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
Vesna [10]
3 years ago
10

Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man

y days with each boy on vacation?
Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0
To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days.
21 total days of vacation.

Max + Jared + Wesley = 21 days
(Let's use the first letter of their name to represent their vacation time)

M + J + W = 21 [This is the equation we'll be coming back to]

Now, we can use the clues given in the question to have an equation for each variable/boy. 

Max was on vacation twice as long as Jared. We can interpret this as  M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.

So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W

To have an equation for each individual boy, we must rearrange the last two equations in the list.

First, M = 2J.
Divide both sides by 2
M/2 = 2J/2
(1/2)M = J

Second, <span>M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
</span><span>M + J + W = 21 [From the old list]
</span>J = (1/2)W
W = 2M

Now we can substitute the last two equations into the first one. 
M + J + W = 21
M + (1/2)W + 2M = 21
[Combine Like Terms]
<span>(7/2)M = 21 
</span>
Then, solve for M (Max's vacation days):
Multiply both sides by 2/7
(\frac{2}{7})* (\frac{7}{2}m)= (\frac{2}{7})*(21)
M = 6

Now we know Max was on vacation for 6 days.

If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.

So...
<span>J = (1/2)M 
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days 
</span>
Wesley was on vacation twice as long as Max so...  W = 2M 
W= 2*6
W = 12
Wesley was on vacation for 12 days. 

Let's double check our answer:
M + J + W = 21 days<span>6 + 3 + 12 = 21   
The numbers work out so the math is correct. Hope this helps and makes sense!</span>
You might be interested in
For Brand B, the cost y can be represented by the equation y=1.99x , where x represents the number of bags.
WITCHER [35]

The cost of the brand less than 6 bags is less than 11.94

<h3>Functions and equations</h3>

If the cost y of a brand can be represented by the equation y=1.99x

where

  • x represents the number of bags.

For a brand that costs less than 6 bags, we will substitute x = 6 into the function

y = 1.99(6)

y = 11.94

Hence the cost of the brand less than 6 bags is less than 11.94

Learn more on cost and functions here: brainly.com/question/25109150

6 0
2 years ago
3 x 10^4 in standard form
Art [367]

Answer: 3x10=30

3x10(with the power of 2)=300

3x10(with the power of 3)=3000

3x10(witht the power of 4)=3000

Step-by-step explanation:

sorry if this dont help

6 0
2 years ago
Which point is 12 units less than point Q?
nadezda [96]

Answer:

Point R

Step-by-step explanation:

Go back 12 points

4 0
3 years ago
Use properties of operations to simplify the expression 24x - y - 2x + 13 - 2 - 4z
Bumek [7]

Answer:

22x + 11 - 4z - y

Step-by-step explanation:

24x - 2x + 13 - 2 - 4z - y =

22x + 11 - 4z - y

6 0
2 years ago
Would you please help me to solve this 9.1x10^-5)^-4
kap26 [50]
[( 91 * 10^-1 ) *10^ -5]^-4 = (91 * 10^-6)^-4 = 91^-4 * 10^24 = ( 10^24 )/ ( 91^4 ) =
10000000 ≈ 1458258211769
7 0
3 years ago
Other questions:
  • Anyone knows how to do 4a)
    15·2 answers
  • if you are adding two fractions that are both greater than 1/2 what must be true about the sum? Give three examples to support y
    10·1 answer
  • What is the value of x? 0.9(x 1.4)−2.3 0.1x=1.60.9(x 1.4)−2.3 0.1x=1.6 enter the answer as a decimal
    12·2 answers
  • Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
    13·1 answer
  • State when the following equations and inequalities will be true and when they will be false 38= 9k
    8·1 answer
  • A square has one side that is 8 inches long. what is the area of the square
    12·1 answer
  • I need help on this question, I can't seem to understand piecewise functions!! ITS SO HARD.​
    12·1 answer
  • Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
    7·1 answer
  • Round 3 72/120 to the nearest whole
    6·1 answer
  • Mr. Johnson an art teacher, distributes 360 pencils equally to nine students in his class.How many will each get?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!