The ratio of dogs to cats is 2 to 15 if there are 90 cats how many cats and dogs are there all together

102

Step-by-step explanation:

Of the ratio 2 : 15, the 15 parts are 90 cats

Divide number of cats by 15 to find one part of ratio

= 6 ← 1 part of the ratio

2 parts = 2 × 6 = 12 ← number of dogs

Hence total = 90 + 12 = 102

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

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