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Slav-nsk [51]
3 years ago
11

A line segment is partitioned with a ratio 2:5, how many total parts has the segment been split into

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

Answer:

7 parts

Step-by-step explanation:

To get the answer to this, we only simply to know the number of times in which the division was made.

This means that the total ratio of the lines is 2 +5 = 7. Meaning we have 7 different divisions.

The first division carries 2/7 while the second division carrues 5/7

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Types of bonds are divided into three categories: good risk, medium risk, and poor risk. Assume that of a total of 11, 332 bonds
Alekssandra [29.7K]

Answer:

Probabilty of not poor= 0.75

Step-by-step explanation:

total of 11332 bonds.

7311 are good risk.

1182 are medium risk.

Poor risk

= total risk-(good risk+ medium risk)

= 11332-(7311+1182)

= 11332-8493

= 2839.

Poor risk = 2839

Probabilty that the ball choosen at random is not poor= 1 - probability that the ball is poor

Probability of poor = 2839/11332

Probabilty of poor= 0.2505

Probabilty that the ball choosen at random is not poor= 1- 0.2505

= 0.7495

To two decimal place= 0.75

3 0
3 years ago
A computer online service charges one hourly rate for regular use but a higher hourly rate for designated "premium" areas. One c
N76 [4]

Answer: the service charge per hour for premium services is $5.5

the service charge per hour for regular services is $3

Step-by-step explanation:

Let x represent the service charge per hour for premium services.

Let y represent the service charge per hour for regular services.

One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that

2x + 9y = 38- - - - - - - - - - - 1

Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that

3x + 6y = 34.5- - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes

6x + 27y = 114

6x + 12y = 69

Subtracting, it becomes

15y = 45

y = 45/15

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 9 × 3 = 38

2x + 27 = 38

2x = 38 - 27 = 11

x = 11/2 = 5.5

8 0
3 years ago
Write an inequality to match each description. Use n for the variable.
mel-nik [20]

{\huge {\mathfrak {Answer :-}}}

Let, the length be l and breadth be b.

So, 2(l + b) = 26

Or, l + b = 13

Or, l = 13 - b

So, we may write like this,

Area = l * b

Or, l * b > 30

Or, l (13 - l) > 30

Or, 13l - l^2 > 30

Or, l^2 - 13l + 30 > 0

Or, l^2 - 3l - 10l + 30 > 0

Or, l(l - 3) - 10(l - 3) > 0

Or, (l - 3)(l - 7) > 0

Or, l - 7 > 0

Or, l > 7.

Now, putting the value of l,

We get, l * b > 30

Or, 7 * b > 30

Or, b > 30/7

➡️ Therefore, we get,

Length > 7

Breadth > 30/7

That's it..

6 0
3 years ago
(2-3a)(8+5a) please help me
IceJOKER [234]

Answer:

-15a² -14a+16

Step-by-step explanation:

<h2>(2-3a)(8+5a)</h2>

2×8=16

2×5a=10a

-3a×8=-24a

-3a×5a=-15a²

16+10a-24a-15a² = -15a² -14a+16

7 0
2 years ago
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
yKpoI14uk [10]

the axis of symmetry is x=2

8 0
3 years ago
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