What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.

Answers

Answer 1

Only two positive integers, 2 and 8, fit the description.

2 = 10 (base 2) = 2 (base 3)

8 = 1000 (base 2) = 22 (base 3)

Their sum is 10.


Related Questions


Given the figure below, which of the following equations is correct?

Answers

A is the correct answer

ok done. Thank to me :>

A is the following answer

I will mark brainliest. Only REAL ANSWERS PLEASE!!!

Answers

Answer:

y > -4

Step-by-step explanation:

The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?

Answers

Answer:

The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.

Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .

In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:

( × 9) ÷  

( × 9) ×  = 18 quarts

To learn more about ratios, please check: brainly.com/question/17995727

Step-by-step explanation:

18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that recipe for sparkling grape juice calls for [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quart of grape juice

Let us convert  [tex]1\frac{1}{2}[/tex] to improper fraction as 3/2

We need to find the amount of sparkling water would you need to mix with 9 quarts of grape juice

Let x be the sparkling water would you need to mix with 9 quarts of grape juice

Let us form a proportional equation.

3/2/(3/4)=x/9

3/2×4/3=x/9

2=x/9

18=x

Hence, 18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

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Use the following function rule to find f(2).

f(x) = 2^x

f(2) =

Answers

Answer:

4

Step-by-step explanation:

4

PLEASE MARK ME AS BRAINLIST

Apply the distributive property to factor put the greatest common factor

250 - 150x=

Answers

Answer:

50(5-3x)

Step-by-step explanation:

250=2*5^3

150=2*3*5^2

GCF=2*5^2=50

250/50=5

150/50=3

50(5-3x)

4x+y=8
x+2y=5
substutuion method

Answers

Answer:

i dont know sry....i ned points..

If a ping pong ball falls from the top of a building that is 168 feet high, how many seconds will it take the ball to hit the ground

Answers

Answer:

3.2 seconds

Step-by-step explanation:

help me please and thank you !

Answers

Answer:

I hope this helps.

Factorise this expression as fully as possible 12x - 9x?​

Answers

Answer:

4x

Step-by-step explanation:

12x-9x

=4x

I hope my answer is correct

and if u like mark me as brainliest answer.

Answer:

12x - 9x

= 3x ( 4- 3)

= 3x ( 1)

= 3x

HI!!! IKL GIVE U BRAINLIEST IF U CAN HELP ME!

Answers

Help with what there is no picture attached

Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13

Answers

Answer:

13/ 14 the first one

Step-by-step explanation:

What is the value of x?

40

70

140

160

Answers

Answer:

the vaule of x is 160 add the rest to it later then you get answer A

Step-by-step explanation:

Answer:

Its B 70

Step-by-step explanation:

Edge 2022

13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7

Answers

i think its most its 7 d,

Hey, do you know what 1+1+*6*6*8*7*1 is?

Answers

Answer:

it should be 2017 1+1*6*6*8*7*1

[tex]at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.[/tex]
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.

Answers

There would be exactly 1008 students present on the particular day

4(x+2)-6=x+41 denkleminde x kaçtır?
A)13 B)14 C)-14 D)-13
ACİL LÜ TFEN!!​

Answers

Answer:

[tex]A)13[/tex]

Step-by-step explanation:

[tex]4(x+2)-6=x+41[/tex]

[tex]→4x + 4 \times 2 - 6 = x + 41[/tex]

[tex]→4x + 8 - 6 = x + 41[/tex]

[tex]→4x + 2 = x + 41[/tex]

[tex]→4x + 2 - x = x + 41 - x[/tex]

[tex]→4x - x + 2 = x - 41 - x[/tex]

[tex]→3x + 2 = x + 41 - x[/tex]

[tex]→3x + 2 = 41[/tex]

[tex]→3x + 2 - 2 = 41 - 2[/tex]

[tex]→3x - 39[/tex]

[tex]→ \frac{3x}{3} = \frac{39}{3} [/tex]

[tex]→x = \frac{39}{3} [/tex]

[tex]→x = 13[/tex]

how would I solve this??
logx^125 = -3​

Answers

Step-by-step explanation:

First, this is how I read it.

[tex]\log(x^{125})=-3[/tex]

Next, this is how logarithms work:

[tex]b^y=x\implies \log_b(x)=y[/tex]

In your equation, we have all 3 numbers:

b = 10 (implied)x = [tex]x^{125}[/tex]y = -3

With that information, you can convert the logarithm into "normal" form:

[tex]10^{-3}=x^{123}[/tex]

The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.

Now, just solve for x:

[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]

That's about as simplified as it gets, unless you want this:

[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]

Thats 10^(3/125), numbers got very small.

I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.

Please help me!!!!!!!!!!! Find the coordinates of P scale factor of 3

Answers

Answer:

  P'(3, -12)

Step-by-step explanation:

Assuming we're dilating the figure by a factor of 3 using the origin as the center of dilation, the coordinates of P' will be 3 times those of P:

  P' = 3P

  P' = 3(1, -4)

  P' = (3, -12)

What is f(-1)?

PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

y=3, you can see it when you start from ×=-1 and then follow the line in the graph

Answer:

f(-1) = 3

Step-by-step explanation:

You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.

Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.

Alex borrowed 12.50 from his friend. He paid him back 8.75. How much does he still owe?

Answers

Answer:

3.75

Step-by-step explanation:

If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75

what is the slope of the line that passes through the points (-3, 1) and (1, -5)

A) 1/2
B) -1/2
C) -3/2

Answers

Answer:

[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line.

Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:

x₁ = -3 y₁ = 1x₂ = 1 y₂ = -5

Substitute the values into the formula.

[tex]m= \frac{-5 -1}{1 - -3}[/tex]

Solve the numerator.

-5-1= -6

[tex]m= \frac{ -6}{1--3}[/tex]

Solve the denominator. Two back-to-back negative signs become a positive sign.

1 - -3 = 1+3 =4

[tex]m=\frac{-6}{4}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 2.

[tex]m= \frac{-6/2}{4/2}[/tex]

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

The slope of the line is -3/2, so the correct choice is C.

The sum of first four terms is a G.P. is 30 and that of the last four terms is 960. if its first term is 2 find the common ratio .

Answers

If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990

We also know that a = 2

sum of first 4 terms

= 2(r^4 - 1)(r-1) = 30

r^4 - 1 = 15r - 15

r^4 - 15r + 14 = 0

r = 1 works for the equation , but r = 1 would make all the terms of the

GP the same, so clearly not a solution

r^4 - 15r + 14 = 0 , a bit of trial and error ....

(r-1)(r - 2)(r^2 + 3r + 7) = 0

so r = 2 or r = not real

check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed

so r = 2 , BUT it does not work for sum(8)

sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.

check your question.

Over time, the value of a car decreases. If the value of a car purchased for Php
1,250,000 decreases to Php 1,000,000 throughout a year, what is the rate of change?

Answers

Answer:

-20%

Step-by-step explanation:

Current value of an item and divide it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

ROC = (current value/previous value​ − 1) x 100

ROC = (1,000,000/1,250,000 - 1) x 100

ROC = (0.8 - 1) x 100

ROC = -0.2 x 100

ROC = -20

answer please
urgently....​

Answers

Answer: Picture is cropped can you send the full photo

Step-by-step explanation:

Please send the full photo

write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 2

Answers

Answer:

Step-by-step explanation:

I would start with the form

y = mx + b

and then convert to standard form.  Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2 ⇒ m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

5x + 7y = 14 (standard form)

The equation in standard form of the line is 5x + 7y = 14

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, a line is passing through (7, -3) and has a y intercept of 2

The general equation of a line is y = mx + b

Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2

m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

Converting into standard form;

5x + 7y = 14

Hence, the equation in standard form of the line is 5x + 7y = 14

For more references on equations, click;

https://brainly.com/question/29657983

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Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license plates, and $40 for a state safety and emissions inspection. How much does she need to pay for these extra charges, not including the price of the car?

Answers

Answer:

999

Step-by-step explanation:

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

How do we check an answer to an algebraic equation to make sure that it is correct?

Answers

Determine whether a number is a solution to an equation.

Substitute the number for the variable in the equation.Simplify the expressions on both sides of the equation.Determine the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

- BRAINLIEST answerer

Answer:

substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal

Step-by-step explanation:

let's say you have this equation:    

2x - 10 = 26

solve by first adding 10 to each side to get:

2x = 36

now divide each side by 2 to get:

x = 18

to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:

2(18) - 10 = 26

36 - 10 = 26

26 = 26

we know our answer is correct

If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Find the measures of the interior angles of the triangle.

Answers

Answer:

Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...

Step-by-step explanation:

ℎ ℎ 22 2 22 2− 3 +10

Answers

Answer:

wouldn't the answer be 9

Step-by-step explanation:

Answer:

22h^2 + 33 (added) .    h⋅h⋅22,2,22,2−3+10 (subtracted)

Step-by-step explanation:

I don't understand what you want so I will list lots of answers hopefully it helps. Please message under my answer for more solutions so I can help you but I hope this started to help you.

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