Time taken by Daniel to catch up with Frank is 4 minutes.
Step-by-step explanation:
The question is on relative speed; speed of a moving object with respect to another.
The two cars are travelling in the same direction at different speeds thus;
Relative speed = speed of Daniel - speed of Frank = 50-45= 5 mph
The time which the two meet = distance/ relative speed
Distance = 1/3 miles, which equals 0.33 miles
Time taken by Daniel to catch up with Frank is = 0.33/5 =0.066 hours = 4 minutes.
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Relative speed: brainly.com/question/10681729
Keywords: car, travelling, miles,started at the same point,catch up with
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<h2>
x = 2 and y = - 3</h2>
Step-by-step explanation:
The given system of linear equations:
x - 2y = 8 ........ (1)
and 4x + y = 5 ........ (2)
To find, the values of x and y = ?
Multiplying equation (2) by 2, we get
2(4x + y) = 5 × 2
⇒ 8x + 2y = 10 ........ (3)
Adding equations (1) and (3), we get
x - 2y + (8x + 2y) = 8 + 10
⇒ x - 2y + 8x + 2y = 8 + 10
⇒ 9x = 18
⇒ x = 2
Put x = 2 in (1), we get
2 - 2y = 8
⇒ 2y =2 - 8
⇒ 2y = - 6
⇒ y = - 3
∴ x = 2 and y = - 3
Answer:
c 35.21
Step-by-step explanation:
rate of change is=to slope
in y=mx+b
m is slope(rate of change)
x the variable such as miles
b is y intercept
The answer is 52%. 65/125=0.52 * 100 = 52%
Answer:
4 bags of okra
Step-by-step explanation:
To find the unit rate: multiply the numerator by the reciprocal of the denominator.
unit rate =
1/2 divided by 1/4
= 1/2× 4/1
=4/2
= 2 bags per gallon
Therefore, double the recipe: 2 × 2 = 4 bags of okra
