Math Question: About percentages

Fred's age is 13 years

Let

Fred's age = x

Jack's age = 2x + 4

After 8 years:

= 2x + 12

Sum of their ages = Fred's age + Jack's age

59 = (x + 8) + (2x + 12)

59 = x + 8 + 2x + 12

59 = 3x + 20

59 - 20 = 3x

39 = 3x

x = 39/3

x = 13 years

Therefore, Fred's age = 13 years

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Linear equation is the equation of a straight line.

Forms of a linear equation

The forms of a linear equation are:

Slope intercept form

From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation

Point slope form

From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation

Standard form

From the standard form, the values of x and y can be easily calculated.

Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.

Read more about linear equations at:

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Answer: q -> p

Step-by-step explanation: You've got it right! To find the converse, you switch the first and second halves of the statement and keep it positive.

Answer:

q→p

Step-by-step explanation:

The converse is a type of mathematical statement that changes the conditional statement. If the conditional statement is p→q then the converse is q→p. This is because the converse of a statement reverses any type of statement. For example, if the conditional statement is: if an angle has 90 degrees, then it is a right angle. Then, the converse would be: if an angle is a right angle, then it has 90 degrees.

Answer:

n^3( 4n+1)

Step-by-step explanation:

4n^4 + n^3

2*2*n^3*n + 1*n^3

Factor out the common terms

n^3( 4n+1)

Answer:

this is the same quiestion i was doing if u get answer plz send me

Answer:

side A should be about 44cm

Answer:

x = 90

Step-by-step explanation:

Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!

60 + 30 + b= 180

a + x = 180

60 + 30 + b= 180

90 + b = 180

b = 90

90 + x = 180

x = 90

exterior angle  equal to the sum of its two opposite non-adjacent interior angles.

Answer:

D

Step-by-step explanation:

f(x) = x^2+1 at x=-1, f(-1)=1+1=2

Answer:

SSS Postulate

Step-by-step explanation:

The first says 2 sides are the same

The second says 2 sides are the same

The last says 2 sides are the same

Side side side

SSS Postulate

Answer:

yo what concept is this

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

since y=5x/2-7, and y=4x/3

         so 5x/2-7=4x/3

              5x/2-4x/3= 7

              15x-8x/6=7

               7x/6=7

               x= 7*6/7= 6

Answer:

268 in ^2

Step-by-step explanation:

SA=2lw+2lh+2hw

width = 4    lenth = 6     height = 11

2(6)(4) + 2(6)(11) + 2 (11)(4)

= 2 (24) + 2(66) + 2 (44)

= 48 + 132 + 88

= 268 in ^2

Answered by G a u t h m a t h

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

Answer:

Step-by-step explanation:

A( 3 , 4)  &   C(5 , 8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]

M is the midpoint of AB

A(3,4)  &B(7,4)

[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]

M(5,4)

Answer:

Vertex= (0,4)

Domain= x: all real number

Range: ( - ∞, 4] or y ≤ 4

OAmalOHopeO

9514 1404 393

Answer:

  C

Step-by-step explanation:

It's about making up a rule that gets from one figure to the next. Here's the rule I used:

The bottom left segment is rotated 1/8 turn CW from one figure to the next.

The top middle segment is rotated 1/4 turn CW from one figure to the next.

After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.

Answer:

kun vannu vayeko hoo bujena ni saathi yo question complete xa ta.

Answer:

Is the collection of nice Nepali songs a set ? Why ?

=⟩ yes the collection of nice Nepali songs a set Because it can be collected on bracket .

Answer:

Does the answer help you?

Answer:

D (7a-3)/4

Step-by-step explanation:

7a – 4b = 3

Subtract 7a from each side

7a-7a – 4b = 3-7a

-4b = 3 -7a

Divide by -4

-4b/-4 = (3-7a)/-4

b = (7a-3)/4

Answer:

b = (7a - 3)/4

Step-by-step explanation:

7a - 4b = 3

=> -4b = 3 - 7a

=> b = (3 - 7a)/(-4)

=> b = -(3 - 7a)/4

=> b = (-3 + 7a)/4

=> b = (7a - 3)/4

Answer:

B. PM = NP

Step-by-step explanation:

Answer:

-10ab

STEP BY STEP EXPLANATION

2a (3a + b) -3a(2a +4b)

6a² + 2ab - 6a²- 12ab

2ab-12ab 6a²-6a²

-10ab

Hope this will help you if not then sorry :)

Answer:

[tex]2a( 3a + b)- 3a(2a+4b)[/tex]

Expand by distributing terms.

[tex]6a ^{2} +2ab-3a(2a+4b)[/tex]

Expand by distributing terms.

[tex]6a 2+2ab-(6a^{2} +12ab)[/tex]

Remove parentheses

.[tex]6a ^{2} +2ab-6a^{2} -12ab[/tex]

Collect like terms.

[tex](6a^{2}-6a^{2})+(2ab-12ab)[/tex]

[tex]=-10ab[/tex]

OAmalOHopeO

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

Answer:

26

because a is gone in b than

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{8 + 12 + 16 + 10 + 18 + 15 + 22 + 16 + 14 + 17}{10} \\ = > mean = \frac{148}{10} \\ = > mean = 14.8[/tex]

This is the answer.

Answer:

10

Step-by-step explanation:

i looked it up to be sure but if wrong very sorry.

Answer:

anything raised to the power of zero= 1

(1+1/4^½)²

(1 + 1/2)²

(3/2)²

9/4

=2.25