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Flauer [41]
3 years ago
8

If two friends invested in a ratio of 2:3 and earned a profit of Rs. 25,000 on their investments, then the smaller share of the

profit is
Mathematics
1 answer:
podryga [215]3 years ago
8 0
Sorry I just needed the points
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Which of the following shows the correct work and solution to the exponential equation 5x - 1=25
olga_2 [115]

We have the expression:

5^{x-1}=25

And we need to solve this for x.

Let's solve this expression and then see which of the options is the correct one.

The first step to solve this is that we need for the two sides of the equation to have the same base. (the number 5 on the left side is the base, so we need to also have a 5 as the base on the right side).

We do this by noting that:

25=5^2

We know that 25 is equal to 5 squared (because 5x5 is 25)

So the first step is to substitute 25 for 5 squared:

5^{x-1}=5^2

Since we have the same base on both sides (5), we follow the rule:

• If we have the same base on both sides of an equation, the exponents have to be equal

Thus, the second step to solve is to equal the exponents:

x-1=2

Finally, to solve this equation for x, we just need to add 1 to both sides to get rid of the -1 on the left side:

\begin{gathered} x-1+1=x=2+1 \\  \end{gathered}

And the third step is:

x=3

As we can see, these three steps are represented in the third option In which we get the same result of x=3.

Answer: x=3

8 0
1 year ago
A physiological psychologist has performed an experiment to determine if a particular drug, smartozine, affects maze learning in
Elis [28]

Answer:

The critical value of F for this situation is 2.975.

Step-by-step explanation:

A test is being performed to determine if a particular drug, smartozine, affects maze learning in rats.

The groups are divided as follows:

  • Three groups of 8 rats each are injected with one of three different doses of smartozine.
  • The fourth group of 6 rats is injected with a saline solution as a control.

So, there were in total <em>k</em> = 4 groups with <em>n</em> = 30 rats.

The significance level of the test is, <em>α</em> = 0.05.

Compute the critical value of <em>F</em> as follows:

F_{\alpha, (k-1, n-k)}=F_{0.05, (4-1, 30-4)}=F_{0.05, (3,26)}=2.975

*Use the <em>F</em>-table.

Thus, the critical value of F for this situation is 2.975.

5 0
3 years ago
jane paid $40 for an item after she received a 20% discount. janes friend says this means that the original price of the item is
olga55 [171]
48x0.2= $9.6
$48-9.6=$38.40 Her friend is incorrect. 
40/48 =0.83 or about 83% So, in this case she only got 17% off. :)
<span>Hope I helped </span>
3 0
3 years ago
88.83 is what percent of 21
Serjik [45]

88.83 / 21  =  4.23

4.23  is the same number as  423% .

8.23  is  <em>423%</em>  of  21.
6 0
3 years ago
Read 2 more answers
The area of Sahara desert is 7 times the area of the Gobi Desert. If the sum of their areas is 4,000,000 square miles, find the
ryzh [129]
X=area of Sahara.
y=area of the Gobi Desert.
We suggest this system equations:
x+y=4000000
x=7y
solve by susbstitution method.
(7y)+y=4,000,000
8y=4,000,000
y=4,000,000 / 8=500,000

x=7y
x=7(500,000)=3,500,000

The area of Sahara=3,500,00 miles².
The area of the Gobi Desert=500,000 miles²

To check:
Te sum of their areas is : 3,500,000 miles²+500,000 miles²=4,000,000 miles²
Te area of sahara (3,500,000 miles²) is 7 times the area of the Gobi Desert (7*500,000 miles²=3,500,000 miles²).
4 0
3 years ago
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