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marshall27 [118]
3 years ago
9

Jane used $68 more than two-fifths of her last paycheck to purchase a new surfboard. If the surfboard cost $289, find the amount

of her paycheck
Mathematics
1 answer:
garri49 [273]3 years ago
4 0

Answer:

552.5

Step-by-step explanation:

2/5x + 68 = 289

2/5 x = 289 - 68

2/5x       = 221

x = 221  * 5/2 = 552.5

I hope im right!!!

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Which of the following linear equations<br> have a positive slope? Circle all that apply.
ValentinkaMS [17]

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C and E

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What is the area of the figure?? HELP PLS!!
Alchen [17]
Hi!

I've included an image showing the shape divided into 3 rectangles. We're going to find the area of each rectangle.

To find the area of a rectangle, multiply the length times the width. 

The red rectangle:

8 · 9 = 72
The area of the red rectangle is 72in.

The orange rectangles:

The orange rectangles have the same area. 
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The area of both orange rectangles is 60in.

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3 0
4 years ago
Determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)
AysviL [449]

Answer:

slope = - \frac{3}{2}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)

m = \frac{-2-1}{0+2} = \frac{-3}{2} = - \frac{3}{2}

7 0
3 years ago
Show that log√7 + log√20 - log√14 = 1/2
Mademuasel [1]

Alright, lets get started.

log \sqrt{7}  + log \sqrt{20}  - log\sqrt{14} = \frac{1}{2}

We could write this square root as \frac{1}{2}

log7^{\frac{1}{2}} + log20^{\frac{1}{2}}- log14^{\frac{1}{2}}

Using the property of logm^{n } = n log (m)

\frac{1}{2}log 7 + \frac{1}{2} log 20 - \frac{1}{2} log14

\frac{1}{2} is common in each term, so

\frac{1}{2}(log7 + log 20 - log 14)

Using property of log m  + log n = log(mn)

\frac{1}{2}(log 140 - log 14)

Using property of log m - log n = log\frac{m}{n}

\frac{1}{2}log\frac{140}{14}

\frac{1}{2} log 10

log 10 value is 1 , hence

\frac{1}{2} * 1 = \frac{1}{2} : Answer

Hope it will help :)

6 0
3 years ago
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