a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?

Answer:

y = -5x/6 - 33/6

Step-by-step explanation:

The standard form of equation of a line in point slope form is y - y0 = m(x - x0)

m is the slope

(x0, y0) is the point on the line

First we need the slope of the given equation 5x+6y=11.

Rewrite in standard form;

5x+6y=11

6y = -5x + 11

y = -5/6 x + 11/6

Hence the slope is -5/6

Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6

Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;

y - y0 = m(x - x0)

y - (-3) = -5/6 (x - (-5))

y + 3 = -5/6(x+3)

6(y+3) = -5(x+3)

6y+18 = -5x - 15

6y+5x =-15 -18

6y+5x =-33

Express in slope intercept form

6y = -5x - 33

y = -5x/6 - 33/6

Answer:  69.43 cm

Step-by-step explanation:

Given: Arc length (JK) = 40.5 cm

Central angle ∠ JLK = 210°

Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]

[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]

Hence, Circumference = 69.43 cm

Answer:

Step-by-step explanation:

21 I think

Answer:

it's B-39

Step-by-step explanation:

I saw someone else with a gr at explanation and they were correct

Answer: 104 left handed students

Step-by-step explanation:

Ratio: 9:2

We should divide 468 by 9, use the number we find, and then multiply it by 2.

468 / 9 = 52

52 x 2 = 104.

There are 104 left-handed students in the school.

Hope this helps!

Answer:

Jerry's current balance is $41.

Step-by-step explanation:

We need to subtract what he spent, and add what he gained.

So:

(Money spent)

$18 + $20 = $38

(Current balance)

$52 - $30 = $22

(Current balance)

$65 + $22 = $87

$25 + $16 = $41

Current balance: $41

Answer:

-132

Step-by-step explanation:

hope it helps you out

Answer:

B. y=7x+3

Step-by-step explanation:

You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3

Answer:

B.  ZY

Step-by-step explanation:

The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.

Answer:

The width will be 1.5 feet and the length will be 1.25 feet.

Step-by-step explanation:

12/8=1.5

10/8=1.25

Answer:

2 3/4

Step-by-step explanation:

Step-by-step explanation:

0.2x = 20

The step that should be done is to multiply both sides by 5:

5(0.2x) = 5(20)

x = 100.

Answer:

(0,1)

Step-by-step explanation:

Answer:

18.8 cubic inches

Step-by-step explanation:

✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A

✔️Volume of Cup B = Volume of cylinder = πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 7 in.

Volume of cup B = π*1²*7 = 21.99 in.³

✔️Volume of Cup A = Volume of cone = ⅓πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 3 in.

Volume of cup B = ⅓*π*1²*3 = 3.14 in.³

✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)

Answer:

18.8 cubic inches

Step-by-step explanation:

the first person has it right

Answer:

33.3% of 1 liter of water per 1 liter of flour? i don't know just an assumption or guess not really that smart but tried(sorry if it is not right but I hope someone will correct me and also help you!)

Answer:

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

edge 2020

Answer:

its the second one

Step-by-step explanation:

Answer:

B. Subtract 28 from both sides

Step-by-step explanation:

2x + 28 = 40

      -28   -28

2x = 12

2x/2 = 12/2

x = 6

Ben will likely lay more bricks than Caleb. Because Ben has higher efficiency.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
As mentioned in the question,
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways.

Since They laid the same number of bricks, but Ben finished first.

Now, On Tuesday, they are going to work together to build the brick border of a patio. they work for the same amount of time on Tuesdays,
But Ben has higher working efficiency so Ben will lay more bricks than Caleb.

Thus, Ben will likely lay more bricks than Caleb.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Answer:

3.5 cm

Step-by-step explanation:

The computation of the approximate length of minor arc JH is as follows

As in the attached picture we can see that circle M is shown also the minor arc measures 25 degrees

Now the circle length is

= π × 16

= 50.26 cm.

Now this length would be proportional to 360 degrees

Let us assume the minor length arc JH be x

So, the equation would be

50.26 cm ÷  x cm = 360° ÷ 25°

x = 50.26 × 25 ÷ 360

x = 3.5 cm

Answer:

A. 3.5 cm

Step-by-step explanation:

In the picture attached, circle M is shown.

From the picture, minor arc JH measures 25°.

The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:

50.26 cm / x cm = 360° / 25°

x = 50.26*25/360

x = 3.5 cm

Answer:

The answer is ten or Letter C

Step-by-step explanation:

You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps!

Answer:

a

Step-by-step explanation: I think A because it makes the most sence plz tell me if i'm wrong

Answer:

[tex]\frac{-100(100+x)}{(x-100)}[/tex]

Step-by-step explanation:

Let the original price of the item = p

Let there was q% of increase on the original value, so

the printed price of the item, [tex]C= p+p \frac{q}{100}=p(1+\frac{q}{100})[/tex]

After a price reduction of x%, the has its price increased to its original value, so,

[tex]C-C\times \frac {x}{100} =[/tex] original price + increased price

[tex]p(1+\frac{q}{100})-p(1+\frac{q}{100})\times \frac {x}{100} = p+p[/tex]

[tex](1+\frac{q}{100})-(1+\frac{q}{100})\times \frac{x}{100} =2[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =2-1-\frac{q}{100}[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =1-\frac{q}{100}[/tex]

[tex](1+\frac{q}{100})\times \frac{x}{100} =\frac{q}{100}-1[/tex]

[tex]\frac{x}{100}+\frac{q}{100}\times\frac{x}{100}-\frac{q}{100}=-1[/tex]

[tex]x+x \times \frac{q}{100}-q=-100[/tex]

[tex]q(\frac{x}{100}-1)=-100-x[/tex]

[tex]q=\frac{-100(100+x)}{(x-100)}[/tex]

Hence, the percent of the increase is [tex]\frac{-100(100+x)}{(x-100)}[/tex]

Answer:

Step-by-step explanation:

yup its b i  checked

Answer:

60%

Step-by-step explanation:

add them all to 20

add 7 and 5 to get 12

12 over 20 is 60 percent

Answer:

5/80 = 0.0625

Answer:

Concept: Unit Conversion and Application

Answer:

Step-by-step explanation:

1 apple weights 225 g

Correct option is A. 7

Answer:

[tex]f[2-f^{-1}(x)]=x[/tex]

Step-by-step explanation:

Given function is,

f(x) = [tex]\frac{x-1}{2}[/tex]

Equation form of the function will be,

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

Interchange x and y,

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

Solve for y,

y = 2x + 1

Therefore, inverse of the function 'f' will be,

[tex]f^{-1}(x)=2x+1[/tex]

Now [tex][2-f^{-1}(x)][/tex] = 2 - [2x + 1]

                          = -2x + 1

Value of [tex]f[2-f^{-1}(x)][/tex] = f(2x + 1)

From the given function,

f(2x + 1) = [tex]\frac{(2x+1)-1}{2}[/tex]

            = x

Therefore, value of  [tex]f[2-f^{-1}(x)]=x[/tex]

Answer

2 packs of crayons

Step-by-step explanation:

5 packs of markers