If a salesman sold 6358 books. each book cost $8.00. how much money did he make ?

Answers

Answer 1
Answer: 8 x 6358 = $50864
hope this helps!
Answer 2
Answer: $50864= 6358 x $8
This is the cost of how much money he made.

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Millie works 8 hours each Saturday and earns £50. On a Saturday she spends £2.75 on bus fares and £4.25 on lunch. What percentage of her earnings does she spend on bus fares and lunch?

Answers

The answer is 0.14 or fourteen percent (14%). I arrived to this answer through simply finding the sum of her spending on bus fares and lunch (2.75 + 4.25) and came up with 7. Then, I divided it by her total earnings which is 50 - which led me to have the answer of .14 or 14%. 

Find 1+2+3+4+ ... +40, the sum of the first 40 natural numbers.
The sum is

Answers

Answer : 840

1 + 41 = 42

2 + 40 = 42

___________

20 pairs

20 × 42 = 840

Answer:

              \bold{S_(40)=820}

Step-by-step explanation:

1+2+3+4+ ... +40=S_(40)\n\na_1=1\na_(40)=40\nn=40\n\nS_n=\frac{a_1+a_n}2\cdot n\n\nS_(40)=\frac{1+40}2\cdot40=41\cdot20=820

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2. Determine, to the nearest tenth of a second, when the ball hits the ground.

Answers

When the ball hits the ground, the height is 0.

0 = 100 - 16t²

0 = (10 - 4t)(10 + 4t)

0 = 10 - 4t     or     0 = 10 + 4t

4t = 10          or       -4t = 10

 t = (10)/(4)             or          t = -(10)/(4)

Time cannot be negative (unless you have a time machine) so disregard  -(10)/(4)

Answer: t = (5)/(2) = 2.5 seconds

At the zoo,there were 3 times as many monkeys than lions.Tom counted a total of 24 monkeys and lions.How many monkeys were there?

Answers

so monkeys/3=lions or monkeys=3(lions)
monkeys+lions=24
subsitute monkeys=3(lions) for monkeys in the second equation
3(lions)+lions=24
add like terms
4lions=24
divide both sides by 4
lions=6
subsitute lions=6 into second equation
monkeys+6=24
subtract 6 from both sides
monkeys=18
3x-\ monkeys\nx-\ lions\n\n3x+x=24\n4x=24\ \ \ \ divide\ by\ 4\nx=6\n\n3x=18\n\nThere\ are\ 18\ monkeys\ and\ 6\ lions.

If there's 4 quarts in 1 gallon, how many gallons are in 200 quarts

Answers

Answer:

the answer is 50 gallons

Step-by-step explanation:

200/4 = 50

Multiply. start fraction k plus 3 over 4 k minus 2 end fraction dot left parenthesis 12 k squared plus 2 k minus 4 right parenthesis

Answers

Answer:

\therefore ((k+3))/((4k-2)).(12k^2+2k-4)=3k^2+11k+6

Step-by-step explanation:

Factorization of a Quadratic polynomial:

  • In order to factorize ax^2+bx+c we have to find out the numbers p and q such that, p+q = b and pq=ac.
  • Finding the two integers p and q, we rewrite the middle term of the quadratic as px+qx. Then by grouping of the terms we can get desired factors.

Multiplication of two binomial:

(a+b)(c+d)

=a(c+d)+b(c+d)

=(ac+ad)+(bc+bd)

=ac+ad+bc+bd

Given that,

((k+3))/((4k-2)).(12k^2+2k-4)

=((k+3))/(2(2k-1)).2(6k^2+k-2)       [ taking common 2]

=((k+3))/((2k-1)).(6k^2+k-2)          [ cancel 2]

=((k+3))/((2k-1)).(6k^2+4k-3k-2)

=((k+3))/((2k-1)).\{2k(3k+2)-1(3k+2)\}

=((k+3))/((2k-1)).(3k+2)(2k-1)

=(k+3).(3k+2)

=3k^2+9k+2k+6

=3k^2+11k+6

\therefore ((k+3))/((4k-2)).(12k^2+2k-4)=3k^2+11k+6