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kodGreya [7K]
3 years ago
10

Kendra is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles from the case

to get a good price. Each case holds 24 bottles. How many cases will she have to buy if she wants to have a total of 160 bottles of water
Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

6 cases

Step-by-step explanation:

Kendra wants a total of 160 water bottles

She already has 16 water bottles. So you can subtract 16 from 160 or

160-16 = 144

Then since there are 24 water bottles in a case, you need to divide 144 by 24 or 144÷24 = 6

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Graph y=6x−7<br> Identify the x-intercept.
valina [46]

9514 1404 393

Answer:

  x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

  0 = 6x -7

  7 = 6x . . . . . add 7 to both sides of the equation

  7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

6 0
3 years ago
The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00. Assu
m_a_m_a [10]

Answer: 0.0170

Step-by-step explanation:

Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.

i.e. \mu=23.50

\sigma=5

We assume the distribution of amounts purchased follows the normal distribution.

Sample size : n=50

Let \overline{x} be the sample mean.

Formula : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Then, the probability that the sample mean is at least $25.00 will be :-

P(\overline{x}\geq\25.00)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\geq\dfrac{25-23.50}{\dfrac{5}{\sqrt{50}}})\\\\=P(z\geq2.12)\\\\=1-P(z

Hence, the likelihood the sample mean is at least $25.00= 0.0170

5 0
3 years ago
Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpr
Phantasy [73]

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

y=mx+b            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and m=15.

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting x=10,y=200,m=15 in (i), we get

200=15(10)+b

200=150+b

200-150=b

50=b

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

5 0
3 years ago
Given the equation of the circle, identify the coordinates of the center. (x+2)2+(y-6)2=49
sveta [45]

Answer:

(-2, 6)

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

In this case, the center is (-2, 6).

3 0
3 years ago
Margaret is planning a rectangle garden. It's length is 4ft less than twice it's width. It's area is 170ft squared. What are the
Stolb23 [73]
L*W=Area L=2w-4

(2w-4)*w=170

7 0
3 years ago
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