A number to the 10th power divide by the same number to 7th power equals 27. What is the number ?

Answers

Answer 1
Final answer:

The number that, when raised to the 10th power and divided by the same number to the 7th power equals 27, is 3. This is resolved by simplifying the initial equation to realize that we are looking for the cube root of 27.

Explanation:

The question is asking for a number which, when raised to the 10th power and divided by the same number raised to the 7th power, equals 27. Let's denote the number as 'x'. The mathematical representation of this would be x10 / x7 = 27. Since x10 / x7 simplifies to x3, our equation becomes x3 = 27. Now if we solve this, the number 'x' equals the cube root of 27, which is 3.

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Related Questions

Write into an algebraic expression. Double the sum of 2 and x increased by one-half x squared.

Answers

Final answer:

The algebraic expression for 'Double the sum of 2 and x increased by one-half x squared' is 2(2 + x) + (1/2)x².

Explanation:

To translate the phrase 'Double the sum of 2 and x increased by one-half x squared' into an algebraic expression, we break it down into parts:

The sum of 2 and x is given by the expression (2 + x).

Double this sum can be written as 2(2 + x).

One-half x squared is written as (1/2)x².

Increasing the doubled sum by one-half x squared means adding (1/2)x² to it.

Therefore, the complete algebraic expression is 2(2 + x) + (1/2)x².

Regarding the concept of squaring of exponentials, remember that when you square a term like x², you are effectively raising x to the power of 4 because the exponents are multiplied.

*Simple math question* The eighth grade class at grade school has 15 girls and 14 boys. How many different boy-girl dates can be arranged?

Answers

The eighth grade class at grade school has 15 girls and 14 boys. The different boy-girl dates that can be arranged is 210 boy-girl.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The eighth grade class at grade school has 15 girls and 14 boys.

The different boy-girl dates can be arranged

15 x 14 = 210

210 boy-girl

Hence, The different boy-girl dates that can be arranged is 210 boy-girl.

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To determine how many different boy-girl dates can be arranged from 15 girls and 14 boys, multiply the number of boys by the number of girls, leading to 210 different boy-girl dates.

The question asks how many different boy-girl dates can be arranged if an eighth-grade class has 15 girls and 14 boys. To solve this, we can use the concept of multiplication principle in combinations. Each boy in the class has the option to date any of the 15 girls. This means each of the 14 boys has 15 choices for who to date. Therefore, to calculate the total number of distinct boy-girl date arrangements, we multiply the number of boys by the number of girls they can potentially date.

Calculating: 14 boys × 15 girls = 210 different boy-girl dates can be arranged.

This simple calculation shows how combinations are used to determine possibilities in everyday scenarios, reinforcing the importance of basic arithmetic skills in problem-solving.

Which of these values could be the slope of the line? Check all that apply.
–2
-8/5
0
7/4
3
undefined

Answers

7/4, or 3
______________

Answer:

7/4  or 3

Step-by-step explanation:

To determine the slope of the line , we look at the position of the line

From the given graph , the line goes up

When line goes up , the slope is positive

when a line goes down , the slope is negative

If we have a vertical line then slope is undefined

For horizontal line the slope is 0

Here the line goes up, so slope is positive

We pick the slope from the given option that is positive

7/4  or 3

a total of 360 people came to the play. there were 100 more adults than children. how many adults and how many children came to the play?

Answers

130 children and 230 adults

john ran 6 2/3 miles last week he ran 1 1/3 miles each day how many days did he run

Answers

[tex]6\frac{2}{3} = \frac{3(6) + 2}{3} = \frac{20}{3} miles[/tex]

[tex]1\frac{1}{3} = \frac{3(1) + 1}{3} = \frac{4}{3} miles/day[/tex]

[tex]\frac{20}{3} miles[/tex] ÷ [tex]\frac{4}{3} miles/day[/tex]

= [tex]\frac{20(miles)}{3}[/tex] * [tex]\frac{3(days)}{4 (miles)}[/tex]

= [tex]\frac{20(3) days}{3(4)} = \frac{20 days}{4} = 5 days[/tex]

Answer: 5 days

By selling old CDs, Sarah has a store credit for $153. A new CD coat $18. What are the possible numbers of new CDs Sarah can buy? (Inequalities)

Answers

We can find the maximum number of CDs she can buy by dividing 153 by 18. The answer ends up being 8.5. Since she can't buy 0.5 of a CD, she can buy a maximum of 8 CDs. Written as an inequality, I think it should be x is less than or equal to 8. I hope this helps!

Liam has $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them.
How much money does Liam have left?
Write your answer as an expression.

Answers

Answer: The required expression will be

[tex]\frac{6000-p}{24}[/tex]

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on  present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

[tex]250-\frac{p}{24}\\\\=\frac{6000-p}{24}[/tex]

Hence, the required expression will be

[tex]\frac{6000-p}{24}[/tex]

Final answer:

To calculate how much money Liam has left, subtract the cost of the present from his initial amount of money. The expression that represents this is $250 - ($p/24).

Explanation:

To find out how much money Liam has left after buying the present, we need to subtract the cost of the present from the initial amount of money Liam had. The cost of the present can be calculated by dividing the total cost by the number of classmates, which is 24. So, the cost of the present is $p/24. Therefore, the expression that represents how much money Liam has left is:



$250 - ($p/24)

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How to do 15x28 distributive property

Answers

15 * 28 = 420. Should be your answer.

May you please help me with this question

Answers

The angle of cba is 3.408* if you wanna know

cba is 3.408 and just ask if you want to know how

A candle is 12 inches tall and burns at a rate of 1 inch per hour. Write an equation that you could use to determine how long it would take for the candle to be 2 inches tall.

Answers

one equation would be 12/2=6, so 6 hours.

Solve the inequality-2(6+s)_>-15-2s

Answers

Answer:

s can take any real value.

Step-by-step explanation:

Given that

-2(6+s)_>-15-2s

Distribute -2 over 6+s

-12-2s >= -15-2s

Simplify both the sides

Add 2s to both the sides.

We get 2s cancel out and -12>=-15 which is true.

Hence the given inequality is valid for all values of s.

This is a special case of inequality which has infinite number of solutions.

s can take any real number and this inequality is valid.

Answer:

Solution of inequality: -12 ≥ -15 Which is true.

Step-by-step explanation:

Given data:

Equation:-2(6+s)_>-15-2s

-2(6+s)_>-15-2s

=-12 - 2s ≥ - 15 -2s

By dividing -2s on both sides:

= -12 - 2s/-2s ≥ - 15 -2s/-2s

= -12 ≥ -15

                                                  -2(6+s)_>-15-2s =  -12 ≥ -15


Tommy has a piece of toast that has butter on one side, and he dropped it twice. Both times, it landed with the butter side up. If he drops it 2 more times, what is the probability that it will have landed butter side up a total of 3 times?

Answers

Answer: 1/2.


Explanation:


First, note that since the previous drops have already happened, their result do not modify the occurrence of future results when the toast is dropped again.


In oder to have a total of three time landing butter side up, exactly, there are two possibilities:


Either the first next drop lands butter side up and the second next drop lands butter side down, or
The first next drop lands butter side down and the second next drop lands butter side up.

Since there are two ways of totaling side up 3 times, you have to sum both chances.


1) Next drop butter side up and second drop butter side down:

     1/2 × 1/2  = 1/4


2) Next drop butter side down and second one butter side up:

     1/2 × 1/2 = 1/4

   

3) Add both probabilities: 1/4 + 1/4 = 1/2


And that is the answer: 1/2


Galera preciso resolver essa questão é não sei como resolvê-la me ajudem por favor

Answers

Calculate f(3) by replacing X with 3:

f(x) = x^2 -1

f(3) = 3^2 -1

F(3) = 9-1

f(3) = 8

Now calculate f(-4) by replacing x with -4:


f(x) = x^2 -1

f(-4) = (-4)^2 - 1

f(-4) = 16 -1

f(-4) = 15


Now add f(3) to f(-4)

8 + 15 = 23


The answer is a) 23


How can I do this ???? Plz help

Answers

Change all of the fractions to common denominators. So, 2/3 would become 4/6 and 1/6 stays the same. Now plot everything by 6ths. Ex. 1/6, 2/6, 3/6...
You walk 1/2 of a mile more than your friend . You find this out by subtracting how far you go from how far your friend goes but you have to have a common denominator so you multiply your denominator by 2 to get 6 and then you must multiply to the top what you multiplied for he bottom so you get 4/6. 4/6-1/6 gives you 3/6 which simplifies to 1/2

help please, I'm having so much trouble! It's quite easy!

Answers

This would be your answer

If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park

Answers

The area of the park is 2.45 acres.

The area of a park is determined to be exactly halfway between 2.4 acres and 2.5 acres. To find this midpoint or average, we add the two values together and then divide by 2.

First, we add 2.4 acres and 2.5 acres:

2.4 acres + 2.5 acres = 4.9 acres

Now, we divide this sum by 2 to find the midpoint:

Midpoint = 4.9 acres / 2 = 2.45 acres

Therefore, the area of the park is 2.45 acres. This means that it is precisely halfway between the two given values.

Understanding the midpoint or average is essential in various contexts, such as real estate, land measurement, and statistical analysis. In this case, it signifies that the park occupies an area that is equidistant from 2.4 acres and 2.5 acres. It can be seen as a balanced point between these two values, serving as a useful concept for situations where precision or fairness is required, such as in property assessments or distributing resources evenly.

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how can one logically explain the distance formula?

Answers

You are measuring the distance between two points on a grid. To do this you are basically using Pythagorean theorem (A^2 + B^2 = C^2) and then square rooting it in the end. It’s all the steps in one formula

Final answer:

The distance formula calculates the straight-line distance between two points on a coordinate plane using the Pythagorean theorem, which is applied to the differences in the x and y coordinates of the points to form a right triangle.

Explanation:

Explaining the Distance Formula

The distance formula is a way to calculate the straight-line distance between two points in a coordinate plane. This formula is derived from the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In other words, a² + b² = c².

To understand the distance formula, consider two points (x1, y1) and (x2, y2) on a coordinate plane. The difference in the x values (x2 - x1) and the y values (y2 - y1) represent the lengths of the legs of a right triangle, where the straight-line distance we are trying to find is the hypotenuse. Thus, by the Pythagorean theorem, the distance (d) can be found by taking the square root of the sum of the squares of these differences. The resulting distance formula is d = √((x2 - x1)² + (y2 - y1)²).

The distance formula logically extends the Pythagorean theorem to two-dimensional space, where distances on the plane are calculated irrespective of the orientation or position of the line connecting the two points.

A swimming pool is 50 meters long. How many times would a swimmer have to swim the length of the pool in order to swim 1 kilometer?

Answers

one lap is .05 km so it will take 20 laps


what is a fraction equation that equals 4

Answers

16/4 could be reduced to 4

Any fraction that, when dividing the numerator and denominator, it'll give you 4.

For example:

8/2, which, when divided: 8/2 = 4

16/4, which, when divided: 16/4 = 4

hope this helps

~Rise Above the Ordinary

what is the answer to n-2 = 10n+4/2

Answers

n = -4/9 hope this helps

n-2=10n+4/2

We move all terms to the left:

n-2-(10n+4/2)=0

We add all the numbers together, and all the variables

n-(10n+2)-2=0

We get rid of parentheses

n-10n-2-2=0

We add all the numbers together, and all the variables

-9n-4=0

We move all terms containing n to the left, all other terms to the right

-9n=4

n=4/-9

n=-4/9


Olivia purchased x child tickets and y adult tickets at the movies. She spent a total of $46. The equation below describes the relationship between the number of child tickets and the number of adult tickets purchased. The ordered pair (4, 2) is the solution to the equation. What does the solution (4, 2) represent?

Answers

Let

x---------> the number of child tickets

y--------> the number of adult tickets

we know that

the equation that describes the relationship between the number of child tickets and the number of adult tickets  is a linear equation

If the point[tex](4,2)[/tex] is the solution

then

the number of child tickets is [tex]4[/tex]

the number of adult tickets is [tex]2[/tex]

therefore

the answer is

the  solution [tex](4,2)[/tex] represent that

the number of child tickets is [tex]4[/tex]

the number of adult tickets is [tex]2[/tex]

The solution (4, 2) means Olivia purchased 4 child tickets and 2 adult tickets at the movies for a total of $46.

The student's question involves interpreting the solution to a linear equation in the context of purchasing movie tickets. The specific solution given is the ordered pair (4, 2). In the context of the problem described, the number '4' represents the quantity 'x', which is the number of child tickets purchased, and the number '2' represents the quantity 'y', which is the number of adult tickets purchased. Therefore, the solution (4, 2) means that Olivia purchased 4 child tickets and 2 adult tickets at the movies for a total expenditure of $46.

For each scenario, identify the independent and dependent variable.
1.Spending time petting an animal for an hour decreases stress levels by 10%.
2.The population of field mice doubles each hour.
3.The height of an elevator increases 10 feet for each floor it ascends.

Answers

how should anyone know this


Answer:

The independent variable is the time spent petting an animal, and the dependent variable is the stress level.

The independent variable is time, and the dependent variable is the population of field mice.

The independent variable is the number of floors ascended, and the dependent variable is the height of the elevator.

Find the midpoint. Please and thanks.

Answers

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have:

[tex]M(-6,\ 8)\to x_M=-6,\ y_M=8\\A(-2,\ 10)\to x_A=-2,\ y_A=10[/tex]

Substitute:

[tex]\dfrac{-2+x_B}{2}=-6\qquad|\cdot2\\\\-2+x_B=-12\qquad|+2\\\\x_B=-10\\\\\dfrac{10+y_B}{2}=8\qquad|\cdot2\\\\10+y_B=16\qquad|-10\\\\y_B=6[/tex]

Answer: B. (-10, 6)

Toya can run one lap of the track on 1 minute 3 seconds, which is 90% of her younger sister niki’s time. What is niki’s time for one lap of the track?

Answers

63 seconds is 90% of Niki's time for one lap. So, Niki's time for one lap is 63/0.9, which equals 70 seconds or 1 min. 10 seconds.

Determine the equation of the line given by the graph.

A) y = 5/7 x − 2/3

B) y = 5/7 x − 3/2

C) y = 7/5 x − 2/3

D) y = 7/5 x − 3/2

Answers

A is the correct answer!!!

Find an equation of the line through (4,5) and parallel to y=3x+5.  

Answers

GIVEN: y = 3x + 5

--> slope of given line = 3

--> This means that your equation must have the same slope, or "m"

FORMULA OF A LINE: y = mx + b

--> Use point-slope form to find "b"

POINT SLOPE FORM: y - y₁ = m ( x - x₁ )

--> Plug in your given point AND the slope of the given line

y - 5 = 3 ( x - 4 )

y - 5 = 3x - 12

y = 3x - 7


ANSWER: y = 3x - 7

Jonathan went to the movies with$48 he earned at his after school job. The ticket cost $8.75. He spent $7.45 for refreshments. How much money did he have left

Answers

8.75+7.45=16.2. 16.2 is equal to $16.20 so 48.00-16.20=31.8. Jonathan had $31.80 left.

BRAINLIEST ANSWER TO FIRST ANSWERER

Which of the following are exterior angles? Check all that apply.
A. 5
B. 6
C. 2
D. 4
E. 1
F. 3

Answers

C. <2 is the correct answer

Kendra is making a large salad for a party. She buys lettuce for 2.25 per pound and tomatoes for 2.65 per pound. She spends at least $8. Let x represent the number of Linda of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys. Which inequality represents this situation ?

Answers

Answer:


Step-by-step explanation:

Kendra buys  x pounds lettuce.

If lettuce costs $2.25 per pound.

Then for x pounds of lettuce,

cost=2.25x


Kendra buys  y pounds tomatoes.

If tomatoes costs $2.65 per pound.

Then for y pounds of tomatoes,

cost=2.65y


So, total cost=2.25x+2.65y

Now, this total cost will be at least  $8

So, the inequality is-

[tex]2.25x+2.65y\geq8[/tex]

Final answer:

The problem can be represented by the inequality [tex]2.25x + 2.65y \geq 8[/tex] where x is the number of pounds of lettuce Kendra buys and y is the number of pounds of tomatoes she buys. The total cost of the vegetables equals or exceeds $8.

Explanation:

In this situation of buying lettuce and tomatoes, the cost of lettuce per pound is $2.25 and the cost of tomatoes per pound is $2.65. Kendra spends at least $8 on lettuce and tomatoes. Let x represent the number of pounds of lettuce that Kendra buys and let y represent the number of pounds of tomatoes that she buys. Understanding the problem, the inequality that represents this situation is

[tex]2.25x + 2.65y \geq 8[/tex]. This is because each pound of lettuce ('x') is multiplied by its cost, and each pound of tomatoes ('y') is multiplied by its cost. If Kendra spends at least $8, then the total cost equals or exceeds $8.

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the equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?

A. y= 1/3x-3
B. y=1/3x+9
C.y=1/3x-9
D. y=1/3x+3

Answers

y+6=1/3(x-9)

Moved all terms from left to right that doesn't contain y

Y=-6 +1/3x-3

Simplify

Y=1/3x-9


Your answer is c.

Answer: [tex]y=\dfrac{1}{3}x-9[/tex]

Step-by-step explanation:

The equation of a line in slope -intercept form is written as :-

[tex]y=mx+c[/tex]

The given equation : [tex]y+6=\dfrac{1}{3}(x-9)[/tex]

To write the given equation in slope - intercept form , we need to first solve the right -hand sides in the equation.

[tex]y+6=\dfrac{1}{3}(x-9)\\\\\Rightarrow\  [tex]y+6=\dfrac{1}{3}x-3\\\\\Rightarrow\ y=\dfrac{1}{3}x-3-6\\\\\Rightarrow\ y=\dfrac{1}{3}x-9[/tex]

Hence, the equation written in slope-intercept form :  [tex]y=\dfrac{1}{3}x-9[/tex]

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