The town of new London uses about 2,750,000 gallons of water each month. If the population of new London is approximately 61,000, which of the following provides the best estimate of the number of gallons of water used per person each month?

Answer:

[tex]6\ cm[/tex]

Step-by-step explanation:

First Rectangle:

[tex]length(l_1)=24\ cm\\\\Width(b_1)=9\ cm[/tex]

Second Rectangle:

[tex]length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm[/tex]

[tex]Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm[/tex]

Answer:

x/8

Step-by-step explanation:

7x/56=x/8

Answer:

c=144

Step-by-step explanation:

The given equation is [tex]x^2-c=0[/tex]

If this equation has 12 and -12 as roots, then the roots must satisfy the equation.

We substitute x=12 to obtain

[tex]12^2-c=0[/tex]

[tex]144-c=0[/tex]

Solve for c to get:

[tex]144=c[/tex]

This implies that:

[tex]c=144[/tex]

We could have also substitute x=-12 to get the same result.

Answer:

The diagonal of the box is [tex]D=10\sqrt{3}\ units[/tex]

Step-by-step explanation:

Let

d ----> the diagonal of the base

D ---> the diagonal of the box

step 1

Find the diagonal of the base

Applying the Pythagorean Theorem

[tex]d^2=10^2+10^2[/tex]

[tex]d^2=200[/tex]

[tex]d=10\sqrt{2}\ units[/tex]

step 2

Find the diagonal of the box

In this part the legs of the right triangle are the height of the box and the diagonal of the base

so

Applying the Pythagorean Theorem

[tex]D^2=10^2+(10\sqrt2)^2[/tex]

[tex]D^2=300[/tex]

[tex]D=10\sqrt{3}\ units[/tex]

Answer: 2,204

Step-by-step explanation:

Final answer:

To solve 2453 minus 249, align the numbers by place value and subtract each column starting from the rightmost digit, borrowing where necessary. The result of 2453 minus 249 is 2204.

Explanation:

The question is a basic arithmetic problem involving subtraction. The task is to subtract 249 from 2453. We write the numbers in column form, aligning the units, tens, hundreds, and thousands places properly:

2453
-  249
------

We start subtracting from the rightmost digit (units place) and proceed to the left:

Finally, subtract in the thousands place: 2 minus 0 is 2.

After completing the subtraction, we have the result:

2204

Therefore, 2453 minus 249 equals 2204.

Answer:

2km

Step-by-step explanation:

- Abby walked 3 km west: Abby is 3km west from her starting point.

- Then she walked  twice as far going east: she walks 6km east so she's 3 km east from her starting point

- She continued east  for another kilometre: She's is 4 km east from her starting point

- Stopping 2 km east  of Lauren's home: She's currently 2 km east from Lauren's home and 4km east from her starting point. Therefore, Abby's starting point is 4km - 2km = 2km west from Lauren's home

20 canisters

Step-by-step explanation:

Long divide the 58 by 3 to get 19.3 repeating. Then round off to 20. Hope this helps!

Final answer:

After rounding 58 tennis balls to the nearest ten, Roger would need to buy approximately 20 canisters, with each canister containing 3 tennis balls.

Explanation:

Roger wants to buy 58 tennis balls and needs to estimate how many canisters he would have to buy if there are 3 tennis balls per canister. To estimate, we round the total number of tennis balls to the nearest tens place. Rounding 58 to the nearest ten gives us 60. To find the number of canisters needed, we divide the rounded number of tennis balls by the number of balls per canister:

60 ÷ 3 = 20 canisters

Therefore, Roger would need to buy approximately 20 canisters to have around 60 tennis balls.

Answer:

12.57

Step-by-step explanation:

Answer:

12.57 i did on the calculator

Step-by-step explanation:

Answer:

y = 2x + 5

Step-by-step explanation:

The 2 would be the coefficient with x as a variable, and the 5 would be the constant.

At the beginning of the day Jessica had 5 dollars (constant), and for every hour she worked (variable), she made 2 dollars (coefficient).

An example of an expression with two terms is 3x + 5, where 3 is the coefficient, x is the variable, and 5 is the constant. A word phrase for this expression is "Three times a number plus five."

An example of an expression with two terms where one term has a coefficient with a variable and the other term is constant is:

3x + 5

In this expression:

The coefficient is 3.

The variable is x.

The constant is 5.

A word phrase for this expression could be: "Three times a number plus five."

Answer:

x = - 100

Step-by-step explanation:

Given

[tex]\frac{x}{5}[/tex] + 6 = - 14 ( subtract 6 from both sides )

[tex]\frac{x}{5}[/tex] = - 20

Multiply both sides by 5 to clear the fraction

x = 5 × - 20 = - 100

Answer:

i would guess 3000

Step-by-step explanation:

this is because i rounded 8.50 to 10. and rounded 29886 to 30000

[tex]30000 \div 10 = 3000[/tex]

Answer:

32 black fish

Step-by-step explanation:

1. set up a ratio

[tex]\frac{5}{8} = \frac{20}{?}[/tex]

2. we know that we have to multiply by 4 to get from 5 orange fish to 20 orange fish. Therefore we multiply the 8 black fish by 4 as well to get 32 black fish

[tex]\frac{5}{8} =\frac{20}{32}[/tex]

Answer:

4096

Step-by-step explanation:

4*4=16

16*4=64

64*4=256

256*4=1024

1024*4=4096

if this doesn't work, try the other products

Answer:

1,024

Step-by-step explanation:

Five generations after Amanda.

So, Amanda would be considered generation 0.

1st Generation- 4^1=4

2nd Generation-4×4=16

3rd Generation-16×4=64

4th Generation-64x4=256

5th Generation-256×4=1,024

From this problem, we know that during the weekend Fiona bought some frozen seafood at the market. She bought the following things:

Let:

x: The large tray of sardines

y: The 3 kg bag of squid

z: The 2kg box of mussels

Then, we have the following information:

The sardines and the squid cost €50:

[tex]x+y=50 \ ... \ eq1[/tex]

The sardines and the mussels cost €43:

[tex]x+z=43 \ ... \ eq2[/tex]

The squid and the mussels cost €26:

[tex]y+z=26 \ ... \ eq3[/tex]

Isolating x from eq 1 and substituting into eq 2:

[tex]From \ eq1: \\ \\ x=50-y \\ \\ \\ Substituting \ into \ eq2: \\ \\ (50-y)+z=43 \\ \\ -y+z=43-50 \\ \\ -y+z=-7 \ ... \ eq4[/tex]

Adding eq3 and eq4:

[tex]\ \ y+z=26 \\ \\ -y+z=-7 \\ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ \\ 2z=19 \\ \\ z=9.5[/tex]

From eq 3:

[tex]y+z=26 \\ \\ y+9.5=26 \\ \\ y=26-9.5 \\ \\ y=16.5[/tex]

From eq 1:

[tex]x=50-y \\ \\ x=50-16.5 \\ \\ x=33.5[/tex]

Finally:

Solving systems of linear equations: https://brainly.com/question/13799715

#LearnWithBrainly

Answer:

Probablity of getting six in at most three roll= 0.199.

Step-by-step explanation:

Given: Dice rolled at most 3 times untill a 6 occurs.

First, finding the probablity of getting 6 in a dice if rolled once.

Probablity= [tex]\frac{chances\ of\ occurance}{Total\ number\ of\ event}[/tex]

We know, dice have six side, therefore, total number of event will be 6.

∴ Probablity of getting six in one roll= [tex]\frac{1}{6}[/tex]

As given, Dice is rolled at most 3 times.

Now, finding the probablity of getting 6 in a dice if rolled 3 times.

∴ Probablity of getting six in three roll= [tex]\frac{1}{6}+(\frac{1}{6})^{2} +(\frac{1}{6})^{3}[/tex]

⇒ Probablity of getting six in three roll=  [tex]\frac{1}{6}+\frac{1}{36} +\frac{1}{216}[/tex]

Taking LCD 216

⇒Probablity of getting six in three roll= [tex]\frac{1\times 36+ 6\times 1+1}{216}[/tex]

⇒Probablity of getting six in three roll= [tex]\frac{43}{216}[/tex]

∴Probablity of getting six in three roll=0.199

Answer:

[tex]1\frac{4}{5}[/tex]

Step-by-step explanation:

Each is dived into 5 section. so section is 1/5

The total time that Anton's family spent driving to and from the lake is 8.5 hours

Solution:

Time taken is given by formula:

[tex]Time = \frac{distance}{speed}[/tex]

Anton's family drove 216 mi to the lake averaging 48 ​ mi/h

⇒ Anton's family drove total distance = 216 mi les

⇒ Speed of Antony's family driving to lake = 48 miles per hour

[tex]Time = \frac{216}{48} = 4.5[/tex]

Therefore, time taken to drive to lake is 4.5 hour

On the return trip home they averaged 54 mi/h

[tex]Time = \frac{216}{54} = 4[/tex]

Therefore, time taken to return home is 4 hours

Total time = 4.5 + 4 = 8.5 hours

Thus the total time that Anton's family spent driving to and from the lake is 8.5 hours

Answer:

[tex]\frac{47}{2}[/tex]

Step-by-step explanation:

66[tex]\frac{1}{2}[/tex] - 43 = 47/2

Answer:

47/2

Step-by-step explanation:

Answer:

3493.70

Step-by-step explanation:

if you multipy all these in a calculator you get a long number, look at the third digit behind the decimal, if its 5+ then make the second digit behind the decimal one number higher. If its 4 or under than keep the number the same. To round, cut off all the digits behind the second digit thats past the secimal

See picture for solution to your problem.

Answer:

c

Step-by-step explanation:

brainlist

Answer:

c

Step-by-step explanation:

Final answer:

To complete the inequality, we convert the fractions to decimal form or find a common denominator to compare them. The number that completes the inequality is three-fourths (0.75), as it is larger than two-thirds but smaller than seven-ninths.

Explanation:

The student is asking which number fulfills the inequality between two-thirds and various other fractions. To determine the correct number that completes the inequality, we should consider the values of the fractions in decimal form or by comparing them to each other after finding a common denominator.

For example, two-thirds is approximately 0.666..., three-fifths is 0.6, seven-ninths is approximately 0.777..., three-fourths is 0.75, and six over nine is equivalent to two-thirds (as six-ninth simplifies to two-thirds).

Considering these values, the number that fills the gap should be bigger than two-thirds and smaller than the smallest fraction among the given options that is bigger than two-thirds. Therefore, three-fourths (0.75) fits the inequality because it is larger than two-thirds (approximately 0.666...) but less than seven-ninths (approximately 0.777...).

Answer:

π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ← r is the radius

Here diameter d = 2, thus r = 2 ÷ 2 = 1, thus

A = π × 1² = π × 1 = π units² ← exact solution

or A = 3.14 units² ← as a decimal

Answer:

36

Step-by-step explanation:

The first thing to simplify is the Exponents

3^2 means 3 multiplied by it self 2 times

3×3=9

4×3^2

4×9

36

Answer:The kid is 11 and the mother is 33

Step-by-step explanation:

do the math

Step-by-step explanation:

Let the present age of son be x years

Therefore, mother's age = 3x years

11 years after:

Son's age = (x + 11) years

Mother's age = (3x + 11) years

According to the given condition:

3x + 11 = 2 (x + 11)

[tex] \therefore \: 3x + 11 = 2x + 22 \\ \therefore \: 3x - 2x = 22 - 11 \\ \therefore \: x = 11 \\ \implies \: 3x = 3 \times 11 = 33 \\ thus \\ Present \: age \: of \: mother = 33 \: years \\ Present \: age \: of \: son= 11 \: years \\ [/tex]

Answer:

a= -36

Step-by-step explanation:

1. Subtract 2 from both sides

    2 + a/6 -2 = -4 -2

2. Simplify

    a/6 = -6

3. Multiply both sides by 6

     6a/6 = 6(-6)

4. Simplify

     a = -36

The maximum height of the football is approximately 15.21 yards.

The given equation for the path of the football is y = –0.04x^2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. To find the maximum height of the football, we need to determine the vertex of the parabolic function represented by the equation. The vertex represents the point where the function reaches its maximum or minimum value.

The vertex of a quadratic function in the form y = ax^2 + bx + c can be found using the formula x = -b/(2a). In this case, a = -0.04 and b = 1.56. Plugging these values into the formula, x = -1.56/(2*-0.04) = 19.5. Substituting this value back into the equation, we can find the corresponding y value which represents the maximum height of the football.

y = –0.04(19.5)^2 + 1.56(19.5) = -0.04(380.25) + 30.24 = 15.21 yards

Answer:

un número real es una fracción o número racional

si puedes escribir como razón (cociente)    [tex]\frac{a}{b}[/tex]

de dos números enteros, donde b [tex]\neq[/tex] 0

Step-by-step explanation:

un número real es una fracción o número racional

si puedes escribir como razón (cociente)    [tex]\frac{a}{b}[/tex]

de dos números enteros, donde b [tex]\neq[/tex] 0

Answer:

[tex]c=3\sqrt{13}[/tex]

Step-by-step explanation:

Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.

[tex]c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}[/tex]