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3 years ago

Apply the distributive property to create an equivalent expression. 1/5(15+10k)

Mathematics

2 answers:

lara [203]3 years ago

7 0

3 + 2k

This is because multiplying by 1/5 is like dividing each term by 5

horrorfan [7]3 years ago

7 0

Answer: Equivalent expression is 3+2k.

Step-by-step explanation:

Since we have given that

$\dfrac{1}{5}(15+10k)$

As we have to use "Distributive property":

$a\times (b+c)=a\times b+a\times c$

So, it becomes

$\dfrac{1}{5}(15+10k)\\\\=\dfrac{1}{5}\times 15+\dfrac{1}{5}\times 10k\\\\=\dfrac{15}{5}+\dfrac{10k}{5}\\\\=3+2k$

Hence, equivalent expression is 3+2k.

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If f(6) if f(x)=x^2 / 3 + x

MakcuM [25]

Answer:

1) If the function is $f(x)=\frac{x^{2}}{(3+x)}$ , $f(6)=4$

2) If the function is $f(x)=x^{(2/3)}+x$ , $f(6)=9.30$

3) If the function is $f(x)=\frac{x^{2}}{3}+x$ , $f(6)=18$

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

f(6) means that you must substitute x=6 into the function above.

1. If the given the function $f(x)=\frac{x^{2}}{(3+x)}$ , you obtain:

$f(6)=\frac{6^{2}}{(3+6)}=4$

2. If the function is $f(x)=x^{(2/3)}+x$

Then:

$f(6)=6^{(2/3)}+6=9.30$

3. If the function is $f(x)=\frac{x^{2}}{3}+x$

Then:

$f(6)=\frac{6^{2}}{3}+6=18$

6 0

3 years ago

Read 2 more answers

If Dante spins the spinner below 75 times, how many times should he expect it to land on "U"?

Fed [463]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; So, I will solve making assumptions

$Spinner = 10\ segments$

$U = 1$

$n=75$

Required

Number of times to land on U

First, calculate the theoretical probability of U

$Pr(U) = \frac{U}{Spinner}$

$Pr(U) = \frac{1}{10}$

The expected number (E) of time to land on U is then calculated as:

$E = Pr(U) * n$

$E = \frac{1}{10} * 75$

$E = 0.10 * 75$

$E = 7.5$

Approximate

$E = 8$

8 times

Follow the above steps, and you will arrive at your answer

3 0

2 years ago

Construct the confidence interval for the population mean. c=. 95 x=6. 4 o=. 3 and n=42.

Damm [24]

The confidence interval is (63.909, 64.0907).

The confidence interval of a population mean is found using the formula:

CI = x ± z(σ/√n), where CI is the confidence interval, x is the mean, z is the z-score corresponding to the confidence level, σ is the standard deviation, and n is the population size.

In the question, we are given the confidence level, c = 95%.

Z-score corresponding to this, z = 1.96.

The mean of the population, x = 6.4.

The standard deviation of the population, σ = 0.3.

The population size, n = 42.

Thus, using the formula, the confidence interval is:

CI = 6.4 ± 1.96(0.3/√42),

or, CI = 6.4 ± 0.09073037.

Thus, the confidence interval is (64 - 0.09073037, 64 + 0.09073037), or, (63.909, 64.0907).

Learn more about the confidence interval at

brainly.com/question/17097944

#SPJ4

3 0

2 years ago

20. In the image, ABC has measure 58°. What is the measure of ABD?

PolarNik [594]

Answer:

Option B, 29°

Step-by-step explanation:

The diagram is a angle bisecting diagram which divides the 58° angle into two 29° angles.

Answered by GAUTHMATH

3 0

2 years ago

Read 2 more answers

Write as a mathematical equation. The product of 5 and x is 25.

pickupchik [31]

answer:

5x=25

Divide 5 from both sides

5x/5=25/5

x=5

4 0

3 years ago