Answer:
800
Step-by-step explanation:
We can set up a proportion using the information we are given. We know that 240 students corresponds to 30% and that the total number of students, x, corresponds to 100%
Cross multiply and solve:
240 * 100 = 30x
24000 = 30x
800 = x
Answer:(7/8 - 4/5)^2 = 9
1600
= 0.005625
Step-by-step explanation:
Subtract: 7
8
- 4
5
= 7 · 5
8 · 5
- 4 · 8
5 · 8
= 35
40
- 32
40
= 35 - 32
40
= 3
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - seven eighths minus four fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = (3
40
) ^ 2 = 32
402
= 9
1600
In words - three fortieths squared = nine one-thousand six-hundredths.
I believe x is 43.
3x+17+x-9=180 It is 180 because a straight line is 180 degrees
4x+8=180
-8 -8 subtraction property of equality
---------------
4/4x=172/4 division property of equality
x=43 solution
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
Answer:the answer would be 1 4 6
Step-by-step explanation: