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madreJ [45]
3 years ago
15

Does the table represent a proportional relationship? Show your work!

Mathematics
1 answer:
wel3 years ago
4 0
Yes, adding going up one every time, 5,6,7,8
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Find the y-intercept of the line 2x+10y=20 type in an ordered pair as your answer.
dybincka [34]

(0, 2 )

to find the y-intercept, let x = 0 in the equation

x = 0 , then 10y = 20 ⇒ y = 2 ← ( y- intercept ) ⇔ (0, 2 )



3 0
3 years ago
Find the magnitude of the vector with (-7, -5) and write the vector as the sum of unit vectors.
Lesechka [4]
The magnitude of vector (-7,-5) =
                         = \sqrt{ (-7)^{2} + (-5)^{2} } = \sqrt{74} = 8.6

<span>vector as the sum of unit vectors = -7 i - 5 j</span>
4 0
3 years ago
Read 2 more answers
Suppose an airline accepted 12 reservations for a commuter plane with 10seats. They know that 7 reservations went to regular com
kvv77 [185]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

7 persons will show up for sure, hence there is not any kind of probability here.

The other 5 persons have 50% chance to show up.

The flight will be overbooked, if either 4 will come or 5 will come.

From the total 5 persons, 4 can be chosen in ^5C_4 = 5 ways.

The probability that any four among the 5 will come is 5\times(\frac{50}{100} )^{5} = 5\times(\frac{1}{2} )^{5} = \frac{5}{32}.

The probability that all of the 5 passengers will come is \frac{1}{32}.

Hence, the required probability is \frac{5}{32} + \frac{1}{32} = \frac{6}{32} = \frac{3}{16}.

(b)

The probability that there will be exactly 10 passengers on the flight is ^5C_3\times (\frac{1}{2} )^5 = \frac{20}{2} \times\frac{1}{32} = \frac{10}{32} = \frac{5}{16}.

The probability that there will be no empty seats in the plane is \frac{3}{16} + \frac{5}{16} = \frac{1}{2}.

Hence, probability of having empty seats is 1 - \frac{1}{2} = \frac{1}{2}.

6 0
3 years ago
the velocity of a motorcycle increases by acceleration of 2ms-2 and comes 20ms -1 in 5 seconds find the initial velocity of the
KonstantinChe [14]

a = v-u/t

2 = 20 - u / 5

10= 20-u

u = 10 m/s

7 0
3 years ago
A pipe is leaking at 1.5 cups per day about how many gallons per week is the pipe leaking
yawa3891 [41]
1 U.S. CUP - 0.0625 U.S. GALLONS

So? Convert the cups to gallons.

7 DAYS/PER WEEK

1.5 x 7 = 10.5

So... half a cup is about 0.03125 gallons.

0.03125 + (10 x 0.0625) = ???

Drum roll please...

Plot twist: You can do it yourself. 

:P
3 0
3 years ago
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