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? ____________.

Answers

Answer 1

Answer: 56, 8

Step-by-step explanation:

Given

The ratio of goldfish to gallons of water is 7:2

If there is 16 gallons of water. For x goldfish, We can write

[tex]\Rightarrow \dfrac{7}{2}=\dfrac{x}{16}\\\\\Rightarrow x=7\times8\\\Rightarrow x=56[/tex]

If there are 28 fish, for y gallons of water we can write

[tex]\Rightarrow \dfrac{7}{2}=\dfrac{28}{y}\\\\\Rightarrow y=2\times 4\\\Rightarrow y=8\ \text{gallons}[/tex]


Related Questions

Question 4 OT TU
Find the volume of the cube in inches and enter your answer below. Round
your answer to the nearest hundredth. Do not include units in your answer.
3.2 in.
3.2 in.
3.2 in.
Answer here

Answers

Answer:

The volume of cube is 32.7 inches³

Step-by-step explanation:

Given :-

Side of cube is 3.2 in

To Find :-

Volume of cube

Formula Used :-

Volume of cube = ( side)³

Solution :-

To calculate the volume of cube. Simply by applying formula volume of cube. As given in the question that ths side if cube is 3.2 inches.

Using Formula

Volume of cube = ( side) ³

Where,

side of cube is 3.2 inches

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.

give that y=-4,x=3,b=7 & c=2 find b^c​

Answers

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

mobimax Which of the following statements are true of rational numbers?

Check all that are true.


Decimals that can be written as fractions are rational numbers.


Repeating decimals are rational numbers because they can be written as fractions.


One divided by zero is an example of a rational number.


A rational number can be written as one integer divided by another integer.


Rational numbers can be written as fractions.

Answers

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

Two similar triangles have a scale factor of 5:3. The perimeter of the larger triangle is 75 sq inches. What is the perimeter of the smaller triangle measured in inches?

Answers

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

Please hurry i want the answer of this question please

Answers

[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]

I need help can someone please answer this for me

Answers

Try C if it doesn’t work try A,B,D

someone PLSSSS HELPPP !! fast pls please

Answers

Answer:

A. i think

Step-by-step explanation:

Answer:

4, -16, 64, -256

the common ratio is -4

Step-by-step explanation:

the window of a building 65m above the street level from this window ,a person looks across the street at a building and finds that the Angle of elevation of the top of the building is 72°and the angle of depression if the bottom of the building is 28° .if the street level is horizontal and the ground distance between the building is 80m.find to the nearest m the vertical heights of the building

Answers

not so sure about your question. please check.

he table represents the multiplication of two binomials.

A geometric model with 2 columns and 2 rows. The first column is labeled 3 x with entries A, C. The second column is labeled 5 with entries B, 10. The first row is labeled negative x with entries A, B. The second row is labeled 2 with entries C, 10.
What is the value of A?

negative 3 x
negative 3 x squared
negative 5 x
negative 5 x squared

Answers

Negative 2 x would be it

Answer:

B.

Step-by-step explanation:

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

The sum of three of the interior angles of a pentagon is 420°. If the remaining angles are equal, how much does each measure?​

Answers

I made it for you Ight so yea it’s B hope it’s right

Which of the following functions represent exponential decay and has a y-
intercept of 2?
O y = {(0.85)*
O y = (2)*+2
O y = 4 (2)*
O y = 2(3)*

Answers

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

Find the inverse of the function y = 2x^2 + 2.

Answers

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

A set of composite numbers less than 12 .express it in listing and set builder methods​

Answers

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.

Anthony is building a cube-shaped box to store some of his smaller crafting supplies. The formula for the surface area of a cube is SA = 6s 2 , where s is the side length of the cube. If he has a total of 200 in. 2of cardboard, can Anthony build a box where s = 6 in.?

A) No, he needs 16 in. 2more cardboard.
B) No, he needs 232 in. 2more cardboard.
C) Yes, he will have 56 in. 2of cardboard left over.
D) Yes, he will have 128 in. 2of cardboard left over

Answers

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

Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?

Answers

you didn’t include the graph

Oliver earns a total of $260.

What is Ratio?

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

Work out(3^5-5^3+2) divided 4^2

Answers

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.

Please Help 50 points!!

A substance decays so that the amount A of the substance left at time t is given by:

Answers

Answer:

lol sorry for answer what's that

Choose the answer that makes the sentence true.

Answers

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?

Área de Cuadriláteros
¿Me pueden ayudar con esta tarea?

Answers

Answer:

I can't understand this language sorry

Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A terms
B products
C variables
D coefficients

Answers

A. terms is the best way to describe them

14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..

Answers

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

PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate​

Answers

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)

What is the equation of the parabola with focus (1/3, 2/3) and directrix y = 1/2pls help ill give points

Answers

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.

what is the quotient
4/5 ÷ 1/10​

Answers

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

Can you please help me. It says to find each product

Here is the question
There is a picture

Answers

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

Multiple Choice:
Suppose a triangle has sides 3, 4, and 5. Which of the following MUST be true?

A. The triangle in question may or may not be a right triangle.

B. The triangle in question is a right triangle.

C. The triangle in question is not a right triangle.

Answers

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

Plz hep me I don’t understand

Answers

It’s the red one all the way to the right

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.

Question 6 Multiple Choice Worth 1 points)
(01.06 LC)
Solve x - 5y = 6 for x.

Answers

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

Which of the following is the solution to the inequality below?
-6(4 - x) S-4(x + 1)
O A. x210
O B. x5 10
O C.x22
O D. x52

Answers

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

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-6(4 - x) ≤ -4(x + 1)

Step 2: Solve for x

[Distributive Property] Distribute -6:                                                                 -24 + 6x ≤ -4(x + 1)[Distributive Property] Distribute -4:                                                                -24 + 6x ≤ -4x - 4[Addition Property of Equality] Add 4x on both sides:                                    -24 + 10x ≤ -4[Addition Property of Equality] Add 24 on both sides:                                  10x ≤ 20[Division Property of Equality] Divide 10 on both sides:                                 x ≤ 2

The Duke Blue Devils basketball team plays home games at Cameron Indoor Stadium. The court is in the shape of a rectangle. If the length of the court is (5.8a+6.1b-3.6c) feet and the width of the court is (434b-235c) feet, then what is the perimeter of the court?

Answers

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

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