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
stira [4]
2 years ago
9

John is 6 years older than Keisha. Together, their ages equal four times Keisha's age. How old is each? (Note: There must be an

equation written using the variable x, and x must be solved.)
Mathematics
2 answers:
Naddik [55]2 years ago
6 0
Let x= Keisha
x+6= John
together means to add
x+x+6= 4x combine like terms
2x+6=4x
subtract 2x from both sides
6= 2x
divide both sides by 2
 3=x  Keisha's age
3+6= 9 John"s age

Proof  3+9= 4x3

hope this helps

borishaifa [10]2 years ago
4 0
<span>k= Keisha  
k + 6= John</span> <span>         
k + k + 6 =  4k</span> <span>  
2k + 6 ( - 2k) =  4k ( - 2k)</span> <span>              
6 = 2k</span> <span>           
3 = k    
(Keisha= 3 years old)</span> <span>         
k + 6 = 9    
(John = 9 years old)
</span>
3 + 3 + 6 = 4 (3) <span>         
12 = 12

</span><span>So we made the pawn represent Keisha’s age.  Then we knew that John is 6 years older than Keisha so we represented his age with a pawn plus 6. This went on 1 side of the equation because it said that together they equal 4 times Keisha’s age. So on the other side of the equation we put 4 pawns because we are using each pawn as Keisha’s age.  Then we subtracted the pawns from each side to keep the equation balanced.  So we had that 2 pawns equal 6, which means that each pawn equals 3 so Keisha is 3 years old.  Since John is 6 years older than Keisha, he must be 9 years old.  We checked our work and substituted 6 in for each pawn and found that 12 equals 12, so our equation is balanced.
</span>
Hope this helps :)

You might be interested in
What is the answer for it ?
ivann1987 [24]

Answer:

It's F

Step-by-step explanation:

You can see on the graph that 2 lines cross at (-3;4) so this is the point where the 2 equations have the same outcome/ value.

6 0
3 years ago
A sequence starts from -2. The term to term rule is 'square and subtract 3' find the first six numbers of the sequence
alexandr1967 [171]

Answer:

The first six numbers are -2,1,-2,1,-2,1

Step-by-step explanation:

First term is -2

The term to term rule is 'square and subtract 3'

Second term=(-2)^{2} -3=1

Third term=(1)^{2} -3=-2

Fourth term=(-2)^{2} -3=1

Fifth term=(1)^{2} -3=-2

Sixth term=(-2)^{2} -3=1

The first six numbers are -2,1,-2,1,-2,1

6 0
2 years ago
A jet travels for 410 miles in 2 hours. at this rate how far could the jet fly in 14 hours? What is the rate of speed of the Jet
Kobotan [32]

410/5 = ?

410/5 = 82

82 miles per hour

82*12 = ?

82*12 = 984

Answer: 984 miles in 12 hours

3 0
2 years ago
What's the answer to number 25?
tatyana61 [14]
Find the difference 

5/6-3/4 (you have to get the same denominators by multiply the individual fractions)

(5/6)*2 and (3/4)*3 to get a denominator of 12

10/12-9/12 (subtract numerators, leave denominator)
=1/12 which is the answer

Hope this helps<span />
5 0
2 years ago
Read 2 more answers
The midsegment of a trapezoid is always parallel to each base true or false
Deffense [45]

Answer:

True

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u> states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

see the attached figure to better understand the problem

EF is the mid-segment of trapezoid

EF is parallel to AB and is parallel to CD

EF=(AB+CD)/2

so

The mid-segment of a trapezoid is always parallel to each base

therefore

The statement is true

8 0
3 years ago
Other questions:
  • How do I use a model to show 2/6 divided by 1/12
    7·1 answer
  • Solve. -7x=x^2+12 help
    13·1 answer
  • Which values are solutions of the quadratic equation 0 = (x + 3)2 – 4? Check all that apply.
    5·1 answer
  • A boat is 75 miles west and 60 miles north from the nearest port. What bearing should be taken to sail directly to port? S 39° E
    11·1 answer
  • PLZ help thanks!!!! A shipment of 10 tons of sugar is separated into containers of equal size. If the shipment fills 3 3/4 conta
    15·2 answers
  • Becky, an artist, plans to paint and sell some miniature paintings. She just bought some brushes for $1, and paint and canvas fo
    13·1 answer
  • I need help with my homework I’m struggling and don’t understand the equation
    8·1 answer
  • Algebraic math question
    5·1 answer
  • 4+8/2* (6-3). Please answerrrr
    5·2 answers
  • Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!