Thomas is opening a savings account. Which integer represents his possible balance after making a deposit?

Mathematics

2 answers:

Ray Of Light [21]2 years ago

8 0

10 is the answer …………..

meriva2 years ago

7 0

The intenger to the question is 10

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There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an av

ki77a [65]

Answer:

350 Douglas fir, 500 Ponderosa pine

Step-by-step explanation:

Let f = the number of fir trees

and p = the number of pine trees.

Then, we have two conditions:

(1) f + p = 850

(2) 300f + 225p = 217 500

(3) p = 850 -f Subtracted f from each side of (1)

(4) 300f + 225(850 - f) = 217 500 Substituted (3) into (3)

300f + 191 250 - 225f = 217 500 Distributed 225

75f + 191 250 = 217 500 Distributed the 7

75f = 26 250 Subtracted 191 250 each side

(5) f = 350

350 + p = 850 Substituted (5) into (1)

p = 500 Subtracted 350 from each side

The company bought 350 fir trees and 500 pine trees.

Check:

(1) 350 + 500 = 850 (2) 300 × 350 + 225 × 500 = 217 500

850 = 850 105 000 + 112 500 = 217 500

217 500 = 217 500

OK.

8 0

3 years ago

Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh

Sergeu [11.5K]

Answer: 15/91 which is choice B

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There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

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Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.