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

Jack can program an app in 3 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?

Answers

Answer:

2 2/11 hours

Step-by-step explanation:

Let the number of hours

Jack spent programming his app = J

Chris spent programming his app = C

Total hours if they worked together = T

Hence,

1/T = 1/3 + 1/8

Lowest Common Denominator = 34

1/T = 8 + 3/24

1/T = 11/24

Cross Multiply

T × 11 = 1 × 24

T = 24/11

T = 2 2/11 hours

Therefore, it would take them to program 2 2/11 hours to program the same app working together

x = 5, 3x + 10 = 25, 3x – 11 = 4 are example of: which equastion

Answers

Answer:

linear equations, i assume

Step-by-step explanation:

According to a recipe for purple paint, the ratio of milliliters of blue paint to milliliters of red paint in the mixture should be 20:4. Selena has 140 ml of blue paint. She wants to mix red paint to it to get the same shade as suggested by the recipe.

For every 1 ml of red paint, the recipe suggests adding [Drop Down 1] of blue paint. So, for
140 ml of blue paint the amount of red paint needed is [Drop Down 2].

Answers

Answer:

30ml

Step-by-step explanation:

What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviation from the mean

Answers

Answer:

0.9821

Step-by-step explanation:

Probability that a randomly selected value will be less than 2.1 deviations from the mean ; this means the Zscore = 2.1

Hence, using :

P(Z < 2.1) = 0.9821 (standard normal table

= 0.9821

Round your answer to the nearest hundredth.
с
4
А
25°
B

Answers

Answer:

take 25 degree as reference angle

let hypotenuse be x

using cos rule

cos 25=adjacent/hypotenuse

0.90=4/x

0.90x=4

x=4/0.90

x=4.44

Step-by-step explanation:

Mi papá quiere comprar una camioneta que cuesta $373,990. Tiene que dar de enganche el 28%. ¿Cuánto es lo que tiene que pagar?

Answers

Answer:

i don't speak spanish sorry

Step-by-step explanation:

Answer:

104,717

Step-by-step explanation:

multiplica 373990 por 28% es .28

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?

Answers

Answer:

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in [tex]a * 10^b[/tex]

From the question, we have:

[tex]People = 4.46 * 10^9[/tex]

[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year

The number of breath is calculated by:

[tex]Overall = People * Breath[/tex]

So, we have:

[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]

Reorder

[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]

[tex]Overall = 37.464* 10^{9+6}[/tex]

[tex]Overall = 37.464* 10^{15}[/tex]

Using scientific notation [tex]a * 10^b[/tex];

The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]

So, we have:

[tex]Overall = 3.7464 * 10 * 10^{15[/tex]

[tex]Overall = 3.7464 * 10^{16[/tex]

By comparing the above with: [tex]a * 10^b[/tex]

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

One batch of walnut muffins use 1 1/3 cups of walnuts.How many cups of walnuts are needed to 3 3/4 batches of muffins, answers are only 5 cups, 3 3/12 cups, 5 1/12 cups, and 4 cups, there are no 3 1/4 cups

Answers

Answer:

5 cups

Step-by-step explanation:

Let us set it up as a fraction.

[tex]\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}[/tex]

Step 1: Divide the given values

[tex]\frac{11}{3}\div 1 \\\\=\frac{11}{3}[/tex]

Step 2: Multiply the result by the other value

[tex]3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}[/tex]

So, with this solution, the answer is [tex]13\frac{1}{4}[/tex]. However, the answer isn't included in the options provided, so that means the answer is 5 cups.

Select ALL of the expressions that are equivalent to 3(8-4x) A. (4x+ 8) + (4x+8) +( 4x+8) B. 24+12x C. -4x+24 D. 12x+24 E. - 12x-24

Answers

3(8 - 4x) is D

A. Should be 8 - 4x, not 8 + 4x

B. 3(8 - 4x) = 24 - 12x not 24 + 12x

C. Doesn’t make sense at all

D. 3(8 - 4x) = 24 - 12x Correct!

E. 3(8 - 4x) = 24 - 12x 24 shouldn’t be negative

Can someone help its math :)

Answers

Answer:

m<F = 53

Step-by-step explanation:

Exterior angles thm:

5x - 10 + 3x + 14 = 100

8x + 4 = 100

8x = 104

x = 13

m<F:

3x + 14

3(13) + 14

39 + 14

53

The function f(x) = { x + is used to complete this table. Which statements are true of the given function?
(-1,1) (0,3/2) (1,2) (2,5/2) ​

Answers

Answer:

i don't know

Step-by-step explanation:

can you explain? thank you

There are 3 oranges, 8 peaches, and 4 apples in a fruit basket. David selected one piece of fruit at random. He was hungry and ate that fruit. He then selected a second piece of fruit. What is the probability that he selects two peaches?

Answers

Answer:

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)

Step-by-step explanation:

Given:

Number of oranges = 3

Number of peach = 8

Number of apple = 4

Find:

Probabilty[First and second fruit is peach without replacement]

Computation:

Probablity of an event = Number of favourable outcomes / Number of outcomes

Probabilty[First fruit is peach] = 8 / [3 + 8 + 4]

Probabilty[First fruit is peach] = 8 / 15

Probabilty[Second fruit is peach] = [8-1] / [3 + 8 + 4 - 1]

Probabilty[Second fruit is peach] = 7 / 14

Probabilty[Second fruit is peach] = 1 / 2

Probabilty[First and second fruit is peach without replacement] = Probabilty[First fruit is peach] x Probabilty[Second fruit is peach]

Probabilty[First and second fruit is peach without replacement] = [8/15][1/2]

Probabilty[First and second fruit is peach without replacement] = 8 / 30

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)

Paul ran 12 miles in 1 hour and 36 minutes. What was Paul's average rate, in minutes per mile?

Answers

Answer:

8 miles per minute

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

8 minutes per mile

A new 54 inch flatscreen TV cost $1245 at Best Buy. If Harry has a 15% off coupon what will he pay for the TV

Answers

Answer: 1,058

Step-by-step explanation:

5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of the bigger container which can be filled by each of the above containers exactly without leaving a remainder when used seperately?

Answers

Answer: 1008

Step-by-step explanation:

Given

5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.

The volume of big container is the LCM of the 5 given containers

[tex]LCM(16,72,12,24,56)=1008[/tex]

Therefore, the capacity of the bigger container is 1008 litres.

The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why

Answers

Answer:

Median, because the data are skewed and there is an outlier

Step-by-step explanation:

yo hoped it helped

does anyone understand this?

Answers

Answer:

Hello! answer: 80

Step-by-step explanation:

When doing the Pythagorean theorem you do...

a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...

64 × 64 = 4096 48 × 48 = 2304

4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!

Answer:

c = 80 inches

Step-by-step explanation:

The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]

HELP DUE IN 15 MINS!
Write the equation of a circle that has a center of (-3, 4) and goes through the point (2, 1).

Answers

Answer:

Step-by-step explanation:

You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.

Left Side

(x + 3)^2 + (y - 4)^2 = r^2

Right Side.

x1 = - 3

x2 = 2

y1 = 4

y2 = 1

Use the distance formula to get r^2

r^2 = (x2 - x1)^2 + (y2 - y1)^2

r^2 = (2 - - 3)^2 + (1 - 4)^2

r^2 = 5^2 + (-3)^2

r^2 = 25 + 9

r^2 = 34

Answer

(x + 3)^2 + (y - 4)^2 = 34

Need help thanks please :)

Answers

Answer:

t:

[tex] \infty , - \infty [/tex]

meaning any number can substitute t and it would be the same answer.

Please solve this for me!

4c + 36 divided by 3 + 4(1 + 2) if c = 5

Answers

Answer:4 or 3.70

Step-by-step explanation:

well if c = 5 you should 1st do 4 x 5= 20 + 36 and that equals 56

now do (1+2)=3 x 4 =12 + 3 =15

now not sure what ur answers are but i got either 4 or 3.70

Good Luck!!!

What is the reciprocal function of sine?
A. Cosine
B. Cotangent
C. Cosecant
D. Secant

Answers

Answer: its a C

Step-by-step explanation: The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

Please help! I will give brainliest to the first correct answer!

Answers

Answer:

A)

Step-by-step explanation:

check that the formula in A works . . .

the 7th term should be 320

a(320) = 5(2)^7-1

= 5(2)^6

= 5(64)

= 320

Find the area of the figure below.
15 m
12 m
18 m
a. 431.59 m2
b. 395.59 m²
O c. 1,042.37 m²

Answers

Answer:

b. 395.59 m²

Step-by-step explanation:

It's honestly a lot to explain however I can explain if you want me too. Just let me know!

We can write the area of the given figure as 431.59 square meters.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is a figure as shown in the image.

It is asked to find the total area of the given figure.

We can write the area of the figure as -

Area = Area{triangle 1} + Area{rectangle} + A{triangle 2} + A{semi circle 1} + A{semi circle 2}

Area = {1/2 x 12 x 15} + {12 x 15 - √(18² - 12²)} + {1/2 x 12 x √(18² - 12²)} + {π(18² - 12²)/2} + {π(15² + 12²)/2}

Area = 431.59 square meters

So, it can be concluded that the area of the given figure as 431.59 square meters.

Therefore, we can write the area of the given figure as 431.59 square meters.

To solve more questions on areas, visit the link-

https://brainly.com/question/29213222

#SPJ7

Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft

Answers

Answer:

195 answer.plus minus plus minus plus minus

The bar graph shows the number of
members of the Athletic Booster Club
during various years.
In which year was the membership 40% greater than it was in 2012?

Answers

Answer:

The anwser is 2015, hope this helps out

Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?

Answers

Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

Answer is $0.3 hope this helps

What is the greatest common factor of 5 x 7 ,30 x 4 and 10 x 3

Answers

1 for 5 x 7 … 30x4 is 2 and 10 x 3 is 10

(44=6x-1+9x,-5)

I don’t know how to answer this I just know it’s ( , -5)

Answers

Answer:

Step-by-step explanation:

(44=6x-1+9x.-5)

We move all terms to the left:

(44-(6x-1+9x.-5))=0

We add all the numbers together, and all the variables

(44-(6x+9x.-6))=0

We calculate terms in parentheses: +(44-(6x+9x.-6)), so:

44-(6x+9x.-6)

determiningTheFunctionDomain

-(6x+9x.-6)+44

We get rid of parentheses

-6x-9x.+6+44

We add all the numbers together, and all the variables

-6x-9x.+50

Back to the equation:

+(-6x-9x.+50)

We get rid of parentheses

-6x-9x.+50=0

We move all terms containing x to the left, all other terms to the right

-6x-9x.=-50

Three same-sized cubes are attached to the top of a rectangular prism as shown below
If 5 cm, b = 18 cm, and c = 2 cm, what is the surface area of the figure?
ANSWER ASAP!! PLEASE!!

Answers

Answer:

458 cm²

Step-by-step explanation:

5 × 5 × 2 + 5 × 18 × 4 = 50 + 360 = 410

2 × 2 × 4 × 3 = 48

410 + 48 = 458

Find the area of each regular polygon

Answers

the area of the triangle is 15.15699 or 15.2

the pentagon consists of 10 of the triangles so the area is 151.5699 or 151.6
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