Solve the equation for y when x=0.5x-9y=27 *

One week, a cake shop sold 45 pineapple cakes and 62 chocolate cakes on the weekdays and 55 pineapple cakes and 79 chocolate cak

lora16 [44]

Answer:

Let us assume cost of each pineapple cake = $x.

Cost of each chocolate cakes = $y.

On weekdays 45 pineapple cakes and 62 chocolate cakes were sold.

Total cost of 45 pineapple cakes and 62 chocolate cakes were sold = $3,520.

Therefore, first equation would be

45x + 62y = 3520 --------------equation(1).

On weekends 55 pineapple cakes and 79 chocolate cakes were sold.

Total cost of 55 pineapple cakes and 79 chocolate cakes were sold = $4,415.

Therefore, second equation would be

55x + 79y = 4415 --------------equation(2).

Therefore, system of equation are 45x + 62y = 3520 and 55x + 79y = 4415.

And we can form a matrix as

.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced

Sati [7]

Answer:

$\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\$

$W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}$

Step-by-step explanation:

$\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls}$ , $(denoted \:W_1, W_2, \:and\: W_3)$

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

$\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\$

$W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}$

The tree diagram of this event is also attached.

6 0

4 years ago

The mean absolute deviation is 46,54,43,57,50,62,78,42

kompoz [17]

8.75 hope this helps

8 0

3 years ago

30 is 12.5% of what number?

-BARSIC- [3]

Answer:

The number is 240

Step-by-step explanation:

Is means equals and of means multiply

30 = 12.5% * N

Change to decimal form

30 = .125 N

Divide each side by .125

30/.125 = .125N/.125

240 = N

6 0

4 years ago

Read 2 more answers

Consider the following differential equation. (A computer algebra system is recommended.) (1 + t2)y' + 4ty = (1 + t2)−2 (a) Draw

alina1380 [7]

Answer:

Step-by-step explanation:

a. Draw a direction field for the given differential equation

b. Based on the inspection of the direction field, describe ow solutions behave for large t.

The solution appear oscillatory

All solutions seems to converge to the function y0(t)=4

All solutions seems to converge to the function y0(t)=0

All solutions seems to seems to eventually have negative slopes a and hence decrease without bound

All solutions seems to seems to eventually have positive slopes a and hence increase without bound

C

As t-infinity

All solutions seems to seems to eventually have positive slopes a and hence decrease without bound

All solutions seems to converge to the function y0(t)=0

All solutions seems to seems to eventually have negative slopes a and hence decrease without bound

All solutions seems to converge to the function y0(t)=4

The solution are oscillatory

3 0

3 years ago