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KatRina [158]
3 years ago
12

Nellie made 734 quarts of soup that she put into 14-quart containers. She filled each container completely before starting to fi

ll the next container. How many containers did she fill?
Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Amount of soup Nellie made = 734 quarts

Amount of soup each container contains = 14 quarts

So, the number of containers Nellie filled = \frac{734}{14} = 52.42

So, Nellie filled 52 containers completely.

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Marizza181 [45]

Answer:

11.9 Cm.

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Step-by-step explanation:

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cos 24°= hcm/ 13cm

13 cos 24°= h

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2 years ago
At Fireside Bookshop, you buy a book for $30.00. If the sales tax is 9.5%, what is the total price you pay for the book?
AfilCa [17]

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Roman55 [17]

Answer:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

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Step-by-step explanation:

Given system of equations:

\begin{cases}y=x^2-9\\y=4x-4\end{cases}

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}

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\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}

Apply the <u>zero-product property</u> and solve for x:

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\implies x-5=0 \implies x=5

Substitute the found values of x into the <u>second equation</u> and solve for y:

\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}

\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}

Therefore, the solutions are:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}

6 0
1 year ago
Read 2 more answers
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Tems11 [23]

Answer:

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3 years ago
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Total cost is $38.16

Multiply 36 by 0.06 (2.16)
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3 years ago
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