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anastassius [24]

3 years ago

6

On a store shelf, there are 10 boxes of Captain Crunch and 6 boxes of Lucky Charms. If one box of cereal is selected at random,

find the probability that it will be a box of Captain Crunch. Give your answer as a reduced fraction.

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

10 out of 16 boxes so 10/16 or 5/8

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Please help: linear algebra problem. (Linear combinations)

DochEvi [55]

Answer:

$\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$

This tells us that:

$A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right]$

$b=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$

Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

$c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$ .

So we want to find a way to express this as:

Ax=b where x is the scalar vector, $\left[\begin{array}{ccc}c\\d\end{array}\right]$ .

So we can write this as:

$\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$

3 0

3 years ago

Mr.Gadgets car broke down on the turnpike.Acme towing charged $30 plus $3 per mile to tow the car.If Mr.Gadget paid $174, how fa

aalyn [17]

The car was towed for 48 miles.

Step-by-step explanation:

Given,

Amount charges by Acme towing = $30

Per mile charges = $3

Total charged = $174

Let, x be the number of miles.

Towing charges + Per mile charges*number of miles = Total charged

30+3x=174

Subtracting 30 from both sides

$30-30+3x=174-30\\3x=144$

Dividing both sides by 3

$\frac{3x}{3}=\frac{144}{3}\\x=48$

The car was towed for 48 miles.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Using the order of operations rule, solve the following 12 divided by 2 plus 4 minus 2 times 3 equals ?

laiz [17]

Answer:

12 divided by 2 + 4 - 2 x 3 is 4

Step-by-step explanation:

I did 12 divided by 2 first which was 6 then added 4 subtracted it by 2 then multiplied it by 3 and got 4.

6 0

3 years ago

In an orchard, there are 18 apple trees, 23 orange trees, and a cherry tree. What is the ratio of orange trees to cherry trees?

Nikitich [7]

Answer:

18:23

Step-by-step explanation:

18:23 (cannot be simplified further as there is no common factor)

7 0

3 years ago

Read 2 more answers

You buy tomatoes at

Anna71 [15]

Answer:

Expression:

1.20p + 3.99p

Now subsitutute p with the number of pounds given for both tomato and pepper.

1.20(5) + 3.99(2) = $13.98

6 0

3 years ago