Find the smallest solution to the equation 2/3 x^2 =24

Answers

Answer 1

Answer:

\frac{2x^2}{3} =24

Step-by-step explanation:

times both sides by 3

2x²=72

divide both sides by 2

x²=36

sqrt both sides

x=+/-6

x=-6 or 6

-6<6 so -6 is the smallest solution


Related Questions

What is the area of circle W?

Answers

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

work out giving your answer as a mixed number 4 1/6 + 2 3/4

Answers

The answer is 6 11/12

4 1/6 = 4 2/12
2 3/4 = 2 9/12

4 2/12 + 2 9/12 = 6 11/12

The answer in the mixed fraction form is  6¹¹/₁₂

What is a mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here, 4¹/₆+ 2³/₄ = 25/6 + 11/4

                                    = 50+33 / 12

                                    = 83/12

                                    = 6¹¹/₁₂

Hence the answer in mixed fraction is  6¹¹/₁₂

Learn more about mixed fraction here:

https://brainly.com/question/29264210

#SPJ2

Can someone please help me with math.

Answers

Answer:

your answer is B for number one

Answer:

b, d, a

Step-by-step explanation:

i need help no ilnks please and thank you

Answers

C - because the line is going in somewhat of a line, and it is pointing up, so it’s positive.

Solve with substitution. Show each step of your work

4x + y = 12
6x + 2y = 18

Answers

4x + y = 12
Get y by itself
Subtract 4x
y = -4x + 12

Since you know what y is, you can plug the value into the second equation

6x + 2(-4x + 12) = 18
6x - 8x + 24 = 18
-2x = -6
x = 3

Plug the value 3 into x for y = -4x + 12 in order to find y
-4(3) + 12 = y, y = 0

Solution: x = 3, y = 0

please do my question u get more points if the answer is right. if inappropriate you get reported NO LINKS and please EXPLAIN

Answers

Answer:

600

Step-by-step explanation:

Well, first you need to make a proportion which will be [tex]\frac{x}{6,000} = \frac{10}{100}[/tex]

x is what we need to find

6,000 is the total people who voted

10% is the percent of 18 to 29 years old

and 100% represents the circle graph because all circle graphs equal 100%

First, we use the cross multiply method, for instance, 6,000×10=60,000

Next, divide 60,000÷100 which is 600.

Therefore there are 600, 18 to 29 year olds who voted in the election.

Teresa is investing $20,000 in an account with 4.3% interest rate that is compounded monthly. How much money will she have if she takes her money out after 8 years?

Answers

Answer:

Teresa will have $28,200 if she takes her money out after 8 years.

Step-by-step explanation:

To be able to find the answer, you have to use the formula to calculate the future value:

FV=PV(1+i/n)^(n*t)

FV=future value

PV=present value= $20,000

i=interest rate= 0.043

n=number of compounding periods per time unit= 12

t=time in years= 8

Now, you can replace the values on the formula:

FV=20,000*(1+(0.043/12)^(12*8)

FV=20,000*1.41

FV=28,200

According to this, the answer is that Teresa will have $28,200 if she takes her money out after 8 years.

A business has a savings account that earns a 3% annual interest rate. At the end of 1996, the business had $4,000 in the account. The formula
F = p (1+r/100)
t is used to determine the amount in the savings account.
F is the final amount,
p is the initial investment amount,
r is the annual interest rate, and
t is the time in years.
To the nearest dollar, how much did the business initially invest in 1991?
A. $3,450

B. $3,455

C. $4,631

D. $4,637

Answers

Answer:

The amount the business initially invested in 1991 is approximately;

A. $3,450

Step-by-step explanation:

The question relates to investment and finance

The parameters given are;

The annual interest rate on the business savings account = 3%

The amount the business had in the account at the end of 1996 = $4,000

The given formula used to determine the final amount in the savings account, [tex]F = p \cdot \left(1 + \dfrac{r}{100} \right )^t[/tex]

Where;

F = The final amount

p = The initial (principal) investment

r = The annual interest rate

t = The time in years

Therefore, we have;

The required information = The initial amount, 'p', the business invested in 1991

The time in years, 't', from 1991 to 1996 = 1996 - 1991 = 5

∴ The time in years from 1991 to 1996, t = 5 years

The final amount in 1996, F = $4,000

r = 3%

Plugging in the values in the given equation gives;

[tex]4000 = p\cdot \left(1 + \dfrac{3}{100} \right )^5[/tex]

Therefore;

[tex]p = \dfrac{4000}{\left(1 + \dfrac{3}{100} \right )^5} = 3,450.43513754[/tex]

To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.

PLEASE HELP ASAP. I NEED TO KNOW NOW
Detemine which equation has the same solutions as the equation below.

4x^​2+32x-28=0

Answers

Answer:

the answer is x1 = -4- square root of 23 x2= -4+ square root of 23

pls help me with this question guys, no links pls, thank you very much

Answers

Answer:

29.4

Step-by-step explanation:

mC = 180 - 46 - 105 = 29

By Law of Sines: c/sin C = a/sin A

19.8/sin 29° = a / sin 46°

19.8/0.484 = a/0.72

a = 29.45 ≈ 29.4

Divide 5/9 round to the nearest tenth

Answers

Answer:

0.55

Step-by-step explanation:

5 divided by 9 = 0.55

Answer:

0.6

Step-by-step explanation:

5/9=0.55555555555...

since the hundredth digit is a 5 you round up to 0.6

Select the correct answer.
Which of the following sets of ordered pairs represents a function?
A.
{(-12,8), (-15,8), (-5,-8), (-12,-8)}
B.
{(8,-9), (-8,-5), (8,-7), (-8,-6)}
C.
{(13,-3), (13,0), (13,-1), (13,-1)}
D.
{(-9,8), (-5,-8), (-7,8), (-6,-8)}

Answers

Answer: C

Step-by-step explanation: Hope this help :D

Answer:

try c or d?

Step-by-step

Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16

Answers

Answer:

[tex]x=4,\:x=0[/tex]

Step-by-step explanation:

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex](x-2)^{2} =4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=0[/tex]

Tell me if it's censored since my wifi is terrible.

6_7/8 + 9_5/16 pls help

Answers

Answer:

it is 16_3/6

Step-by-step explanation:

basic addition.

The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fifth-grade boys, 14 sixth-grade girls, and 10 sixth-grade boys.



Find the following ratios:

a. The ratio of boys to girls

b. The ratio of fifth graders to sixth graders

c. The ratio of girls to the total number of students in the chorus

Answers

Answer:

A: 19:26 B:7:8 C:26:45

Step-by-step explanation:

Question A

First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,

Boys

9+10=19

Girls

12+14=26

Now that you have the total number of boys and girls you make this ratio,

19:26

That is the final answer

Question B

For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,

Fifth Graders

12+9=21

Sixth Graders

14+10=24

Now that you have the total number of both of the different grades you make this ratio,

21:24

You can simplify this by finding the lowest common factor which would be

7:8

Question C

To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.

Girls

12+14=26

All

12+9+14+10=45

Now with the total number of both you will form a ratio

26:45

This is your final answer because you cant simplify this any further

Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent

Answers

Answer:

Please specify what the three expressions are.

Step-by-step explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

[tex]2(x-3)=2x-6[/tex]

Then, by evaluating it, you would get:

[tex]2x-6=2x-6[/tex] by distribution over subtraction.

[tex]2x-6+6=2x-6+6[/tex] by the additive property of equality

[tex]2x=2x[/tex] Simplify.

[tex]x=x[/tex] by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.

Research studies show that the relationship between the tire pressure of a vehicle's tires and the life of the tires is
quadratic. The following table shows the recommended tire pressure of a car's tires (in pounds per square Inch) and its
anticipated tire life in thousands of miles),
Tire Pressure Tire Life
29
46.8
32
57,6
34
58.8
36
60.0
38
58.8
AN
570
52,8
Use a graphing or online regression calculator to find the quadratic function of best it for this set of data, What is the
value of a in this function?
o

Answers

Answer:c

Step-by-step explanation:

this dot plot is symmetric and the data set has no extreme values what is the best measures of center for this dot plot

Answers

Answer:

Step-by-step explanation:

all i know is that it is not the IQR maybe its the MAD but im not sure

Answer:

It's B

Step-by-step explanation:

I took the test and I got it right. No problem :D

What does AB equal in this problem? It’s timed

Answers

Answer:

For angle B which is 50 degrees,

hypotenuse = AB =?

Adjacent = BC = 2 units......(given)

cos 50 = adjacent / hypotenuse

0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)

AB * 0.643 = 2

AB = 2 / 0.643

AB = 3.11 units(approx)

Answer is 3.11 units

A line passes through the points (1, 9) and (0, 4). What is its equation in slope-intercept

Answers

I need to see the pic put the pic on

If h = 2, what is 3x (4 - h)?​

Answers

Answer:

3x(2)

Step-by-step explanation:

6x

Sorry if I’m wrong

I NEED HELP I AM DESPERATE PLEASE JUST HELP ME

THE AREA IS ___ SQUARE UNITS

Answers

Answer:

50 units

Step-by-step explanation:

First find the length and width by using distance formula.

QR = Square root of 25 =5

RS = Square root of 100 =10

Area = 10×5 = 50

Which value could be substituted for x in order to make the inequality true? 8 < x < 8.5

Answers

Answer:

8 < 8.2 <8.5

Step-by-step explanation:

Pick a number that is greater than 8 but less than 8.5.

Ex: 8.1, 8.2, 8.3, 8.4

What is angle m1 and angle m2?

Answers

Answer:

1) 122 2)58

Step-by-step explanation:

Answer:

m1 = 122°

m2 = 58°

Step-by-step explanation:

angle 1 = 122° rule of vertical angles

180° -122° = 58°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Use the distributive property to remove the parentheses.
- 4(5u - 3y-1)

Answers

Answer:

-20u + 12y + 4

Step-by-step explanation:

We have the equation -4(5u - 3y - 1) and are asked to use the distributive property to remove the parenthesis.

When using the distributive property, you have to multiply the number outside the parenthesis to all numbers inside the parenthesis, do as followed :

-4(5u - 3y - 1)

(5u(-4) -3y(-4) -1(-4))

-20u + 12y + 4

Rowenas new kitten weights 12 times as much as her hamster. The conbines weight of the kitten and thw hamster is 468 grams. What is the weight of the kitten

Answers

Answer: 36

Step-by-step explanation: 36x12=432

432+36=468

Pleas help!!!!!!!!!!

Answers

Yes B is the correct answer

A restaurant has 50 tables.
40% of the tables have 2 chairs at each table.
The remaining 60% of the tables have 4 chairs at each table.

Complete the model.
Then complete the statements to find the total number of chairs in the restaurant.

Answers

Answer:

160

Step-by-step explanation:

2+2 is 4 - 60 - 10 is 50 so it 120%
Just trying to get more points this is not right

Ainsley works for the owners of a bookstore. Her starting salary was 24,500, and she gets a 3% raise each year. Write an equation in function notation to represent subsidy’s salary as a function of the number of years she has been working at the bookstore. What will Ainselys salary be when she begins her fourth year working at bookstore?

Answers

Answer:

if x is the number of years she is working that the equation would be: 24,500+x*((3/100)*24,500)

Step-by-step explanation:

For her 4th year x would be 4, so for the equation above x=4:

24500+4*((3/100)*24500)=27440

In 1920, a woman had 4 daughters. In 1950, each daughter had 3 daughters. In 1980, each of their daughters had 3 daughters. Finally, in 2010, each of their daughters had 3 daughters.

How many daughters were born in 2010? Explain how you determined your answer.

Answers

Answer:

108

I determined my answer by multiplying 4 x 3 x 3 x 3 = 108

Step-by-step explanation:

daughters born in 1950 = 4 x 3 = 12

daughters born in 1980 = 12 x 3 = 36

daughters born in 2010 = 36 x 3 = 108

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