Answer:
105 text messages
Step-by-step explanation:
7.70 divied by 154 = 0.05
0.05 per text massage
5.25 divided by 0.05 = 105
to check work:
105 times 0.05 = 5.25
Answer: Rate of change of Area of the triangle = 2.75cm~/min
Step-by-step explanation:
If the present height of the triangle is 22cm and the height increases by 5cm/min. It means the height was 2cm four minutes earlier: 5cm for 1st min + 5cm for 2nd min + 5cm for 3rd min + 5cm for 4th min = 20cm after 4min.
Therefore height equals 22 - 20 = 2cm four minutes earlier.
Using the same four minutes for the base. Since the base shrinks at 1cm/min, for the base to shrink to 10cm it means it was 14cm four minutes earlier.
The Area of a triangle is given by
A = 1/2 × base × height
Therefore Area= 1/2× 10×22 = 110cm~
Since it took four minutes to get to this area, the rate of change of the area will be 110÷4 = 2.75cm~/min
Answer:
This circumference of the pond is 2πr (or 2π48), which equals 301.44m(assumine pi is 3.14). How long it takes to walk around depends on the rate of speed.
The first way is distributive property of multiplication. 3/5*9=3/9÷5/1=27/5. 3/5*1/2=3*1/5*2=3/10. Then you add the products and you would get 57/10. Simplify 57/10 to 5 7/10. Second way, converting the mixed fraction to a improper fraction and then multiply. 9 1/2=9*2+1÷2=19/2. 3/5*19/2=3*19/5*2=57/10. Like I said before, 57/10 simplified is 5 7/10. The last way is use rounding of fractions to estimate the products, 3/5*9 1/2. Round 9 1/2 to 10. 3/5*10=3*10/5. 30/5=6, which means that 6 is the estimated product of rounding. Hoped I helped. :)
