James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if

Answer How much of a 20% acid solution should be blended with 30 liters of a 50% acid solution in order to achieve a 40% solution.... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That totals 18 liters of pure acid, resulting in a final mixture of 45 liters which contains 0.45 pure acid=18 liters.

Step-by-step explanation:

Answer:

13%

Detailed breakdown:

Information provided:

• MP = 2080
• Discount = d%
• VAT = (d-2)%
• Cost = 1997.84

Applying the discount:

• 2080 - d% = 2080*(1 - 0.01d)

Including VAT:

• 2080*(1 - 0.01d) + (d - 2)%
• 2080*(1 - 0.01d) * (1 + (d -2)/100)
• 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
• (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
• 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
• - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
• 0.0001d²- 0.0002d - 0.0195 = 0
• d² - 2d + 195 = 0

Solving this quadratic equation yields:

• d = 15

Therefore

• VAT rate = 15 - 2 = 13%

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

Answer: The most significant angle created during his journey appears at the mall, between his house and the library.

Step-by-step explanation:

Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.

For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.

Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.

If you need further clarification or have questions, feel free to ask!