the sum of 16 numbers is 240.The average of 6 of those numbers is 10. the average of the remaining numbers is

Answer:

boy = 14 yrs

Step-by-step explanation:

29-4=25

25-11=14

The value of x is [tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{x} + \sqrt{x + 2} = 2[/tex]

Rearranging the radical on left side,

[tex]\sqrt{x + 2} = 2 - \sqrt{x}[/tex]

Power on both sides,

[tex](\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2} [/tex]

Simplifying the left,

[tex]x + 2 = (2 - \sqrt{x} )^{2}[/tex]

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

[tex] = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} [/tex]

Now calculating its powers,

[tex] = > x + 2 = 4 - 4\sqrt{x} + x[/tex]

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

[tex] = > 4 \sqrt{x} = 4 + x - x - 2[/tex]

Now the +x and -x will be cancelled,

[tex] = > 4 \sqrt{x} = 4 - 2[/tex]

[tex] = > 4 \sqrt{x} = 2[/tex]

Bringing 4 to the right side, it becomes the denominator,

[tex] = > \sqrt{x} = \frac{2}{4} [/tex]

[tex] = > \sqrt{x} = \frac{1}{4} [/tex]

Now powering both sides,

[tex] = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}[/tex]

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

Answer:

Step-by-step explanation:

Scalene (no equal side): 4th triangle

Isosceles (two equal sides): 1st, 2nd, and 4th triangle

Equilateral (all equal sides): 3rd triangle

Hope this helps!

Answer: 1/16

Step-by-step explanation:

1/2 - 1/16 = 8/16 - 1/16 = 7/16

7/16 / 7 = 1/16

Answer:

[tex]{\boxed{\sf{x = \dfrac{1}{16}}}}[/tex]

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

To solve this equation we will follow the given concept :

[tex]{:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(1 \times 8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{7}{16}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16} \times 1}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16}}}}[/tex]

[tex]{ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}[/tex]

Hence, the value of x is 1/16.

[tex]\rule{300}{2.5}[/tex]

Answer:

D. -3x+3y

Step-by-step explanation:

Start by distributing the -3 to each term in the parentheses:

-3(x)+(-3)(-y)

Here are some multiplication sign rules that will make this problem easier:

- - make a +

- + make a -

+ - make a -

+ + make a +

-3x+3y (note that since both 3 and y are negative, they make a positive)

Answer:

5,314,411,000,000,000,000

Step-by-step explanation:

5.31441* 10^17 = 5,314,411,000,000,000,000

Answer:

hola

Step-by-step explanation:

cómo estás yo bien compita

Answer:

yes

Step-by-step explanation:

there is because in the graph your trying to figure out man idek how to word it you got it from here

Answer:

try asking a parent or brother/sister

Answer:

x=130

Step-by-step explanation:

triangle=180

180-34-96=50

line=180

180-50=130

Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

Answer:

the answer is is is is is is is is .............. 194,000

Answer:

83.33%

Total no. of students = 720

No. of students who failed = 120

Therefore no. of students passed = 720 120= 600

Therefore pass percentage = 600/720* 100 = 83.33%

Step-by-step explanation:

I hope it will help you...

[tex]kai6417[/tex]

#carryonlearning

[tex]% = \frac{parts}{whole} * 100%[/tex]Answer:

Step-by-step explanation:

Hi there,

I have given the answer in the images attached below in order , please do check it out.

If you found my answer helpful please do consider marking me as brainliest as that would mean a lot to me.[tex]e[/tex]

Answer:

(x,y) (9,4)

Step-by-step explanation:

-2x+7y = 10

x -3y = -3 (move x to the other side)

-2x +7y = 10

x = -3 + 3y (put in for x)

-2 (-3 +3y) +7y =10 ( slove for y)

6-6y +7y = 10

6+y = 10

y = 10-6

y = 4

go back slove for x

x = -3+3x4

x = 9

Answer:

87 x 54 - 200 divided by 7
solving-4669[3|7] , 4669.428571
answer-32686.7

Step-by-step explanation:

Answer:

It is OC) 11,700 yd.

Step-by-step explanation:

when finding new area, take you 2 numbers, 52 and 15, square the 15,  then multiply them 52 x 15^2 = 11,700

Answer:

C) 11, 700 yd²

Step-by-step explanation:

Let [tex]x[/tex] = width of a rectangle

Let [tex]y[/tex] = length of a rectangle

Area of a rectangle = width x length

⇒ area = [tex]xy[/tex]

If a rectangular garden has an area of 52 yd²

⇒ [tex]xy[/tex] = 52

If the length and width are multiplied by 15:

⇒ new width = [tex]15x[/tex]

⇒ new length = [tex]15y[/tex]

⇒ area = [tex]15x \times 15y=225xy[/tex]

If xy = 52,  

new area = 225xy = 225 x 52 = 11700

Answer: 29

Step-by-step explanation:

4y + 4 + 60 = 180

4y = 116

y = 29

Answer: -101/18

Step-by-step explanation: I think, I don’t know

Answer:

a) m line over OR=108 degrees =0.6[tex]\pi[/tex]

b) m <QSR=108 degrees

Step-by-step explanation:

Volume of a sphere:

V = (4/3)πr³

Circumference of a sphere:

C = 2πr

Surface area of a sphere:

A = 4πr²

above are important sphere related equations

so to find the surface area plug in values for equation

A= 4πr²

= 4 × 3.14 × 5.4 ×5.4

= 366.25 mm²

Answer:

A=40

Step-by-step explanation:

5+8=13

104/13=8

5*8=40

8*8=64

A=40

She can afford to pay $1296 per month.

Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:

Therefore, she can afford to pay $1296 per month.

Learn more about calculus in https://brainly.com/question/14478573

Answer:

(1) The first quartile of standard normal distribution is -0.67.

(2) The third quartile of standard normal distribution is 0.67.

(3) The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.74%.

Explanation:

A standard normal distribution has mean 0 and variance 1.

(1)

The first quartile of any data is the value below which 25% of the data lie.

That is, P (Z < z) = 0.25.

The value of z is -0.67.

Thus, the first quartile of standard normal distribution is -0.67.

(2)

The third quartile of any data is the value below which 75% of the data lie.

That is, P (Z < z) = 0.75.

The value of z is 0.67.

Thus, the third quartile of standard normal distribution is 0.67.

(3)

In case of a standard normal distribution values lying outside the range

(Q₁ - 1.5 IQR, Q₃ + 1.5 IQR)

are considered as outlier.

Compute the range as follows:

Compute the probability of (Z < -2.68) and P (Z > 2.68) as follows:

The probability of a value being an outlier is,

P (Outlier) = P (Z < -2.68) + P (Z > 2.68)

                = 0.0037 + 0.0037

                = 0.0074

The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.0074 × 100 = 0.74%.

Step-by-step explanation:

Hope this helped...

Answer:

I think there should be 950 at the first .. then the answer will be subtract 150

Answer:

85 adult tickets

150 children tickets

Step-by-step explanation:

we can write a system of equations and then use the 'elimination method':

let a = adult tickets

let c = children tickets

a + c = 235

5a + 2c = 725

we can multiply the first equation by -5 to get:

-5a - 5c = -1175

now we can add the second equation to get:

5a + 2c = 725

-3c = -450

c = 150

a + 150 = 235

a = 85

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{AB}[/tex]=cos60

x=[tex]\frac{AB}{2}[/tex]=[tex]\frac{11}{2}[/tex]

in a right angled triangle cosA=[tex]\frac{adjacent}{hypotenuse}[/tex]

so cosB=[tex]\frac{x}{11}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{x}{11}[/tex]

x=[tex]\frac{11}{2}[/tex]

Answer:

Step-by-step explanation:

x is the smallest side because it is opposite of 30° angle.

The side opposite to 30° is half the hypotenuse:

Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

Answer:

A) precision

Step-by-step explanation:

Hope this helps ! :)