Clayton filled five containers with water each container holds 2 gallons and 2 quarts how many quarts of water does Clayton have

the question requires:

the time t required.

the equation of the inverse variation.

how do find t:

first we determine how much the tank holds by multiplying 120 by 40.

the tank holds 4800 gallons.

so now to find t we can use the formula v = d/t where d is the 4800 gallons.

so: t = d/v

t = 24 minutes

now for the equation of the inverse variation.

we can say that the equation is t = d/v since t and v are inversely proportional.

note that v and t stand for velocity and time respectively.

make sure to ask if you need any further guidance!!

Answer:

t = 24

Step-by-step explanation:

Write both fractions in terms of a common denominator. In this case, it's the least common multiple of 6 and 12, which is 12 = 2•6. So multiply the first fraction by 2/2, then simplify:

[tex]\dfrac46 - \dfrac3{12} = \left(\dfrac22\times\dfrac46\right) - \dfrac3{12} = \dfrac{2\times4}{2\times6}-\dfrac3{12} = \dfrac8{12}-\dfrac3{12} = \dfrac{8-3}{12} = \boxed{\dfrac5{12}}[/tex]

Answer:

x = 39

Step-by-step explanation:

Secant and tangent line from a point outside the cirlcle,

(length of th tangent)² = length of the secant * external segment

                   26²          =  (13 + x) * 13

               [tex]\sf (13 +x)*13 = 26 *26\\[/tex]

                           [tex]\sf 13 + x =\dfrac{26*26}{13}[/tex]

                           13 + x   = 2* 26

                           13  + x = 52

                                   x = 52 - 13

                                  x = 39

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

Answer:

I use app called math

way

Step-by-step explanation:

Answer:

we can't really answer the question without the pictue, but if the time count stays the say and the distance doen't, it would be (t=time/d=distance) (lets say time was an hour and you traveled 11 miles each hour,) then it would be 11t = d

But, if it is without multiplication, then just add all the numbers in each turn to get your answer.

Hope this saved your time. :)

Answer: 6.4 m

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Use the key to find the ages:

24, 26, 28, 28

33, 36, 36

40, 40 , 47, 47, 48

52, 53, 55, 55, 55, 56, 57, 58

63, 64, 64

Find the greatest number of common ages: 55

Answer:

[C] [tex]\frac{\pi }{2}\;radians[/tex]

Step-by-step explanation:

The ray in the terminal position, after the rotation is call the "terminal side of the angle."

Note that quadrant of the unit circle of any given angle the radians would be in:

Quad I → 0 < θ < pi/2

Quad II → pi/2 < θ < pi

Quad III → pi < θ < 3pi/2

Quad IV → 3pi/2 < θ < 2pi

Hence, Answer is [C]  pi/2 radians

~lenvy~

Answer: Taking a Photo of another photo displayed in an art gallery and claiming it as your own

Step-by-step explanation:  Because you are claiming something as your own(when it's not) is considered plagiarism and no other situation is considered plagiarism but this one so really the process of elimination explains the answer to this question

ps: This is a quadratic function of equation

[tex]f(x) = - x {}^{2} + 4[/tex]

Answer:

V ≈ 78.54

Step-by-step explanation:

Answer:

18.8

Step-by-step explanation:

First find the area of the rectangle, which is 4x3 (base x height) the area of the rectangle is 12.

We are given the radius as 2 for the quarter circles, and 2 quarter circles form 1 semicircle, so really we can solve for the area of one semi circle using the formula ( (pi*radius²)/2 ). Plug in the values and you should get 6.28.

Next, you add the area of the figures so 12+6.8 which is equal to 18.8.

Answer:

5 units

Step-by-step explanation:

Let's assume point (5,1) to be C

according to the picture we know AC= 3 and BC=4

Applying pythagorean theorem: a^2+b^2=c^2

(AC)^2+(BC)^2=(AB)^2

3^2+4^2=(AB)^2

9+16= (AB)^2

AB^2=25

AB=5

The value of the function when x = 2 will be 9. The value is obtained by putting the value 2 in the place of x.

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The given function in the problem is;

[tex]\rm f(x) = 2x^2 - 3x + 7[/tex]

On putting x =2 we get;

[tex]\rm f(2) = 2(2)^2 - 3(2) + 7 \\\\\ f(2) = 2(4) - 3(2) + 7 \\\\ f(2) = 8 - 6 + 7 \\\\ f(2) = 9[/tex]

Hence the value of the function when x = 2 will be 9.

To learn more about the function refer to the link;

https://brainly.com/question/12431044

Answer:

a

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

[tex]slope \: of \: a \: line = \frac{y2 - y1}{x2 - x1} = \frac{b - b}{c - a} = \frac{0}{c - a} = 0[/tex]

Answer:

32

Step-by-step explanation:

Triangle angle = 180

First we add!

58 + 90 + c = 180

148 + c = 180

Now we subtract!

180 - 148 = c

32 = c

Have an amazing day!!

Please rate and mark brainliest!

Answer:

45.2pi inches

Step-by-step explanation:

C=2×pi×r

since the answers already have pi we don't need to multiply it

C=2×22.6 = 45.2pi inches

Answer:

A. 22.6π

Step-by-step explanation:

Given:

22.6 inches across = diameter

What we need to find is how much ribbon do we need, so we use the formula:

C = 2πr

C = Circumference

r = radius = half diameter

Since we know the diameter, we do half of it to get the radius

22.6 ÷ 2 = 11.3

radius = 11

Now we substitute this into the formula:

C = 2πr

Substitute radius into formula

C = 2π(11.3)

Multiply 2 and 11.3

C = 22.6π

Answer: N = 5

ok done. Thank to me >:3

Answer:

if that statement is true, then DE=ST, and ST=4 so your answer should be DE=4

Explanation:

you can tell that they are even from looking at the first statement, it states DEF=STU, emphasizing on the DE=ST part, it gives your the answer right there because ST=4

Answer:

the answer is C.

Step-by-step explanation:

I know this because i am smart...
And katie is going to delete this so id.k why im even trying but #yolo

`

`

`

TOri

Using it's formula, it is found that the population density of the penguin population was of 134.9 penguins per square acre.

It is given by the population divided by the area.

In this problem:

Hence:
D = 6342/47 = 134.9 penguins per acre.

More can be learned about population density at https://brainly.com/question/26148357

#SPJ1

Answer:

I think it would be 1/8 but that is a strong maybe

Answer: d

Step-by-step explanation:

The 75 degree angle and angle d are same-side interior angles, meaning that if they were supplementary, the lines would be parallel by the converse of the same-side interior angles theorem.

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S.

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

-15

Hope it helps.

Do comment if you have any query.

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

1) Set up an equation that involves all of the values; the price and kg of each duck and chicken equating to 206.40.

[tex]8.50(x) + 3.60(2x + 5) = 206.40[/tex]

[tex]8.50x + 7.2x + 18 = 206.40[/tex]

2) Solve it.

[tex]15.7x + 18 = 206.40[/tex]

[tex]15.7x = 206.40 - 18[/tex]

[tex]15.7x = 188.4[/tex]

[tex]x = \frac{188.4}{15.7}[/tex]

[tex]x = 12[/tex]

If all of their dresses are fit for the kids, the possible way to dress them is 3*4*5=60

But one dress is out grown for the third child. Hence, the combination that are not possible.

3*4*1=12

So total number of possible ways are :

3*4*5 - 3*4*1=48

Hence the answer is option D.

The $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

It is defined as the tax rate applied on the solely earned money by a single entity.

Latonya salary per year = $50,000

If Latonya's salary will be taxed at the 10% rate, then she needs to pay tax:

[tex]= $50,000\times10\%[/tex]

[tex]=50000\times \frac{10}{100}[/tex]

[tex]= \$ 5000[/tex]

If Latonya's salary will be taxed at the 28% rate, then she needs to pay tax:

[tex]= \$50,000\times28\%[/tex]

[tex]=50000\times \frac{28}{100}[/tex]

[tex]= \$14000[/tex]

Thus, the $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

Learn more about the income tax here:

brainly.com/question/17075354