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strojnjashka [21]
3 years ago
12

What is the value of c such that x2 + 10x + c is a perfect square trinomial?

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
C = (10/2)^2 = 25 to make this the square (x +5)^2.
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In an average of 65 minutes if a train stops at three stations for two minutes each and the distance is 115 miles between stops
larisa86 [58]

Answer:

117mph

Step-by-step explanation:

Given that

Total number of stations= 3

Total average time of journey of train = 65

total stop time at three stations = 3×2 =6 min

Total distance between stops = 115 miles

as we can see

Total time train was travelling = 65- 6 =59 min

so, average speed of train can be calculated as:

Average Speed = \frac{Distance -travelled-between -stations}{Total-time-the-train-travelled}

Average Speed = \frac{115}{59} =1.95 miles/minute

To convert this speed into miles per hour (mph) multiply the above speed by 60

Average speed = 60×1.95 =117 mph

So the average speed of train is 117mph.


3 0
3 years ago
A water park charges $6 for admission and $1.50 for each ride ticket. You have $36. How many ride tickets can you buy? Graph you
Musya8 [376]
You can make an equation
  6+x(1.5)=36
 -6             -6

x(1.5)=30
/1.5    /1.5
----------------
x=20
You can buy 20 tickets or less  so 
x is less than or equal to 20
B

5 0
3 years ago
Read 2 more answers
A number is 6 times another number and their difference is 30. What are the numbers? ​
Alenkasestr [34]

Answer:

x=36

y=6

Step-by-step explanation:

Let the numbers be x and y

Condition 1

x=6y ----------(1)

Condition 2

x-y=30 ------------(2)

Putting 1 in 2

6y-y=30

5y=30

Dividing both sides by 5

y=6

Now

Putting y=6 in 1

We get

x=6(6)

x=36

8 0
3 years ago
A drawing of a rectangular room has dimensions of 12 inches by 6 inches. If the scale is 2 inches : 4 feet, find the area of the
grin007 [14]

Answer: 288 feet

Step-by-step explanation:

Length of drawing = 12 inches

Actual length = 12 × (4/2)feet = 24 feet

Width if the drawing = 6 inches

Actual width = 6 × (4/2)feet = 12 feet

The area of the actual room will be gotten by multiplying the dimensions. This will be:

= 24 feet × 12 feet

= 288 feet

6 0
3 years ago
Set up and solve a proportion 6/100=s/12
rusak2 [61]

Amount of tax on the book (s) is $0.72

Step-by-step explanation:

  • Step 1: Given 6/100 = s/12
  • Step 2: Cross multiply to solve for s

⇒ 6 × 12 = 100 × s

⇒ 72 = 100s

⇒ s = 72/100 = 0.72

7 0
3 years ago
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