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Georgia [21]
3 years ago
12

What is -4/5 + 3/20 in simplest form

Mathematics
2 answers:
Helga [31]3 years ago
6 0
-4/5 = -16/20, so the new expression is (-16/20)+(3/20)
then, -16 + 3 is -13, so the solution is -13/20
olga2289 [7]3 years ago
5 0
-4/5 + 3/20 = 3/20 - 4/5

To subtract 2 fractions, they both need to have the same denominator.
Since 5 is one of the divisors of 20, we can just multiply the numerator and denominator of 4/5 by 4.
4/5 = (4*4) / (5*4) = 16/20

P.S. when the denominators of both fractions don't have any relation, you multiply the numerator and denominator of the first fraction by the denominator of the second, and the numerator and denominator of the second by the denominator of the first.

3/20 - 4/5 = 3/20 - 16/20

Now you just subtract the numerators:
3/20 - 16/20 = (3-16)/20 = -13/20

So -4/5 + 3/20 = -13/20

Hope this helps! :)
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A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

7y + 22z = 1416- - - - - - - - - - - 4

Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0
3 years ago
∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what i
notsponge [240]
<span>you're given both arcs, minor and major, or near and far arcs, all you need to do, is really plug them in</span>

3 0
3 years ago
Um help plz apprecate it
SpyIntel [72]

Answer:

4.35 / 100 = 0.0435

Step-by-step explanation:

We find it useful to convert 4.35% to decimal, because if you need to find 4.35% of any number, you can simply multiply that number with 0.0435.

8 0
3 years ago
Angel jogged around the park in 1 1/4 hr chris jogged same distance in 5/6 hrs how much longer did angel take then chris in hr??
QveST [7]
You will have to get the difference and get a common denominator but first combine the mixed number:
1 \:  \frac{1}{4}  -   \frac{5}{6}   =  \frac{5}{4}   -   \frac{5}{6} =  \frac{15}{12}   -   \frac{10}{12}
Then subtract the numbers
\frac{15}{12}  -  \frac{10}{12}  =  \frac{5}{12}
Angel took 5/12 hours longer than Chris
6 0
3 years ago
Write a single translation that is equivalent to T
andre [41]
I'm not positive what this is, but I think you want: 

<span>T (2-5),(-1+5) = T -3,4 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
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2 years ago
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