a man is 3 times as old as his son. the sum of their ages is 48 years, how old is the son?

Answer:

look at the photo I have sent

you wearing a mask right now???

Answer:

If you are asking,

5x - 4x^2=0

x(5-4x)=0

Either,

x=0

or,

5-4x=0

x=5/4

If factor,

5x - 4x^2

x(5-4x)

If difference,

5x - 4x^2

The same as they are not like terms.

Answer:

x = 16

Step-by-step explanation:

m<B+m<C+m<D = 180°

5x + 14 + x + 19 + 2x + 19 = 180

8x + 52 = 180

8x = 180 - 52

x = 128/8

x = 16

Answer:

2/6 + ⅓ + ½

= (2+2+3)/6

= 7 / 6

= 1⅙

Step-by-step explanation:

brainliest plz

Answer:

1  1/6

Step-by-step explanation:

Find the common denominator for 6, 3, 2

6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.

Convert all the fractions into sixths.

The first fraction is already done.

1/3.....  the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.

1/3 x 2/2 = 2/6

1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.

1/2 x 3/3 = 3/6

Now you have

2/6 + 2/6 + 3/6 = 7/6

Simplify the answer

6/6 = 1  so remove 6/6 from 7/6 and you are left with just 1/6

So your answer will be 1 and 1/6  or  1  1/6

Answer:

47 mph

Step-by-step explanation:

1 day = 24 hours, so 2 days = 48 hours.

2274/48 (2274 miles per 48 hours, simplify!) This equals 47.375. Round it down to 47 mph.

This is assuming the car took no breaks.

Hope this helps!

Answer:

x=-4

Step-by-step explanation:

Multiply both sides by 50 and you get

3-x =7,

so x= -4

Answer:

[tex]2 \times { (- 2)}^{n - 1} [/tex]

Step-by-step explanation:

oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?

it is simple, the first number is the x value, and the second number is the y value.

so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.

if yes, then that pair is a solution.

(6, -33)

-33 >= -8×6 +7

-33 >= -48 + 7

-33 >= -41 true, -33 is indeed bigger than -41

in the same way as -1 is bigger than -2.

(-1, 12)

12 >= -8×-1 + 7

12 >= 8 + 7

12 >= 15 false

(8, -65)

-65 >= -8×8 + 7

-65 >= -64 + 7

-65 >= -57 false

(2, -1)

-1 >= -8×2 + 7

-1 >= -16 + 7

-1 >= -9 true, -1 is bigger than -9

(-6, 47)

47 >= -8×-6 + 7

47 >= 48 + 7

47 >= 55 false

Answer: (-2,-2)

Step-by-step explanation:

Start at finding the y-intercept(-3) then do rise over run with -2x

Rise over run is count up/down then left/right

Answer:

x²

Step-by-step explanation:

x³ - 1 ÷ x + 2

the first term of the quotient is x³ ÷ x = x²

This is an exponential growth function.

If we look at the number that is raised to the power of x, it is greater than 1. Though there is a fraction within this equation, it is not affected by the exponential.

Hope this helps!! :)

Answer: A

Step-by-step explanation:

        You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)

       To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.

      We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:

[f(x)] y = -2x + 2

[switch] x = -2y + 2

[subtract 2 from both sides / flip equation] -2y = x - 2

[divide both sides by -2] y = -2x -4

So our equation for g(x) will be about y = 2x -4

(inverse so the negative is weird)

Photos:

- first is y=x

- second is the general idea of the inverse for what g(x) should look like

- third is kinda what the graph will look like (digitally)

I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D

Answer:

you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books

Answer:

7.5

30

÷

4

__

7.5

4×6=24

4×7= 28

4×8= 32

4×8= X

4×7.5= 30

Answer:

1. X is the midpoint of AG; given

2. X is the midpoint of NR; given

3. AX and XG are congruent; statement 1

4. NX and XR are congruent; statement 2

5. angle AXN and angle RXG are congruent; vertical angles are congruent

6. Triangle ANX and triangle GRX are congruent; make the correspondence A <-> G, X <-> X, N <-> R, and Side-Angle-Side Congruence Theorem.

Step-by-step explanation

Statements Reason

1. angle1 is about angle2 Vertical Angles

2. X is the midpoint of lineAG Given

3. lineAX is about lineGX Definition of midpoint

4. X is the midpoint of line NR Given

5. lineNX is about lineRX Definition of midpoint

6. planeANX is about planeGRX SAS

Answer:

so yes it does :)

Step-by-step explanation:

There is a fourth category of triangles in which one of interior angles is of 90∘ . It is called right triangle. 1) 12,16,20 : 202=162+122 : True, hence right triangle

Answer:

maybe 34 ? or 180-34 =146

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

The two angles are congruent so x would be the same.

Jesus Loves You!

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]

Answer:

a) 5/4

b) y = 5/4x + 27

Step-by-step explanation:

To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.

4y - 5x = 2

4y = 5x + 2

y = 5/4x + 1/2

m(gradient) = 5/4

For lines to be parallel, simply keep the gradient the same.  Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.

Hope it helps :)

Answer:61,493

Step-by-step explanation:

I just used a calculator

Answer:

here is the answer

Step-by-step explanation:

Answer:

x2 and 7x

Step-by-step explanation:

thats correct

x2 + 7x =18

Answer: The Car is moving at a Constant positive speed

Step-by-step explanation:

the car is going in a positive direction at a time in which doesn't change so it is at a constant speed

Answer:

x = 6

Step-by-step explanation:

110 and 19x - 4 are alternate exterior angles and are congruent, then

19x - 4 = 110 ( add 4 to both sides )

19x = 114 ( divide both sides by 19 )

x = 6

Answer:

l want to do all your math

Answer:

<XPE = <ENY

Step-by-step explanation:

<1=<2 (GIVEN)

SO <3+<4= <5+<6

<3=<4 (PE Bisects <APN)

<5=<6 (EN bisects <ANP)

so <3=<5

than <XPE=< ENY

Answer:(x - 4)(2x + 3)

FOIL = first,outside,inside,last

F -- so multiply first terms in each set....(x)(2x)

O -- multiply outside terms in each set...(3)(x)

I -- multiply inside terms in each set....(-4)(2x)

L -- multiply last terms in each set.......(-4)(3)

Step-by-step explanation: