What times 3 equals 4?

3252614683754629158741032465x93756356872264881+432757232878247-3243566=

Paul [167]

Answer:

bout 7

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the value of 2 to the power of 4 plus 3 to the power of 2-5

vitfil [10]

The Answer is 20. Just take my word for it its 20

3 0

3 years ago

Read 2 more answers

One number is 4 times another number. The sum of their reciprocals is 5. What are the two numbers?

ivann1987 [24]

Answer:

The two number are:

$y=1,\:x=\frac{1}{4}$

Step-by-step explanation:

Let 'x' be the first number

let 'y' be the second number

Given that one number is 4 times another number, the first equation is

$y = 4x$

Next, the sum of their reciprocals is 5, so

$\frac{1}{x}+\frac{1}{y}=5$

Now, we have the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

Let us solve the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

substitute y = 4x in the equation $\frac{1}{x}+\frac{1}{y}=5$

$\frac{1}{x}+\frac{1}{4x}=5$

Least Common Multiple of x, 4x: 4x

Adjust fractions based on L.C.M

$\frac{4}{4x}+\frac{1}{4x}=5$

$\frac{4+1}{4x}=5$

$\:\frac{5}{4x}=5$

Multiply both sides by 4x

$\frac{5}{4x}\cdot \:4x=5\cdot \:4x$

Simplify

$5=20x$

switch sides

$20x=5$

Divide both sides by 20

$\frac{20x}{20}=\frac{5}{20}$

Simplify

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

For y = 4x, substitute $x=\frac{1}{4}$

$y = 4x$

$y=4\cdot \frac{1}{4}$

$y=1$

Therefore, the two number are:

$y=1,\:x=\frac{1}{4}$

<u>Verification:</u>

$\frac{1}{x}+\frac{1}{y}=5$

substituting $y=1,\:x=\frac{1}{4}$

$\:\frac{1}{\frac{1}{4}}+\frac{1}{1}=\:5\:\:$

$4+1=5$

$5 = 5$

L.H.S = R.H.S

and

$y = 4x$

substituting $y=1,\:x=\frac{1}{4}$

$y\:=\:4\left(\frac{1}{4}\right)$

$y=1$

8 0

3 years ago

Julio is paid 1.4 times hiş normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35 hours and

Kisachek [45]

Answer:

Julio is paid 1.4 times his normal hourly rate for every excess hour he works in a week.

last week he worked 35 hours and got 436.60 dollars.

We need to find an equation so we can be able to solve Julio’s earnings:

=> Let X be the value of Julio’s rate

=> 30 * X + 5 x 1.4x = 436.6

=> 30x + 7x = 436.6

=> 37x = 436.6

=> 37x / 37 = 436.6 / 37

=> x = 11.8

Thus the original rate of Julio is 11.8 dollars

=> 1.4 x 11.8 = 16.52 dollars, the rate of Julio with added rate

=> 30 x 11.8 + 5 x 16.52

=> 354 + 82.6

=> 436.6

Step-by-step explanation:

4 0

3 years ago

Why are halves a good choice for benchmark fractions for 1 1/3

VARVARA [1.3K]

Answer:

Following are the answer to this question:

Step-by-step explanation:

For calculating, matching, or arranging certain fractions, the benchmark fraction can be described as common fractions, that can be calculated or judged. It is most useful when measuring fractions to comparisons in a number line.

Given value:

$\to 1 \frac{1}{3}$ $= 1+\frac{1}{3} \\$

$= 1+ \frac{1}{6}+\frac{1}{6}\\$

3 0

3 years ago