A family has four children whose gender is unknown. If we randomly select one child from this family and find out that she is a girl, what is the probability that she is the only girl in this family

Answer:

B.  6

Step-by-step explanation:

The triangles are similar by AA Similarity.

The lengths of corresponding sides of the triangles are proportional.

AB/PQ = AC/PR

20/5 = 24/PR

4 = 24/PR

4PR = 24

PR = 6

Answer: PR = 6

Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

*remember to always be nice!

Have an outstanding day

The final Result is 36x/25

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

let the number be x

x is decreased by 40%

40% of x = 40/100 * x = 4x/10

After decreasing

= x- 4x/10

=6x/10

Again decreasing 40%

Then , the value will be

= 6x/10- 0.4*6x/10

=6x/10- 02.4x/10

= 3.6x/10

= 36x / 100

Learn more about algebra here:

https://brainly.com/question/953809

#SPJ5

Answer:

Option A -- 0.46

Step-by-step explanation:

The answer is the x-coordinate of the point of intersection, which is 0.46

The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.

From the information given, the equation is given as log(6x + 10) = log 1/2x

In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.

By using graphing, it can be deduced that one will draw both graph on the same coordinate place.

From the graph, y1 and y2 simply intersect at point (0.46,1.12)

Therefore, the curve intersect at approximately x=0.46.

Learn more about equations on:

https://brainly.com/question/1214333

Answer:

Slope=  [tex]\frac{-3}{5}[/tex]

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]

There is no diagram attached, however...

Let's say there is a 1:3 ratio of boys to girls.  If someone asks how many boys there are if there are 12 girls.  Just do 12/3 to get 4 then 4 * 1 to get 4.

Hope this helps <3

Answer:

On monday the frog eats 15 frogs, and 35 mosquitoes. On tuesday the frog eats 6 flys and 14 mosquitoes.

Step-by-step explanation:

The frog eats 3 flies for every 7 mosquitoes.

The values in the table represent ratios that are equivalent to this rate.

If the frog eats 5 times as many flies, he also eats 5 times as many mosquitoes.

If the frog eats 2 times as many mosquitoes, he also eats 2 times as many flies.

Answer:

B

Step-by-step explanation:

sohcahtoa for right triangles

Answer:

No, because triangle XYZ is not a right triangle

Step-by-step explanation:

Since this is not a right triangle, we cannot use trig functions

Answer:

x = 78°

Step-by-step explanation:

If we look at ΔBHD, we notice that x is an exterior angle and its remote interior angles are ∠D and ∠B so x = 31 + 47 = 78°.

Answer:

<4

Step-by-step explanation:

Look it up

Answer:

Complete the inequality for the domain.

−4  

✔ <=

x  

✔ <

4

Step-by-step explanation:

Answer:

lines KL and GH are skew

Step-by-step explanation:

they have no intersections nor are they parallel

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

Answer:-1

Step-by-step explanation:

Answer:

126°

Step-by-step explanation:

Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:

The degree of a full circle = 360°

To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:

[tex] \frac{35}{100}*360 [/tex]

[tex] \frac{35*360}{100} [/tex]

[tex] \frac{12600}{100} [/tex]

[tex] \frac{126}{1} [/tex]

[tex] 126 [/tex]

126° is formed by the edges of the yellow region.

Answer:A

Step-by-step explanation: if a•b=0 then either a=0 or b=0 or both

The statement of the zero product rule is if a•b=0 then either a=0 or b=0  or both.

We have given that the statements

if a•b=0 then either a=0 or b=0 or both

if a•b=0 then a=0 or b=0.

if a•b=0 then either a=0 or b=0 but not both

if a•b=0 then a=0.

We have to find the statement of zero divisors,

If R is a ring other than the zero ring, then 0 is a (two-sided) zero divisor, because any nonzero element x satisfies 0a = 0 = a0.

Then the zero product is defined as,

The zero product property states that if a⋅b=0 then either a or b equal zero

Therefore option A is correct.

if a•b=0 then either a=0 or b=0 or both.

To learn more about the zero product visit:

https://brainly.com/question/1463639

Answer:

From the calculation,

KL = 13

NM = √65

Hence KL ≠ NM

Therefore, the quadrilateral KLMN is not a Parallelogram.

Step-by-step explanation:

K(–5, –4), L(0, 8), M(7, 4), and N(8, –4)

Where we have vertices, (x1, y1) , (x2, y2)

We use the formula

√(x2 - x1)² + (y2 - y1)²

Side KL = K(–5, –4), L(0, 8)

√(x2 - x1)² + (y2 - y1)²

√(0 - (-5))² + (8 - (-4))²

√ 5² + 12²

√25 + 144

= √169

= 13

Side KN = K(–5, –4), N(8, –4)

√(x2 - x1)² + (y2 - y1)²

√(8 -(-5))² + (-4 - (-4))²

√13² + 0²

√169

=13

Side MN = M(7, 4), N(8, –4)

√(x2 - x1)² + (y2 - y1)²

√(8 -7)² + (-4 - 4)²

√1² + (-8)²

√1 + 64

√65

Side LM = L(0, 8), M(7, 4),

√(x2 - x1)² + (y2 - y1)²

√(7-0)² + (4 - 8)²

√(49)² +(-4)²

√ 49 + 16

√65

We were asked in the above question to prove that the quadrilateral with the given vertices is not a Parallelogram.

One of the characteristics of a Parallelogram is that the opposite sides are parallel and congruent to one another. This means that, the opposite sides are similar .

For the Quadrilateral KLMN above to be a Parallelogram, this means

KL = NM

From the above calculation,

KL = 13

NM = √65

Hence KL ≠ NM

Therefore, the quadrilateral KLMN is not a Parallelogram.

Answer:

31.52% increase (decrease)

Step-by-step explanation:

To find the decrease in the percentage of students from the previous year to the current year, you must establish a baseline to be your maximum (100%).  For this we'll use the 92 students.  From here, we need the current 63 students to establish the current percentage.

Simply:

63/92 == .6848 == 68.48%

So our current percentage of students is 68.48%.  We want the decrease of the students compared to the previous percentage so we'll need to do the maximum minus the current to get the change (or the decrease).

100% - 68.48% = 31.52%

Thus, the population increase (decrease) for this year is 31.52%.

Answer:

68.47

Step-by-step explanation:

63/92

Answer:

Rene = 18

Sister = 12

Step-by-step explanation:

Let

Rene's age be 6+x

Her sister's age be x

Given that:

6+x+10+x+10 = 50

To calculate their ages, we have to find out the value of x. To find the value of x, rearrange and solve the above equation:

6+x+10+x+10 = 50

26 + 2x = 50

2x = 50-26 = 24

x = 12

We said at the start that Rene's age was 6+x, so her age = 12+6 = 18

Rene's sister's age = x = 12

Hope this helps

Answer:

18 , 12

Step-by-step explanation:

R -Rene age

R-6= age of her sister

after 10 years Rene age=R+10

                        her sister age= R-6+10=R+4

so R+10+R+4=50

      2R+14=50

        -14      -14

       2R=36

       :2      :2

         R=18  ( Rene age)

          18-6=12 ( her sister age)

Answer:

The answer is 7 remainder 1

Step-by-step explanation:

5 in 36 places then take the remainder.

Hope it helps.

Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees.

What is m∠ABC?

m∠ABC = 60°

m∠ABC = 67°

m∠ABC = 120°

m∠ABC = 127°

m<ABC = 127

The measure of angle ABC is 127°.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is the figure depicting the statement given in the question [figure is attached with answer].

In ΔBCD, we can write -

∠BCD + ∠CDB + ∠DBC = 180°

60 + 67 + ∠DBC = 180

∠DBC = 180 - 127

∠DBC = 53°

Now -

∠ABC + ∠DBC = 180°

∠ABC = 180 - 53

∠ABC = 127°

Therefore, the measure of angle ABC is 127°.

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ6

Answer:

Step-by-step explanation:

x³-4x²+x-4=

=x²(x-4)+(x-4)

=(x-4)(x²+1)

=(x+4)(x-i²)

Answer:(x+1)(x-1)(x-4)

Step-by-step explanation:

Answer:

k = r/m

Step-by-step explanation:

Simply divide both sides of the equation by m to isolate k and get your answer:

r = mk

r/m = k/m

r/m = k

Answer:

6. E

7. D

8. 5,-8,34

Step-by-step explanation:

A. Parallel to the y-axis and passes through the point (3,5)

For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.

So what this means is that x = 3 is our line so E is correct

B. Perpendicular to the y-axis means it is parallel to the x-axis

It means is has no x intercept and thus its x value at any point in time is zero

So the equation is y = -5

or simply y + 5 = 0 which means D is correct

C. It is parallel to the line 5x -8y + 12 = 0

Thus: 8y = 5x + 12

dividing both sides by 8

y = 5x/8 + 12/8

y = 5x/8 + 3/2

y = 5x/8 + 1.5

Comparing this with the general equation of a straight line ;

y = mx + c

where m is that slope, this means that 5/8 is the slope of the line

Mathematically if two lines are parallel, they have equal slopes.

So we can say the slope of the other line too is 5/8

Now to find the equation of the other line, we can use the point-slope method

y-y1 = m(x-x1)

where (x1,y1) in this case is (-2,3)

So we have;

y-3 = m(x-(-2))

y-3 = 5/8 (x + 2)

8(y-3) = 5(x + 2)

8y -24 = 5x + 10

5x + 10 + 24 -8y = 0

5x -8y + 34 = 0

So A, B, C = 5, -8, 34

Answer:

39.1

Step-by-step explanation:

((31.7+ 42.8+26.4+x))/(4)=35

There are four things that you add, so you have to divide by 4. Your end result is 35, so set your equation equal to 35.

4 times 35 is 140.

The stuff remaining is 100.9 + x = 140

140-100.9 is 39.1

The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees

If we add the three sides of triangle so its total should be 180 degrees

So

= 55 + 65 + 60

= 180

Now

= 60 + 60 + 60

= 180

Now

= 57 + 58 + 65

= 180

And,

= 61 + 57 + 61

= 181

Therefore, The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees

Learn more about triangle here: https://brainly.com/question/11508323

Answer: its A

Step-by-step explanation:

Answer:

Hey there!

A proportional relationship would be a straight line, and this line clearly is not. Thus, this is not a proportional relationship.

Hope this helps :)

Answer:

no

Step-by-step explanation:

Without diving in the calculations you can notice that the line isn't straight so this is not a proprtional relationship

Answer:

       P - 2W

L = ------------

           2

Step-by-step explanation:

You are being asked to solve P = 2L + 2W for the length, L.

Let's isolate 2L on the right side by subtracting 2W from both sides:

P - 2W = 2L

Dividing both sides by 2 isolates L:

       P - 2W

L = ------------

           2

Answer:

[tex]\frac{(p + 2)m}{p}[/tex]

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

[tex]m = k * p[/tex]

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

[tex]k = \frac{m}{p}[/tex]

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

[tex]k = \frac{x}{p + 2}[/tex]

Equate both expressions of k; to give

[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]

Multiply both sides by p + 2

[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]

[tex](p + 2) * \frac{m}{p} =x[/tex]

[tex]x = (p + 2) * \frac{m}{p}[/tex]

[tex]x = \frac{(p + 2)m}{p}[/tex]

Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]

Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

Answer:

The upper bound for the perimeter of the rectangle = 427.76 cm

Step-by-step explanation:

To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.

Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges

Length = 127.3 cm

Width = 86.5 cm

Length can range from 127.25 cm to 127.34 cm

Breadth can range from 86.45 cm to 86.54 cm

The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.

Perimeter = 2 (L + B)

Upper bound of the perimeter

= 2 × (127.34 + 86.54)

= 2 × 213.88

= 427.76 cm

Hope this Helps!!!

Answer:

B

Step-by-step explanation:

The angle that has tan 5 / 12 is ∠ABC so A is not the answer. The angle that has cos 5 / 13 is ∠BAC so B is the answer.