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2 years ago

A length of string is 42 1/2 inches long.

Mathematics

2 answers:

kkurt [141]2 years ago

8 0

Answer: 5 5/16 inches

Step-by-step explanation:

3 ways to get this.

1. Estimate. You know that 8 × 5 is 40, and 40 is close to 42. 40 ÷ 8 is 5

There is only one answer close to that so choose A.

2. Calculate. Change the numbers to a decimal and divide: 42.5 ÷ 8 = 5.3125

3 . Fraction multiplication and division: Make 42 1/2 into an "improper fraction"

and multiply. 85/2 × 1/8 = 85/16 Divide "old style" long division to get a remainder. 85 ÷ 16 = 5, remainder 5. Put the remainder 5 over the divisor 16 to end up with 5 5/16

agasfer [191]2 years ago

6 0

Answer:

5 5/16

Step-by-step explanation:

you just divide 42 1/2 by 8

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Write the first five terms of the geometric sequence in which a1=64 and the common ratio is 5/4

natita [175]

Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio $r$ . For example, we can say:

$a_2 = a_1 r$

$a_3 = a_2 r = (a_1 r)r = a_1 r^2$

We have $a_1 = 64$ . To find $a_2$ , let's multiply this term by $\frac{5}{4}$ :

$a_2 = 64 \cdot \frac{5}{4} = 80$

Now, let's use this to find all of our other terms:

$a_3 = 80 \cdot \frac{5}{4} = 100$

$a_4 = 100 \cdot \frac{5}{4} = 125$

$a_5 = 125 \cdot \frac{5}{4} = \frac{625}{4}$

Thus, our terms are 64, 80, 100, 125, and (625/4).

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2 years ago

If the numerator and denominator of the fraction is increased by 2an1 respectively; it becomes3/4 if the numerator and the denom

ipn [44]

Answer:

The fraction is $\frac{7}{1}$

Step-by-step explanation:

Let the numerator be x and denominator be y

So, Fraction = $\frac{x}{y}$

Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4

So, Fraction becomes : $\frac{x+2}{y+1}=\frac{3}{4}$

$4(x+2)=3(y+1)$

$4x+8=3y+3$

$4x-3y+5=0$ ----1

We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2

So, Fraction becomes : $\frac{x-2}{y-1}=\frac{1}{2}$

$2(x-2)=y-1$

$2x-4=y-1$

$2x-y-3=0$ ---- 2

Substitute the value of y from 2 in 1

$4x-3(2x-3)+5=0$

$4x-6x+9+5=0$

$14=2x$

$7=x$

Substitute the value of x in 2

$2(2)-y-3=0$

$4-3=y$

$1=y$

So, Fraction = $\frac{x}{y}=\frac{7}{1}$

Hence The fraction is $\frac{7}{1}$

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kompoz [17]

Answer:

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