48. Combining Forces Juana and Diego Gonzales, ages six and four respectively, own a strong and stubborn puppy named
Corporal. It is so hard to take Corporal for a walk that they
devise a scheme to use two leashes. If Juana and Diego pull with
forces of 23 lb and 27 lb at the angles shown in the figure, how
hard is Corporal pulling if the puppy holds the children at a
standstill?

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

the answer is 489

step-by-step explanation:

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.