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Reptile [31]
3 years ago
11

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Answer:

x = 50, y = 10

Step-by-step explanation:

\\(5x-100)+(x-20) = 180 => 6x = 300 => x = 50\\(3y)+(y+140) = 180 => 4y = 40 => y = 10

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How many passwords of 4 digits are there(a)if none of the digits can be repeated?(b)start with 5 and end in an even digit?
liraira [26]

Answer:

5040,56

Step-by-step explanation:

We have to construct pass words of 4 digits

a) None of the digits can be repeated

We have total digits as 0 to 9.

4 digits can be selected form these 10 in 10P4 ways (since order matters in numbers)

No of passwords = 10P4

= 10(9)(8)(7)\\=5040

b) start with 5 and end in even digit

Here we restrain the choices by putting conditions

I digit is compulsorily 5 and hence only one way

Last digit can be any one of 0,2,4,6,8 hence 5 ways

Once first and last selected remaining 2 digits can be selected from remaining 8 digits in 8P2 ways (order counts here)

=56

3 0
3 years ago
A half-dollar is worth 50 cents. how many half-dollar coins equal one doller
igomit [66]
If one is 50 cents, then to get to one dollar we need 2 of those. also, one dollar equals 100 cents, and 50+50=100, so then the answer would be that you need to have 2 coins of the half-dollar to get to 1 dollar. i hope that this  helps you, have a great day! =)
5 0
3 years ago
Read 2 more answers
Helen kulman is a secretary she earned $10.65 per hour she worked 38 hours last week what is her straight time pay
ivolga24 [154]

Answer:

404.7

Step-by-step explanation:

You multiply 10.65 by 38 to get 404.7

8 0
3 years ago
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Simplify (27-17)^2-80
artcher [175]

Answer:

-60

Step-by-step explanation:

7 0
2 years ago
Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees. In the diagram of ci
luda_lava [24]

Answer:

\angle m=90^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measurement of the external angle is the half-difference of the arches that comprise

so

\angle m=\frac{1}{2}(major\ arc\ LN-minor\ arc\ LN)

Remember that the sum of the major arc and a minor arc is equal to 360 degrees

we have

major\ arc\ LN=270^o ----> is given

so

minor\ arc\ LN=360^o-270^o=90^o

substitute the values

\angle m=\frac{1}{2}(270^o-90^o)=90^o

5 0
3 years ago
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