find the value of x if 5^2 ×5^x-5 =625​

Answers

Answer 1

Given:

[tex]5^2\times 5^{x-5}=625[/tex]

To find:

The value of x.

Solution:

We have,

[tex]5^2\times 5^{x-5}=625[/tex]

It can be written as

[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]

Using property of exponents, we get

[tex]5^{2+x-5}=5^4[/tex]            [tex][\because a^m\times a^n=a^{m+n}][/tex]

[tex]5^{x-3}=5^4[/tex]

Comparing the exponents on both sides, we get

[tex]x-3=4[/tex]

Adding 3 on both sides, we get

[tex]x=4+3[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.


Related Questions

Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected

mean , median, range or standard deviation

Answers

Answer:

mean for the the second median for the 1st one

Step-by-step explanation:

What fraction does Point A on the number line below represent?


A. 4/8
B. -4/8
C. 2/8
D. -2/8

Answers

Answer:

D

Step-by-step explanation:

There is 8 parts and its negative and its 2/8

Answer: The answer is D or 2/8

Step-by-step explanation:

PLS ANSWER AND IF YOUR DOING IT JUST FOR POINTS ILL HAUNT YOU IN YOUR NIGHTMARES

Answers

Answer:

132

Step-by-step explanation:

Answer: 132 lb

Step-by-step explanation:

Observe the pattern here:

20 lbs * 200 = 4000 ft

50 lbs * 200 = 10,000 ft

Notice the pattern here?

Each lb covers 200 ft.

You can use this same method to find the answer.

? * 200 = 26,400 ft

Dividing by 200 on both sides, you’ll find that the answer is 132 lb.

Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class? StartFraction 5 Over 9 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 5 Over 4 EndFraction StartFraction 9 Over 4 EndFraction

Answers

Answer: 4/5 (B)

Step-by-step explanation:

The ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

To determine the ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class

Here the number of students who prefer soccer = 20

The total number of students in Arturo’s class = 20 + 16 = 36

According to the given situation, the required ratio is written as:

The required ratio = students who prefer soccer / total number of students

The required ratio = 20 / 36

Convert the above fraction into the simplest form

The required ratio = 5/9

Therefore, the ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class

Learn more about the Ratios here:

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PLEASEEE HELPPP IS IT PROPORTIONAL OR NO.... oh and give me a reason pleaseee

Answers

Answer:

propotional

Step-by-step explanation:

Okie so I’m gonna go get w

What is the fractional form for point A? Options: -3/4 -1/4 1/4 7/8
What is the approximate decimal form for point B? Options: 1.2 1.16 -1.16 0.857

Answers

Answer: A -3/4

B 1.6

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

just did the quizz good luck <3

17. Ms Steele is building a circular fountain, on the diagram 2 centimeters is equal to 5 feet. If
the diameter is 12 centimeters. What is the area of the actual fountain? Do you have to
convert first or last

Answers

Answer:

George Washingmachine

Step-by-step explanation:

Answer:

[tex]706.858[/tex] [tex]ft^{2}[/tex] ([tex]3[/tex] d.p)

Step-by-step explanation:

Convert first:

[tex]12 \div 2 = 6[/tex]

[tex]6 \times 5 = 30[/tex] [tex]ft[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

[tex]= \pi (30\times \frac{1}{2})^{2}[/tex]

[tex]= 225\pi[/tex]

[tex]= 706.858[/tex] [tex]ft^{2}[/tex]([tex]3[/tex] d.p)

Hope this helps :)

Conclusions from data - confidence intervals and margins of error
right answers only!

Answers

Answer:

Is Something supposed to be attached?

Step-by-step explanation:

WILL MARK BRAINLIEST
One number is 0.9 of another number. Their sum is 0.038. Find each number.

Answers

Answer: .018 and .02

Step-by-step explanation:

X=.9Y

X+Y=.038

X=.9Y

X=-Y+.038

-Y+.038=.9Y

-1.9Y=-.038

Y=.02

X+.02=.038

X=.018

Could you guys help me solve 9 I would appreciate it :)

Answers

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

Please help I'm super stuck :(

Answers

Answer:

48.3

Step-by-step explanation:

bc =9)4

b=9

c=4       sooo 9x4=36 anddd 36+12.3=48.3. :P

Answer:

48.3 is the answer.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

Essentially, you are just multiplying and adding.

When it says b = 9 and c = 4, that is representing the variables. Just think of the variables as x and y (which are normally used as variables).

So, in the equation, we see that b and c are together, meaning that they need to be multiplied. When we plug in the values for those variables, we see that the equation now says:

9 * 4 + 12.3 =

Now, we just multiply 9 by 4, and add 12.3.

36 + 12.3 =

48.3

This means that the equation bc + 12.3 is equal to 48.3.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?
(I mark Brainlist)

A. y = 9.5x + 22.5
B. y =22.5 + 9.5
C. y = 9.5x - 22.5
D. y = 22.5x - 9.5

Answers

Answer:

C or A

Step-by-step explanation:

I think that it is most likely C but you could try A to

I need help ASAP plz

Answers

Answer:

With what?

Step-by-step explanation:

Answer:

cant help uoi b1t ch

Step-by-step explanation:

PLEASE HELP ASAP I AM BEGGING YOU I NEED THIS ANSWER NOW!!!!!!!!!!!!!!!!!!!

please help me i don't understand this and i kind of need to for the test sooooo PLEASE HELP MEEEEE

Answers

Answer:

lol

Step-by-step explanation:

do you go to meridian

Answer:

i gotchuuu

Step-by-step explanation:

the answer is 118w of just 118

if u got What sApp I can explain it more on there if u want but that's the only thing I have so u might wanna get it if u want me to help u

(x) = 3x + 5, what is the value of f (5)?

Answers

Answer:

the answer is 20 .put the 5 in place of x                                                                          

and u always remember that f(5) =f(x)

Step-by-step explanation:

Please help! Will mark brainiest what’s the domain of H?

Answers

Answer:

Domain: (-5,5)

Step-by-step explanation:

-5 < x < 5 (of course the inequality signs are equal to as well)

Someone PLZ help me plz :

Answers

Answer:

2/8

Step-by-step explanation:

hi

Answer:

1/8

Step-by-step explanation:

when adding or subtracting fractions, we will always want the denominators to be the same.

so

We multiply the denominator 4 by 2 so we get an equal denominator of 8.

3/8 - 2/8

and we subtract numerators which will give us:

1/8

Nine people decide to share 2/5 of a pound of popcorn equally. What fraction of the popcorn will
cach person receive?

Answers

Answer: 18/5

Step-by-step explanation: 9/1 • 2/5 = 3.6=18/5

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

Just like you would divide 18 pounds of popcorn by 9 people, you should divide [tex]\frac{2}{5}[/tex] by nine. This will result in [tex]\frac{2}{5}[/tex] x  [tex]\frac{1}{9}[/tex] and that equals [tex]\frac{2}{45}[/tex].

Please mark brainliest. Thanks!!!

Multiply:
x (x^2+2x+4) and -2 (x^2+2x+4)

Combine like terms.

Final Answer:

Answers

Answer:

x^3-8

Step-by-step explanation:

x^3+2x^2+4x + -2x^2-4x-8

+2x^2 and -2x^2 cancel out

+4x and -4x cancel out

John is about to take a 75-item multiple-choice test. If he finishes an average
of 5 items every 3 minutes, how long will it take him to complete the test?
1. 15 minutes
2. 25 minutes
3. 45 minutes
4. 60 minutes

Answers

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.


Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5

Answers

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1

UGHHHHHH HELPPP!!!!!!!! The sum of a number and 3 more than twice the number is less than 36. Find the number! ANSWER QUICKLYYYY

Answers

Step-by-step explanation:

Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"

The body mass of a bird?
A) categorical
B)Discrete
C)continuous

Answers

Answer:

Categorical

Step-by-step explanation:

Please help Algebra 1

Answers

Answer:

D

Step-by-step explanation:

If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?

Answers

Answer:

275 m/s2

Step-by-step explanation:

I know because I had this question in a test and got it correct.

Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².

What is force?

A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.

From Newton's Second Law, force is expressed as;

F = m × a

Where is mass of object and a is the acceleration

Given the data in the question;

Mass of the rock m = 55000kgForce F = 200N = 200kgm/s²Acceleration a = ?

We substitute our given values into the expression above.

200kgm/s² = 55000kg × a

a = 200kgm/s² ÷ 55000kg

F = 0.0036m/s²

Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².

Learn more about force here: brainly.com/question/27196358

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Please may someone help me with this question thank you

Answers

Answer:

C. [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

To find the slope when you know two points, use this formula:

M = y₂ - y₁ ÷ x₂ - x₁

M = (4 - (-8)) ÷ (0 - (-7))

M = 12 ÷ 7

M = [tex]\frac{12}{7}[/tex]

Hope that helps.

what is 325 x 6 for middle school 5th grade math

Answers

Answer:

Step-by-step explanation:

1950

Answer:

1,950

Step-by-step explanation:

I plugged the numbers into a calculator but you can also do it the long way by multiplying 6 to each part of 325.

What is the value of -3+(-4+7)(2)?
O-28
O-3
O3
O 15

Answers

Answer:

Step-by-step explanation:

Option C 3 is the correct answer

Answer:

3

Step-by-step explanation:

1. Simplify -4 + 7 to 3.

-3 + 3 × 2

2.  Simplify 3 × 2 to 6.

−3 + 6

3. Simplify.

3

A football game in 60 minutes. There are 3:25 minutes left on the clock in the 3rd quarter. How many minutes and seconds have been played?

Answers

Answer:

11:35

Step-by-step explanation:

At the King School, 55% of the students take a bus to school. If 220 students take a bus to school, how many students are there in total?

Answers

Answer:

400 student

55/100 * x(unknown) = 220

55x/100 =220

CROSS MULTIPLY

55X = 22000

X = 22000/55

X = 400

The total number of students at the King School is 440.

Given that, at the King School, 55% of the students take a bus to school.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of students be x

So, 55% of x =220

⇒ 55/10 ×x=220

⇒ 0.55x=220

⇒ x=220/0.55

⇒ x=440

Therefore, the total number of students at the King School is 440.

To learn more about the percentage visit:

brainly.com/question/24159063.

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