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slava [35]
3 years ago
8

45.67 × 32.58 but show your work

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
Solution: 

1. Set up the long multiplication.

2. Calculate 7 x 8, which is 56.
Since 56 is two-digit, we carry the first digit 5 to the next column.

3. Calculate 6 x 8, which is 48. Now add the carry digit of 5, which is 53.
Since 53 is two-digit, we carry the first digit 5 to the next column.

4. Calculate 5 x 8, which is 40. Now add the carry digit of 5, which is 45.
Since 45 is two-digit, we carry the first digit 4 to the next column. 

5. Calculate 4 x 8, which is 32. Now add the carry digit of 4, which is 36.
Since 36 is two-digit, we carry the first digit 3 to the next column. 

6. Bring down the carry digit of 3.

7. Calculate 7 x 5, which is 35.
Since 35 is two-digit, we carry the first digit 3 to the next column.

8. Calculate 6 x 5, which is 30. Now add the carry digit of 3, which is 33.
Since 33 is two-digit, we carry the first digit 3 to the next column.

9. Calculate 5 x 5, which is 25. Now add the carry digit of 3, which is 28.
Since 28 is two-digit, we carry the first digit 2 to the next column.

10. Calculate 4 x 5, which is 20. Now add the carry digit of 2, which is 22.
Since 22 is two-digit, we carry the first digit 2 to the next column.

11. Bring down the carry digit of 2.

12. Calculate 7 x 2, which is 14.
Since 14 is two-digit, we carry the first digit 1 to the next column.

13. Calculate 6 x 2, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.

14. Calculate 5 x 2, which is 10. Now add the carry digit of 1, which is 11.
Since 11 is two-digit, we carry the first digit 1 to the next column. 

15. Calculate 4 x 2, which is 8. Now add the carry digit of 1, which is 9.

16. Calculate 7 x 3, which is 21.
Since 21 is two-digit, we carry the first digit 2 to the next column.

17. Calculate 6 x 3, which is 18. Now add the carry digit of 2, which is 20.
Since 20 is two-digit, we carry the first digit 2 to the next column.

18. Calculate 5 x 3, which is 15. Now add the carry digit of 2, which is 17.
Since 17 is two-digit, we carry the first digit 1 to the next column. 

19. Calculate 4 x 3, which is 12. Now add the carry digit of 1, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.

20. Bring down the carry digit of 1.

21. Calculate 36536 + 228350 + 913400 + 13701000, which is 14879286

22. Place the decimal.
45.67 has 2 decimal places, and 32.58 has 2 decimal places.
Therefore, the answer should have 2 + 2 = 4 decimal places.

23. Therefore, 45.67 x 32.58 = 1487.9286.
1487.92861487.9286

Done!
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5 - 2 (a + 3b) / 2 = ? / ?
Semmy [17]

Answer:

(5-2a+6b)/2

Step-by-step explanation:

According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2

4 0
3 years ago
3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How
Morgarella [4.7K]

Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the <u>prime factorization</u> of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the <u>highest exponent</u> in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

7 0
3 years ago
there are 6 times as many dogs as cAts. if tje total number of dogs and cats is 21 how many dogs are tjrre
frez [133]
There are 18 dogs. You do 21/7.


5 0
3 years ago
Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.
alexgriva [62]
Recall that

|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

There are three cases to consider:

(1) When x+2, we have |x+2|=-(x+2) and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4

(2) When x+2\ge0 and x-2, we get |x+2|=x+2 and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)+(x+2)=4

(3) When x-2\ge0, we have |x+2|=x+2 and |x-2|=x-2, so

|x-2|+|x+2|=(x-2)+(x+2)=2x

So

|x-2|+|x+2|=\begin{cases}-2x-4&\text{if }x
4 0
3 years ago
What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) tru
Aloiza [94]

Answer: 1/10 or 0.1

Step-by-step explanation:

    -(-7 - 4x) = -2(3x - 4)

      7 + 4x = -6x + 8

   * subtract 7 from both sides

            4x = -6x + 1

   * Add 6x to both sides

           10 x = 1

   * Divide both sides by 10

             x = 1/10  or 0.10

8 0
3 years ago
Read 2 more answers
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