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3 years ago

What is the ratio equivalent to 7:2

Mathematics

2 answers:

aleksandrvk [35]3 years ago

6 0

4:14 , 6:21, 8:28, 10:35!!!

DIA [1.3K]3 years ago

4 0

7:2 or
7/2 or
7 to 2

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can anyone help me??? A bakery sells muffins for $3.50 each. A beverage is $1.75. A class purchases 32 items and spends a total

inna [77]

Answer:

(a) $\begin{bmatrix} 1 &1 \\ 2 & 1\end{bmatrix}\cdot\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}32\\ 50\end{bmatrix}$

(b) determinant of the matrix is: -1

(c) number of muffins purchased=18

number of beverages purchased=14.

Step-by-step explanation:

(a) let us assume that the number of muffins purchased=x

number of beverage purchased=y

as a class purchased a total of 32 items that means x+y=32

amount spent=$87.50 that means 3.50x+1.75y=87.50

which could also be written as: 2x+y=50

now in matrix form it could be represented as:

$\begin{bmatrix} 1 &1 \\ 2 & 1\end{bmatrix}\cdot\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}32\\ 50\end{bmatrix}$

(b) the determinant of the matrix $\begin{bmatrix} 1 &1 \\ 2 & 1\end{bmatrix}$ is given by $1\times1-2\times1=1-2=-1$

hence the determinant of the matrix is: -1

(c) now on solving the matrix we need to apply row operations in it to make it a upper triangular matrix so that it would be easy for us to calculate the value of x and y.

$\begin{bmatrix} 1 &1 \\ 2 & 1\end{bmatrix}\cdot\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}32\\ 50\end{bmatrix}$

we multiply row 1 by 2 and subtract row 2 from it to get

$\begin{bmatrix} 1 &1 \\ 0 & 1\end{bmatrix}\cdot\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}32\\ 14\end{bmatrix}$

on using the backward substitution in the matrix we get y=14

and x=18

Hence, number of muffins purchased=18

number of beverages purchased=14.

5 0

3 years ago

Read 2 more answers

A party planner wants 220 balloons in each of the 3 rooms. If balloons come in packages of 50 balloons, how many packages must b

Morgarella [4.7K]

Answer:

14 packages.

Step-by-step explanation:

The total number of balloons needed is 3 * 220 = 660 balloons

To find the number of packages

660 / 50 = 13 with a remainder of 10.

Normally, you would round down, but not with this question. You need to buy a whole package to get the 10 left over balloons.

The answer is 14 packages.

3 0

3 years ago

Your professor has just collected eight different statistics exams. If these

musickatia [10]

Answer:

It would be 1/40320

8 0

3 years ago

Caleb bought stock in a company two years ago that was worth xx dollars. During the first year that he owned the stock, it incre

Hunter-Best [27]

Answer:

1.2144xx

Step-by-step explanation:

The multiplier of value for the first year was (1 +38%) = 1.38.

The multiplier of value for the second year was (1 -12%) = 0.88.

Then the multiplier of value for the two years was ...

1.38×0.88 = 1.2144

The value of the stock after 2 years was ...

1.2144xx

_____

<em>Comment on the variable</em>

We have used the variable given in the problem statement (xx). If you intend something different, replace xx with the variable you intend.

5 0

3 years ago

A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t

velikii [3]

Answer:

Step-by-step explanation:

To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.

Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

5 0

4 years ago

Read 2 more answers