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Zepler [3.9K]
3 years ago
14

Holden and Bryson started to hike a portion of the Appalachian trail that is 12 2/5 miles long. Due to snow, they had to stop af

ter hiking 7 1/2 miles. How much of the trail did they miss hiking
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer: 4 9/10

Step-by-step explanation: You need to subtract 12 2/5 and 7 1/2.

The two fractions have different denominators. Multiply to find a common denominator

2/5 x 2/2 = 4/10

1/2 x 5/5 = 5/10

Now you have 12 4/10 minus 7 5/10. But you cannot subtract 4/10 and 5/10 equally.

Subtract 12 - 1 and add 1 to 4/10.

12 - 1 = 11

10/10 (10/10 is 1) + 4/10 = 14/10

Now you have 11 14/10 minus 7 5/10. Subtract.

11 - 7 = 4

14/10 - 5/10 = 9/10

That makes 4 9/10.

Hope this is helpful :)

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Choose all the factors of 12. (Check all that apply.) multiple choice
ira [324]

Answer:

Hey!!!!

the answers are 2, 6, 3, 12, 4, 1

Please read the explanation... it always helps..

Step-by-step explanation:

Alrighty... let's begin....

A factor is any number that you can multiply by another number to get a product

So choose the numbers you can mutiply by another number to get twelve... which are...  2, 6, 3, 12, 4, 1

if you are wondering why twelve well... 12 x 1 = 12

i hope this helps!!!!

7 0
2 years ago
Read 2 more answers
In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
frutty [35]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

There is a fact in any triangle, the segment joining the mid points of

two sides of the triangle is:

  • Parallel to the third side
  • Its length is half the length of the third side

In Δ XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = \frac{1}{2} XZ

∵ XZ = 18 units

∴ AB = \frac{1}{2} × 18 = 9 units

∵ C is the mid point of XZ

∵ B is the mid point of YZ

∴ BC = \frac{1}{2} XY

∵ AY = 7 units

∵ AY = \frac{1}{2} XY

∴ 7 = \frac{1}{2} XY

- Multiply both sides by 2

∴ 14 = XY

∴ BC = \frac{1}{2} × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = \frac{1}{2} YZ

∵ BZ = 8 units

∵ BZ = \frac{1}{2} YZ

∴ 8 = \frac{1}{2} YZ

- Multiply both sides by 2

∴ 16 = YZ

∴ AC = \frac{1}{2} × 16 = 8 units

∵ The perimeter of any triangle is the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/10677255

#LearnwithBrainly

3 0
3 years ago
Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3
Kazeer [188]

Answer:

The equation for the standard form of the line will be:

  • 3x + (-4y) = -12

Step-by-step explanation:

Given

  • x-intercept = –4
  • y-intercept = 3

The equation of a line in standard form

  • Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in  slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let  

(x₁, y₁) = (-4, 0)             ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3)              ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

    = (3 - 0) / (0 - (-4))

    = 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

  • Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

  • 3x + (-4y) = -12

7 0
2 years ago
Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 18 miles per day. The mileage per day
kvv77 [185]

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

<h3>How to calculate the probability distribution?</h3>

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

<h3>Calculation:</h3>

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

Learn more about standard normal distribution here:

brainly.com/question/26822684

#SPJ1

5 0
1 year ago
What percent of 40.4 is 50.5
k0ka [10]
50,5-100%
40,4-х%
x=(40,4*100)\50,5=80%
Answer:80%
5 0
3 years ago
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