Car A Car B
d=rt d = rt
d = ra * 2.4 d = rb 4
ra = rb+22
distances are the same so set the equations equal
ra * 2.4 =rb *4
substitue in for ra
(rb+22) 2.4 =rb *4
distribute
2.4 rb +52.8 = 4 rb
subtract 2.4 rb from each side
52.8 = 1.6 rb
33 = rb
Car b travels at 33 miles per hour
Car a = 33+22
Car a = 55 miles per hour
Answer:
Step-by-step explanation:
The angle bisector divides the segments so those on one side of it are proportional to those on the other side of it.
(x+4)/8 = (2x+1)/12
12(x +4) = 8(2x +1) . . . . . multiply by 96
12x + 48 = 16x + 8 . . . . . eliminate parentheses
40 = 4x . . . . . . . . . . . . . . add -12x-8
10 = x . . . . . . . . . . . . . . . . divide by 4
The cost of 1 knife is £5.52
Step-by-step explanation:
The given is:
- A knife is three times the cost of a spoon
- 9 spoons and 12 knives cost £82.80
We need to find the cost of 1 knife
Assume that the cost of one spoon is x and the cost of one knife is y
∵ The cost of one spoon = x
∵ The cost of one knife = y
∵ The cost of a knife is three times the cost of a spoon
-That means y is 3 times x
∴ y = 3 x ⇒ (1)
∵ 9 spoons and 12 knives cost £82.80
∴ 9 x + 12 y = 82.80 ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (2) by equation (1)
∴ 9 x + 12(3 x) = 82.80
∴ 9 x + 36 x = 82.80
- Add the like terms in the left hand side
∴ 45 x = 82.80
- Divide both sides by 45
∴ x = 1.84
- Substitute the value of x in equation (10 to find y
∵ y = 3(1.84)
∴ y = 5.52
The cost of 1 knife is £5.52
Learn more:
You can learn more about the system of equations in brainly.com/question/3739260
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Answer:
31.52% increase (decrease)
Step-by-step explanation:
To find the decrease in the percentage of students from the previous year to the current year, you must establish a baseline to be your maximum (100%). For this we'll use the 92 students. From here, we need the current 63 students to establish the current percentage.
Simply:
63/92 == .6848 == 68.48%
So our current percentage of students is 68.48%. We want the decrease of the students compared to the previous percentage so we'll need to do the maximum minus the current to get the change (or the decrease).
100% - 68.48% = 31.52%
Thus, the population increase (decrease) for this year is 31.52%.
Hey!
Hope this helps...
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This really depends on what the question asks, because if you substitute 0 for x, the equation comes to 0 > 0 (which is a logical error), if you substitute 1 for x, the equation comes to 0 > -5 (which is the correct answer). If you substitute -28 for x, you get 0 > 28 (and we know 28 will always be greater than 0, but 0 will never be greater than any positive number), this is the same if you were to substitute -36 for x, you get 0 > 36
So the correct answer is D.) x > 1
because you get 0 > -5 (when you plug in 1 for x), and 0 will always be greater than any given negative number...
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One more thing, this question is asking you to MAKE IT TRUE, IF it said 0 ≥ -3x - 2x... THAN A, B, and C would be correct, OR IF it said 0 ≤ -3x - 2x... THAN B and D would be correct, BUT because it only says 0 > -3x - 2x... THAN ONLY D is correct...
With a simple change of signs, you can dramatically change the answer to this equation