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ELEN [110]
2 years ago
10

Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder

to make a batch of lemonade. How much water should he use?
Mathematics
1 answer:
Rina8888 [55]2 years ago
3 0

Answer:

6.25 cups of water

Step-by-step explanation:

So I first write out the rates: 4:2.5 and also 10:?

So let's find out how the scoops changed, as in how did you get 4 to become 10 so you can do the same thing to 2.5 and get ?.

To go from 4 to 10 you MULTIPLY/DIVIDE. DON'T ADD OR SUBTRACT. 10 divided by 4 (to see what you multiplied by) is 2.5.

So we multiplied 4 by 2.5 to get 10. So if we multiply 2.5 by 2.5 we get 6.25.

So 4:2.5  =  10:6.25  

?=6.25

Hope this helps!

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Ray FL bisects ∠AFM. m∠LFM = (11x+4), m∠AFL = (12x - 2).
Ne4ueva [31]

Answer:

AFM = 140

LFM = 70

Step-by-step explanation:

Here, we are to calculate LFM and AFM

Since AFM was bisected, then LFM + AFL is AFM

and also AFL = LFM

Thus;

11x + 4 = 12x -2

12x-11x = 4 + 2

x = 6

AFM = AFL + LFM = 11x + 4 + 12x-2 = 23x + 2

Substitute x = 6

AFM = 23(6) + 2 = 140

LFM = 11x + 4 = 11(6) + 4 = 66 + 4 = 70

8 0
3 years ago
The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and sh
svp [43]
Recall your d = rt, distance = rate * time

now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.

However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Mr Cunningham}&d&40&t\\
\textit{Mrs Cunningham}&d&80&t-3
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=40t\\
d=80(t-3)\\
----------\\
\boxed{40t}=80(t-3)
\end{cases}
\\\\\\
\cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t
\\\\\\
6=t
5 0
3 years ago
Here are the scores of students on a history test. 55, 56, 57, 58, 58, 64, 65, 66, 69, 75, 77, 78, 81, 81, 85, 86, 91. Create a
Anarel [89]
The first thing you need to do is get the median of the whole set.

The median is the center so since there are 17 numbers the center is 69 and 69 is Q2

Next we need to find Q1 Q3 and Q4 Also, are whiskers are below.
Whisker minimum = 55
Whisker maximum = 91

Now to find Q1 we have to get the median of the first half of the data.
We need to get the median of the following data set.
55, 56, 57, 58, 58, 64, 65, 66

(58+58) / 2 = 58
Q1 = 58

Now we need to find Q3. To do that we get the median of the second half of the data.
75, 77, 78, 81, 81, 85, 86, 91. 
(81 + 81) / 2 = 81
Q3 = 81

Now we have all our quartiles and whiskers, which are below, it is time to create our box and whisker plot. Note, create a horizontal or vertical number line with appropriate data. Also the box part is from Q1 to Q3 and your whiskers goes from your minimum to your box and from your maximum to your box.

Whisker Minimum = 55
Q1 = 58
Q2 = 69
Q3 = 81
Whisker Maximum = 91

6 0
3 years ago
Find the value of x..
shepuryov [24]

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

3 0
2 years ago
Read 2 more answers
How many times greater is 9 times 10 to the 5 power than 8 times 10 to the 2 power<br>​
Schach [20]

Answer:

1125 times bigger

Step-by-step explanation:

6 0
3 years ago
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