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3 years ago

Explain how a number and it's reciprocal are related adding 28 ?

1 answer:

4 0

<span>Step 1. Let x be the number and 1/x be its reciprocal.

Step 2. Then, since the sum of a number and its reciprocal is 25/12.

Step 3. Multiply 12x to both sides of the equation to get rid of the denominators.

Step 4. Subtract 25x to put the equation in quadratic form </span>

You might be interested in

Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13

andriy [413]

$\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\$

$\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}$

4 0

3 years ago

A chemist is using 382 milliliters of a solution of acid and water. If 15.4% of the solution is acid, how many milliliters of ac

Elina [12.6K]

Answer:

58.8

Step-by-step explanation:

basic facts:

-15.4% is the same as 15.4/100

- the word 'of' in maths means times

so 15.4% of the 382ml is the same as

382*15.4/100

to do that, you multiply 382 by 15.4 = 5882.8

then you divide that by 100= 58.828

and then you just round that of to 58.8

8 0

3 years ago

Sally needs 2/3 of a pound of potatoes. This is 1/3 of a pound more than 4/3 of the potatoes Sally has in her pantry

amid [387]

Lets assume, Sally has X pound of potatoes in her pantry.

So, 4/3 of the potatoes Sally has in her pantry = $\frac{4}{3}X$

Now, Sally needs 2/3 pound of potatoes and this 2/3 pound of potatoes is 1/3 pound more than that $\frac{4}{3}X$

So the representing equation will be:

$\frac{2}{3} = \frac{1}{3}+ \frac{4}{3}X$

$\frac{2}{3} - \frac{1}{3} = \frac{4}{3} X$ (subtracting $\frac{1}{3}$ from both sides)

$\frac{1}{3}= \frac{4}{3}X$

$1= 4X$ (multiplying both sides by 3)

$X =\frac{1}{4}$

So, Sally has $\frac{1}{4}$ pound of potatoes in her pantry.

4 0

3 years ago

You borrowed $11,250 from the bank to buy a used car. You will pay the bank back in 5 years with 3.45% interest compounded annua

mihalych1998 [28]

Answer:

(D)$2079.23

Step-by-step explanation:

If I borrowed $11,250 from the bank to buy a used car. You will pay the bank back in 5 years with 3.45% interest compounded annually, then:

Principal=$11,250

Time=5 years

Rate=3.45%

Since it is compounded annually, our compound interest will be derived using this formula:

Interest=Amount at the end of 5 years - Principal

where:

Amount, $A=P(1+r)^n$

$=11250(1+0.0345)^5\\=11250(1.0345)^5\\=13329.23$

Therefore our Interest=13329.23-11250 =$2079.23

4 0

3 years ago

??Which is the following recursive formula???

g100num [7]

A1=2*5^(1-1)
a1=2,
ratio is 5
so correct answers is A

6 0

3 years ago