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PIT_PIT [208]
3 years ago
5

Andrew has 212 coins, all of

Mathematics
1 answer:
Igoryamba3 years ago
8 0

Answer:

158 quarters

54 dimes

Step-by-step explanation:

Let d = no. of dimes

     q = no. of quarters

10d = value of all the dimes since each dime is worth 10 cents

and 25q = value of all the quarters since each quarter is worth 25 cents

$44.90 = 4490 cents

  10d + 25q = 4490              d + q = 212

<u> - 10d - 10q = -2120</u>

             15q = 2370

                 q = 158 quarters   d + 158 = 212

                                                        d = 54 dimes

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ladessa [460]

AB is a chord that passes through the center O, which means the central angles BOC and AOC are supplementary. So

m\angle BOC+m\angle AOC=180^\circ\implies m\angle AOC=180^\circ-55^\circ=125^\circ

Central angles and the arcs they subtend have the same measure, so that

m\widehat{AC}=m\angle AOC=125^\circ

m\widehat{CBA}=m\widehat{BC}+m\widehat{AB}=m\angle BOC+m\angle AOB=55^\circ+180^\circ=235^\circ

4 0
3 years ago
What is the area of a parallelogram that has a height of 2 1/2 inches and a base of 7 inches
crimeas [40]

Answer:

17 1/2 in²

Step-by-step explanation:

a=l×w

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3 years ago
Anna selects a positive multiple of 4 that is less than forty, and Becky selects a positive multiple of 3 that is less than sixt
Luba_88 [7]

Answer:

3/171

Step-by-step explanation:

The problem can be simplified into finding probability that Anna and Becky select 12 or 24 or 36 which are less than 40 and multiples of 3 and 4.

Probability of Anna selecting 12 = 1/9

Probability of Becky selecting 12 = 1/19

Probability of Anna and Becky selecting 12 = 1/9 * 1/19 = 1/171

Probability of Anna and Becky selecting 12 or 24 or 36 = 3* 1/171 = 3/171

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3 years ago
Fractions greater than 1 ? what's the answer I need help ​
Tcecarenko [31]

Answer:

7/6,

999/2,

123/4

Step-by-step explanation:

As long as the numerator is bigger than the denominator, the fraction will be greater than 1.

8 0
3 years ago
The equation of line AB is (y-3)=5(x-4) what is the slope of a line perpendicular to line AB
Softa [21]
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
7 0
3 years ago
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