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tensa zangetsu [6.8K]
3 years ago
15

Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

Answer: 17/60 = 0.283333333333

25/60 = 0.416666666667

54/72 = 0.75

31/44 = 0.704545454545

Step-by-step explanation:

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I need the answers plz
garik1379 [7]

Answer:

These problems are an example of equations with two unknowns. The way these equations are solved is that we write these equations one under the another.

If both equations have, such is the case here, same parts, we can simply cancel the same parts out and subtract the rest of equatuons. That way, we are left with only one unknown (the other one was eliminated), which makes it easy to solve.

After we have found the value of an unknown, we just plug it back into any of the starting equations and solve for the second unknown.

2. Adult ticket costs $12 and child ticket costs $14.

3. Adult ticket costs $10 and child ticket costs $5.

4. One daylily costs $9 and one bush of ornamental grass costs $2.

5. A van can carry 15 and a bus can carry 56 students.

Step-by-step explanation:

2. If we mark the price of one adult ticket with x and the price of one child ticket with y, we get that:

- first day: 7x + 12y = $252

- second day: 7x + 10y = $224

Now, we can make a system:

7x + 12y = 252

7x + 10y = 224

We can now subtract these two equations and 7x will cancel out, so we get:

12y - 10y = 252 - 224

2y = 28

y = 14

Now, we can plug the value of y into any of the two equations:

7x + 10y = 224

7x + 140 = 224

7x = 84

x = 12

3. Similarly, if we mark the price of one adult ticket with x and the price of one child tickey with y, we'll get a system:

x + 12y = 70

x + 9y = 55

Again, if we subtract these two, x will cancel out, so we have:

12y - 9y = 70 - 55

3y = 15

y = 5

Now, we plug the value of y into any of the two equations, and we get:

x + 9y = 55

x + 45 = 55

x = 10

4. Using the same principle, we can mark the price of one daylily with x and the price of one bunch of ornamental grass with y, we'll get a system:

12x + 11y = 130

12x + 12y = 132

Again, we subtract so that 12x cancel out and we get:

11y - 12y = 130 - 132

-y = -2

If we get minuses on both sides, we can simply multiply both sides with -1 and we get:

y = 2

Again, we plug y:

12x + 12y = 132

12x + 24 = 132

12x = 108

x = 9

5. If we mark number of students in a van with x and the number of students in a bus with y, we get a system:

2x + 12y = 702

2x + y = 86

As you've probably already noticed the pattern, we subtract equations and cancel 2x out to get:

12y - y = 702 - 86

11y = 616

y = 56

Once again, we plug the value of y into any equation:

2x + y = 86

2x + 56 = 86

2x = 30

x = 15

4 0
3 years ago
Solve the equation. <br> -4/3(9-2k)=1/2(1/3k+1)
zmey [24]

Answer:

There is no solution.

8 0
3 years ago
Read 2 more answers
(60 + 10)<br> 130<br> Solve for a
forsale [732]

Answer:

Step-by-step explanation:

here you go mate'

step 1

(60 + 10)130  equation

step 2

(60 + 10)130  simplify with the brackets

step 3

130(70)  multiply the numbers

answer

9100

5 0
2 years ago
If y varies jointly with x and z and y=90 when x=2 and z=9, find x when y=105 and z=3
Inessa05 [86]

Answer:

Step-by-step explanation:

y & xz

y = kxz

k = y/xz

When y = 90, x = 2 and z = 9

k = 90/(2×9) = 10/2

k = 5

y = 5xz

When y = 105 and z = 3

105 = 5×3x

105 = 15x

x = 105/15

x = 7

3 0
3 years ago
9. Which property is illustrated by 6 x 5 = 5 x 6?
Ipatiy [6.2K]
Commutative property of multiplication(numbers)
8 0
3 years ago
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