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3 years ago

A student wrote the equation 4(x+5.5)=3(1.5x+4.75) to represent the problem shown. Find her mistake and correct it.

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer:

$8.5

Step-by-step explanation:

The first group consists of Petra and 4 friends, so the total number of members is 5, therefore the left side of equation should be:

5(x + 5.5)

The second group consists of 4 people, Valentina and 3 friends, therefore the right side of the equation should be:

4(1.5x + 4.75)

Solving the equation to find the cost of a ticket for Petra's group:

5(x + 5.5) = 4(1.5x + 4.75)
5x + 27.5 = 6x + 19
6x - 6x = 27.5 - 19
x = 8.5

Cost of a ticket is $8.5

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2 years ago

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3 years ago

The question is in the picture. Plz helppp it is due tonight

Mkey [24]

Answer:

Step-by-step explanation:

We're given one equation, we have to find the other equation and solve each for 200, and whichever has the lower x is the winner

for Jayden we are given

$(0, 48), (1, 56), (2, 64), (3, 72), (4, 80)$

This looks to be a line. The y values are each separated by a common difference

We can use two points to describe the line

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{80-48}{4-0} = \frac{32}{4} = 8\\ K = 8m + b\\48 = 8(0) + b\\b = 48\\so\\K = 8m + 48$

Now we can set both $K = 8m + 48$ and $K = m^2 + 10$ equal to 200

$200 = 8m + 48\\152 = 8m \\m = \frac{152}{8} = 19$

$200 = m^2 + 10\\m^2 = 190\\m = \sqrt{190} = 13.784$

Keiko's blog will reach 200 subscribers fastest.

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3 years ago