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yanalaym [24]
3 years ago
10

Five numbers have a range of 14. Four of the numbers are 20, 22, 31 and 25. Work out the two different possible values for the f

ifth number.
Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:

17

34

Step-by-step explanation:

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

the missing number can either by the highest value or the lowest value. this is because none of the numbers given when subtracted from each other would give a value of 14

let x = missing number

14 = x - 20

x = 20 + 14 = 34

or

14 = 31 - x

x = 31 - 14

x = 17

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Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
Write the equation of the line that has a slope of m=3 and passes through (4 , 2)
mina [271]

Answer:

y=3x-10

Step-by-step explanation:

For this, you would use the point slope formula, which is (y-y1)=m(x-x1). x1 and y1 are the coordinates from the ordered pair.

(y-y1)=m(x-x1)

(y-2)=3(x-4)

y-2=3x-12

y=3x-10

To check, you can plug the coordinates into the equation.

y=3x-10

(2)=3(4)-10

2=12-10

2=2

3 0
3 years ago
Consider the triangle.<br> 45°<br> 80°<br> Find the measure of the unknown third angle.
Elina [12.6K]

Answer:

55 \degree

Step-by-step explanation:

Let the unknown angle be x

As the interior angles in a triangle are added up to 180°

x + 45 + 80 = 180 \\ x + 125 = 180 \\ x = 180 - 125 \\ x = 55 \degree

Hope this helps you.

Let me know if you have any other questions:-)

6 0
3 years ago
Read 2 more answers
What is the slope of the line with points A and B?
Zanzabum

Answer:

you will have to get the graph :\

Step-by-step explanation:

sorry

4 0
3 years ago
PLEASE, PLEASE HELP ME I SWEAR I'LL GIVE BRAINLIEST
Sunny_sXe [5.5K]

Answer:

1. is a solution

2. is a solution

3. not a solution

4. not a solution

5. not a solution

6. is a solution

7. is a solution

8. not a solution

Step-by-step explanation:

5 0
3 years ago
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