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kolezko [41]
3 years ago
8

John bought 24 pencils priced at 12 for $1.25 and 4 notebooks for $0.65 each. Which expression can john use to determine the tot

al amount he
spent, not including tax, on pencils and notebooks?
•a 28.(1.25+0.65)
•B (2x1.25) +(4x0.65)
•C (24x1.25)+(4x0.65)
•D (12x1.25)+(4x0.65)
Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

B

Step-by-step explanation:

If 12 pencils are 1.25, 24 would be 2 x 1.25. And 4 notebooks worth 0.65 would be 4 x 0.65

Added up, this expression is:

(2 x 1.25) + (4 x 0.64)

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Answer: -\frac{8}{5}

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

  • Let's use the points (-1, 4) and (4, -4).
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  • Because the line is decreasing, the slope is negative.
  • Therefore, the slope is -\frac{8}{5}.

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

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Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its dest
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Answer:

speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A  reaches its destination in 17 minutes.

this means that speed of car A is given by:  \dfrac{x}{17} miles/minutes  ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: \dfrac{y}{32} miles/minutes

as speed of both cars are equal this means:

\dfrac{x}{17}=\dfrac{y}{32}------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means y-x=12

y=12+x------(2)

on using equation (1) and (2) we have:

\dfrac{x}{17}=\dfrac{12+x}{32}\\  \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6

Hence the speed of car A is 0.8 miles/minutes  ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.



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Which expression is equivalent to one over five m − 20?
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