X= square root of 10x-24

Answers

Answer 1
√10x-24 = x


Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2


STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}


STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4

Related Questions

Consumable resources are used up as you build goods or deliver services in your business. If your business uses on average 6 ounces of milk in a shake and serves 86 shakes per day, how many gallons of milk do you need to order each week? (1 gallon = 128 ounces)

a) 25
b) 27
c) 29
d) 32​

Note: I think it is either 27 or 29 because when you do the math, you get 28.21875. I took 6 × 86 = 516, 516 ÷ 128 = 4.02125 × 7 = 28.21875

Answers

Complete Question

Answer:

28.21875 gallons

Step-by-step explanation:

Step 1

From the above question:

1 shake = 6 ounces of milk

86 shakes = x

Cross Multiply

x = 86 × 6 ounces of milk

x = 516 ounces of milk

Step 2

1 gallon = 128 ounces

Hence:

For 1 day

128 ounces of milk = 1 gallon

516 ounces of milks = x gallon

Cross Multiply

128 ounces × x = 516 ounces × 1

x = 516 ounces /128 ounces

x = 4.03125 gallons

For 1 week = 7 days

1 days = 4.03125 gallons

7 days = x

Cross Multiply

x = 7 × 4.03125

x = 28.21875 gallons

Therefore, she needs to order 28.21875 gallons of milk each week

Answer:

29

Step-by-step explanation:

Nick has a box of ornaments. All of them are blue, exept for 6. All of them are green, exept for 6. All of them are red, exept for 6. How many of each colored ornament does he have?

Answers

Answer: 3 ornaments of each color

Step-by-step explanation:

There are 3 colors.
For each of the colors, the other two colors have 6 ornaments, hence we can determine that there are 3 ornaments of each color.


( p • 1) • 6 = ? halp

Answers

Answer:

= 6p Hope I helped. have a nice day!

helppppppp me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

z=15

Step-by-step explanation:

45 = 3z Because there are three z's, equal to one 45.

45 = 3z

z   = 15

Answer:

B. 45 = 3x

x = 15

Step-by-step explanation:

3 triangles worth "z" value each, is equal to 1 square equivalent to 45 in value. This means that 3z = 45. This means that z = 15, becuase, 3 * 15 = 45.

Simplify 3[(5-2)3+4]

Answers

Answer:

39

Step-by-step explanation:

Answer: 39

Step-by-step explanation: You do 5-2=3 and then (3)3=9 then add 9 and 4 to get 13 and then do 13x3 and get 39

A scientist studying water quality measures the lead level in parts per billion (ppb) at each of 49 randomly chosen locations along a water line. Suppose that the lead levels across all the locations on this line are strongly skewed to the right with a mean of ppb17 and a standard deviation of 14ppb. Assume that the measurements in the sample are independent.

Required:
What is the probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb?

Answers

Answer:

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = 0.1587

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' =49

Mean of the Population = 17ppb

The standard deviation of the population = 14ppb

Let 'X' be the random variable in a normal distribution

[tex]Z = \frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{15-17}{\frac{14}{\sqrt{49} } } = -1[/tex]

Step(ii):-

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = P(Z<-1) = 1-P(Z>-1)

                             = 1-(0.5+A(-1))

                             = 0.5 - A(1)

                            = 0.5-0.3413

                            = 0.1587

Final answer:-

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = 0.1587

Answer:

0.16

Step-by-step explanation:

What is the solution to this inequality?

6x−5>−29


​ x −4 ​

​ x>4

Answers

Answer:

x>4

Step-by-step explanation:

Answer: x>-4

Step-by-step explanation:

1. Add five to both sides [ this will cancel out the five ]

6x - 5 > -29

     +5    +5    

----------------------

6x > -24

2. Divide by six on both sides

6x > -24

----    ------

6         6

WHICH EQUALS

x > -4      

f(3)= 5x^2 - 4x + 9
evaluate this quadratic function

Answers

Answer:

[tex]f(3) = 38[/tex]

Step-by-step explanation:

Given the quadratic function

[tex]f\left(x\right)=\:5x^2\:-\:4x\:+\:9[/tex]

Evaluating the quadratic function

[tex]f\left(x\right)=\:5x^2\:-\:4x\:+\:9[/tex]

substitute x = 3

[tex]f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9[/tex]

[tex]f(3) = 45-16+9[/tex]

[tex]f(3) = 38[/tex]

Therefore,

[tex]f(3) = 38[/tex]

4x + 2y = 6
x − y = 3

What is the value of the x variable in the solution to the following system of equations?

Answers

hope this helps!

Let me know if you have any questions!

Which expression is equivalent to this solution​

Answers

Answer:

Im pretty sure its A

Step-by-step explanation:

13 points!! Mikes bikes charges an initial fee of $10 to rent a bike plus $5 per hour (h) of use. If the total cost (t) can be determined using the equation t=10+5h, what is the greatest number of hours someone can rent a bike for $25

Answers

Answer:

Greatest number of hours = 3

Step-by-step explanation:

Given that:

Initial charges = $10

Per hour charges = $5

Number of hours = h

Equation;

t = 10 + 5h

For finding the hours for $25, we will put t=25 in the equation

25 = 10 + 5h

25 - 10 = 5h

5h = 15

Dividing both sides by 5

[tex]\frac{5h}{5}=\frac{15}{5}\\h=3[/tex]

Hence,

Greatest number of hours = 3

Answer:

3

Step-by-step explanation:

help me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

3p=1/2

Step-by-step explanation:

3 p's balance with 1/2 making them equal

For his exercise today, Ivan plans to both run and swim. Let r be the number of laps he runs and let s be the number of laps he swims. Each lap he runs takes him 4 minutes, and each lap he swims takes him 2 minutes. He wants to exercise for more than 45 minutes today. Using the values and variables given, write an inequality describing this.

Answers

Answer:

4r + 2s > 45

Step-by-step explanation:

:) :) :) :) :) :) :)

8 is a quotient of a number 3 and 3

Answers

Answer: Yes

Step-by-step explanation:

seth runs every day he jogs 6 miles a day onday through friday every saturday he jogs 8 miles and every sunday 5 miles how many miles in all will seth run in three weeks.

Show your work

Answers

Answer:129

Step-by-step explanation:You have 6 miles a day Monday through Friday,add that up to get 30 and multiply by 3 to get 90. Saturday is 8 so multiply that by 3 to get 24. Sunday is 5 miles so do times 3 to get 15 and add them all up

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total miles covered in three weeks by Seth is 129 miles.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Seth jogs 6 miles a day from Monday to Friday. Therefore, the total of miles for which Seth runs on weekdays is,

Total miles in weekdays = 6 miles × 5 days

                                         = 30 miles

Also, Seth jogs 8 miles on every Saturday and 5 miles in every Sunday. Therefore, the total miles covered on week off days is,

Total miles on Saturday and Sunday = 8 miles + 5 miles

                                                             = 13 miles

Now, the total miles covered in a week is,

Total miles in a week = 30 miles + 13 miles = 43 miles

Further, the total miles covered in 3 weeks is,

Total miles in three weeks = 3 × 43 miles = 129 miles

Hence, the total miles covered in three weeks by Seth is 129 miles.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Name each level of measurement for which data can be quantitative. Select all the levels of measurement for which data can be quantitative.

Answers

Answer: Interval, Ratio, ordinal

Step-by-step explanation:

Quantitative data refers to data with numerical variables and have numerical meaning for which mathematical inferences can be made. The interval scale is used are used only for quantitative variables. They provide an fixed and ordered arrangement on their scale and also provide useful and reasonable differences in values.

The ratio scale is another quantitative scale which is very similar to the interval scale, providing meaningful difference between the values. The ratio scale gives a true zero (zero here means none) value which is different from interval whose zero value does not mean real zero.

The ordinal scale can be applied to both Qualitative and quantitative variables, the scale gives a rank and ordered meaning to measurement. However, the numbers or scale values cannot be used for mathematical computation as they'll provide no useful meaning.

choose the correct pair of expressions to complete the solution of sin(x+3pi/2)=-sqrt3/2,[0,2pi]:_(0)+cosx(_)-sqrt3/2:

cosx, 0

-sin x, -1

sinx, -1

-cosx, 0

Answers

Answer: sin x, -1

Step-by-step explanation: I got it right

Answer: C. sin x, -1

Step-by-step explanation: on edge

drake has nickels, dimes, and quarters in his pocket. The 18 coins have a value of $2.30. If there are three times as many dimes as quarters, how many nickels are there

Answers

Answer:

   4 quarters=1.00

   12 dimes=1.20

  +2 nickles=0.10

   18 coins=2.30

Step-by-step explanation:

So there are 4 quarters, 12 dimes, and 2 nickels.

Jim has gotten scores of 79 and 70 on his first two test. What score must he get on his third test to keep an average of 96 or greater?

Answers

Answer:

he must get at least 139... which isn't really possible lol

Step-by-step explanation:

(79+70+x)/3  > 96

149+x > 288

x > 139

Usain Bolt ran 120 meters in 12 seconds. What was his unit rate?

HELPPPP

Answers

Answer:

10 m/s

Step-by-step explanation:

Unit stands for one so

120 meters in 12 seconds in 10 meters a sec

What is the solution to this system of equations?

X+ 2y = 4
2x-2y = 5

A. (3, -5 1/2)
B. (3, 1/2)

C. no solution
D. infinitely many solutions

Answers

The answer is B
X = 3 and 1/2= Y
3 + 2(1/2) = 4
3 + 1 = 4
Half of 2 = 1, making B the answer

Answer:

B

Step-by-step explanation:

substitute the given value of 2y into the equation of 2x-2y=5 l, then solve equation for x, you'll get x=3

then subs into other equation to get y value

y=1/2

In ΔPQR, ∠P and ∠Q are complementary angles. If sin Q = 3/5, then what is cos P + cos q

Plz hurry

Answers

Answer:7/5

Step-by-step explanation:

which of the following is not the same set of numbers?
A) counting numbers
B) positive integers
C) whole numbers
D) natural numbers ​

Answers

positive numbers is not the same set of number

Answer:

C

Step-by-step explanation:

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

legs: 28 in. and 15 in.
A. 31.8 in.
B. 37.5 in.
C. 23.6 in.
D. 29.6 in.

Answers

Use Pythagorean Theorem:
28^2+15^2=c^2
1009=c^2
Square both sides:
31.8
A

(Blank) x 1/6 = 5/6


I haven’t done this in a while so I need help.

Answers

Answer:

5

Step-by-step explanation:

Divide 5/6 by 1/6 to get 5 as your answer.

i can you help me build the equation
i can graph it though :)

Answers

Answer:

x + 5y ≤ 30

Step-by-step explanation:

A movie store sells DVDs for $16 each. What is the cost, "C", of "n" DVDs? Is the data Continuous or Discrete?


A. C = 16n; Continuous

B. C = 16 + n; Discrete

C. C = 16n; Discrete

D. C = 16 + n; Continuous

Answers

Answer: C = 16n; Discrete

Step-by-step explanation:

From the question, a movie store sells DVDs for $16 each. The cost, "C", of "n" DVDs will be calculated by multiplying $16 by n. This will be:

C = 16 × n

C = 16n

This is dicrete as the valuea that'll be gotten will take some particular values.

Write the improper fraction as a mixed number in simplest form.
14/6

Answers

14/6 = 2.333 = 2

14 - (6x2) = 2

2 2/6 = 2 1/3

Answer:

2 and 1 third

Step-by-step explanation:

2 1/3

If a point is translated down 6 Units what are the new coordinates expressed as an algebraic representation

Answers

Answer:

(x, y - 6)

Step-by-step explanation:

I GIVEEEEEEE BRAINLILSTTTTTTTTTT

Answers

Answer:

I think its J, but I'm not 100% posative

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