If a number has z positive integer factors then y and 2z integer factors. true/false

At a store, apples cost $0.80 $0.80 each and oranges cost $0.95 $0.95 each. Harry buys some apples and oranges and spends $9.55

gregori [183]

Answer:

Harry buys 6 apples and 5 oranges at the store.

Step-by-step explanation:

Given:

Cost of each apples = $0.8

Cost of each oranges = $0.95

Total money spend =$9.55

Number of fruits bought= 11

We need to find the number of apples bought and number of oranges were bought.

Solution:

Let the number of apples bought be 'a'.

Let the number of oranges were bought be 'o'.

Number of fruits bought= 11

So we can say that;

Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.

framing in equation form we get;

$a+o=11$ ⇒ equation 1

Now we can say that;

Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.

framing in equation form we get;

$0.8a+0.95o=9.55$ ⇒ equation 2

Now Multiplying equation 1 by 0.8 we get;

$0.8(a+o)=0.8\times11$

$0.8a+0.8o=8.8$ ⇒ equation 3

Subtracting equation 3 from equation 2 we get;

$0.8a+0.95o-(0.8a+0.8o)=9.55-8.8\\\\0.8a+0.95o-0.8a-0.8o=0.75\\\\0.15o=0.75$

Dividing both side by 0.15 we get;

$\frac{0.15o}{0.15}=\frac{0.75}{0.15}\\\\o=5$

Substituting the value of o in equation 1 we get;

$a+o=11\\\\a+5=11\\\\a=11-5=6$

Hence Harry buys 6 apples and 5 oranges at the store.

3 0

2 years ago

Diagonal cross-section of a sphere produces which two dimensional shape

Leni [432]

Every cross-section of a sphere will be a circle.

Answer: circle

Any further questions about this? Or how I got my answer?

7 0

2 years ago

Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.

AleksandrR [38]

<span>Try simplifying the number to start. For example, if the population of the town is 100 people and the population growth is 2%, then there will 102 people in the town next year (Y=1). Continue adding 2% to the population for each of 10 years to get the answer for the 10th year. Growth would be considered 100% of current population plus 2% additional for a total of 102% - convert 102% to to a factor and you will have your formula Y=15,200*1.02;18,529</span>

4 0

2 years ago

Michael has a weekly food budget of $62. If he plans to budget the same amount for each of the 7 days of the week, what is the m

garri49 [273]

Answer:

62/7

Step-by-step explanation:

8 0

2 years ago

Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).

mario62 [17]

Answer:

$\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

Step-by-step explanation:

The general matrix representation for this transformation would be:

$\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

$\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

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

8 0

2 years ago

If a number has z positive integer factors then y and 2z integer factors. true/false​

If a number has z positive integer factors then y and 2z integer factors. true/false