508 - 58 = 450 miles. He's driving 45 miles per hour over 450 miles, which means it took him 450/45 = 10 hours to drive the rest of the way
7x + 5 = 11x - 27
32 = 4x
x = 8
7x + 5
= 7(8) + 5
= 56 + 5
= 61, which means your answer is B
You basically just have to find the lcm of 45 and 75, which is 225.
This means after the two trains leave the station, they will both be back at the same time after 225 minutes.
\(860 \cdot \frac{100 + 7}{100} = 920.2\) (but you have to round it since you can't have fractional cents) Now add the 10% tip: \(920 \cdot \frac{100 + 10}{10} = 1012\)
Which means she spent $10.12 altogether :)
Everyone makes mistakes hun, grow up :)
Line YW = \(\sqrt{26^2 - 24^2} = 10\)
This means XY and VY are also 10 units.
SX = \(\sqrt{29^2 - 10^2} = \sqrt{741} \)
This means VS is also \(\sqrt{741}\)
VP = 24
perimeter = 2(length + width)
length = 2x - 5
104 = 2(2x - 5 + x)
52 = 3x - 5
57 = 3x
x = 19
Which means the width of the pool is 19m :)
x - y = 4
2x + 3y = 28
Use system of equations: 2x - 2y = 8
-----------------
-5y = -20
y = 4
x - (4) = 4
The two numbers are 4 and 8 :)
Total angles in a triangle is 180
To find angle ACB, you take 135 away from 180 (180 - 135) = 45
25 + 45 + x = 180
70 + x = 180
x = 110
Angle ABC = 110
\(\frac{75}{45} = \frac{100}{60}\). This means you can paint 100 square feet every 60 minutes. 8ft x 5ft = 40 square feet
\(\frac{40}{x} = \frac{100}{60}\)
\(2400 = 100x \)
\(x = 24\)
This means it will take you 24 minutes to paint an 8ft by 5ft wall :)
