The ratio of goldfish to gallons of water is 7 to 2. How many goldfish can you get if you have 16 gallons of water? __________ and How many gallons of water do you need to keep 28 fish? ____________.

Given:

A set of composite numbers less than 12.

To find:

The set by listing and set builder methods​.

Solution:

Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.

Composite numbers less than 12 are 4, 6, 8, 9, 10.

By using the listing method , the given set can be expression as:

Set = {4, 6, 8, 9, 10}

The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.

By using set builder method, the given set can be expression as:

Set = [tex]\{x|x\neq P,1<x<12\}[/tex]

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and [tex]\{x|x\neq P,1<x<12\}[/tex] respectively.

Answer:

49

Step-by-step explanation:

b^c

Let b = 7 and c = 2

7^2

7*7 = 49

Answer:

49

Step-by-step explanation:

you fill in the equation so that it's 7^2. which is 7*7. this equals 49

Answer:

No. of sweets = 123

No. of children = 7

then

sweets per children =123/7 =17. 57

Answer: =17.57

Step-by-step explanation:

Divide the no. of sweets by the no. of children

=123/7

=17.57

Answer:

B.

Step-by-step explanation:

If you add 3x + x, it would be 3x^2

not so sure about your question. please check.

Answer:

D. y = 3·x² - 2·x + 11/12

Step-by-step explanation:

The coordinates of the focus of the parabola, f = (1/3, 2/3)

The directrix of the parabola, y = 1/2

The standard form of the equation of a parabola is (x - h)² = 4·p·(y - k)

The coordinates focus = (h, k + p)

The y-coordinates of the directrix, y = k - p

By comparison, we have;

h = 1/3...(1)

k + p = 2/3...(2)

k - p = 1/2...(3)

Adding equation (3) to equation (2) gives;

k + p + (k - p) = k + k + p - p = 2·k = 2/3 + 1/2 = 7/6

k = (7/6)/2 = 7/12

k = 7/12

From equation (2), we get;

p = 2/3 - k

∴ p = 2/3 - 7/12 = 1/12

p = 1/12

The equation of the parabola is therefore;

(x - 1/3)² = 4·(1/12)·(y - 7/12) = y/3 - 7/36

y = 3 × ((x - 1/3)² + 7/36) = 3 × ((x² - 2·x/3 + 1/9) + 7/36) = 3·x² - 2·x + 11/12

y = 3·x² - 2·x + 11/12.

Answer:

45 inches

Step-by-step explanation:

Create a proportion where x is the perimeter of the smaller triangle:

[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]

Cross multiply and solve for x:

5x = 225

x = 45

So, the perimeter of the smaller triangle is 45 inches

Given:

[tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex].

To find:

The simplified form of the given expression.

Solution:

We have, [tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex]. Mathematically it can be written as:

[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{243-125+2}{16}[/tex]

[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{120}{16}[/tex]

[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{15}{2}[/tex]

[tex]\dfrac{3^5-5^3+2}{4^2}=7.5[/tex]

Therefore, the simplified form of the given expression is 7.5.

Answer:

x≤2

Step-by-step explanation:

-6(4 - x) ≤-4(x + 1)

Distribute

-24 +6x≤ -4x-4

Add 4x to each side

-24 +6x+4x≤-4x-4+4x

-24 +10x≤ -4

add 24 to each side

-24+10x+24≤-4+24

10x≤20

Divide by 10

10x/10 ≤20/10

x≤2

Answer:

D. x ≤ 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-6(4 - x) ≤ -4(x + 1)

Step 2: Solve for x

Answer:

I can't understand this language sorry

Answer:

its the last one.

Step-by-step explanation:

easy way to do inverse functions:

write out equation :

y = 2[tex]x^{2}[/tex] + 2

Switch the x and y:

x = 2[tex]y^{2}[/tex] + 2

Solve for y :

x = 2[tex]y^{2}[/tex] + 2

subtract 2 both sides

x - 2 = 2[tex]y^{2}[/tex]

Divide both sides by 2

[tex]\frac{x}{2}[/tex] - [tex]\frac{2}{2}[/tex] = [tex]y^{2}[/tex]

reduce fraction and square root both sides

Answer:

4/5 ÷ 1/10 = 40/5 as simplified as 8/1 in fraction form.

4/5 ÷ 1/10 = 8 in decimal form.

This calculator, formula, step by step calculation and associated information for fraction 4/5 divided by 1/10 may help students, teachers, parents or professionals to learn, teach, practice or verify such division between two fractions calculations efficiently.

Step-by-step explanation:

hope it helps...

Answer:

8/1

Step-by-step explanation:

4/5 change × 10/1= 8/1 hope helpful answer to your question have a good time to you

Answer:

I'll go through the setup and let you compute the answer

Step-by-step explanation:

I think you meant

[tex]SA = 6 {s}^{2} [/tex]

and the sheet of cardboard if

[tex]200 {in}^{2} [/tex]

Find the surface area of a 6 inch cube

[tex]SA = 6 \times {6}^{2} [/tex]

if you have questions, you can send a comment

Answer:

A. i think

Step-by-step explanation:

Answer:

4, -16, 64, -256

the common ratio is -4

Step-by-step explanation:

Answer:

b. the triangle is not a right triangle

Step-by-step explanation:

Answer:

The triangle in this particular question may or may not be a right angled triangle

Step-by-step explanation:

~basically triangle are known to have 3 sides otherwise we would not call it a triangle...however in this particular question they may be no definite answer and triangle with 3 sides can be any sort of triangle:

-isosceles triangle with 3 uneven sides

-right angled triangle like stated with an hypotenuse

or

-scalene triangle with simply to equal sides...

glad I could help thumbs

disclaimer this answer may not be accurate and I do not take any responsibility if this answer is wrong thank you

Answer:

The volume of cube is 32.7 inches³

Step-by-step explanation:

Given :-

To Find :-

Volume of cube

Formula Used :-

Volume of cube = ( side)³

Solution :-

Using Formula

Volume of cube = ( side) ³

Where,

Calculation being :-

⟼ Volume of cube = ( 3.2 inches) ³

⟼ Volume of cube = 32.768 inches ³

Hence, the volume of cube is 32.768 inches³.

Round nearest hundred = 32.7 inches³.

Answer:

lol sorry for answer what's that

Answer:

(0.5, -3.5)

Step-by-step explanation:

(x1 + x2/2,   y1 + y2/2)

(-2 + 3 / 2,   -5 - 2 / 2)

(1/2, -7/2)

[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]

Answer:

Non of the given options

A function that represent an exponential decay and 2 as the y-intercept is y = 0.85ˣ + 1

Step-by-step explanation:

An exponential decay function is a function that reduces in magnitude at a constant percentage rate, r (< 1)

An exponential decay can be represented by the formula, y = a·(1 - r)ˣ

Therefore, the growth factor, (1 - r) = b is less than 1 for an exponential decay

Therefore the function that represent an exponential decay is y = 0.85ˣ, while a function that represent an exponential decay and has a y-intercept of 2 is y = 0.85ˣ + 1. therefore, non of the options

Answer:

11.6a + 880.2b - 477.2c

Step-by-step explanation:

Given:

length of the court = (5.8a+6.1b-3.6c) feet

width of the court = (434b-235c) feet

Since the court is said to be rectangular in shape :

The perimeter of a rectangle = 2(length + width)

Perimeter = 2(5.8a+6.1b-3.6c + 434b-235c)

Perimeter = 2(5.8a+6.1b+434b-3.6c-235c)

Perimeter = 2(5.8a + 440.1b - 238.6c)

Perimeter = 11.6a + 880.2b - 477.2c

Answer:

x = 6+5y

Step-by-step explanation:

x - 5y = 6

Add 5y to each side

x - 5y+5y = 6+5y

x = 6+5y

Answer:

x = 6 + 5y

Step-by-step explanation:

x - 5y = 6

Solve for x.

x - 5y = 6

Add 5y to both side

x - 5y + 5y = 6 + 5y

x = 6 + 5y

Oliver earns a total of $260.

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.

Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:

y = kx +c

since this line goes through the origin point. Constant (c) will be zero.

At the point (1, 8 ) k = 8

Hence, Y = 8x

Because hours worked are 20

earning = 8 * 20  = 160

Total earnings = 100 + 160 = 260

Therefore, the Total money that Oliver earns is $260.

Learn more about ratios here:

https://brainly.com/question/29192438

#SPJ2

Answer:

Options : 1 , 2 , 4 , 5

Step-by-step explanation:

Rational numbers are numbers of the form

                                                                 [tex]\frac{p}{q}[/tex],

where p and q are integers and q≠0

A decimal number is a rational number , if its :

A) Terminating.

       Example : 0.5

B) Non Terminating and Recurring(repeating).

      Example : 0.111111111.....

Option 1 : True

Option 2 : True

Option 3 : False             [ denominator cannot be zero ]

Option 4 : True

Option 5 : True

Answer:

Purple

Step-by-step explanation:

Because the graph has the circle filled in at the point 11, we know that it is a valid solution and that we are looking for a sign with the line under it. However, because we know that the number line extends to the right of 11, these would include answers such as 12, 13, 14, 15, etc. Because all these values are "greater than or equal to" 11, our answer is 11 <or= a, which is the purple one or the one on the right.

Answer:

-3/5

Step-by-step explanation:

7 * -3/7 * 1/5

Rewritng

7/7 * -3/5 *1

Simplifying fractions

1 * -3/5 *1

-3/5

Answer:

I would answer but I don't know what the answers are...

Answer:

I cant see the answers, any way you can get it up?