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2 years ago

Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?

Mathematics

1 answer:

zimovet [89]2 years ago

3 0

Answer:

Step-by-step explanation:

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

Factor each number into it's primes.

24 = 2*2*2*3

32 = 2*2*2*2*2

The highest common factor is 2*2*2 = 8

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2

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Find the gain percent in the following: Cost Price Rs 280, (a) Selling Price Rs 290

Nikolay [14]

Answer:

3.57

Step-by-step explanation:

P=SP -CP

=290-280=10

P%= $\frac{P*100}{CP}$

= $\frac{10*100}{280}$

= $\frac{1000}{280}$

=3.57

4 0

2 years ago

The weight that can be safely supported by a 2- by6-inch support beam varies inversely with its length. A builder finds that a

maw [93]

800/6=x/16 6x=12800 divide and get 2133 1/3

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2 years ago

If x + 4 = y, then x + 12 =

GrogVix [38]

If x+4=y, then x+12=3y because 4 (3)=12

6 0

2 years ago

Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups

Harrizon [31]

Answer:

Each mixture has the same amount of salt for every 1 cup of water.

Step-by-step explanation:

It is provided that:

Nia mixed 1 teaspoon salt with 3 cups warm water.
Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.

The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.

On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

$\text{Salt}: 1\div3=\frac{1}{3}\\\\\text{Water}:3\div3=1\\$

Thus 1 : 3 is equivalent to the ratio $\frac{1}{3}:1$ , which means that Nia's solution has $\frac{1}{3}$ teaspoon of salt for every cup of water.

The ratio of the number of teaspoons of salt to the number of cups of water is $\frac{1}{2}:1\frac{1}{2}$ in Trey’s solution.

On dividing the amount of salt and the amount of water by $1\frac{1}{2}$ , the ratio will be the same.

$\text{salt}:\frac{1}{2}\div 1\frac{1}{2}=\frac{1}{3}\\\\\text{Water}:1\frac{1}{2}\div1\frac{1}{2}=1$

So Trey’s ratio is also equal to the ratio $\frac{1}{3}:1$ .

Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.

4 0

2 years ago

Find a formula for value of V, an investment ($), initially worth $16000 that grows 12% every 7 years

katovenus [111]

The amount an investment of 16000 grows over 7 years is 16000*0.12 (i.e., 12% of 16000). So, the total amount after 7 years is 16000 + 16000*0.12, which is the same as writing 16000*1.12. Now, continue the same argument: the amount we now have 16000*1.12 grows after another 7 years to (16000*1.12)*1.12. Third 7-year period, again, (16000*1.12*1.12*)*1.12, and so on. As you can already see the number of periods shows up as the number of factors 1.12 multiplied here. A shorthand for writing that is to use the exponent, like this $16000\cdot 1.12^3$ .

Generalizing to n 7-year periods yields a formula:

$V = 16000\cdot 1.12^n$

5 0

2 years ago