Answer:
Step-by-step explanation:
1. 48 x 5= 240
2. James minutes- 48 Alisa's- 240
3. 48 + 240 = 288
Equation: 48 + 5 (48)= 288
Answer:
Parallel equation is y=-2/3x+5
Perpendicular equation is y= 3/2x + 4
Step-by-step explanation:
Picture a right triangle whose hypotenuse is of unknown length. Let's call that length L. The triangle side opposite the 70 degree angle is then 20 feet. I'd suggest you actually draw this triangle.
Then, using the definition of the sine function,
sin 70 deg = opp / hyp = (20 ft) / L. Transforming this equation, L sin 70 deg = 20 ft. Solving for L:
L = (20 ft) / (sin 70 deg) = 21.28 ft
The ladder length must be 21.28 ft.
Answer:
31 quarters, 17 nickels, and 85 dimes
Step-by-step explanation:
31 quarters=7.75
31-14=17 nickels=.85
17x5=85 dimes-8.5
7.75+.85+8.5=17.10
Answer:
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Step-by-step explanation:
The together rate is the sum of the separate rates.
In this question:
Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.
Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.
Together rate:





It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.