Q7.
There are 15 children at a birthday party.
The mean age of the 15 children is 7 years.
9 of the 15 children are boys.
The mean age of the boys is 5 years.
Work out the mean age of the girls.

Answer:

x = -7

Step-by-step explanation:

Seven times a number and seven is equal to six times a number.

Word problems can be tricky no matter what level of math or science you are in.

First look at the question for words that indicate mathematical symbols.

"times" indicates multiplication

"and" indicates addition

"a number" means we have a variable, x, to solve for

Now we can go from left to right and write it in a mathematical equation

7x + 7 = 6x

Then, solve for x

7x + 7 = 6x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

Finally, we check our work.

7x + 7 = 6x

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42 √

The answer is x = -7

Answer:

$129.00 is the correct answer

Step-by-step explanation:

..

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

Answer:

Step-by-step explanation:

You can use sen30° to solve it:

Since Sen=Opposite side / diagonal

Sen30° = OS/D

1 / 2 = x / [tex]2\sqrt{3}[/tex]  

2x = [tex]2\sqrt{3}[/tex]  

x = [tex]\sqrt{3}[/tex]

Answer:

https://www.arlingtonschools.org/cms/lib/NY02215626/Centricity/Domain/5167/Skill39AK.pdf

Step-by-step explanation:

Answer:

[tex]P(G\ then\ R)=0.045[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of  Green beads [tex]P_g=18[/tex]

Percentage of  Red beads    [tex]P_r=18[/tex]

Percentage of Purple beads [tex]P_p=18[/tex]

Therefore

Probability of choosing a Green bead is

 [tex]P(G)=0.18[/tex]

Probability of choosing a Red bead is

 [tex]P(R)=0.25[/tex]

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

 [tex]P(G\ then\ R)=0.18*0.25[/tex]

 [tex]P(G\ then\ R)=0.045[/tex]

Answer: 40.5

Step-by-step explanation:

Answer:

its the one with 2000$ in it

Step-by-step explanation:

Answer:

0.01

Step-by-step explanation:

1% = [tex]\frac{1}{100}[/tex]

0.01

Answer:

1,024 ÷ by how many number of rounds= x

Answer:

1,024(0.50)^x That is the answer......................................

Answer:

58 units squared

Step-by-step explanation:

**I'm doing the question with the 7 by 3 triangle in the picture, not 777 by 333**

Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where c is the length of the hypotenuse.

The given sides are legs, therefore, [tex]3^2+7^2=c^2[/tex]

[tex]9+49=c^2; 58=c^2; c=\sqrt{58}[/tex]

c is also one of the sides of the square. A square's area is one of the sides' lengths squared, so:

[tex](\sqrt{58}) ^{2}=58[/tex]

Answer:
58

Step-by-step explanation:

We can use the Pythagorean theorem to find the area of the square for the third side.

The equation for the Pythagorean theorem is

a^2 + b^2 = c^2

where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

3^2+7^2=x^2

9+49=x^2

58=x^2

The area of the square for the third side of the triangle is 58 units^2 squared.

Answer:

polygon is regular. Round answer to the nearest tenth

Step-by-step explanation:

Answer:

26°

Step-by-step explanation:

use the inverse trig functions (in this case, sin^-1)

sin^-1(4/9)

Answer:

26.39

Step-by-step explanation:

khan

Answer:

it's an equilateral triangle, so all the angles will be equivalent.

2x + 2x + 2x = 180

6x = 180

x = 30°

Answer:

30

Step-by-step explanation:

So, the solve this, lets first find the type of traingle it is.

Well, all the sides are equal, beign 3, so it must be a equalaterial triangle.

This means both the sides and angles will be the same.

Remember, there are 180 degrees in a triangle.

So we can think of it like this, since there are 3 angles, each being 2x:

6x=180 degrees

Now we can just get x alone by divide by 6:

x=30

So your answer is 30!

I hope this helps! :)

Answer:

134

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

3×X =6×4

3X=24

X= 24÷3

X= 8

The equivalent value of the proportion is ( 3/4 ) = ( 6/8 ) and x = 8

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

( 3/4 ) = ( 6/x )

Multiply by x on both sides , we get

( 3/4 )x = 6

Divide by 3 on both sides , we get

( 1/4 )x = 2

Multiply by 4 on both sides , we get

x = 8

Hence , the proportion is ( 3/4 ) = ( 6/8 )

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:the first ans  (f(x)=(1/x+2)+3

Step-by-step explanation:

Answer:

Its the first one

Step-by-step explanation:

f(x) = 1/x + 2 + 3

Answer:

3.39

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

Triangle - 3 Sides         Square - 4 Sides

Pentagon - 5 Sides Hexagon - 6 sides

Heptagon - 7 Sides Octagon - 8 Sides

Nonagon - 9 Sides Decagon - 10 Sides

Answer:

Triangle 3

Quadrilateral 4

Pentagon 5

Hexagon 6

Answer:

3÷4 = 0. 75

1 ÷ 2 = 0 . 5

Step-by-step explanation:

3 ÷ 4 = 0 . 75

1 ÷ 2 = 0 . 5

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3

Answer:

5.65685424.

Step-by-step explanation:

Square Root of 32: √32 = 5.65685424...

Answer:6

Step-by-step explanation:

Answer:

y= 8/7x+ 37/7 for the equation that the line passes

Answer:

y+5=8/7(x+9)

Step-by-step explanation:

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

Answer:

[tex]x {3}^ + 3x {2}^ - 10x - 24 [/tex]

hope it helps!!!!!!!!!!