one added to the square root of the sum of a number and one is equal to four. find the number​

Answers

Answer 1

[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]


Related Questions

What is the expanded form of 14.702

Answers

Answer:

The expanded form for 14.702 is

fourteen and seven hundred two thousandths

What is the mean absolute deviation of 6, 8, 2, 2?

Answers

Answer:

18/4 Is it correct?

Step-by-step explanation:

4.25

Add them all up
6 + 8 + 2 + 2 = 18
Divide by how many numbers there are
18/4 = 4.5
The mean absolute deviation is 4.5

There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?

Answers

Answer:

N=29.28.27=29484

(sorry if this didn't help)

Step-by-step explanation:

reposting this again because the first time didn’t work (please help!)

Answers

Answer:

I still can't open the file or I can't see it

Step-by-step explanation:

The triangle is to be reduced by a ratio of 1:2.
a

Answers

Answer:

where is the triangle?

Step-by-step explanation:

Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression −2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.

a. How many miles away from her house did Lauren start?
b. How fast is Lauren moving towards her house?
c. Why is the rate negative?
d. How far away from her house is Lauren after 4 hours?

Answers

a.

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

b.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

c.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

d.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

https://brainly.com/question/17997145

Is there anyone that can please help me out with this question as soon as possible?

Answers

Answer:

1. -3 × Equation [A1] --> Equation [B1]

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

Step-by-step explanation:

There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:

1. -3 × Equation [A1] --> Equation [B1]

6x × -3 = -18x

-7y × -3 = 21y

14 × -3 = -42

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

(4x × 7) + -18x = 28x - 18x = 10x

(-3y × 7) + 21y = -21y + 21y = 0y

(-4 × 7) + -42 = -28 - 42 = -70

I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.


The mean of 11 numbers is 49. Removing one of the numbers causes the mean to decrease to 45. What number was removed?

Answers

Answer:

89

Step-by-step explanation:

The mean:

[tex]\overline{x}=\dfrac{a_1+a_2+a_3+...+a_n}{n}[/tex]

We have:

[tex]\overline{x}=49;\ n=11[/tex]

Then we have

[tex]\dfrac{11\cdot49}{11}=49[/tex]

[tex]n[/tex] - the number

new mean is equal 45.

Therefore we have the equation:

[tex]\dfrac{11\cdot49-n}{11-1}=45\\\\\dfrac{539-n}{10}=45\qquad|\text{multiply both sides by 10}\\\\539-n=450\qquad|\text{subtact 539 from both sides}\\\\-n=-89\qquad|\text{change the signs}\\\\n=89[/tex]

Step-by-step explanation:

(x1 + x2 + ... + x11)/11 = 49

x1 + x2 + ... + x11= 49×11 = 539

(x1 + x2 + ... + x10)/10 = 45

x1 + x2 + ... + x10 = 45×10 = 450

so, the difference in both sums is

539 - 450 = 89

89 was the removed number.

Find the value of y when x=-4
4. 1/3y=2(x-1/6) 5. -6x-y=17.75

Answers

Answer:

1/3y=2(-4-1/6)

The first one answer is y=-25

-6×-4-y=17.75

The second answer is y=6.25

Given right triangle ABC, where side "c" is the
hypotenuse, angle B measures 44 degrees, and side
c measures 17 m, find the length of side b.
Round your answer to the nearest hundredth of
meter

Answers

Answer:

b = 11.81 m

Step-by-step explanation:

b = c . sinB = 17sin44 = 11.81

please help me with this and thank's ​

Answers

Answer:

Step-by-step explanation:

2 3. 5. + = 3 5. 8. + = 5 8. 13. + = Worked Example 1. The sequence of square numbers is. 1, 4, 9, 16, 25, 36, . . . Explain how to obtain the next number ...

60% of students at a high school participate in club activities. Rewrite this percent as a fraction in simplest form

Answers

Step-by-step explanation:

............no.................

Help pls will give brainlist

Answers

Answer:

should be c

Step-by-step explanation:

Answer:

B) is the answer I hope I could help

In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?

Answers

Answer:  4/5

Work Shown:

m = number of girls who have an A = 12

n = number of girls in the class = 15

probability = m/n = 12/15 = (3*4)/(3*5) = 4/5

Can anyone please help??

Determine whether the inverse of F(c) is a function

Answers

Yes it is because it passes the vertical line test.

What is the value of x?
14(6x−2)=x−2
A)-3
B)2
C)-7
D)-9

Answers

14(6x-2)=x-2

84x-28=x-2

84x-x= 28-2

83x = 26

x = 26/83

there are no corect answer below

ok done. Thank to me :>

link is in the comments!

PLEASE HELP!

Answers

Answer:

How can I help you?

Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answers

Answer: 50%

Step-by-step explanation:

If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps

. Bobignment In what year was the LAWMA Established-​

Answers

1977. All that took was a 3 second search...

I need to know the answer

Answers

Answer:

2 x 6 = 12

6 x 2 = 12

12 ÷ 6 = 2

12 ÷ 2 = 6

Step-by-step explanation:

help pls anyone? pls​

Answers

Now girl or boy … you don’t own a calculator? That’s easy !

The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees

Answers

Answer:

336 employees

Step-by-step explanation:

Hi there!

We're given:

Ratio of men to women ⇒ 5:7

Number of women in the company ⇒ 196

1) Solve for the number of men in the company

Set up a proportion

[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company

Multiply both sides by x

[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]

Therefore, there are 140 men working at the company.

Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.

I hope this helps!

Answer:

336 total employees

Step-by-step explanation:

divide women by their respective ratio to get unit multiplier

196÷7=28

add the 2 numbers in the ratio to get both men and women

7+5=12

multiply everyone by unit multiplier

12(28)

336

so, she was making $9/hr, then she's da bomb so she got a raise of 150%.


making 150% over that amount means more than that amount, so her raise was 150%, congrats to Maria.


if we take 9 to be the 100%, then adding 150% to that will be 100% + 150% = 250%.

Answers

The amount of money Maria now makes per hour = $22.5

In Diagram 6, JCK is a tangent to the circle ABC
Find the value of x.
A 1149 B 76° C 52° D 26°​

Answers

Answer:

C

Step-by-step explanation:

if you don't know it choose C

These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.

Answers

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

1.2) Raflte tickets cost $6 for 5 tickets
How many tickets can you get for $90

Answers

15 tickets because 90 divide by 6 is 15
Answer:
One ticket is worth 1.2
90$ gets you 75 tickets
Step by step explanation:
T=ticket(s)
6=5t
6/5=t
90/(1.2)=75

Please help asap! Solve for x and y

Answers

Answer:

Step-by-step explanation:

You are working with a square. All 4 sides are equal

2x+ 1 = 4x - 7         Subtract 2x from both sides

1 = 4x - 2x - 7         Combine

1 = 2x - 7                Add 7 to both sides

1 + 7 = 2x               Combine

2x = 8                    Divide by 2

2x/2 =8/2

x = 4

The diagonals of a square bisect the 90 degree angle.

7y + 3 = 45           Subtract 3 from both sides

7y = 45 - 3            Combine

7y = 42                 Divide by 7

y = 42/7

y = 6

There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added ​

Answers

Answer:

i will clear you.

Step-by-step explanation:

Given:-

Marbels we have =30

when we add marbels =5

Now,

or,30+5

Estimate the limit 1/x+2-1/4/x-1

Answers

Answer:

Step-by-step explanation:

Begin by finding a common denominator in the numerator of that rational expression. The common denominator is 3(x+2):

[tex]\frac{\frac{(3)1}{(3)x+2} -\frac{(x+2)1}{3(x+2)} }{x-1}[/tex] which simplifies to

[tex]\frac{\frac{3}{3x+6} -\frac{(x+2)}{3x+6} }{x-1}[/tex] which simplifies further to

[tex]\frac{\frac{3-x-2}{3x+6} }{x-1}[/tex] and

[tex]\frac{\frac{1-x}{3x+6} }{x-1}[/tex]  Bring up the lower fraction and flip it and multiply:

[tex]\frac{1-x}{3x+6}*\frac{1}{x-1}[/tex]  In order to make the 1-x into x-1, multiply the numerator of that fraction on the left by -1 to get:

[tex]-\frac{x-1}{(3x+6)(x-1)}[/tex] and now the x-1 terms cancel out, leaving us with:

[tex]-\frac{1}{3(1)+6}=-\frac{1}{9}=-.1111[/tex]

Compare the expressions 7+3^2-2⋅5 and (3/4+1/8)÷1/8 using , =, or . Show your work. Answer:

Answers

[tex]A=7+3^2 -2 \cdot 5 = 7 + 9 - 10 = 9-3=6\\\\\\B = \left(\dfrac 34 + \dfrac 18\right) \div \dfrac 18 = \dfrac 78 \times 8 =7\\\\\\B>A[/tex]

The expression relation is 7+3²-2⋅5 > (3/4+1/8)÷1/8.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

First, 7+3²-2⋅5

Solving the above expression

= 7 + 9 -2.5

= 16 - 2.5

= 13.5

Second,

(3/4+1/8)÷1/8

= (6/8 + 1/8) ÷ 1/8

= 7/8 ÷ 1/8

= 7/8 x 8/1

= 7

Hence, 7+3²-2⋅5 > (3/4+1/8)÷1/8.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ2

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