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WINSTONCH [101]
1 year ago
14

For a given recipe, 24 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 8 cups of flour a

re used?
Mathematics
1 answer:
larisa [96]1 year ago
7 0

Answer:

First, 24 divided by 8 equals 3. this means you divide 12 by 3. you get 4. 4 cups of sugar will be used when 8 cups of flour are used.

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Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Wr
NARA [144]


 tax gets added to the price of the camera

 so the equation is:

x + 0.07x = 45; x = $42.06

3 0
3 years ago
A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
4 years ago
Can I get help please.
scoundrel [369]

Answer:

see below

Step-by-step explanation:

A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.

B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.

C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.

4 0
3 years ago
Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(
9966 [12]

Answer:

all of them

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to
jek_recluse [69]

Answer:

The margin of error is given below:

E=z \times \sqrt{\frac{\hat{p}(1-\hat{p}}{n} }

Where:

\hat{p}=\frac{26}{80}=0.325

\therefore E = z \times \sqrt{\frac{0.325(1-0.325}{80} }

                           =z \times 0.0523659

Therefore, the option E = z*6% is correct as it closest to the given answer

7 0
3 years ago
Read 2 more answers
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