Here are all of the answers:
1. yes, it is evenly divisible by 17 equally: 4,165 / 17 = 245
2. 194,610 / 26 = 7,485
3. 750 bananas divided equally by 50 students is 15 bananas per student:
750 / 50 = 15
4. 2400 / 15 = 160
5. 94,104 is not divisible by 12 evenly: 94,104 / 12 = 6,273.6
6. 44,237 / 31 = 1,427
7. 35 roses divided equally among 5 rows equals 7 roses per row: 35 / 5 = 7
8. 16,606 / 19 = 874
9. 83,525 is evenly divisible by 13: 83,525 / 13 = 6,425
10. $3,600 worth of toys divided by $18 per toy equals 200 toys: $3,600 / $18 = 200
Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Not sure about the first one but the second one is option c (or -3). You just have to factor and find the solutions (so it would be -7 and 4 and then u just add them)
For question 39 the answer is c
Answer:
75 feet
Step-by-step explanation:
If the circumference of the wheels is 5 feet, every full rotation the bike will travel 5 feet. Therefore, after 15 full rotations the bike will travel 15 * 5 = 75 feet.
