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Sever21 [200]
3 years ago
5

Ed is on a road trip. He has already traveled 208 miles and is driving at a rate of 70 miles per hour. Which equation could be u

sed to find how many hours, x, Ed has left in his road trip if he is traveling 695 total miles?
A.
70x + 208 = 695

B.
208x + 70 = 695

C.
208x + 695 = 70

D.
70x + 695 = 208
Mathematics
2 answers:
mixer [17]3 years ago
8 0

Answer: If the total distance is 695 miles, and Ed already traveled 208 miles. We also know that Ed is traveling at 70 miles per hour, so in one hour, he travels 70 miles, in two hours he travels  2*70 = 140 miles.

then he need to travel 695 - 208 miles to reach his destination:

if his velocity is 70 mi/h, then you can find x (the number of hours Ed has left in his road trip) by:

70mi/h*x = 695 - 208 or

70x + 208 = 695

So the correct solution is A.

And solving it we get :

70*x = 487

x = 487/70 = 6.95 hours

so Ed has 6,95 hours left in his road trip.

Dmitriy789 [7]3 years ago
6 0

The answer would be B. 208x+70=695

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Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.54.5 kil
yaroslaw [1]

Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.

Step-by-step explanation:

Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.

And,  the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.

Which is shown by the below inequality,

0.3S+0.65L \geq 4.5 ----------(1)

And,  0.25S+0.8L >6.3 --------(2)

By putting S = 10 and L = 4 in the  inequality (1),

0.3\times 10+0.65\times 4 \geq 4.5

⇒ 5.6\geq 4.5(true)

Thus, for the values  S = 10 and L = 4 the inequality (1) is followed.

Again By putting S = 10 and L = 4 in the  inequality (2),

0.25\times 10+0.8\times 4 >6.3

⇒ 5.7>6.3( false)

But, for the values  S = 10 and L = 4 the inequality (2) is not  followed.

Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.



4 0
3 years ago
Read 2 more answers
the solutions to the inequality y > −3x 2 are shaded on the graph. which point is a solution? a). (0, 2) b). (2, 0) c). (1, −
PolarNik [594]

we have

y> -3x+2

The solution is the shaded area above the dotted line

we know that

If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality

We will verify all cases to determine the solution of the problem

<u>Case A)</u> Point (0,2)

x=0\\y=2

Substitute the value of x and y in the inequality and verify

2> -3*0+2

2>2 -------> is not true

therefore

the point (0,2) is not a solution of the inequality

<u>Case B)</u> Point (2,0)

x=2\\y=0

Substitute the value of x and y in the inequality and verify

0> -3*2+2

0>-4 -------> is true

therefore

the point (2,0) is a solution of the inequality

<u>Case C)</u> Point (1,-2)

x=1\\y=-2

Substitute the value of x and y in the inequality and verify

-2> -3*1+2

-2>-1 -------> is not true

therefore

the point  (1,-2) is not a solution of the inequality

<u>Case D)</u> Point (-2,1)

x=-2\\y=1

Substitute the value of x and y in the inequality and verify

1> -3*(-2)+2

1>8 -------> is not true

therefore

the point (-2,1) is not a solution of the inequality

therefore

<u>the answer is the Point B</u>

(2,0)

To better understand the problem see the attached figure


7 0
3 years ago
Read 2 more answers
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the sit
Rasek [7]

Answer:

If Ted can clear a football field of debris in 3 hours, in one hour they will have cleared 1/3 of it.

If Jacob can clear a football field of debris in 2 hours, in one hour they will have cleared 1/2 of it.

So if they work together, they will clear 1/2 + 1/3, which is 5/6, in one hour.

So the equation we get is 5/6*x = 1 and if we divide both sides by 5/6 we get that x = 1.2 hours

6 0
2 years ago
Read 2 more answers
Sally lives in City A and works for the department of transportation. She needs to inspect the weigh stations in each of four di
galben [10]

Answer:

She can visit the cities in 192 ways

Step-by-step explanation:

If Sally starts from city A and after going to 4 cities she returns to home,

then that can be in 4! = 24 ways. (permutation of 4 distinct objects)

If between the time she visits cities, she comes home once,

then cities can be visited in,

4! \times 3_{C_{1}} = 72 ways.  (permutation of 4      distinct objects  and choosing 1 gap among the 3 )

If between the time she visits cities, she comes home twice,

then cities can be visited in,

4! \times 3_{C_{2}} =72 ways. (permutation of 4 distinct objects and finding 2 gaps among the 3)

If between the time she visits cities, she comes home thrice,

then cities can be visited in,

4! \times 3_{C_{3}} = 24 ways. (permutation of 4 distinct objects and choosing 3 gaps among the 3)

Now, she can't come home more than thrice in between the time she visits cities (since there are 4 cities to visit only)

So, the number of ways she can visit cities = (24+ 72 + 72 + 24)

                                                                       = 192

6 0
3 years ago
What's 412 divided by 84... Can someone show the work please??
ladessa [460]
412 divide by 84               how many times can 84 go into 412
                                  84 can go into 412, 4 times and four time 84 equals
                          331, then continue dividing 84 into the number                                                  you  obtain by sutracting the number before and the                                       multiple of 84 and x
your answer will be 4.904 

      

    
3 0
3 years ago
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