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3 years ago

5

The table below shows the amounts of lemon juice and sugar used in each container of lemonade. The ratio of lemon juice to sugar

is 1:r, where r is the unit rate. Use the table to determine r.
Lemon Juice (cup) Sugar (cup)
1/2 1
2 4
3 6
A. 2
B. 1/2
C.1
D. 2/3

2 answers:

disa [49]3 years ago

6 0

The answer would be C

lesantik [10]3 years ago

3 0

Answer:

i believe the answer would be C! sorry if im wrong! ;-; <333

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Answer:

27

Step-by-step explanation:

3.5x6= 21

you would do 3.5x6 because they scored 3.5 each so then all together its 21 and 48-21=27 so Veronique scored 27 points

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A. 60.5 $in^{3}$

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A = 1/3(area of base)(h)

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Substitute y = 2x - 4 to x + 2y = 12:

x + 2(2x - 4) = 12 <em>use distributive property</em>

x + (2)(2x) + (2)(-4) = 12

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Put the value of x to the first equation:

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y = 8 - 4

y = 4

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Tammy takes a taxi home from the airport. The fare is $2.10 per mile, and she gives the driver a tip of $5. Tammy pays a total o

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Step-by-step explanation:

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3 years ago

Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.

Marysya12 [62]

Answer:

This shows 3 pivot position matrixes.

Step-by-step explanation:

The given matrix is:

$\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right]$

The option D is correct for this matrix.

The matrix is invertible and the given matrix has 3 pivot positions.

The matrix is invertible if its determinant is nonzero.

Multiply the 3rd row by 1/3.we get:

$\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right]$

Now, add the first row with third row:

$\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right]$

Replace third row by first row:

$\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right]$

This shows 3 pivot position matrixes.

Hence, a matrix is invertible and has 3 pivot positions.

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3 years ago