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Katarina [22]
2 years ago
7

There are four hundred twenty-three people attending luncheon. If a table can hold 6 people, how many tables do they need?

Mathematics
1 answer:
Dmitry [639]2 years ago
5 0

Answer:

the answer is 71

Step-by-step explanation:

423/6

42÷6=7

42-42=0

6÷3=×

30÷6=5

70.5--> 71

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Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21
yarga [219]

Given:

A line passes through (1,-2) and is perpendicular to -4x+7y=21.

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

-4x+7y=21

Slope of this line is

m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{-4}{7}

m_1=\dfrac{4}{7}

Product of slope of two perpendicular lines is -1.

m_1\times m_2=-1

\dfrac{4}{7}\times m_2=-1

m_2=-\dfrac{7}{4}

Now, slope of required line is -\dfrac{7}{4} and it passes through (1,-2). So, the equation of line is

y-y_1=m(x-x_1)

where, m is slope.

y-(-2)=-\dfrac{7}{4}(x-1)

4(y+2)=-7(x-1)

4y+8=-7x+7

4y+7x=7-8

7x+4y=-1

Therefore, the equation of required line is 7x+4y=-1.

7 0
2 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
saul85 [17]

Answer:

Option B is the correct answer

Step-by-step explanation:

<u>A line segment is a line drawn with two end points.</u>

1.) Option A is a point

2.) <u>Option B is a line segment</u>

3.) Option C is a ray

4.) Option D is a line

Hope this helps!

8 0
2 years ago
B(a + b) - a(a - b)
mixas84 [53]

Answer:

Go to the website below this messages for the answer with step-bij-step explanation

Step-by-step explanation:

https://socratic.org/questions/how-do-you-simplify-b-a-b-a-a-b

6 0
3 years ago
Ray MN and ray ML are two sides of an angle. What is a name of this angle?
Setler [38]
It is (c) NML
Because MN and ML is the vertex and the point meeting is M which is the angle.
The M is the angle because the common letter of both vertex is the letter M

7 0
3 years ago
There is a .02 probability that a customer's Visa charge will be rejected at a certain Target store because the transaction exce
lara31 [8.8K]

Answer:

c. 3324

Step-by-step explanation:

We need to use the formula of Geometric CDF with π =0.02

P(x≤20) = 1 - (1-0.02)^20

P(x≤20) = 1 - (0.98)^20

P(x≤20) = 1 - (0.98)^20

P(x≤20) = 1 - 0.6676

P(x≤20) = 0.3324

Therefore the probability that the first such ejection occurs within the first 20 Visa transactions is 0.3324

8 0
3 years ago
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