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S_A_V [24]
2 years ago
15

Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum num

ber of hours Jon must work in order to buy the plane ticket to Florida.

Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer:

30 hours

Step-by-step explanation:

300 - 30

270/7.5

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If x+y=z and z=x+4,then x+y=x+4
lidiya [134]
That is true because as you can see in the other 2 equations, they both have z on one of the sides meaning that the sides that don't have z are equal to each other

Hope this helps :)
3 0
3 years ago
Solve the equation by completing the square
Nana76 [90]

Answer:

s = - 1 ± \sqrt{7}

Step-by-step explanation:

Given

s² + 2s - 6 = 0 ( add 6 to both sides )

s² + 2s = 6

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± \sqrt{7} ( subtract 1 from both sides )

s = - 1 ± \sqrt{7}

Thus

s = - 1 - \sqrt{7} , s = - 1 + \sqrt{7}

4 0
3 years ago
Equation for, One half the sum of 8 and x
Ahat [919]

Answer:

\frac{8 + x}{2}

Step-by-step explanation:

First, we have to write 8 + x, but since it's half of that we write it as a fraction with a 2 on the bottom to halve it.

6 0
3 years ago
Read 2 more answers
-2 2/3 divided by 4/3
Vedmedyk [2.9K]

Answer:

-2

Step-by-step explanation:

Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2

8 0
1 year ago
10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0
2 years ago
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