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fiasKO [112]
4 years ago
11

An item that was selling for 72.00 is reduced to 60.00. What is the percent decrease in the price?

Mathematics
1 answer:
Morgarella [4.7K]4 years ago
6 0
16 2/3%. 72 minus 60 is 12, then 12/72 is .16666667, then move the decimal place two spots to the right, getting 16.66666667%, remembering that .66 repeating is in fact better represented as 2/3, so 16 2/3%
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In one semester, doug and Laura spent a combined 250 hours in the tutoring lab. If doug spent 40 more hours in the lab then Laur
aksik [14]

Answer:

Step-by-step explanation:

What we have is a general equation that says this in words:

Laura's hours + Doug's hours = 250 total hours

Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's.  We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x".  That makes Doug's hours "x + 40".  Now we can write our general equation in terms of x:

x + x + 40 = 250 and

2x = 210 so

x = 105

Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked.  Doug worked 145.  As long as those 2 numbers add up to 250, we did the job correctly.  105 + 145 = 250? I believe it does!!

8 0
4 years ago
Using the sine rule, calculate the length y. Give your answer to 2 s.f.​
Tpy6a [65]

Answer:

y = 9.84 mm

Step-by-step explanation:

<h2>Sine rule:</h2>

Law of sine:

   \sf \boxed{\bf \dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B}= \dfrac{c}{Sin \ C}}

    a = y

    A = 31°

   b  = 17 mm

    B = 117°

\sf \dfrac{y}{Sin \ 31^\circ}=\dfrac{17}{Sin \ 117^\circ}\\\\

          \sf y = \dfrac{17}{Sin \ 117^\circ}*Sin \ 31^\circ\\\\  y = \dfrac{17}{0.89}*0.515\\\\y = 9.84 \ mm

8 0
2 years ago
Find the area of each figure. round to the hundredths place when necessary
notsponge [240]

Answer:

115.48m^{2}

Step-by-step explanation:

This shape can be split into two distinct shapes

Two halves of a semi circle, and a rectangle in between

Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π r^{2}

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π r^{2}

A = π * 3.5^{2}

A = 38.38m^{2}

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77m^{2}

Total Area = Circle area + Rectangle area

Total Area = 38.38 + 77 = 115.48m^{2}

6 0
3 years ago
A car rental company offers two options. option a is $25 per day plus $0.11 per mile. option b is $12 per day plus $0.36 per mil
AVprozaik [17]
25+0.11n>12+0.36n
13>0.25n
n<52
Option b will cheaper then quantity of miles less than 52 miles.
6 0
3 years ago
Can someone slove this please
Morgarella [4.7K]
Hope this helps u.!!!

8 0
4 years ago
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