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2 years ago

13^5/13^x=13^4 Anyone know how to solve this?

Mathematics

1 answer:

puteri [66]2 years ago

4 0

$\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1$

ANSWER: x = 1

ok done. Thank to me :>

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How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that

Vikentia [17]

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

Ratio of height to shadow :: Ratio of height to shadow

$5:6::x:15\\$

Product of mean = Product of extreme

$6*x=15*5\\6x=75$

Dividing both sides by 6

$\frac{6x}{6}=\frac{75}{6}\\x=12.5$

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

8 0

3 years ago

Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53

Romashka [77]

Given:

The data set is:

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

To find:

The median of the given data set.

Solution:

We have,

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

Arrange the data values in ascending order.

40, 40, 47, 49, 50, 53, 55, 57, 63, 76

Here, the number of observations is 10 which is an even number. So, the median is:

$Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}$

Putting n=10, we get

$Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}$

$Median=\dfrac{5\text{th term}+6\text{th term}}{2}$

From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.

$Median=\dfrac{50+53}{2}$

$Median=\dfrac{103}{2}$

$Median=51.5$

Therefore, the median of the given data set is 51.5.

4 0

3 years ago

sally has 20 coins in her piggy bannk, all dimes and quarters. the total amount of money is $3.05. how many of each coin does sh

VMariaS [17]

D=dimes
q=quarters

d + q = 20
.10d + .25q = 3.05

d=-q + 20

.10(-q + 20) +.25q = 3.05
-.10q + 2 + .25 = 3.05
.15q + 2 = 3.05
.15q + 2 - 2 = 3.05 - 2
.15q = 1.05
.15q/.15 = 1.05/.15
q = 7

d + 7 = 20
d + 7 - 7 = 20 - 7
d = 13

Sally has 7 quarters and 13 dimes.
Hope this helps!

5 0

3 years ago

What is 0.33 as a fraction in simplest form

boyakko [2]

1/3 would be your answer

8 0

3 years ago

Read 2 more answers

STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being m

ELEN [110]

From an absolute value inequality, we have that:

The minimum diameter is 6.46 mm.
The maximum diameter is 6.54 mm.

The absolute value measures the <u>distance of a point or a function to the origin</u>.

One example of inequality is:

$|f(x)| \leq a$

Which has solution:

$-a \leq f(x) \leq a$

In this problem:

Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the <u>absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04</u>, that is:

$|D - 6.5| \leq 0.04$