Let the number of boys be x
Let the number of girls be x + 4
(x + 4) + x = 28
x + x + 4 = 28
2x + 4 =28
2x = 28 - 4 → 2x = 24 → x = 24 / 2 → x = 12
The number of boys is 12, so the girls are 12 + 4 = 16
Ratio of girls to boys → 16 : 12 → 4 : 3
Ratio of girls to boys is 4:3
The value of 'm' for the given equation as per linear equation will be 8.
Linear equation is an equation where the variable has the highest degree of 1.
Given, twice a number m minus three equals the sum of m and five.
Therefore, the linear equation will be:
2m - 3 = m + 5
⇒ 2m - m = 5 + 3
⇒ m = 8.
The value of 'm' is 8.
Learn more about a linear equation here: brainly.com/question/8502333
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2m - 3 = m + 5
m = 8
2(8) - 3 = 13
(8) + 5 = 13
m = 8
Answer:
3/12 so 25% probabilty
Step-by-step explanation:
Since there are only 3 mystery books, so the probability of Ella picking one is 3/12. Simplified, this would be 1/4, as a decimal, 0.25, and as a percent, 25%.
maximum height. Round your answers to the nearest tenth.
Answer:
232.6 metres after 3.8 seconds.
Step-by-step explanation:
h(t) = -16t² + 122t
a = -16 b = 122 c = 0
Substitute into the quadratic formula
(Ignore the Â)
Split the equation at the ±
The two x-intercepts at 0 and 61/8. The midpoint of the x-intercepts is the axis of symmetry, which is the x-coordinate of the vertex.
Midpoint = [0 + (61/8)] / 2
Midpoint = 61/16 <= This is the time for maximum height
t = 61/16
t = 3.8125 => Round to t = 3.8
To find the maximum height, substitute t=61/16 into the equation
h(t) = -16t² + 122t
h(61/16) = -16(61/16)² + 122(61/16)
h(61/16) = 232.5625 => Round to h = 232.6
Therefore, the ball will reach the maximum height of 232.6 metres after 3.8 seconds.