Ask question

Ask question

All categories

3 years ago

14

Last weekend, Charlie raked leaves in his front yard l. He noticed that 7/3 kilograms of leaves filled 4/9 of a bag. What is the

unit rate for kilograms of leaves per bag?

1 answer:

Archy [21]3 years ago

3 0

7kg:4/9 bag
?kg:1 bag

7÷4/9 or 7×9/4=63/4 or 15.75. As a result, the unit rate is 15.75 kg of leaves per bag. Hope it help!

You might be interested in

How do you graph a circle x^2 + y^2=25 and the line is given y=2

Kazeer [188]

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}
\end{array}\\\\
-------------------------------\\\\
x^2+y^2=25\implies (x-0)^2+(y-0)^2=5^2$

so notice above, the circle is centered at h,k or 0,0, the origin, and has a ratio of 5.

and y = 2, is just a horizontal line, check the picture below.

7 0

3 years ago

How do you do number 15 and 17? Help please?

vodomira [7]

15)

m = Miguel Indurian titles amount l = Lance Armstrong titles amount

they both won titles to the tour de france, if we add all together, they sum up to 12 for both of them
so.. whatever "m" and "l" are, we could say that m + l = 12

now... Miguel won 2 fewer than Lance, so, whatever "l" is, m = l - 2
thus $\bf \begin{cases}
\boxed{m}=l-2\\\\
m+l=12\\
----------\\
\left( \boxed{l-2} \right)+l=12
\end{cases}$

solve for "l", to see how many Lance won

how many did Miguel win? well, m = l - 2

---------------------------------------------------------------------------------

17)

c = mgs amount in 12oz cup of regular coffee at starbucks
d = mgs amount in 12oz cup of regular decaffeinated coffee at starbucks

we know the regular coffee cup, has 13 times more than the decaf, same 12ouncer

thus whatever "c" and "d" are, we know that c = 13d
both 12ouncers put together, yield 280mgs of caffeine

so, one could say that whatever "c" and "d" are, c + d = 280

thus $\bf \begin{cases}
\boxed{c}=13d\\\\
c+d=280\\
----------\\
\left( \boxed{13d}\right)+d=280
\end{cases}$

solve for "d" to see how much is in the decaffed cup

the regular coffee cup? well c = 13d

8 0

3 years ago

Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.

MA_775_DIABLO [31]

1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.

4 0

3 years ago

Express the interval

Otrada [13]

Using inequality for the give interval which states that :
A function lies in an open interval from -2 to 6.
Hence,we can rewrite it as :

-2 < x < 6

6 0

3 years ago

What is the answer to the problem (m-3)(-10)

OverLord2011 [107]

The answer is -10m + 30

8 0

3 years ago