Consider the following expression and determine which statement are true.

9514 1404 393

Answer:

Step-by-step explanation:

10 years ago, the sum of their ages was 65 -2·10 = 45.

If Karl was twice as old as Eddie, his contribution was 2/3 of the sum and Eddie's was 1/3. That is, Karl was (2/3)(45) = 30 and Eddie was 15 at that time.

Now, Karl is 40 and Eddie is 25.

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This can be solved using a system of equations.

  e = 65 -k

  (k -10) = 2(e -10)

Substituting the first equation into the second gives ...

  k -10 = 2((65 -k) -10)

  k -10 = 110 -2k . . . . . . . simplify

  3k = 120 . . . . . . . . . . . . add 10+2k

  k = 40

  e = 65 -40 = 25

Answer: 108 sq units

Step-by-step explanation:

Multiply

Answer:

Step-by-step explanation:

Answer:

1st pic:

x = 49

top angle = 45

bottom angle = 108

far right angle = 27 degrees

2nd pic:

angle 1 = 88 degrees

angle 2 = 57 degrees

angle 3 = 35 degrees

angle 4 = 145 degrees

Step-by-step explanation:

1st pic:

you can find the far right angle by taking 153 and subtracting it from 180:

⇒ 180 - 153 = 27 degrees

you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180

combine like terms ⇒ 3x + 33 = 180

subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147

divide 3 on each side: ⇒ [tex]\frac{3x}{3} = \frac{147}{3}[/tex]

x = 49

to find the top and bottom angles, substitute 49 for x:

top angle : x - 4

49 - 4 = 45 degrees

bottom angle: 2x + 10

2 x 49 + 10 = 108 degrees

2nd pic:

angle 1:

⇒ 180 - 92 = 88 degrees

angle 2:

⇒ 180 - 123 = 57 degrees

angle 3:

⇒ 180 - (88 + 57) = 35 degrees

angle 4:

⇒ 180 - 35 = 145 dgerees

Answer:

Earth's outer core is a fluid layer about 2,400 km (1,500 mi) thick and composed of mostly iron and nickel that lies above Earth's solid inner core and below its mantle. Its outer boundary lies 2,890 km (1,800 mi) beneath Earth's surface.

about 2,400 km

Step-by-step explanation:

im sorry i  try  

Answer:

5-2x=4-2x+4+x=8-x

x=5-8=-3

Answer:

The answer is B. One solution.

Answer:

∡IEF=∡SRV

∡HIE=∡TSR

∡GHI=∡UTS

∡FGH=∡VUT

∡EFG=∡RVU

Step-by-step explanation:

I didn't know how you needed them labeled so hope this helps.

If not try just putting hoops

from each side over the letter in the corner on the inside. Then each one will get one more than the other.

I.E. u and g get 1, f and v get 2, e and r get 3, i and s get 4, and h and t get 5.

Answer:

m=15

Step-by-step explanation:

Answer:

<PTR+<RTS=180 LINEAR PAIR

<PTR=180-20=160°

Step-by-step explanation:

IN QUADRILATERAL PQRT

<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360

85+<Q+70+160=360

<Q=360-315=45°

angle PQS=45°

Answer: x > -3

Step-by-step explanation:

Answer:

x>-3

Step-by-step explanation:

Answer:

$3.6

Step-by-step explanation:

15x24=360 360/100=3.6

Answer:

thats not easy

Step-by-step explanation:

Answer:

-17 and -1

Step-by-step explanation:

Answer: Choice A)  8x+2 = 14x-76

==============================================================

Explanation:

Since lines A and B are parallel, this makes the corresponding angles (8x+2) and (14x-76) to be equal.

So the equation we need to solve is 8x+2 = 14x-76

If you solve that equation, you should end up with x = 13. Plugging x = 13 into either 8x+2 or 14x-76 would lead to the result of 106. So each corresponding angle is 106 degrees.

Answer:

8x+2=14x-76

(the first answer)

Step-by-step explanation:

Corresponding Angles

Answer:

2x^2 + 3x - 2

Step-by-step explanation:

=> area of rectangle = length*width

=> length = (2x -1)

=> width = (x + 2)

=> area = (2x - 1) (x + 2)

=> area= 2x(x + 2) - 1(x + 2)

=> area = 2x^2 + 4x - 1x - 2

=> area = 2x^2 + 3x - 2

hope it helps

Answer:

Check pdf

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

p/5=30

p=30*5

p=150

Answer:

Answer is D. 75 cm2

Step-by-step explanation:

The closest estimate to 70.2 is 75 cm2

Hopefully this helps

Answer:

D 25.o m2

Step-by-step explanation:

v = L*w*H

V=5M*5M*5M=125.0M cube

there fore area is L*W

L*W=area squer

a=5*5=25.0m square

Answer:

Step-by-step explanation:

x - 5 = 0.1(x +5)

x - 5 = 0.1x + 5*0.1

x -5 = 0.1x + 0.5 {Add 5 to both sides}

  x = 0.1x + 0.5 + 5

  x = 0.1x + 5.5

x -0.1x = 5.5      {subtract 0.1x from both sides}

  0.9x =5.5         {Divide both sides by 0.9}

        x = 5.5/0.9

       x = 55/9

       x = 6 1/9

Answer:

Step-by-step explanation:

x - 5 = 0.1(x + 5)           {multiply both sides by 10}

10x - 50 = x + 5            {subtract x from both sides}

9x - 50 = 5                   {add 50 to both sides}

9x = 55                         {divide both sides by 9}

x = ⁵⁵/₉ = 6¹/₉

Answer:

The answer is y=5x

Step-by-step explanation:

Answer:

6 mangoes

38p in return

Step-by-step explanation:

Answer:

(2y+14.6m+3.8)-(34.8m+15.6+2y)

-20.2m-11.8

Answer:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

y= −1/2x+8

Step-by-step explanation:

Hope it is helpful...

Hey there!

The answer is y = [tex]\frac{-1}{2}[/tex]x + 8

To put it into slope-intercept form, we must get "y" by itself on one side of the equation. First, to do this, we will subtract "x" from both sides.

2y = -x + 16

Lastly, we divide both sides by 2

y = [tex]\frac{-1}{2}[/tex]x + 8

Have a super awesome day! :)

Answer:

you have to find a common denominator and then add.

Step-by-step explanation:

for example 2/4 + 4/12

you find the common denominator in this case it would be i will use 4 so 2/4 would stay the same and 4/12 would change to 1/3

*make sure to do the same thing to the numerator to so if you are dividing your denominator by 2 also do the numerator

now you have to add

2/4 + 4/12 = 6/12 (the denominator stays the same)

6/12 can be simplified (if you are asked to simplify) so it is 1/6

Answer:

15 is your answer

Step-by-step explanation:

[tex]m = \frac{40 - 10}{5 - 3} = 15[/tex]

hope it helps you

have a great day!!

Answer:

9 +/- 13 or

22 or -4

Step-by-step explanation:

5x^2 - 90x - 475 = -35

5x^2 - 90x - 440 = 0

plug into quadratic formula