MATHEMATICS HIGH SCHOOL

A barge travels twice as fast when it is empty as when it is full. If it travels 20 miles northwith a cargo, spends 20 minutes unloading, and returns to its original port
empty, taking 8 hours to complete the entire trip, what is the speed of the barge when it
is empty?

Answers

Answer 1
Answer: V1=(empty)=2*v2(full)
20+20 (go+return)
t1+t2=8hour-20’(1/3 hour)=23/3hour
t1=23/3-t2
v1*t1+v2*t2=20+20
2v2*(23/3-t2)+v2*t2=40
2v2*23/3-2v2*t2+v2t2=40
2v2*23/3-v2t2=40
2v2*23/3-20=40
2v2*23/3=60
v2=60/46/3=180/46=90/23
v1=2*90/23=180/23
Answer 2
Answer:

Answer:wada

Step-by-step explanation:

awdasd asd wasd waswd

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The probability that Janice will attend math class today is 62%. The probability that Ellie will attend math class if Janice attends is 100%. Ellie will not attend the class unless she hears from Janice first. What is the probability that both will attend the class?A. 73%
B. 100%
C. 81%
D. 62%

Answers

i believe it is a because if janice attends then ellie will so there is a 73% chance because if ellie doesnt here from janice she will not go.
A belive? I'm 89% sure

Explain how to do the factor tree for 75

Answers

separate 75 into two numbers. Lets use 15 and 5. 15 can be reduced into 3 and 5, while 5 cannot be reduced. The remaining numbers you have will be 5, 5, and 3. 
 
                   75
                   /  \
                 15   5
                 / \
                3  5
Like this- . 75 . /. \. . 25. 3 . /. \. . 5. 5. So the factors are- 3x5x5. Hope I helped!

Solve for r

v = 4/3 r^3
​

Answers

Answer:

r=\sqrt[3]{(3v)/(4) }

Step-by-step explanation:

To solve for r:

v=(4)/(3)r^(3) (given)

(3v)/(4)=r^(3) (times (3)/(4) on both sides)

r=\sqrt[3]{(3v)/(4) }

I hope this helps :)

Thirty- six shirts were on sale for 2/3 of the regular price of the sale price of each shirt was 30 what was the regular price?

Answers

First change 2/3 into a decimal: .67. Then divide 30 by .67: 44.77. Round it: 44.77 = 45. Each shirt was $45 :)

Which of the following is a polynomial with roots 4, −5, and 7?Question 4 options:

1) f(x) = x3 − 6x2 − 27x + 140
2) f(x) = x3 − 6x2 − 20x + 27
3) f(x) = x3 − 20x2 − 27x + 35
4) f(x) = x3 − 20x2 − 35x + 140

Answers

If x = 4, then the factor is (x - 4); if x = -5, then the factor is (x + 5); if x = 7, then the factor is (x - 7).  We need to FOIL all these together to get a third degree polynomial.  (x - 4)(x + 5) = (x^2 + x - 20).  Now multiply that by (x- 7):  (x^2+x-20)(x-7) = x^3+x^2-20x-7x^2-7x+140.  Combine like terms to get  x^3-6x^2-27x+140,  the first choice above.

Answer: 1) f(x) = x3 − 6x2 − 27x + 140

Which of the following is a polynomial with roots 4, −5, and 7?

Question 4 options:

1) f(x) = x3 − 6x2 − 27x + 140

2) f(x) = x3 − 6x2 − 20x + 27

3) f(x) = x3 − 20x2 − 27x + 35

4) f(x) = x3 − 20x2 − 35x + 140

Step-by-step explanation:

I just did the assignment and the correct answer was 1). f(x) = x3 − 6x2 − 27x + 140. Hope this helps.

Good Luck!!

Factor the expression completely 6x^2 + 21x - 12​

Answers

Answer:3(2−1)(+4)

Step-by-step explanation:

62+2

1−1

6x^{2}+21x-12

6x2+21x−12

3(22+7x−4)

3(2x^{2}+7x-4)

3(2x2+7x−4)

3(22+7−4)

3(2x2+7x−4)

3(22+8−−4)

3(2x2+8x−x−4)

3(22+8−−4)

3(2x^{2}+8x-x-4)

3(2x2+8x−x−4)

3(2(+4)−1(+4))

3(2x(x+4)-1(x+4))

3(2x(x+4)−1(x+4))

3(2(+4)−1(+4))

3(2x(x+4)-1(x+4))

3(2x(x+4)−1(x+4))

3(2−1)(+4)
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