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Iteru [2.4K]
3 years ago
14

The equation Y equals 4/10 X describes the number of kilometers y that a van travels in x minutes. What is the constant speed of

the van in terms of hours?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

\frac{4}{10}=0.4 kilometers per hour.

Step-by-step explanation:

We have been given an y=\frac{4}{10}x, which describes the number of kilometers y that a van travels in x minutes. We are asked to to find the constant speed of the van in terms of hours.

We can see that van travel \frac{4}{10}x kilometers in x hours. To find the constant speed of van, we will substitute x=1 in our given equation as:

y=\frac{4}{10}(1)

y=\frac{4}{10}

Since van travels \frac{4}{10} kilometers in one hour, therefore, constant speed of van is \frac{4}{10} kilometer per hour or 0.4 kilometers per hour.

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A county has a goal to build 12,000 bus stop shelters in 48 months . If the county builds 215 bus shelters each month , will it
Leokris [45]

Answer:

No, it will not reach its goal.

Step-by-step explanation:

The main reason why it will not meet its goal is because if you do the math, 215 x 48 does not equal 12000, it equals 10320 which is just 1680 shelters low. Therefore, they will not meet their goal.

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3 years ago
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Please awnser for brainlyest awnser btw I don’t like emojis ✌️✌️✌️✌️✌️✌️✌️
nexus9112 [7]

Answer:

7. Mean = 48

Median = 47.5

Mode = 72

Range = 66

8. Mean= 59.625

Median = 61

Mode = 90

Range = 79

9. Mean = 31.57

Median = 32

Mode = 46

Range = 34

10. Mean = 42.11

Median = 36

Mode = 51

Range = 51

Step-by-step explanation:

Mean is the average. Mode is the number that appears the most. Median is the middle number. Range is the biggest number minus the smallest number.

Hope this helps.

3 0
3 years ago
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