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Tcecarenko [31]
2 years ago
14

Classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
8 0

Answer:

no solution

Step-by-step explanation:

6x + 4x - 1 = 2(5x + 4) ← distribute parenthesis

10x - 1 = 10x + 8 ( add 1 to both sides )

10x = 10x + 9 ( subtract 10x from both sides )

0 = 9 ← not possible

this indicates the equation has no solution

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The data set represents the number of rings each person in a room is wearing. 0, 2, 4, 0, 2, 3, 2, 8, 6 What is the interquartil
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D1,..,d9 = 0,0,2,2,2,3,4,6,8  //there are 9 values, in ascending order
Q2 (median) = d5 = 2  //value in the middle
Q1 = (d2+d3) / 2 = (0+2)/2 = 1
(Q1 is middle value of d1,d2,d3,d4, but there is no middle element among four elements, that is why arithmetic mean is taken)
Q3 = (d7+d8) / 2 = (4+6)/2 = 5
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4 0
3 years ago
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Find the distance between (-4, 6) and (3,7)
Karo-lina-s [1.5K]

Answer:

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MatroZZZ [7]

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3 0
3 years ago
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A grapefruit has a peel that is 1cm thick and a total diameter of 12cm. What percentage of volume of the grapefruit is the peel?
ira [324]

Answer:

0.3056 or 30.56%

Step-by-step explanation:

The volume of the grapefruit with the peel is:

V_p=\frac{4 \pi (d/2)^2}{3}\\V_p=\frac{4 \pi (12/2)^2}{3}\\V_p=48 \pi

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

V_n=\frac{4 \pi (d/2)^2}{3}\\V_n=\frac{4 \pi (10/2)^2}{3}\\V_n=33.333 \pi

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:

\%P = \frac{48\pi - 33.333\pi}{48\pi}\\ \%P =0.3056 = 30.56\%

30.56% of volume of the grapefruit is the peel.

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4 years ago
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Answer:

k\.

Step-by-step explanation:

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