PLEASE ANSWER ASAP (no links please)

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

nasty-shy [4]

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, M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
M + J + W = 21 [From the old list]
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]
(7/2)M = 21

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...
J = (1/2)M
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days

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 days6 + 3 + 12 = 21
The numbers work out so the math is correct. Hope this helps and makes sense!

6 0

3 years ago

I feel real d.umb for asking this much of questions but tbh I don’t like algebra, my math teacher doesn't like me and she never

Iteru [2.4K]

Answer:

the first one is x=3

Step-by-step explanation:

4 0

2 years ago

55 people showed up on a party.There were 3 less women than men.how many men were there?

Anika [276]

Answer:

52

Step-by-step explanation:

55 - 3 = 52

give me brainiest wink wink

6 0

3 years ago

Read 2 more answers

How does finding the square root of a number compare to finding the cube root lf a number? Use the number 64 in your explainatio

xenn [34]

If you want to know the concept of square roots and cube roots ?

the square root of a number is that number which when multiplied by itself two times gives us that number

e.g.

√64 = x , so that (x)(x) = 64

and from our multiplication table we know that

(8)(8) = 64 , so that

√64 = 8

the cube root of a number is that number which when multiplied by itself three times gives us that number

e.g.

∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64

so ∛64 = 4

6 0

3 years ago

A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split

Ber [7]

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

<h3>What is division?</h3>

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5$

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

$\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5$

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

Learn more about Division:

brainly.com/question/369266

8 0

2 years ago