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hoa [83]
3 years ago
15

What is the least common denominator of 7/10 and 4/9

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

7/10 = 63/90

4/9 = 40/90

Step-by-step explanation:

Rewriting input as fractions if necessary:

7/10, 4/9

For the denominators (10, 9) the least common multiple (LCM) is 90.

LCM(10, 9)

Therefore, the least common denominator (LCD) is 90.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

7/10 = 7/10 × 9/9 = 63/90

4/9 = 4/9 × 10/10 = 40/90

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Tristan has some dimes and some quarters. He has at least 20 coins worth at most $4.25 combined. If Tristan has 10 dimes, determ
Dovator [93]

Answer:

The maximum number of quarters that he could have is 13

Step-by-step explanation:

Let x represent the number of quarters he could have. If he has 10 dimes and has at least 20 coins, then

→ x + 10 >= 20

→ x >= 10    (1)

His coins worth at most $4.25. Also, it is known that 1 dollar is equal to 100 cents, 1 dime is equal to 10 cents and 1 quarter is equal to 25 cents.

→ (x * 25) + (10 * 10)  <= (4.25 * 100)

→ 25x  + 100 <= 425

→ 25x <= 325

→ x <= 13  (2)

If we combine the equation 1 and 2:

10 <= x <= 13

The maximum value of x is 13

7 0
3 years ago
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
Alchen [17]
<h3>Answer:  -3/4  (choice C)</h3>

==================================================

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

6 0
3 years ago
Factor the expression below x^2-64
Georgia [21]

Answer:

(x + 8) (x-8)

Step-by-step explanation:

x^2-64

Solve

a^2 - b^2 = (a+b) (a-b)

Where a = x , b = 8

(x + 8) (x-8)

6 0
3 years ago
The difference of m2 + n2 and m + n is<br>​
allsm [11]
Its just now (m + n) so it would be *4 since *2 + *2
3 0
3 years ago
13. If r + 9 = 42, does r +9-9=42 +9?<br> Why or why not?
Vladimir79 [104]

Answer:

no

Step-by-step explanation:

if u subtract negative nine from one side of the equation, in order to keep both sides of the equation equal, you must subtract 9 from the other side. moreover, if you subtract nine from one side and add 9 to the other, there will be a 9+9=18 difference in values of both sides

brainliest pls thanks

3 0
2 years ago
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