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
Alenkinab [10]
2 years ago
13

7. Jennifer is 6 years older than Sue. In 4 years, she will be twice as old as Sue was 5 years ago. Find their ages

Mathematics
1 answer:
makvit [3.9K]2 years ago
4 0

Answer: Sue is 20 and Jennifer is 26

Step-by-step explanation:

Let's say that J=Jennifer's age now and S=Sue's age now.

We know that:

J=S+6

Because Jennifer is 6 years older than Sue.

We also know that when Jennifer is 4 years older (J+4), she will be twice as old as Sue was 5 years from now (S-5).

So we get the following equation from that information:

J+4=2(S-5)

So we have the two equations:

J+4=2(S-5)

J=S+6

Let's substitute J=S+6 into the first equation (note that RHS means Right Hand Sie and LHS means Left Hand Side):

(S+6)+4=2(S-5)

S+10=2S-10 [Add 6+4 on the RHS, and distribute on the LHS]

S=2S-20 [Subtract 10 from both sides]

-S=-20 [Subtract 2S from both sides]

S=20 [Divide both sides by -1]

So we know S, which is Sue's age, is 20. So Sue is no 20 years old.

Finding Jennifer's age now is simple. We know Jennifer is 6 years older than Sue, and Sue is 20, so Jennifer is 26 years old.

You might be interested in
Circletown's limits form a perfectly circular shape. It has a population of
Iteru [2.4K]

Answer:

3.64 Km.

Step-by-step explanation:

Given,

Total population = 20,000 people

Population density = 480 people per square kilometer

Area of the circle town

A = \dfrac{20000}{480}

A = 41.667\ km^2

Radius of the circle town

\pi r^2 = 41.667

r = 3.64\ km

Hence, the radius of circle town is equal to 3.64 Km.

5 0
3 years ago
Read 2 more answers
Help please thank you!
Liula [17]
97 rounds up to 100
78 rounds up to 80
100x80= 8,000
estimate=8,000

97x78=7,566
product=7,566
7 0
2 years ago
Read 2 more answers
An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many
Olin [163]

Given:

Total number of marbles in the bag = 150

There are 21 blue marbles for every 4 white marbles.

To find:

The number of blue marbles in the bag.

Solution:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Let the number of blue marbles be 21x and white marbles be 4x.

Total number of marbles in the bag = 150

21x+4x=150

25x=150

Divide both sides by 25.

x=\dfrac{150}{25}

x=6

Now,

\text{Blue marbles}=21x

\text{Blue marbles}=21(6)

\text{Blue marbles}=126

Therefore, the number of blue marbles is 126.

8 0
3 years ago
Each train car holds 71 passengers. About how many train cars
gulaghasi [49]

567/71 because passengers/(train cars/passengers) = train cars

71 x 7 = 497 (not enough)

71 x 8 = 568 (enough)

Answer: 8 train cars

7 0
3 years ago
Other questions:
  • Which of the following is an example of a rational value between 5 and 10?
    10·1 answer
  • Spencer took $21 with him to the mall. At the music store he spent 2/3 of his money on a DVD. Then spent 1/4 on a drink. How muc
    15·2 answers
  • There are 14 books on a shelf. 8 of these books are new What is the ratio of all books to used books?
    12·2 answers
  • Use the substitution method to solve the system of equations. Enter your
    5·1 answer
  • What greatest common factor of (GCF) of 28 and 98
    9·1 answer
  • Which pair of equations represents parallel lines?
    14·2 answers
  • What is the value of the expression 2 + 32 ⋅ (5 − 1)?
    10·2 answers
  • Im checking my test. whats the answer?
    10·2 answers
  • Hurry i need help!!
    15·1 answer
  • A 22° B 54° С What is the measure of AD? O 108° 0 27° 126 54°​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!