The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 liters. About how many gallons of water are in the pool?

gallons

Answer:

The length of one lap of the track would be about 377 feet

Step-by-step explanation:

∵ A circular race track has a diameter of 120 feet

→ That means the length of each lap equal the circumference of the track

∴ The length of one lap = C

∵ The diameter of the track is 120 feet

∴ d = 120 feet

∵ C = πd

∴ C = π(120)

→ Use π = 3.141

∴ C = (3.141)(120)

∴ C = 376.92 feet

→ Round it to the nearest whole number

∴ C ≅ 377 feet

∴ The length of one lap of the track would be about 377 feet

Answer:

it would be option C)  (x – 10)(x + 2)(x + 6)

Step-by-step explanation:

You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor

The factors of the function are  (x + 2)(x - 10)(x + 6).

Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal"  here "poly" means many and "nomial" means terms.

Given f(-2) = 0

f(x) = x³ - 2x² - 68x - 120  .........(1)

one factor of function is x + 2

divide the function by x + 2

multiply x² by x +2

x²(x + 2) = x³ + 2x²

subtract the term from equation 1 we get,

x³ - 2x² - 68x - 120 - x³ - 2x²

= -4x² - 68x -120 ......(2)

now multiply -4x by x + 2

-4x(x + 2) = -4x² - 8x

subtract the term from equation 2 we get

-4x² - 68x -120 - (-4x² - 8x)

-60x - 120 ........(3)

again multiply -60 by (x + 2)

-60(x + 2) = -60x - 120

subtract from equation 3

-60x - 120 - (-60x - 120) = 0

The quotient we get from the division is,

x² - 4x - 60

here are the factors of x² - 4x - 60 = (x - 10)(x + 6)

Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).

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Answer:

a=9b=12c=15

Step-by-step explanation:

Answer:

9x+4

Step-by-step explanation:

Answer:

1/3  , only one solution

Step-by-step explanation:

3x-1 = 1-3x

3x-1 = -3x+1

6x-1 = 1

6x = 2

x = 1/3

Answer:

Infinitely many solutions.

Step-by-step explanation:

[tex]3x+1-3(x-1)=4\\\\3x+1-1-3(x-1)=4-1\\\\3x-3(x-1)=3\\\\3x-3x-3=3\\\\\boxed{3=3}[/tex]

Hope this helps.

Answer: positive 7

Step-by-step explanation:

Cardinal number of the set containing all negative integers greater than −8 is 7.

In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.

Now the given set is all negative integers greater than -8.

Let S be the set,so

S = {-7,-6,-5,-4,-3,-2,-1}

now to find the cardinality, we see that set S has 7 elements.

Cardinality of Set S is 7.

Hence, cardinal number of the set containing all negative integers greater than −8 is 7.

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Answer:

yes, there are a few outliers

Answer:

Yes

Step-by-step explanation:

30 is an outlier because it is much different from the other data points.

Answer:

so you add then multiply then subtract

Step-by-step explanation:

Answer:

First we estimate the percent's. 8.5% - 10%, 18% - 20%. Then we do the equation. If you add percent's you get 30% multiply that by 40 and you get 12. Add that to you problem and you get $52.  

Step-by-step explanation:

Since the tax and gratuity were 4 and 8 dollars you can just add those up to the 40, but I did it another way.

This is the sample response if you want a better explanation.

The gratuity is about 20% of $40, which is $8. The tax is about 10% of $40, which is $4. So, the total cost is about $40 + $8 + $4 = $52.

Step-by-step explanation:

The given point is

(5,7)

This is a point in the first quadrant.

In this quadrant all are positve.

9514 1404 393

Answer:

  21–24 and 28 are correctly marked

  25: NEI; 26: ASA or LA; 27: SSS

Step-by-step explanation:

25: At least one side is required for showing congruence. In figure 25, only angles are shown congruent, so there is not enough information.

__

26: Two angles and the side between them are marked congruent. These triangles can be declared congruent by ASA. Considering they are right triangles, one could also invoke LA as the appropriate theorem.

__

27: The unmarked sides of the two outside triangles can be shown to be congruent by virtue of the fact they are opposite congruent angles in the middle triangle. Hence all three sides can be shown congruent for those outside triangles, and the SSS postulate can be invoked.

Answer:

x=32

Step-by-step explanation:

Hope this helps. Have a great day and plz give brainliest.

Answer:

the answer is 20

Step-by-step explanation:

Answer:

Your answer is: 20

One of two or more expressions that are multiplied together to get a product.

Factor the numerator and denominator and cancel the common factors.

Step-by-step explanation:

Hope this helped : )

Answer:

C. 2

Step-by-step explanation:

Because 4/2=2

Answer:

In these two parallelograms, the sides that are same are:

ST = WX

TU = XY

UV = YZ

SV = ZW

Therefore according to the question, the correct option is

d) ST = WX

If my answer helped, please mark me as the brainliest!!

Thank You!

Answer:

B, C, E

Step-by-step explanation:

This is correct. Trust me.

Answer:B, C, E

Step-by-step explanation:

Answer:

X is equal to -10

Step-by-step explanation:

#1. Multiply 6 to (1+x). Doing this makes this equation: 6+x+x=-14

#2. Move 6 to the other side of the equation, to the side of the answer and change its abbsolute value. Doing this will make x+x=-14-6.

#3. Simplify both sides. 2x=-14-6  ---->  2x=-20

#4. divide -20 by 2, this equals -10. x is equal to -10. WooHoo!

Answer:

Answer x=-[tex]\frac{20}{7}[/tex]

Step-by-step explanation:

6(1+x)+x=-14

(multiply bracket with 6)

6+6x+x=-14

(-6 for both sides)

6x+x=-20

(add x terms together)

7x=-20

(divide by 7 for both sides)

x=-[tex]\frac{20}{7}[/tex]

Replace x and Y with the points and solve:

4x  -2y

(-4,-1) = 4(-4) - 2(-1) = -16 +2 = -14

(-4,-4) = 4(-4) - 2(-4) = -16 +8 = -8

(2,-3) = 4(2) - 2(-3) = 8 + 6 = 14

(3,-5) = 4(3) -2(-5) = 12 +10 = 22

The minimum value ( lowest ) is -14, which would be (-4,-1)

Answer:B

Step-by-step explanation:

Answer:

believe it is the last one because the room is decreasing at 4 per minute so it would be -4x. Then the room is a 300 capacity so you would minus the -4x from the 300 leaving the formula as p(x)=300-4x

2 hours and 40 minutes

Step-by-step explanation:

Let a be Mrs Santos

Let b be Mr. Salonga

Mrs. Santos can cook the menu for a party in 4 hours

a = 4 hours

Mr. Salonga can work twice as fast as she can.

b = 2 ( 4) = 8 hours

The word time formula is

1/a +1 /b = 1/t

Where t is the total time

Substitute the values

1/4 + 1/8 = 1/t

1/4 + 1/8 = 2/8 + 1/8 = 3/8

Therefore

3/8 = 1/t

Doing cross multiplication

3*t = 1 * 8

3t = 8

Dividing both sides by 3

3t/3 = 8/3

t = 8/3 hours

t =2 \frac{2}{3}t=2

3

2

hours or 2 hours and 40 minutes

Answer: 7

To find the remaining amount, we must multiply up to 132.

25 x 5 = 125

Subtract 125 from 132.

132 - 125 = 7

Answer = 7

The number of stickers Ms. Smith has leftover is 7.

Ms. Smith has 132 stickers and 25 students. She gives each student the same number of stickers. In order to determine the number of stickers she would have left, the number of stickers each student got has to be determined first. The stickers each student got can be determined by dividing the total number of stickers by the total number of stickers.

Total number of stickers each student got = total number of stickers / total number of students

132 / 25 = 5 (to the nearest whole number).

The total number of stickers distributed.

5 x 25 = 125.

The total amount of stickers left = 132 - 125 = 7 stickers.

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Answer:

2

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

The hypotenuse of  each of the triangles have to be equal

7x -5 = 4x+25

Subtract 4x from each side

7x -4x-5 = 4x+25-4x

3x -5 = 25

Add 5 to each side

3x-5+5 = 25+5

3x= 30

Divide by 3

3x/3 = 30/3

x = 10

Answer:

f(x)

=(x-4)[6(x^2)+23x+20]

=(x-4)(2x+5)(3x+4)

x=4,-2/5,-3/4

Answer:

y=3x-1

Step-by-step explanation:

y=mx+b

y=3x+b

y=3x-1