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Nikitich [7]
2 years ago
11

A garden table and a bench cost $623 combined. The garden table costs $77 less than the bench. What is the cost of the bench?

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
3 0

Answer:

the bench costs $546

Step-by-step explanation:

subtract the cost of the table from the total

623 - 77 = 546

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2 years ago
On the grid, sketch a graph to represent
Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;

\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance  \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}

The plot of the above point is completed using MS Excel as shown in the attached diagram.

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2 years ago
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(5b)(-3a)
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3 0
3 years ago
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\widehat{RQS}+\widehat{TQS}=\widehat{RQT}\\\Leftrightarrow 9x + 1 + 7x + 3 = 180 \\ \widehat{RQS}+\widehat{TQS}=\widehat{RQT}\\\Leftrightarrow 16x = 176\Leftrightarrow x = 11 \\ \Rightarrow \widehat{RQS} = 9 \times 11 + 1 = 100° \: \wedge \: \widehat{TQS} = 7 \times 11 + 3 = 80°

4 0
3 years ago
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