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 $10$.

Answer:

There are 12 boys and 36 girls.

Step-by-step explanation:

This equation should help explain it.

x + 3x = 48

Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).

To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.

The amount of boys = x, so there are 12 boys.

The amount of girls = 3x, so there are 3 times 12, or 36 girls.

Answer:

The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,

Step-by-step explanation:

Answer:

46 feet below sea level

Step-by-step explanation:

First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.

Answer:

Step-by-step explanation:

Before removing brackets, multiply everything inside them by two.

2*1/5 m - 2 * 2/5 + 3/5

2/5 m - 4/5 + 3/5

2/5 m - 1/5

That's as much as you can do. No further reduction is possible.

Answer:

[tex]\frac{2m-1}{5}[/tex]

Step-by-step explanation:

[tex]2(\frac{1}{5} m-\frac{2}{5} )+\frac{3}{5}[/tex]

First, simplify [tex]\frac{1}{5} m[/tex] to [tex]\frac{m}{5}[/tex]:

[tex]2(\frac{m}{5} -\frac{2}{5} )+\frac{3}{5}[/tex]

Merge the denominators:

[tex]2(\frac{m-2}{5} )+\frac{3}{5}[/tex]

Simplify:

[tex]\frac{2m-4}{5} +\frac{3}{5}[/tex]

Merge the denominators again:

[tex]\frac{2m-4+3}{5}[/tex]

Simplify one final time:

[tex]\frac{2m-1}{5}[/tex]

Please mark brainliest if this helps you, and I can provide more information if needed.

Answer:

See attached graph.

Step-by-step explanation:

Answer:

The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.

Answer:

2 feet

Step-by-step explanation:

37/10 - 1.7

3.7 - 1.7

2.0

= 2 feet

Answer:

the answer is 69

Step-by-step explanation:

the step by step explanation is that 2+2+4

pemdas

perenthasy

exponents

multiplication

division

adition

subtraction

Answer:

a. Use two sets of coordinates to write an equation to describe the relationship.

m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]

y = 8x

b. Interpret the equation in words.

Each roller coaster car holds  8 passengers.

answer:

32 dimes and 14 quarters

step by step:

32 x 10 = 320

14 x 25 = 350

320 + 350 = 670

670¢ =  6.70$

Step-by-step explanation:

the general equation of a line is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

6 = -3×4 + b = -12 + b

18 = b

so, the full line equation is

y = -3x + 18

which is answer C : 3x + y = 18

howdy the answer is A

sqrt 2

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.

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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Answer:

Step-by-step explanation:

The cookie's diameter is 14 cm. How much is the radius?

diameter = 2 * radius

radius = 1/2 diameter

14 : 2 = 7

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

94.2 cubic centimeters is the approximate volume of water in Anju's cup.

To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:

Volume = (1/3) × π × r² × h

Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.

The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.

Substituting these values into the formula:

Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)

Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm

Volume = 12.56 cm² × 7.5 cm

Volume = 94.2 cm²

Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).

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Answer:

33

Step-by-step explanation:

You are adding 7 each time.

Hope this helps :)

Answer:

33

Step-by-step explanation:

Sequence is the progression of a number in a sequencial order.

7x - 3 > 18

Add 3 to both sides

7x > 21

Divide both sides by 7:

X > 3

Since x has to be greater than 3 the smallest whole number that would work is 4

Answer: 4

Answer:

see below

Step-by-step explanation:

7x – 3 > 18

Add 3 to each side

7x – 3+3 > 18+3

7x> 21

Divide by 7

7x/7 >21/7

x > 3

The smallest integer value of x is 4

Answer:

1+2=3

Step-by-step explanation:

Answer:

93/40 or 2.325

Step-by-step explanation:

16/5 + (-7/8​) =

16/5 - 7/8 =

(128 - 35)/40 =

93/40 or 2.325

The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.

[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]

Answer:

0.324 m²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)

and we apply the formula

1.2 * 0.54 : 2 =

0.324 m²

Answer:

32.4? or 0.324 m²

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

Answer:The last option is correct.

Step-by-step explanation:

Answer:

28.3

Step-by-step explanation:

if a side is 90 degrees, this makes the two other angles 45 degrees.

if the base side is 40, this makes the two other sides 28.284.

rounding 28.284 to the nearest tenth, we get 28.3

Answer:

1

Step-by-step explanation: