1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ra1l [238]
2 years ago
13

One year ago liz was three times as old as her brother jack. in two years she'll be only twice as old as jack. how old are liz a

nd jack now?
Mathematics
1 answer:
iren2701 [21]2 years ago
4 0

L = liz's age now

J = Jack's age now

L-1 and J-1 are their ages one year ago

L-1=3(J-1)

L-1=3J-3

L=3J-3+1

L=3J-2 (to be used later)

L+2 and J+2 are their ages in two years

L+2=2(J+2)

replace L by 3J-2

3J-2+2=2(J+2)

3J=2J+4

3J-2J=4

J=4 is Jack's age now

L-1=3(J-1)

L-1=3(4-1)

L-1=3*3

L-1=9

L=9+1

L=10 is Liz's age now

You might be interested in
Triangle ABC is shown Translate Triangle ABC 5 units left and 4 units up and reflect it over the x-axis​
tekilochka [14]

Here is my process for solving this.

First I drew arrows that indicated I was moving the whole triangle 5 units to the left.

*Look at first attachment*

Then I drew another triangle using those new points. (The new triangle is in pink)

*Look at second attachment*

Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)

*Look at third attachment*

Then I drew the new triangle in blue using the new points.

*Look at fourth attachment*

Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.

*Look at fifth attachment*

The fifth attachment in green is the final product! Hope that helps.

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%28-1%7B2%7D%7B3%7D%20%29x%5E%7B3%7D" id="TexFormula1" title="(-1{2}{3} )x^{3}" alt="(-1{2}{3}
Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: (\frac{-12}{3}) ^{3}

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

<em>The parentheses are important so you cube the negative sign as well!</em>

3³ = 27

-1728 / 27 = -62

                           (\frac{-12}{3}) ^{3} simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1\frac{2}{3})³

Answer: -\frac{125}{27}

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get -\frac{5}{3}

To cube it we must do:

(-\frac{5}{3})(-\frac{5}{3})(-\frac{5}{3})

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

                           (-1\frac{2}{3})³ simplifed is -\frac{125}{27}

7 0
2 years ago
Please help picture shown
SashulF [63]
\dfrac{x}{x-5} ~ \cdot~ \dfrac{2x}{x+4} =\dfrac{x~ \cdot~ 2x}{(x-5)(x+4)}= \dfrac{2x^2}{x^2 -x -20}

The answer is D.

Hope it helps!
5 0
3 years ago
What is the gradient of the graph shown
Keith_Richards [23]

9514 1404 393

Answer:

  3

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

  m = rise/run = 3/1 = 3

The gradient of the graph is 3.

5 0
2 years ago
find An Equation Of The Line Containg(3,-4) and Having slope -2.If This Line Contain The Points (a,8) and (5,b) find a and b​
ss7ja [257]

Answer:

equation: y=-2x+2

a=-3

b=-8

Step-by-step explanation:

we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2

slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

we can plug what we know into the equation:

y=-2x+b

we need to find b though

since the point will pass through the point (3,-4) we can subsitute it into the equation to find b

-4=-2(3)+b

-4=-6+b

2=b

the y intercept is 2

so the equation is y=-2x+2

the line also contains the points (a,8) and (5,b)

first, let's find a

a is the x value of the point

we know the value of y (8)

substitute y as 8 and solve for x

8=-2x+2

subtract

6=-2x

-3=x=a

so a is -3

now find b

b is the y value of the point

we know the x value (5)

substitute x as 5 and solve for y

y=-2(5)+2

y=-10+2

y=-8=b

so b is -8

hope this helps!

4 0
3 years ago
Other questions:
  • Each costume needs 46 cm oc red ribbon and 3 times as much in yellow ribbon. What is thevtotal length of ribbon needed for 64 co
    5·1 answer
  • If a + b = c and b = 5, then a + 5 = c is known as the ________ property. Question 18 options: A) substitution B) symmetric C) t
    6·2 answers
  • A diver dove to a location 63/5 meters below sea level .he then dove to a second location 8 1/5 meters below sea level how many
    15·1 answer
  • What is quotient and remainder
    7·1 answer
  • A store has a 4 0 % 40%40, percent off sale on headphones. With this discount, the price of one pair of headphones is $ 3 6 $36d
    10·2 answers
  • Determine wether the given number is a solution of the given equation 10;4-8x=-69
    5·2 answers
  • Which of the following equations is modeled by the graph
    5·1 answer
  • Is this equation an infinite solution, no solution, or one solution?? 7(2+5x) = 3x + 14
    8·1 answer
  • Ariel takes 3 pages of notes during each hour of class. In all, how many hours will Ariel
    14·1 answer
  • The area of the circle below is 28.26 ft. What is the diameter?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!