MATHEMATICS MIDDLE SCHOOL

In a 40-gallon tank, there are 21 goldfish and 7 tetra fish. Write the ratio of tetra fish to the total number of fish.

Answers

Answer 1

Answer:

Answer:

1:4

Step-by-step explanation:

First we need to find the total number of fish

21 goldfish + 7 tetra fish = total fish

28 fish = total fish

tetra: total

7: 28

We can divide each of these numbers by 7

7/7:28/7

1:4

is the ratio.

Answer 2

Answer:

Answer: There are 7 tetra fish and the total is 28 fishes.

Step-by-step explanation:

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How do I solve x^2 - 8x + 16 = 25 using perfect factoring patterns?

Answers

$x^2 - 8x + 16 = 25\n \n(x-4)^2=5^2\n \nx-4=5\ \ \ \vee\ \ \ x-4=-5\n \nx=5+4\ \ \ \ \ \ \ \ \ x=-5+4\n \nx=9\ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1$

Tali jogs a mile per minute in 12 minutes. How many miles per hour is Tali running?

Answers

The answer is 12 because every mile is 1 minute so 12 minutes is 12 miles

I need help please I don’t understand it at all

Answers

Step-by-step explanation:

Blue portion is a rectangle:

$\therefore \: perimeter \: \n = 2(5x + 5) + 2(3x - 7) \n = 10x + 10 + 6x - 14 \n = 16x - 4$

Dharmesh has a square garden with a perimeter of 132 feet. is the area of the garden greater than 1000 square feet . a:write and a solve an a equation b:tell wat the variable representshelp mee

Answers

4x=132
x=33
Each side of the square garden is 33 feet .
A=(33)(33)
A=1,089
1,089>1000
The area of the square garden is greater than 1000 square feet.
The variable represents the sides of the square garden since a square has 4 equal sides and also because it is given the perimeter of the square garden. =)

An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 1/3 in. long and 1/6 wide. The actual dimensions of pavers are shown: 1/8 ft and 1/4ft. What is the constant of proportionality that relates the length of a paver in the model and the length of an actual paver? What is the constant of proportionality that relates the area of an actual paver?

Answers

Answer:

The constant of proportionality between the actual dimensions of the pavers and the model is 9.

The proportionality constant for the area is 81.

Step-by-step explanation:

To solve this problem, let's transform all quantities to the same units (inches)

The actual dimensions of the pavers are:

$Width = (1)/(8) ft * (12in)/(1 ft) = (3)/(2) in\n\n Length = (1)/(4) ft * (12in)/(1 ft) = 3in$

Then we divide the real dimensions between those of the model:

Width:

$((3)/(2))/((1)/(6))= 9$

Long =

$(3)/((1)/(3))= 9$

Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.

Actual length = model length * (9)

The "A" area of a paver is the product of its width multiplied by its length.

So:

(real width) * (real length) = ((9) Model width) * ((9) model length)

(real width) * (real length) = $9 ^ 2$ * (Model width) * (model length)

(real area) = 81 * (Model area)

The proportionality constant for the area is 81.

Answer:

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area 1/81.

Step-by-step explanation:

Area of rectangle is

$A=length* width$

Dimensions of paver in model:

$Length=(1)/(3)in$

$width=(1)/(6)in$

Area of model

$A=length* width$

$A=(1)/(3)* (1)/(6)=(1)/(18)$

The area of the model is 1/18 square inches.

We know that 1 ft = 12 inches

Actual dimensions of paver:

$Length=(1)/(4)ft=3 in$

$width=(1)/(8)ft =1.5in$

Actual area is

$A=length* width$

$A=3* 1.5=4.5$

The actual area is 4.5 square inches.

The constant of proportionality that relates the length of a paver in the model and the length of an actual paver is

$\text{Constant of proportionality of length}=\frac{\text{Length of model}}{\text{Actual length}}=(1/3)/(3)=(1)/(9)$

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area of an actual paver is

$\text{Constant of proportionality of area}=\frac{\text{Area of model}}{\text{Actual area}}=(1/18)/(4.5)=(1)/(81)$

The constant of proportionality that relates the area 1/81.

linear function x y 3 -4 0 -8 -3 -12 -6 -16 The values in the table represent a linear function. How does the value of y change in relation to a change in the value of x? A) for every change in x by 4, y changes by 3 B) for every change in x by -4, y changes by 3 C) for every change in x by 3, y changes by -4 D) for every change in x by -3, y changes by -4

Answers

answer is d) -3, -4 to your question

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