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densk [106]
3 years ago
8

Samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies

per hour.
write an inequality that represents the situation. let X be the number of hours she spends making chicken pot pies and y be the number of hours she spends making veggie pot pies.
Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

y>(line under >) - 4/5x + 8

Step-by-step explanation:

Phrase "at least" indicates that the total number of pies is greater than or equal to 120.

The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.

Use this information to create the inequality:

12x + 15y >(line under >) 120

Simplify by solving for y to get this inequality:

y >(line under >) - 4/5x + 8

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Obtaining a measure of intelligence from a group of college students would likely yield a somewhat normal distribution (that is,
ki77a [65]

Answer:

C. Mean

Step-by-step explanation:

We have been given that obtaining a measure of intelligence from a group of college students would likely yield a somewhat normal distribution (that is, there shouldn't be any extreme outliers).

We know that median is best measure of central tendency with extreme outliers, while mean is the best measure of central tendency when the data is normally distributed.

Mode is used when data are measured in a nominal scale.

Since the measure of intelligence from a group of college students yield a somewhat normal distribution, therefore, mean will be the best measure of central tendency.  

7 0
3 years ago
A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.
dimulka [17.4K]
A = W· L
10,000 = W ( W +30 ) = W² + 30 W
W² + 30 W - 10,000 = 0
W = \frac{-30+ \sqrt{900+40000} }{2}=  \frac{-30+202.24}{2} = 86.12
L = 86.12 + 30 = 116.12
Width of a plot is 86.12 m and lenght is 116.12 m.
Check : A = 116.12 · 86.12 ≈ 10,000
6 0
3 years ago
Find the surface area of the tool box. Round your answer to the nearest tenth and explain your answer. ​Pls I NEED THE ANSWER NO
Andrej [43]

Answer:

807.8 in^2

Step-by-step explanation:

The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:

The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...

(18 in)(35.6 in) = 640.8 in^2

The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...

(9.6 in)(8.7 in) = 83.52 in^2

Then the total area is the lateral area plus the area of the two ends:

640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2

7 0
3 years ago
What is the y-intercept of the line represented by the equation?<br><br><br><br> y = –6x – 1
ValentinkaMS [17]
If the equation of a line is written in the y=mx+b form, b is the y-intercept.

y=-6x-1 \\&#10;b=-1

The y-intercept is -1. The line crosses the y-axis at the point (0,-1).
8 0
4 years ago
Read 2 more answers
The cost of renting an apartment can be modeled by the function C(m)=900m+1400, where C(m) is the cost in dollars for m months o
Ahat [919]

Answer:

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

Step-by-step explanation:

This function is linear, which means that it increases at a steady rate and has the following form:

y(x) = a*x + b

Where "a" is the slope or the rate at which "y" changes for every change in "x". While "b" is the number at which the function crosses the "y" axis.

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

5 0
3 years ago
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