solve:
[tex] \sqrt{x} + \sqrt{5 + x} = 15 \div \sqrt{5 + x} [/tex]

Answers

Answer 1
x = 4

Explanation:

sqrt(x) + sqrt(5 + x) = 15 / sqrt(5 + x)

sqrt(5 + x)[sqrt(x) + sqrt(5 + x)] = 15

sqrt(5x + x^2) + 5 + x = 15

sqrt(5x + x^2) = 10 - x

Take square of both sides

5x + x^2 = (10 - x)^2

5x + x^2 = 100 - 20x + x^2

Cancel x^2

5x = 100 - 20x

25x = 100

x = 4

Related Questions

Solve 24n=72

Pls help!!!

Answers

Answer:

n = 3

Step-by-step explanation:

Divide both sides by 24:

n = 72 / 24

n = 3

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Answer:

Step-by-step explanation:

Sp of an article= Rs 2300

profit%=15%

let Cost Price of an article be X

SP=CP+PROFIT %*CP

2300=X+15/100*X

2300=100X+15X/100

2300*100=115X

230000/115=X

2000=X

Therefore cost price of an article is Rs 2000.


Please help me this is due tomorrow thank you

Answers

Answer:

The answer is option B.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all

Hope this helps

what is 10^x=1/100?
solve for x

Answers

Answer:

10^x=1/100

10^x=10^-10

x=-10

Step-by-step explanation:

ILL GIVE YOU BRAINLIEST!!

Answers

Answer:

10[tex]\pi[/tex]

Step-by-step explanation:

Length of arc = [tex]\frac{theta }{360} * 2\pi r[/tex]

= [tex]\frac{150}{360} * 2 \pi * 12\\[/tex]

= [tex]10\pi[/tex]

Help pls I don’t get it

Answers

Answer:

post the entire question

I would say that all together at triangle is equal to 180 degrees. So we know 2 angles because on is 90 degrees and one is 78. So, the answer would be 90+78= 168 then subtract that by 180 and you get

12 degrees

Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next

Answers

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

Which mathematical property is demonstrated below? 3 + 0 = 3

Identity Property
Indemnify Property
Idiocy Property
Idolatry Property

Answers

Answer:

IDENTITY PROPERTY

i hope it is helpful plz marks me branily

9514 1404 393

Answer:

  Identity Property

Step-by-step explanation:

The identity property of addition is illustrated.

The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.

Jennifer invested $400 at 6% interest compounded continuously. Write a model m(t) that represents the money in Jennifer's account in t years. A. B. How much money is in Jennifer's account after 5 years? Round to the nearest cent. C. Approximately when will Jennifer have $800 in her account? Round to the nearest tenth of a year.

Answers

Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years

pleaseeeee helppppp!!!!! I have to turn this in...!!!

Answers

hope this helps ---------

B
[2 0]
-2 5
What is the determinant of B?
Your answer

Answers

Answer:

10

Step-by-step explanation:

Determinant = ad - bc

[tex]\det\begin{pmatrix} 2 & 0 \\-2 & 5\end{pmatrix} =\begin{vmatrix} 2 & 0 \\-2 & 5\end{vmatrix} = 2\times5 + 0\times2 = 10[/tex]

Solve -2y+1=y-5

Y=6

Y=-6

Y=-2

Y=3

Answers

Answer:

y=2

Step-by-step explanation:

-2y+1=y-5

Add 2y to each side

-2y+2y+1=y+2y-5

1 = 3y -5

Add 5 to each side

1+5 = 3y-5+5

6 = 3y

Divide each side by 3

6/3 = 3y/3

2 =y

Answer:

y=2

Step-by-step explanation:

Move y to the other side by subtracting by y on both sides:

-y-2y+1=y-y-5

-3y+1=-5

Move the 1 to the other side by subtracting by 1 on both sides:

-3y+1-1=-5-1

-3y=-6

Divide -3 on both sides to eliminate the -3 on y

-3y/-3=-6/-3

y=2

The percentage of students who attended the talent show for years 2018 to 2013 I shown year | percent of students 2008 | 83% 2009 | 85% 2010 | 89% 2011 | 84% 2012 | 88% 2013 | 81% This year the school has a total of 400 students. How many students do you expect to attend the talent show this year explain how you found your answer please!:)

Answers

Answer:

[tex]Students = 340[/tex]

Step-by-step explanation:

Given

[tex]2008 \to 83\%[/tex]

[tex]2009 \to 85\%[/tex]

[tex]2010 \to 89\%[/tex]

[tex]2011 \to 84\%[/tex]

[tex]2012 \to 88\%[/tex]

[tex]2013 \to 81\%[/tex]

[tex]n = 400[/tex]

Required

The expected number of students

First, calculate the average attendance in the 6 years of the talent show.

[tex]\bar x = \frac{83\% + 85\% + 89\% + 84\% + 88\% + 81\%}{6}[/tex]

[tex]\bar x = \frac{510\%}{6}[/tex]

[tex]\bar x = 85\%[/tex]

The expected number of students is:

[tex]Students =n * \bar x[/tex]

[tex]Students = 400 * 85\%[/tex]

[tex]Students = 340[/tex]

please answer this question​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )

= a × - [tex]\frac{3}{5}[/tex] b

= - [tex]\frac{3}{5}[/tex] ab

(b)

3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy

= 15x³y³ - 12xy²z

Mrs. Davis has 96 bottles of water. If each bottle holds 1 pint of water, how many gallons of water does Mrs. Davis have?

Answers

Answer:

It’s 12.48 but if it is only a number and no decimals it will be 12.

Step-by-step explanation:

The final answer is 12.48

A hockey goalie got shot on 18 times . She saved 10 of the shots . Which ratio represents the amount of shots that went in to the amount of shots she saved ?

Answers

Answer is   4:5

========================================================

Explanation:

She saved 10 shots out of 18 total, so that means 18-10 = 8 shots went in.

That forms the ratio 8:10 where we list the amount of shots that went in, followed by a colon, then the amount of shots that were saved. The order is important. From here, we divide both parts of the ratio by 2. The ratio 8:10 fully reduces to 4:5

Effectively, this means that for every 4 shots that went in, there were 5 shots that were blocked.

4:5

Saved shots: 10
Shot in: 8
8:10 -> 4:5 (simplified)

Molly and her friends just dined at a restaurant and left a tip of $20.54, which was equal to exactly 30% of the total bill. What was the total bill in dollars? Round your answer to two decimal places.

Answers

Answer:

68.47

Step-by-step explanation:

30%=0.3

20.54/0.3=68.4666……

Find the distance x rounded to
the nearest tenth.

Answers

Answer:

[tex]x=0.1 ~ft[/tex]

Step-by-step explanation:

[tex]cot30=\frac{B}{H} =\frac{B}{H}[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{B}{H}=H=\frac{16}{\sqrt{3} }[/tex]

[tex]sin70=\frac{X}{H} =\frac{P}{H}[/tex]

[tex]sin70=\frac{x}{\frac{16}{\sqrt{3} } }[/tex]

[tex]x=\frac{\sqrt{3} }{16 ~sin70}[/tex]

[tex]=0.1152[/tex]

[tex]x=0.1[/tex]

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

hope it helps

have a great day!!

Answer: 9.7

Step-by-step explanation: I got this question right

70+30 = 100

B = 180 - 100 - 20

B = 60°

80+20 = 100

C = 180 - 100 - 30

C = 50

DB/sin100 = 8/sin(60)

8*sin(100)/sin(60)

DB = 9.0973

DC/sin(30) = 8/sin(50)

8*sin(30)/sin(50)

DC = 5.22163

x = [tex]\sqrt{5.22163^{2} +9.0973^{2} -2*5.22163*9.0973*cos(80)[/tex]

x = 9.7

heya heya heya math question please
thanks in advance :')

Answers

The answer is B because 1 is equivalent to 8/8

Oscar rides his skateboard 58
5
8
mile in 14
1
4
hour. How fast, in miles per hour, does he ride his skateboard?

Answers

Answer:

about 4.1 miles per hour

The value of which of these expressions is closest to e?

Answers

The answer is B because e is 2.17

Answer:

the answer is D

Step-by-step explanation:

Got it wrong on the A*pex test D is the correct answer

1+(1/30)30

Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%

Answers

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

Theodore deposited $2400 into a savings account for which interest is compounded monthly at a rate of 2.8%. How much interest will he earn after 10 years? *

$58.51
$678.59
$2478.59
$7679.48

Answers

The answer would be D

Rewrite the expression in the form zn.

Answers

Answer:

zⁿ = z³

Step-by-step explanation:

We have the expression:

√(z/ z^⅓)

Hence

= z^½/ (z^⅓)^½

= z^½/ (z^⅙)

= z^(½ ÷⅙)

= z ^(1/2 × 6/1)

= z³

Therefore: zⁿ = z³

Write the word sentence as an equation. 12 less than a number m equals 20.

Answers

Answer

Equation: m - 12 = 20

4 – (3 – 5) =

Possible Answers:
A. -4
B. -2
C. 6
D. 12

Answers

Answer:

6

Step-by-step explanation:

4 – (3 – 5) =

PEMDAS says parentheses first

4 – (-2) =

Subtracting a negative is like adding

4 +2

6

Answer:

2-

Step-by-step explanation:

.....................................................................

simplify 5^-2
please help me! i don't know how to do it and its due today

Answers

0.04

jndjnwjnc jwnfjnjwfjn jn jnwjnj njnfjbfwhijfkwb jnj nwjnjfjwkf n

Two odd numbers are selected at random from integers 11 through 22. Find the
probability that the two numbers are multiples of 3 after replacing first? JUST
SHOW MATH!*

Answers

I mean the answer is 34 sorry for the mistake

Probability  that the two numbers are multiples of 3 after replacing first

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The odd integers from11 to 22 are

11,13,15,17,19,21

So there are 6 events

Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.

One number out of these 2 numbers can be chosen in 2 ways.

Therefore, favourable number of elementary events = 2.

Required probability =2/6=1/3

Hence 1/3 is the probability  that the two numbers are multiples of 3 after replacing first

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people, what is the density of people in the city?
Group of answer choices

A. We cannot calculate this value.

B. 1000 people per square mile

C. 1 person per square mile

D. 100 people per square mile

Answers

Answer:

A. We cannot calculate this value.

Step-by-step explanation:

Had it on my test c:

We cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.

What is population density?

It is defined as the ratio of the population to the total area. The population density represents the average number of people living on each square unit.

We have:

If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people,

As we know,

population density = number of people/area of the region

As we have a rectangular city,

The area of the city = length×width

Width is not given so we cannot find the area of the region.

Thus, we cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.

Learn more about the population density here:

brainly.com/question/1581160

#SPJ2

The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at random to survey. Let DDD be the number of customers they survey who have dogs.What type of variable is DDD

Answers

Answer:

D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

65% of the customers have dogs:

This means that [tex]p = 0.65[/tex]

15 customers:

This means that [tex]n = 15[/tex]

What type of variable is D?

D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]

Answer:

binomial

Step-by-step explanation:

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