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statuscvo [17]
2 years ago
12

a contractor is purchasing stone tiles for a new patio. Each tile cost $3, and he wants to spend between $600 and $900 inclusive

. Write an inequality that represents the number of tiles he can purchase and then figure out the possible number of tiles he can purchase
Mathematics
1 answer:
tankabanditka [31]2 years ago
6 0

Answer:

600 ≤ 3x ≤ 900

Can purchase between 200 to 300 tiles.

Step-by-step explanation:

600 ≤ 3x ≤ 900

600 ≤ 3x and 3x ≤ 900

x ≥ 200 and x ≤ 300

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To get the perimeter of the trapezoid, we will add the lengths of the 4 sides together.
So, first we will need to get the length of each side.

Base of trapezoid = 8 - 2 = 4 units
The upper edge of the trapezoid = 6 - 4 = 2 units

Now, for the two side edges, we can note that they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 units

From the above, we can now easily get the perimeter as follows:
perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units

Based on the above calculations, the best choice would be:
D. 8 + 2√29 units

3 0
3 years ago
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The table below shows the distances and travel times for three different flights departing from Minneapolis.
zhannawk [14.2K]

Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

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Minot 2 913

San Francisco 4 2,556

Phoenix average speed = distance travelled / time taken

= 1,689 km /3 hours

= 563 km/hour

Minot average speed = distance travelled / time taken

= 913 km / 2 hours

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San Francisco average speed = distance travelled / time taken

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The fastest average speed flight is San Francisco with an average speed of 639 km/hour

7 0
2 years ago
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Simplify the square root of 50. A. 5 times the square root of 2 B. the square root of 5 times the square root of 10 C. 2 times t
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8 0
3 years ago
Hello! could use some help. (answer all questions in one answer comment)
gtnhenbr [62]

Answer:

1. 8

2. 21÷3=7

3. 5x6=30

4. 7

7 0
2 years ago
A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough cus
rusak2 [61]

Answer:

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Step-by-step explanation:

The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

50 major customers, 15 would accept the plan.

This means that N = 50, k = 15

The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.

This means that n = 10

a. What is the probability that exactly two of the selected major customers accept the plan

This is P(X = 2).

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

4 0
2 years ago
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