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Rudik [331]
2 years ago
9

Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hou

rs. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Mathematics
2 answers:
antiseptic1488 [7]2 years ago
8 0

Answer:

y = 5x + 3

y = 5.5x + 2

0.5x = 1

x = 2

y = 13

anyways what I think this means for the variables is x is equal to x in the second equation and y is equal to y in the second equation

Step-by-step explanation:

S_A_V [24]2 years ago
3 0
Y = 5x + 3
y = 5.5x + 2
0.5x = 1
x = 2
y = 13
I hope any of this will help you. c:
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5 0
1 year ago
Beck finished 30% of his homework in 12 minutes. How many minutes will it take him to complete all of his homework?
arlik [135]
The correct answer is choice D.  If you put choice D into words, it is saying 30% (0.3) of the total is 12 minutes.

To solve this, use inverse operations.

<span><u>0.3m</u> = <u>12</u>
</span>0.3       0.3
m = 40

It will take Beck 40 minutes.

7 0
1 year ago
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The population of a city is 1,503,049. The land area of the city is 181.5 km².
Tresset [83]
1.) 8,281 people/km²
2.)
3.) 1226.88 grams
4.) 999.74 grams
5.) 6

I am not sure about number 2. 
5 0
2 years ago
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Quadrilaterals WXYZ and BADC are congruent. In addition, WX ≅ DC and XY ≅ BC. If AD = 4 cm and AB = 6 cm, what is the perimeter
Yanka [14]

If <u>quadrilaterals</u> WXYZ and BADC are <u>congruent</u>, then their corresponding <u>sides</u> are congruent.

Given that

  • WX≅DC,
  • XY≅BC,

you can state that

  • YZ≅AB,
  • WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer: 20 cm

6 0
2 years ago
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Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10dollar sign, 2, point, 10 per mile, and she gave the driver
Studentka2010 [4]

Answer:

2.10x+5=49.10

Distance = 21 miles.  

Step-by-step explanation:

Let x be the distance in miles between the airport and Ann's home.

We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.

We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

2.10x+5=49.10

Now let us solve our equation.

2.10x=49.10-5

2.10x=44.10

x=\frac{44.10}{2.10}=21

Therefore, the equation 2.10x+5=49.10 represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.


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2 years ago
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