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neonofarm [45]
3 years ago
14

Point N is on line segment MO. Given NO = 2x– 3, MO = 3x + 5, and

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

The numerical length of MO is 20 units

Step-by-step explanation:

Let us solve the question

∵ Point N is on line segment MO

→ That means point N divides segment MO into two parts MN and NO

∴ MO = MN + NO

∵ MO = 2x + 5

∵ MN = 2x + 3

∵ NO = 2x - 3

→ Substitute them in the equation above

∴ 3x + 5 = (2x + 3) + (2x - 3)

→ Add the like terms in the right side

∵ 3x + 5 = (2x + 2x) + (3 - 3)

∴ 3x + 5 = 4x + 0

∴ 3x + 5 = 4x

→ Subtract 3x from both sides

∵ 3x - 3x + 5 = 4x - 3x

∴ 5 = x

∴ The value of x is 5

→ To find MO substitute x by 5 in its expression

∵ MO = 3x + 5

∴ MO = 3(5) + 5

∴ MO = 15 + 5

∴ MO = 20 units

The numerical length of MO is 20 units

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Xelga [282]

Answer:

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Step-by-step explanation:

  • Try finding pattern of last two digits of 7 to the power of some numbers.

7^1=07

7^2=49

7^3=343

7^4= 2301

7^5= 16807

  • so , the pattern is, 07,49,43,01
  • so, if we start writing all numbers from 1 to 2018 , four number in each line, 2018 will fall in the second column.
  • so it will have 49 as the  last 2 digits [by seeing this pattern : 07,49,43,01 ]
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3 years ago
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valina [46]

Answer:

20

Step-by-step explanation:

The questions asks about Combinations of Pizza toppings, so by employing the Combination Formula:

C(n, k) = \frac{n!}{k!(n-k)!}

C(6, 3) = \frac{6!}{3! \cdot 3!} = \frac{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2}{3 \cdot 2 \cdot 3 \cdot 2} = 20

8 0
4 years ago
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Answer:

The unit price of an item is the cost for each unit.

The unit price may be calculated for several reasons.

It will allow an easy comparison of the cost of the same quantity of items that come in different sizes.

For example, Company A sells peaches in a can. Their can holds 16 oz of peaches at a price of $1.60. Company B also sells peaches in a can, but their can holds 10 oz of peaches at a price of $1.10. At first glance, Company B looks like they might have cheaper peaches because of the lower overall price, but when you calculate the unit price, you get a more accurate way to compare.

For Company A, $1.60 ÷ 16oz = $0.10 per ounce.

For Company B, $1.10 ÷ 10oz = $0.11 per ounce.

The peaches are measured with ounces as the unit, so now that we have unit prices, we can definitely tell that Company A is the better deal, if you like peaches!

Unit price can also be helpful to find the cost of a single item when many items are purchased together. This may be required if the items are going to be divided up and resold. It could also be useful if several people will pay together with each person paying their fair share of the cost based on how many items they receive.

Step-by-step explanation:

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