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3 years ago

After 25 years,Hema's age will become four times that of her present age.find Hema's present age?

2 answers:

6 0

Let Hema's present age be x years.
After 15 years,her age will be (x+15) year.
according to the question ,
4x=x+15
4x−x=15
3x=15
x=5
Hence,Hema's present age is 5 years.

WINSTONCH [101]3 years ago

3 0

Answer:

Step-by-step explanation:

We can make this into the equation 25 + x = 4x

we isolate the equation by subtracting x from 4x. (3x)

Therefore, 25 = 3x. Therefore, Hema is 8.

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This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

ElenaW [278]

Answer:

Each number is 2 to the power some integers.

Step-by-step explanation:

The pattern is 4,8,16,32,64,128.

It follows the exponent of 2.

4=2*2 = $2^{2}$

8=2*2*2= $2^{3}$

16= $2^{4}$

32 = $2^{5}$

64= $2^{6}$

128 = $2^{7}$

so, it is 2 to the power integers.

4 0

3 years ago

What is -14=k+9?

Basile [38]

Answer:

k = -23

Step-by-step explanation:

-14=k+9

Subtract 9 from each side

-14-9 = k+9-9

-23 = k

7 0

4 years ago

Read 2 more answers

For the data in the table, write an equation for the direct variation.

melisa1 [442]

The equation of direct variation is,

$\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}$

Substitute the values of y and x.

$\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}$

So, the obtained equation will be y=1.35(x).

Let's check with the values of x.

1) If x=4

$\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}$

2) If x=2

$\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}$

3) If x=-2

4 0

1 year ago

5(y + 3) = 5y + ____

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Biologists were studying the proportions of cats that had spotted markings on their fur in two populations of cats, C and F. An

alexandr1967 [171]

Answer:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

Step-by-step explanation:

p-value is the probability of observing a result which is at least as extreme as we calculated in our actual workings, assuming the Null hypothesis to be true.

The calculate p-value is 0.01. In the question statement we are given that the alternate hypothesis is:

"Population Proportions are not equal"

Since, Null and Alternate Hypothesis are negations of each other, the Null Hypothesis would be:

"Population Proportions are equal"

We assume the null hypothesis to be true, perform the tests on the sample and obtain a result.

The results we obtained is:

The sample difference is 0.62

Fitting all this data, in the definition of p value tell us that:

The probability of obtaining a sample difference of atleast 0.62 is 0.01, if the population proportions are same.

This matches with the option B. Therefore, the correct answer is:

If the proportions of all cats with spotted markings is the same for both populations, the probability of observing a sample difference of at least 0.62 is 0.01.

3 0

3 years ago

After 25 years,Hema's age will become four times that of her present age.find Hema's present age?​

After 25 years,Hema's age will become four times that of her present age.find Hema's present age?