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Viktor [21]
3 years ago
8

The sum of two consecutive positive integers is less than 15.

Mathematics
1 answer:
Lilit [14]3 years ago
6 0

Answer:

7

Step-by-step explanation:

first and foremost the two consecutive numbers will be x and x + 1, which will equal to 2x + 1.

2x + 1 > 15

2x + 1 = 15

Collect like terms

2x = 15 - 1

2x = 14

Divide both sides by 2

x = 7

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The cross sectional shape is a circle.
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Write a sentence that explains the relationship between the two numbers.
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The second answer is 4 times as small as the first
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The measure of arc BCD is
makkiz [27]

Answer:

m∠BCD = 140°

Step-by-step explanation:

ABCD is cyclic quadrilateral. A property of cyclic quadrilateral states that the opposite angles of it sum up to 180°. Here:

m∠A + m∠C =180°         and         m∠B + m∠D = 180°

So, m∠A + m∠C =180°

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6 0
3 years ago
2. A lunch stand makes s.75 profit on each chef's salad and $1.20 profit on each Caesar salad. On a typical weekday, it sells be
kow [346]

Let's let

<u>x = the number of chef salads, x>=0</u>

<u>y = the number of Caesar salads, y>=0</u>

The constrains are:

40 <= x <= 60

35 <= y <= 50

x + y <= 100

The objective function here is F(x, y) = 0.75x + 1.20y

The corner points are (40, 35),  (60, 35), (60, 40), (50, 50) and (40, 50).

F (40, 35) = 0.75*40 + 1.20*35 = $72

F (60, 35) = 0.70*60 + 1.20*35 = $84

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F (40, 50) = 0.75*40 + 1.20*50 = $90

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8 0
3 years ago
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