Answer:
Between 9:00 am and 10:45 am, there have been 1 hour and 45 minutes or 1.75 hours have passed. Let x be the speed of the slower cyclist and x+ 5 be the rate of the second cyclist. The given situation is best represented through the equation below,
x(1.75) + (x + 5)(1.75) = 47.25 km
The value of x from the equation is 11. Thus, the two bicyclists' rates are 11 km/h and 16 km/h.
Area of cylinder= 2πrh+2πr²
=2(3.14)x16x56+2(3.14) (16)²
= 7238.23
It's best to write the two equations as a vertical column:
8x+14y=4
-6x-7y = -10
Note that if we multiply the 2nd equation by 2, we get -12x - 14y = -20. The reason for wanting this version of the 2nd equation is that its -14y cancels the +14y in the first equation:
-12x - 14y = -20
8x+14y=4
Combine these equations, column by column. We get -4x = -16, which results in x = 4. Now find y by subbing 4 for x in either given equation. If we use the first equation, we get 8(4) + 14y = 4, or 32 + 14y = 4, or 14y = -28. Then y = -2.
The solution to this system of linear equations is thus (4,-2).
Check this result by substitution of these coordinates into -6(4) - 7y = -20:
-24 - 7(-2) = -10. Is this true or not?
-24 + 14 = -10 is true. Thus, (4,-2) is the desired solution.
Answer:
$45
Step-by-step explanation:
300/100 = $3 = 1%
$3 x 5 = $15 = 5%
$15 x 3 years = $45
Answer:
300
Step-by-step explanation:
To find how many carrots, determine how many square units by finding the area. You can calculate the area by finding the area of the inside square 4 by 4 and then adding the area of each triangle on the side.
Area of square = 4*4 = 16 square units
Area of 2 triangles = 2(2*2*1/2)= 2(2) = 4 square units
16+4 = 20 square units.
15 carrots come from 1 square units so 15(20) = 300 carrots
