Question: What is 35 percent of 40?

Percentage solution with steps:

Step 1: Our output value is 40.

Step 2: We represent the unknown value with $x$x.

Step 3: From step 1 above,$40=100\%$40=100%.

Step 4: Similarly, $x=35\%$x=35%.

Step 5: This results in a pair of simple equations:

$40=100\%(1)$40=100%(1).

$x=35\%(2)$x=35%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have

$\frac{40}{x}=\frac{100\%}{35\%}$
40
x=
100%
35%

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{40}=\frac{35}{100}$
x
40=
35
100

$\Rightarrow x=14$⇒x=14

Therefore, $35\%$35% of $40$40 is $14$ B. 14%

5 0

3 years ago

A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.

Bumek [7]

Answer: 3 1/2

Step-by-step explanation:

Yes

5 0

2 years ago

Read 2 more answers

Which graph represents the function f(x)=5lnx?

anastassius [24]

Answer:

The first graph (top-left) is the correct graph.

Please, also check the attached graph.

Step-by-step explanation:

Given the function

$f\left(x\right)=5\:lnx$

First, we should determine the x and y-intercepts.

Determining the y-intercept:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

Thus,

substitute x = 0 in the function

y = lnx

y = ln(0)

y = undefined

Therefore, at x = 0, the value of y becomes undefined.

Hence, None is the y-intercept.

Determining the x-intercept:

We know that the value of the x-intercept can be determined by setting y = 0 and determining the corresponding value of x.

Thus,

substitute y = 0 in the function

0 = ln(x)

Flipe the equation

ln(x) = 0

Solve algorithm

ln(x) = 0

Take exponent of both sides

$\:e^{ln\left(x\right)}=e^0$

$x\:=e^0$

$x = 1$

Thus, the point of x-intercept is: (0, 1)

<u>Conclusion:</u>

Now, if we carefully check the graph options, we can easily figure out that the first graph (top-left) correctly displays the x and y-intercepts.

It is clear from the graph that:

at x = 0, y is heading towards -ve infinity.

at y = 0, x = 1

Therefore, the first graph (top-left) is the correct graph.

Please, also check the attached graph.

5 0

3 years ago