A company sells T-shirts for $11 each and sweatshirts for $19 each. The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold. The T-shirts and sweatshirts sold for a total of $1,970. How many T-shirts were sold? T-shirts

Number of T-SHIRT sold = x = 110

Number of sweatshirt = y = 40

Step-by-step explanation:

Let

Number of T-SHIRT sold = x

Number of sweatshirt = y

The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold.

x = 3y - 10

Cost of each T-SHIRT = $11

Cost of sweatshirt = $19

Total cost = $1,970

Total = x + y

1,970 = 11(3y - 10) + 19y

1970 = 33y - 110 + 19y

1970 + 110 = 33y + 19y

2080 = 52y

y = 2,080/52

y = 40

Substitute y = 40 into

x = 3y - 10

x = 3(40) - 10

x = 120 - 10

x = 110

Number of T-SHIRT sold = x = 110

Number of sweatshirt = y = 40

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.

207/8 is the right