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harkovskaia [24]
3 years ago
9

Luke paid 12.69 for 3 greeting cards. Each card cost the same amount, c. Which equation and solution represent this situation?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
8 0

Answer:

D. 3c=12.69;c=4.23;\$4.23

Step-by-step explanation:

We have been given that Luke paid 12.69 for 3 greeting cards.

We are also told that each card cost the same amount, c, so the cost of 3 cards will be 3c.

Since the cost of 3 cards is 12.69, so we can represent this information in an equation as:

3c=12.69

Upon dividing both sides of our equation by 3 we will get,

\frac{3c}{3}=\frac{12.69}{3}

c=4.23

Upon looking at our given choices we can see that option D is the correct choice.

Tcecarenko [31]3 years ago
7 0

I think its answer D

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Frank bought 18 water bottles and 28 candy bars for a reunion. Water bottle cost 1.80 for a six pack. Candy bars cost 4.20 for 6
iogann1982 [59]

Answer:

$17.60

Step-by-step explanation:

Let’s start by first finding the cost of 1 candy bar. We have to divide 1.80 by 6 to find the cost of 1 water bottle and 4.20 divided by 6 to find the cost of 1 candy bar. 1 water bottle= 30 cents (0.3) and 1 candy bar= 70 cents (0.7). Now, to find how much he spent on 18 water bottles we must multiply 18 by 0.3 which = $60 and multiply 28 by 0.7 = $19.60 (19.6). Now add 19.60 + 60 = 79.60 (79.6)

So, Frank spent $79.60 on food total. Sorry if I got it wrong, but hope this helps!

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3 years ago
X plus 1/3 equals nine enter your answer in the box in simplest form
LekaFEV [45]


= > x + \frac{1}{3} = 9



\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}



= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}




Hence,


Value \: \: \: of \: \: x \: \: is \:  \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}
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3 years ago
This pattern follows the rule divide by 2, then add 8. What are the next two numbers?
krok68 [10]

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3 0
3 years ago
Read 2 more answers
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

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