judy spent 55 min at the gym.
The answer is D) 19
each full cup is worth 3 servings so 6 X 3 = 18 + 1 = 19
Answer:
Step-by-step explanation:
Look at picture
