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Alla [95]
3 years ago
5

Biking at 10 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it t

akes another hour for her to get to work when the train travels 28 mph. How far does Kristen travel to work?
PLEASE I NEED HELP
Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

Answer:

38 miles

Step-by-step explanation:

if it takes her one hour going at 10 mph to get to the train, she traveled 10 miles

if she took one hour on a train going 28 mph, then she traveled 28 miles

28+10 is 38

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AB lies on a number line. The coordinate of point A is -6. Given that AB=20, what are two possible coordinates for point B?
Dafna1 [17]

Answer:

<em>-26 or 14</em>

Step-by-step explanation:

Given that

Coordinate of point A is -6.

Length of AB = 20

To find:

Coordinates for the point B = ?

Solution:

We are given that:

AB = 20

In other words, we can use modulus function to define the distance between A and B:

|Coordinates of B - Coordinates of A| = 20

Let the coordinates of B = x

Kindly refer to the attached image for the given situation.

Point B might be either on the left or on the right side of A.

That means:

|x-(-6)| = 20\\\Rightarrow |x+6|=20

Now, let us have a look at the modulus function:

|y|=\left \{ {-{y}\ if\ y0} \right.

So,

|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)0} \right.

(x+6 ) =20\\\Rightarrow x =14

-(x+6 ) =20\\\Rightarrow x =-26

Therefore, the answer is:

<em>-26 or 14</em>

4 0
3 years ago
Can you please help me
Ket [755]

Answer:

Lauren

  1. 220
  2. 440
  3. 660
  4. 880
  5. 1100
  6. 1320

Harold

  1. 110
  2. 220
  3. 330
  4. 440
  5. 550
  6. 660

Step-by-step explanation:

Multiply values by the number of months.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
2 years ago
A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is
MArishka [77]

Answer:

Evening walk is shorter.  

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

\text{Two-thirds}=\frac{2}{3}

\text{Two-thirds}=\frac{2\times2}{3\times2}

\text{Two-thirds}=\frac{4}{6}

\text{Three-sixth}=\frac{3}{6}

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

5 0
3 years ago
Is a tray with a circumference of 32 inches is big enough to
yKpoI14uk [10]

Answer:

Yes

Step-by-step explanation:

Circumference formula is C=2 pi r, if you divide the pizza by 2 to get the radius,5, then input it into the formula to get 31.41592654, and since this number is smaller than 32 it will fit. If 10 is the radius it will not fit.

7 0
3 years ago
A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those date
Anni [7]

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

3 0
2 years ago
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