Find the value of x that makes this a true statement (1/27)^x=3

Answers

Answer 1

Answer:

x = -1/3

Step-by-step explanation:

Given

(1/27)^x=3

Solving for x

(1/27)^x=3(1/3)^3x = 33^-3x = 3^1-3x = 1x = -1/3

Related Questions

I NEED HELP!!! with number 6, & 8?

Answers

Answer:

#6 =8

#8 =3

Step-by-step explanation:

the attached image is step by step

Find the angle measure.
Angle E

Answers

Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.

Triangle CDE is also isosceles. This means that angles C and D are the same measure.

The hatch marks shown in both triangles clearly indicate this fact of geometry.

So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.

Angle C = 70 degrees.

. . .70 degrees= angle C. . . . .

-2.5 times (-3/4) solution

Answers

Answer:1.875

Step-by-step explanation:

The solution to the expression "-2.5 times (-3/4)" is 1.875.

A set of numbers, variables, and mathematical operations that may be evaluated to yield a value are referred to as expressions in mathematics. A single number or variable might be used, or it can be more complicated and involve several words and processes.

To find the solution to the expression "-2.5 times (-3/4)", we can follow these steps:

Step 1: Multiply -2.5 by -3/4,

-2.5 x (-3/4) = (2.5/1) x (3/4) = (2.5 x 3) / (1 x 4) = 7.5/4

Step 2: Simplify the fraction,

To simplify the fraction 7.5/4, we divide the numerator (7.5) by the denominator (4).

7.5 ÷ 4 = 1.875

In summary, when we multiply -2.5 by -3/4, we get 7.5/4, which simplifies to 1.875.

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On the tenth day of a read-a-thon, Sarah has read 200 pages and Vivian has read 120. On each subsequent day, Sarah reads 10 pages and Vivian reads 30. Eventually, there is a day when Sarah and Vivian have read the same number of pages. What is this number of pages?

Answers

The answer is atleast 200 pages

You are saving for a skateboard. Your aunt gives you $45 to start and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much money will you have after 20 weeks? Is this enough money to buy the skateboard?

Answers

Answer:

$105.  I don't know about how much the skateboard is but on an average skateboard yes it is enough.

Step-by-step explanation:

If you get $3 a week and you have lived 20 more weeks. You would multiply 3 by 20 and get $60. Then you would add $60 to $45 and get $105. The average skateboard costs $70. So yes, a skateboard could be bought for $105. Hope this helps! Have a great day!

$105.

45 + 3w gives the amount of money you save after w weeks. We need to find amount of money we have after 20 weeks.

How to solve an equation ?

In equation we have to arrange all variables on one side and constants on other side

To save for a skateboard, If you get $3 a week from your aunt and you have lived 20 more weeks.

We need to multiply 3 with 20 to get the amount for 20 weeks.

So 3*20=$60 for 20 weeks...(*)

and from given

The expression 45 + 3w gives the amount of money you save after w weeks.

$45+3W

=$45+$60 (From *)

=$105

Therefore $10 money is enough to buy the skateboard.

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Solve for x: −2x + 5 < 7

Answers

Inequality Form = X > -1

Interval Notation = (-1,∞)

Answer:

x>-1

Step-by-step explanation:

move the 5 to the other side by subtracting both sides by 5:

-2x+5-5<7-5

=

-2x<2

Divide by negative 2

(Reminder when you divide or multiply anything by negative you need to switch the signs to the other side)

x>-1

Hope this helps!

A square has a side length of x + 3. A regular octagon has a side length of 3x. If the polygons have the same perimeter, determine the value of x.

Answers

Answer:

x = ⅗ = 0.6

Step-by-step explanation:

A square has four equal sides.

If a square has a side length of [tex] x + 3 [/tex], therefore,

Perimeter of the square = [tex] 4(x + 3) [/tex]

[tex] = 4x + 12 [/tex].

Also, a regular octagon has 8 equal sides.

If it has a side length of 3x, therefore:

Perimeter of the octagon = [tex] 8(3x) [/tex]

= [tex] 24x [/tex]

Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.

Thus:

[tex] 24x = 4x + 12 [/tex]

Subtract 4x from each side

[tex] 24x - 4x = 12 [/tex]

[tex] 20x = 12 [/tex]

Divide both sides by 20

x = 12/20 = ⅗ = 0.6.

what line is parallel to y=3x-6 and passes through the point 2,-4

Answers

Y+4=3(x-2)
Y+4=3x-6
Answer: Y=3x-10

What is a solution?

Answers

Answer:

A solution is a the thing you get when you do a math question

Step-by-step explanation:

Answer:

In math, it is the answer to a problem or question

In chemistry, a solution is a homogeneous mixture of two or more substances.

a train covers 165 miles in 1.5 hours find the constant variation.

Answers

Answer:

242

Step-by-step explanation:

trust me

Answer:

i got 110 lol

Step-by-step explanation:

165/1.5= 110

You might need:
Calculator
h(x) = -(x - 5)(x – 13)
1) What are the zeros of the function?
Write the smaller x first, and the larger x second.
smaller =
larger x =
2) What is the vertex of the parabola?

Answers

Let h(x) = 0.

Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign in front of the parentheses.

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5.

The larger zero is 13.

Both numbers make the quadratic function become zero.

Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)*x - 13)

After using FOIL, we get -x^2 + 18x - 65.

The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

This number 9 just found is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

The vertex is located at the point (9, 16).

The smaller zero is 5 and larger zero is 13. The vertex is located at the point (9, 16).

How to find the vertex of the parabola?

Let h(x) = 0.

A. Now Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign;

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5 and larger zero is 13.

B. Both numbers make the quadratic function become zero.

So, Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)(x - 13)

we get -x^2 + 18x - 65.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

Hence, This number 9 just found is the x-coordinate of the vertex.

In order to find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify;

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

Hence, The vertex is located at the point (9, 16).

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Expand pls help me

4ab(3a+b+5c)

Answers

Answer:

12a^2b+4ab^2+20abc

Step-by-step explanation:

Multiply 4ab sea

4abxb

4abx5c

2x×5x+83=3what is x​

Answers

Answer:

x= 2i√2

Step-by-step explanation:

Combine terms 10x^2+83=3

Subtract 83 from both sides 10x^2=-80

Divide 10 from both sides x^2=-8

Take square root of each side x= square root of -8

Since there is no perfect square we do prime factorization of the 8 we get 4 and 2.

4 is a perfect square so it stays outside (but remember that what stays outside has the be result of the square so its a 2) and two stays inside the square

2√2

Remember that the response was negative so we have to add i.

Therefore, x= 2i√2

whats the answer 1 2 3

Answers

Answer:

600

610

You would round it to 600

Explanation:

Since 602 doesn't pass the five, it goes down to 600

Write an integer for the situation: 1,464 feet above sea level

Answers

Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

I hope it help you...

hello i really need ur help

Answers

Answer: Im sorry if i'm wrong but i think the intercept is 2

Step-by-step explanation:

Find the distance between the points given.
(0, -6) and (9,6)
9
15
square root of 26

Answers

Answer:

15

Step-by-step explanation:

Using the distance formula will help you with this!

An online store advertises 40% off all items and free shipping. Gretta orders a pair of shoes originally priced at $65 and pays an 8% sales tax. How much will Gretta pay in total for this transaction? Show the steps you used to arrive at your solution.

Answers

Answer:

$42.12

Step-by-step explanation:

Calculation for How much will Gretta pay in total for this transaction

First step is to calculate the new price

New price=$65- ($65*40%)

New price=$65-26

New price=$39

Second step is to calculate the sales tax amount

Sales tax=8%*39

Sales tax=$3.12

Last step is to calculate How much will Gretta pay in total for this transaction using this formula

Total Amount to be paid=New price+Sales tax

Let plug in the formula

Total Amount to be paid=$39+$3.12

Total Amount to be paid=$42.12

Therefore the amount that Gretta will pay in total for this transaction will be $42.12

The winning baseball team scores 4 times as many runs as its opponent. The winning team scores 8 runs. Write an equation with an unknown to find the number of runs it opponent scores. Then solve the equation show your work. Someone please tell me

Answers

Answer:

4x+8=x

Step-by-step explanation:

Nemos aquarium is filled with 2400 cm of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the water in Nemo’s aquarium

Answers

The answer to this question is 10 cm

In this question, you asked the height and given the volume of water(2400cm3), aquarium length(20cm), and aquarium width(12cm).

Then you need to divide the volume with the length and width. The equation would be:

Aquarium height= volume / length / width

Aquarium height= 2400 cm3 / 20cm / 12 cm = 10cm.

512 64 18 16] 4 2 2 2 8 1 42 111 ( 8.1.2.1.1 4,2121 81111​

Answers

do you have an actual question you need help with or what

9
Find the values of r and y.
с
A
95°
B
4x
ro
D
E

Answers

Answer:

x = 18°, y = 167°

Step-by-step explanation:

In right triangle sum of two angles is 90°

4x + x = 90°5x = 90°x = 90°/5x = 18°

Angle y is exterior angle and equals non-adjacent interior angles

y = 4x + 95° = 4*18° + 95° = 72° + 95° = 167°

PLEASE its due in 10 minutes
For graph A, which student is walking faster, E or F? Explain

Answers

Answer:

e

Step-by-step explanation:

first of all common sense, the meeting point is the same but if f starts where it is it will take longer, e's postion is a much faster postion,

Need help with this question! :)

Answers

Answer:

13 i think

Step-by-step explanation:

Susan just got a promotion that increased her annual salary from $52,000 to $68,000. Susan's monthly expenses included a mortgage payment of $1 500 three minimum credit card payments that total $350, a lease payment of $280, a student loan payment of $250, and a personal loan payment of $325. How did Susan's debt-to-income ratio change with her promotion?
a. Susan's debt-to-income ratio decreased by about 2%
b. Susan's debt-to-income ratio increased by about 2%
c. Susan's debt-to-income ratio decreased by about 15%.
d. Susan's debt-to-income ratio increased by about 15%​

Answers

Answer:

c. Susan's debt-to-income ratio decreased by about 15%

Step-by-step explanation:

Susan's previous salary = $52,000

Susan's new salary = $68,000

Susan's mortgage = $1,500

The total of three minimum credit card payment = $350

Her lease payment = $280

Her student loan payment = $250

Her personal loan payment = $325

Therefore, her total debt = $1,500 + $350 + $280 + $250 + $325 = $2,705

Her new Debt to loan ratio = (Her total deb)/(Her total new income) = 2705/68000 = 3.9779 %

Her previous to loan ratio = (Her total deb)/(Her total previous income) = 2705/52000 = 5.2%

The percentage change in her debt to income ratio = (5.202 - 3.9779)/5.202 ≈ 23% decrease

Therefore, the best option is Susan's debt-to-income ratio decreased by about 15%.

Answer:

c. Susan's debt-to-income ratio decreased by about 15%

Step-by-step explanation:

e d g e

NNNNNNNNEED HELP!!!!!

Answers

Answer: First box=3, second box=4, third box=0, last box=2

Step-by-step explanation: Do the math for the boxes.

12x-18=90 whats the answer ?

Answers

Answer:

x=9 ! hope this helps

Step-by-step explanation:

Edge 2020

13) maths equations answer??.. .

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] \frac{3x}{x - 2} = 7 \\ [/tex]

Multiply sides by ( x - 2 )

[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]

Simplification

[tex]3x = 7x - 14[/tex]

Subtract sides 7x

[tex] - 7x + 3x = - 7x + 7x - 14[/tex]

Simplification

[tex] - 4x = - 14[/tex]

Negatives simpliflies

[tex]4x = 14[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]

[tex]x = \frac{7}{2} \\ [/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

x = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )

3x = 7(x - 2) ← distribute

3x = 7x - 14 ( subtract 3x from both sides )

0 = 4x - 14 ( add 14 to both sides )

14 = 4x ( divide both sides by 4 )

[tex]\frac{14}{4}[/tex] = x , that is

x = [tex]\frac{7}{2}[/tex]

The cost of candy is proportional to the weight of the candy. If 9 ounces of candy costs $1.80, how much will 30 ounces cost?

Answers

Answer:

$2.70

Step-by-step explanation:

9 x 20 = 180

9 x 30 = 270

hope it helped

Equation- a(10x+6)=b+40x. What is the value of A and B

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]a(10x + 6) = 40x + b[/tex]

[tex]10ax + 6a = 40x + b[/tex]

Thus :

[tex]10ax = 40x[/tex]

x s simplifies

[tex]10a = 40[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{40}{10} \\ [/tex]

[tex]a = 4[/tex]

_________________________________

And also must :

[tex]6a = b[/tex]

[tex]b = 6a[/tex]

[tex]b = 6(4)[/tex]

[tex]b = 24[/tex]

_________________________________

So :

[tex]a = 4[/tex]

[tex]b = 24[/tex]

Done...

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