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uranmaximum [27]
4 years ago
5

Brett can plow out all the driveways on his street with his new​ four-wheel-drive truck in 6 hours. Using a snow blade on a lawn

​ tractor, his neighbor can plow out the same number of driveways in 12 hours. How long would it take them to do the work​ together?
Mathematics
1 answer:
vlada-n [284]4 years ago
6 0

Answer:

  4 hours

Step-by-step explanation:

The truck works twice as fast as a lawn tractor, so is equivalent to 2 of them. Together, they are equivalent to 3 lawn tractors, so can do the job in 1/3 the time of one of them: 4 hours.

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A car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weath
ycow [4]
You can create two equations.

"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>
\sf x-20=y

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

\sf 2x=3y

</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

\sf \boxed{\sf x-20}=y
\sf 2x=3y\rightarrow2x=3(x-20)

Distribute:

\sf 2x=3x-60

Subtract 3x to both sides:

\sf -x=-60

Divide -1 to both sides:

\sf x=60

So the car goes 60 mph in sunny weather.
5 0
3 years ago
On a school bus, 22 of the 40 students are in window seats. What fraction
Gnoma [55]

Answer:

11/20

Step-by-step explanation:

simplify 22/40

8 0
4 years ago
At a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine t
lianna [129]

Answer:

Step-by-step explanation:

t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).

3 0
3 years ago
In a certain sequence of numbers, each term after the first is found by doubling and then adding $3$ to the previous term. If th
eimsori [14]
Given a_7=125 you can find a_6:

a_6= \frac{125-3}{2} =61
 a_5= \frac{61-3}{2} =29 \\ a_4= \frac{29-3}{2}=13 \\ a_3= \frac{13-3}{2} =5 \\ a_2= \frac{5-3}{2} =1 \\ a_1= \frac{1-3}{2}=-1
Answer: -1
6 0
3 years ago
Which equals the ratio of sin A to the nearest hundredth?
4vir4ik [10]

Answer:

we cant answer if we dont know what sin A is

3 0
3 years ago
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