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Margaret [11]
2 years ago
13

Please Help, Lots of points

Mathematics
1 answer:
Andrei [34K]2 years ago
3 0

Answer:

9 cats

Step-by-step explanation:

x = cat

y = dog

Set up equations.

x + y = 30

4.5x + 8.5y = 219

Multiply first equation by 4.5 and subtract.

4.5x + 4.5y = 135

-(4.5x + 8.5y = 219)

-4y = -84

y = 21

Substitute this y value into the first equation

x + y = 30

x + 21 = 30

x = 9

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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, <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>
6 0
3 years ago
Find the slope of the line through each pair of points.<br> (2, -4), (5,-8)
slega [8]

Answer:

m=-\frac{4}{3}

Step-by-step explanation:

Slope=m=\frac{y_2-y_1}{x_2-x_1}

Here

(x_1, y_1)=(2, -4) \ \ and \ \  (x_2, y_2)=(5, -8)

m=\frac{-8-(-4)}{5-2}

m=-\frac{4}{3}

8 0
2 years ago
If i buy a bigger bed do i have more bedroom or less bedroom
raketka [301]

Answer:

your have less bedroom to work with.

(or this is a trick question and the answer is you have the same amout of room no matter what you put in it)

Step-by-step explanation:

8 0
2 years ago
Jasmine works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per work. If y=7x
kotykmax [81]

Answer:

c

Step-by-step explanation:

Jasmine can work from 0 hours to 15 hours

6 0
3 years ago
A high school administrator determined that 22% of the students worked part-time after school with an ±8% margin of error. If th
Volgvan

Answer:

A) 199 to 426 students

Step-by-step explanation:

We add and subtract the margin of error on the original percentage

This leaves us with 30% and 14%

30% of 1420 is 426

14% of 1420 199 (rounded to whole number)

8 0
3 years ago
Read 2 more answers
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