Solve ( g - 7) ( g - 2) using the Distributive Property

The 5/12 cups of dog food are recommended for a 25-pound adult dog

Step-by-step explanation:

Given:

The relationship between the weight of the adult dog (X) and the amount of dog food in cups (Y) is proportional.

To find:

Dog food for the 25-pound adult dog

Solution:

The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.

[tex]X\propto Y\\\text{The equation for the relationship will be given as :}\\X=kY\\k=\frac{X}{Y}= Constant[/tex]

From the table given, we can calculate the value of the constant k.

[tex]k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{1\frac{2}{3}}\\k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{\frac{5}{3}}\\k=\frac{60}{1}=\frac{40\times 3}{2}=\frac{50\times 6}{50}=\frac{100\times 3}{5}\\k=60[/tex]

Let the dog food recommended for the 25-pound adult dog be y.

Weight of the dog = x = 25 pounds

Cups of dog food recommended = y

k = 60

Using the equation for the given relationship:

[tex]25=60\times y\\y=\frac{25}{60}=\frac{5}{12}[/tex]

The 5/12 cups of dog food are recommended for a 25-pound adult dog.

Learn more about direct proportion here:

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Answer:

7.49$ in all

Step-by-step explanation:

Answer:

The perimeter of the figure is 14.71 ft

Step-by-step explanation:

The outer perimeter of the figure is the sum of the boundary dimensions.

The missing outer dimension is the length of the arc or half circumference.

Length of arc formula/half circumference = 1/2 πr = 1/2 x 3.14 x 3 ft = 4.71 ft

The other dimensions are 5ft and 5ft.

Therefore, the outer perimeter of the figure is:

4.71 ft + 5 ft + 5 ft = 14.71 ft

Answer:

a/2 = 9

Answer:

just substitute x for 5 and then solve and then substitute x for -1 and solve and subtract the two answers you get

Answer:the answer is a answer

Step-by-step explanation:

Answer:

15 divided by 3 = 5

Square root of 30 = somewhere around 5

5 = 5

Step-by-step explanation:

It's equal too.

Answer: -17/12  or -1 5/12

Step-by-step explanation:

Answer:

52.98

Step-by-step explanation:

Solution is in attachment !!

[tex] \boxed{ \boxed{6 {x}^{3} + 19x + 2x + 5 }}[/tex]

Answer:

a. [tex]6x^{3}+19x^{2}+12x+5[/tex]

Step-by-step explanation:

[tex](2x+5)(3x^{2} +2x+1)\\\\6x^{3}+4x^{2}+2x+15x^{2}+10x+5=\\\\6x^{3}+19x^{2}+12x+5[/tex]

Step-by-step explanation:

If the parabola has the form

[tex]y = a(x - h)^2 + k[/tex] (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

[tex]y = \dfrac{1}{6}(x - 8)^2 + 6[/tex]

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length f. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

[tex]\text{focus} = (h, k +\frac{1}{4a})[/tex]

where [tex]\frac{1}{4a}[/tex] is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length f is

[tex]f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}[/tex]

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

[tex]\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6[/tex]

Answer:

/10/=/-10/=10 ; /3/=/-3/=3

=> /3/+/10/=/3/+/10/=3+10=13

Step-by-step explanation:

Answer:

divide 54

Step-by-step explanation:

your answer will be 5:1

[tex](x - 5 {)}^{2} [/tex]

[tex] {x}^{2} - 2(x)(5) + {5}^{2} [/tex]

[tex] {x}^{2} - 10x + 25[/tex]

9514 1404 393

Answer:

  4

Step-by-step explanation:

Written in standard form, the quadratic is ...

  x^2 -2x -3 = 0

This can be factored as ...

  (x -3)(x +1) = 0

so the solutions are ...

  x = 3, x = -1 . . . . . . values of x that make the factors zero

The difference of interest is ...

  3 -(-1) = 4

Answer:

62

Step-by-step explanation:

2y-5 and 95 are vertical angles so they are equal

[tex]2y - 5 = 95[/tex]

[tex]2y = 100[/tex]

[tex]y = 50[/tex]

3x and 144 form a linear pair angle so

[tex]3x + 144 = 180[/tex]

[tex]3x = 36[/tex]

[tex]x = 12[/tex]

x=12 and y=50 so

[tex]12 + 50 = 62[/tex]

Answer:

x + y = 62

Step-by-step explanation:

To find x + y we first need to find the value of x and y separately

first to find x

3x + 144 = 180 (linear pair property used)

3x = 180 -144

3x = 36

x = 36/3

x = 12

Now we need to find the value of y

2y - 5 = 95 (vertically opposite angles are equal)

2y = 95 +5

2y = 100

y = 100/2

y = 50

Now they are asking to add

x + y = ?

12 + 50

= 62

Answer:

34 people. (extremely sorry if this is wrong! please tell me if it is.)

Step-by-step explanation:

197 people were in the survey. First we can subtract 57 from 197 because 57 people dont like cats or dogs.

197-57 = 140

and to find the number of people that chose cats but not dogs, we subtract 106 from 140 which leaves us with 34 people.

Answer:

314ft²

Step-by-step explanation:

The formula for the area of a circle is [ A = πr² ].

= π(10)²

= 100π

= 314

Best of Luck!

Answer:

30

Step-by-step explanation:

step by step is in photo!

Hope this helps,

Have a wonderful day!

Answer:

< CAB + < DAC = < DAB

or, 2x + ( x + 7 ) = 52

or, 2x + x + 7 = 52

or, 3x + 7 = 52

or, 3x = 52 – 7

or, x = 45/3

or, x = 15

Now,

< CAB = 2x = 2 x 15 = 30

Answer:

C. 7

Step-by-step explanation:

5,500 divided by 785 = 7.006, which can be rounded to 7.

The number of puzzle will be left over after the last box is full is 5. Therefore, the correct answer is option A.

Given that, a factory worker has 5,500 puzzles to pack into cartons that each hold 785 puzzles.

The number of cartons required = 5500/785

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Now,

785)5500(7

       5495

__________

             5

Here, the remainder is 5.

Therefore, the correct answer is option A.

To learn more about the division visit:

https://brainly.com/question/1575906.

#SPJ4

Between the 5 and 7  is the answer

Answer:

45

Step-by-step explanation:

f(×) = 15x

f(3) = 15(3)

= 45

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Answer:

C. 3375

Step-by-step explanation:

c.3375  

since x is 3 you then type the equation like this 15^3 and multiply 15 three times  

...............................................................................................................................................

15^3

Given  :  for x =3.

To find : evaluate the function rule for the given value.

Solution : We have given  .

For x = 3.

Rule :  If  

Then   = 15*15*15.

 = 3375.

Therefore,  = 3375.

Answer:

[tex]2n + 6 = 2n + 10 \\ 2n - 2n = 10 - 6 \\ 0n = 4 \\ \\ { \boxed{ \boxed{ \tt{ \red{! \: \: no \: solution}}}}}[/tex]

Answer:

x=15/2

give brainliest please

Answer:

3(x+4)=7x-8

3x+12=7x-8

7x-3x=8+12

4x=20

x=20/4

x=5

I think you meant P(B | A) = 9/20.

By definition of conditional probability,

P(B | A) = P(A ∩ B) / P(A)

so that

P(A ∩ B) = P(A) × P(B | A) = 2/5 × 9/20 = 18/100 = 9/50

Answer:

1.794

Step-by-step explanation:

use the calculator

Answer:

1.794

Step-by-step explanation:

5. 5

2. 99

× 0.6

--------

1794

+0000

---------

1.794

Answer:

1,-4

Step-by-step explanation:

By using the midpoint formula

(X2+X1)/2 , (Y2+Y1)/2

(-3+5)/2 , (1+-9)/2

2/2, -8/2

Midpoint is 1,4

I hope this explanation helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!

Answer:

M(1,-4)

Step-by-step explanation:

M=(x1+x2/2, y1+y2/2)

[-3+5/2,1+(-9)/2]

=(2/2,-8/2)

=(1,-4)

Step-by-step explanation:

[tex] {x}^{3} + ( \frac{1}{a} )y = xy + 9[/tex]

[tex]x {}^{3} + \frac{y}{ay} = xy + 9[/tex]

[tex]x {}^{3 } = xy + 9 - \frac{y}{ay} [/tex]

[tex] {x}^{3} - 9 = xy - \frac{y}{ay} [/tex]

[tex] {x}^{3} - 9 = y(x - \frac{1}{a} )[/tex]

Divide both sides by x-1/a

[tex] \frac{x {}^{3} - 9}{x - \frac{1}{a} } = y[/tex]

Answer:

Step-by-step explanation:

47.50 + 4x = 65.90