If r=3q + 2 and q = 1/3n for n = 1,2 or 3,
what is the least possiable value of r ?
A. 1
B. 2 1/9
C. 2 1/3
D. 3

Answers

Answer 1

Answer:

D. 3

Step-by-step explanation:

For n = 1:

q = 1/3 * 1 = 1/3

r = 3 * 1/3 + 2 = 1 + 2 = 3

For n = 2:

q = 1/3 * 2 = 2/3

r = 3 * 2/3 + 2 = 2 + 2 = 4

For n = 3:

q = 1/3 * 3 = 1

r = 3 * 1 + 2 = 3 + 2 = 5

Therefore, from the values of r that we found (3, 4, 5), the minimal value is 3.

Answer 2

Answer:

C

Step-by-step explanation:

21/ 3 is the answer of this question


Related Questions

how has personal finance literacy affect you in your daily life?

Answers

Answer:

I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)

Step-by-step explanation:

The table shows the number of students who ate different foods for lunch.

Food Students
Mac and cheese 6
Burger 7
Pizza 13
Salad 4
What is the ratio of students who ate pizza to students who ate mac and cheese?

a
6 : 30
b
6 : 13
c
13 : 7
d
13 : 6

Which one is it?

Answers

Answer:

13:6 D

Step-by-step explanation:

A ratio is just a comparison between two numbers. its asking for pizza students first so you enter that number first then it asks for the number of mac and cheese so you input that number.

The ratio of students who ate pizza to students who ate mac and cheese is 13:6.

From the given table we need to find the ratio of students who ate pizza to students who ate mac and cheese.

What is a ratio?

In mathematics, a ratio indicates how many times one number contains another.

Now, pizza: mac and cheese=13:6

Therefore, the ratio of students who ate pizza to students who ate mac and cheese is 13:6.

To learn more about the ratio visit:

https://brainly.com/question/13419413.

#SPJ2

1. What is the last step in constructing an angle?
Help please
For 30 points!!!

Answers

Answer:

The second choice. Connect the endpoint and the mark at the angle measure.

Step-by-step explanation:

Answer:

Connect the endpoint and the mark at the angle measure.

Step-by-step explanation:

Solve the system
9x^2 + 4(y - 2)^2 = 36
x^2 = 2y

Answers

Answer: y = 2 and x = 2

Step-by-step explanation:

[tex]9x^2+4(y-2)^2=36\\x^2=2y[/tex]

First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y

[tex]9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0[/tex]

What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.

[tex]4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2[/tex]

Now solve for x by plugging in y to the easier equation

[tex]x^2=2(-5/2)\\x\neq \sqrt{-5}[/tex]

If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2

[tex]x^2=2(2)\\x=2[/tex]

The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

9x² + 4 (y - 2)² = 36  .. (i)

x² = 2y  .. (ii)

Substitute the value of x² from (ii) in (i);

9x² + 4 (y - 2)² = 36

9 × 2y + 4 (y - 2)² = 36

18y + 4 (y - 2)² = 36

9y + 2 (y - 2)² = 18

9y + 2 (y² + 4 - 2y) = 18

9y + 2y² + 8 - 4y = 18

2y² + 5y + 8 - 18 = 0

2y² + 5y - 10 = 0

y = - 5 ± √5² - 4×2×- 10 / 2×2

y = - 5 ± √ 25 + 80 / 2

y = - 5 ± √ 105 / 2

y = - 5 ± 10.24 / 2

y = - 5 + 10.24 / 2

y = 5.24/2

y = 2.62

y = - 5 - 10.24 / 2

y = - 15.24 / 2

y = - 7.62

From (ii);

x² = 2y

x² = 2 × 2.62

x² = 5.24

x = 2.28

x² = 2y

x² = 2 × - 7.62

x² = - 15.24

x = 3.9i

Thus, The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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I need help with algebra

Answers

Answer:

D

Step-by-step explanation:

All the y's go down by -4. If they keep changing by the same number its linear

My point exactly in algebra.

Answers

lol this is so true ( i just want points)

2. x2 - 11x-26= 0
The number and type of roots

Answers

the answer is 12

because it is

Can someone plz help me the info is in the photo I'm begging you and I need the equation to show my work.

Answers

Answer:

$65.02

Step-by-step explanation:

15% of 85 = 12.75

sale price = 85-12.75 = 72.25

10% of 72.25 = 7.225 = 7.23

final cost = 72.25 - 7.23 = 65.02

2. If 1/2 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
A) 8 2/3 gallons
B) 8 1/3 gallons
C) 3 gallons
D) 2 gallons

Please help !

Answers

Closest answer would be

C.) 3 gallons

Answer: 4 gallons.

Step-by-step explanation:

With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.

If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.

8 x 1/2 = 4.

Because of this, 4 gallons of paint are needed to cover he entire wall.

(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])

Four divided by what number equals 12?

Answers

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

Calculate the quotient.
A. 3/4 divided by 5 1/5 is?
B. 3/7 divided by 2 1/2 is?
C. 5/8 divided by 6 5/6 is?
D. 8 3/10 divided by 5/8 is?

Answers

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

I. find the distance the two given points​

Answers

Answer:

Step-by-step explanation:

Use the formula,

distance = √[(x1-x2)^2 + (y1-y2)^2]

*PLEASE ANSWER!!! THANK YOU*
Greg is a pharmaceutical sales rep who works on commission. He needs to sell his product to at least 5 doctors each month. What is the term that represents needing to sell a certain amount before getting paid?

a.) Quota
b.) Salary
c.) Gross pay

Answers

Answer:

A

Step-by-step explanation:

In order to solve the equation below, what would be a valid first step?

4(x+8) =34−2x
A. Simply x + 8 to 8x.
B. Distribute the 4.
C. Subtract x from both sides.
D. Subtract 8 from both sides.

Answers

B. Distribute the 4
4x+32=34-2x
4x+2x=34-32
6x=2
X=2/6
X=1/3

Find x
Geometry angles question

Answers

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve

Simplify the following.


Answers

Answer:

[tex]m^{4}n^{5}[/tex]

Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )

When dividing variables with exponents, you subtract the exponents that has the same variables, like this:

[tex]m^{16-12}n^{10-5}[/tex]

Simplifying this becomes:

[tex]m^{4}n^{5}[/tex]

Sarah started with two large dogs and 8 small dogs, write the ratio of large to small dogs. then interpret the ratio with words

Answers

Answer:

2:8

Sarah has 2 small dog and 8 big ones

Step-by-step explanation:


Find the value of x.
48°
(7x + 13)

Answers

Answer:

336x + 624

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

i have no idea why there is a degree symbol by it probably an angle

anyway

7x+13=48

subtract 13 from both sides

7x+13-13=48-48 -> 7x=35

divide

7x/35

x=5

uwu

Does anybody know the answer???

Answers

Answer:

Linear polynomial.

Step-by-step explanation:

A linear polynomial is written with a degree 1. An example of a linear polynomials includes 3x + 5. This is what 5b - 1 is.

Hope it helps!

Which is more, 23 ounces or 1 pound?

Answers

23 ounces is more because 1 pound is only 16 ounces
23 ounces cuz 16 ounces is a pound

how to prove converse of. basic proportionality theorem​
please answer within one hour

Answers

Step-by-step explanation:

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

two different ways of theoretical and experimental explanation

both are correct

hope they helped you

There are only green yellow blue cubes in a bag

Answers

Answer:

1 ÷ 11

Step-by-step explanation:

The computation is shown below:

let us assume the yellow cubes be x

So, blue cubes be 2x

And, green cubes be 2x (4) 8x

Now the ratio is

Yellow: Blue: green

x:2x:8x

1:2:8

Now the probability of yellow cubes is

= 1 ÷ (1 + 2 + 8)

= 1 ÷ 11

HELPPP PLSSSS I REALLY NEED HELP!!!

Answers

Answer: 108°

Step-by-step explanation:

Answer:

108Step-by-step explanation:

Remember that the total amount of degrees in a pentagon is: 540, and there are 5 sides, so divide 5 by 540:

540/5 = 108

108 is your answer.

There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit

Answers

Answer:

v = 1

Step-by-step explanation:

volume of a cube = side cubed

1 cubed = 1

Answer:

answer is 1 cubic unit

hope this helps

-8(y + 5) = -8y - 40 TRUE or FALSE

Answers

Answer: true because that’s what you get when you use the distributive property

Step-by-step explanation:

The dimensions of a wooden bench shaped like a rectangular prism are 6 feet by 3.5 feet by 2.5 feet. What is the
volume of the bench in cubic feet?
14.75 Ft
® 52.5 ft
© 12 ft?
D 36 ft?

Answers

d it’s is. 12 and 52 i really think so

Answer:

12

Step-by-step explanation:

Fiona was thinking of a number. Fiona divides by 8, then adds 11 to get an answer of 7. What was the original number?

Answers

7 - 11= -4
-4 x 8= -32
Original number was -32

Answer:

-32

Step-by-step explanation:

Do the opposite of everything to fin the number:

7 - 11 = -4

-4 x 8 = -32

Check to see if it's true:

-32/8 = -4

-4 + 11 = 7

So the original number was -32, because when you divide it by 8 then add 11 it equals 7.

What is the equation of the linear function represented by the table?

O y=-X+9
O y=-x+ 13
O y=x+13
O Y = X+9

Answers

Answer:

y= -x+9

❤hope its helpful

THANK YOU.

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

63

Step-by-step explanation:

The answer to the question is 63

the table below shows the speed of a falling object that every second within the first 5 seconds of its downward motion based on the relationship between speed and time that the same will suggest which equation can be used to find the speed of the object at t seconds A. 8=t/32 B. S=32t C. S=32-t D. s=t+32​

Answers

Answer:

B. s = 32t

Step-by-step explanation:

The equation would be in the form of s = mt.

Where, m = rate of change

Find rate of change using any two values given in the table, say (1, 32) and (2, 64)

Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32

✔️To write the equation, substite m = 32 into s = mt

s = 32t

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