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maxonik [38]
3 years ago
12

Manuel and Sonja are shopping for school supplies. Manuel is buying 5 notebooks and 3 pens at a cost of $21. Sonja is buying 6 n

otebooks and 5 pens at a cost of $28. The first equation, representing Manuel’s purchase, is 5 x + 3 y = 21. What is the second equation needed to solve the system? 5 x minus 6 y = 28 6 x minus 5 y = 28 5 x + 6 y = 28 6 x + 5 y = 28
Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer: 6x+5y=28

Step-by-step explanation:

Looking at the first equation, we can tell that x stands for notebooks and y stand for pens. Since this talks about the total cost with the amount of products they bought, we can automatically eliminate the subtracting answer choices.

Now, we know that 6x+57=28 is the correct answer because Sonja bought 6 notebooks and 5 pens. This becomes 6x+5y.

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a person deposits rs 55000 in bank p for 2 years at the rate of 10% per annum compounded annually .but after one year , bank has
iragen [17]

Answer:

The interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

Step-by-step explanation:

Given that a person deposits Rs 55000 in Bank P for 2 years at the rate of 10% per annum compounded annually, but after one year, bank has changed the policy and decided to pay semi annual compounded interest at the same rate, to determine what is the percentage difference between the compound interests of the first year and second year, the following calculation must be performed:

Year 1 =

55,000 x (1 + 0.1 / 1) ^ 1x1 = X

55,000 x 1.1 = X

60,500

Year 2 =

60,500 x (1 + 0.1 / 2) ^ 1x2 = X

60,500 x 1.05 ^ 2 = X

66,701.25 = X

55,000 = 100

60,500 = X

60,500 x 100 / 55,000 = X

110 = X

60,500 = 100

66,701.25 = X

66,701.25 x 100 / 60,500 = X

110.25 = X

Therefore, the interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

6 0
3 years ago
Geometry! Please help!
Natalija [7]
So the equation for a trapezoid is A= \frac{b_1+b_2}{2} *h , with the b variable being the 2 bases, h variable for height, and the a variable for area. Firstly, we will need to plug in the appropriate numbers into the equation, and it'll look like this:

136= \frac{12+14}{2} *h

Next, we will need to combine 12 and 14, then divide the sum by 2. Your equation should look like this: 136=13*h

Lastly, just divide each side by 13, and your answer should be 10.46=h
7 0
3 years ago
Read 2 more answers
Please Help Me! "Given ABC ~ ADE with AB = 2 Centimeters, and DE= 10 Centimeters" Whats the length of BC?
Nataliya [291]
C. 4 Centimeters is the answer
6 0
4 years ago
if your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think i
kirill [66]

The second option saves time and cleaning elements, so that one is better.

<h3>Which option is better?</h3>

We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:

50*8 oz = 400 oz

So you need 400 ounces of onion per day.

If you buy at $1.99 per pound (1 lb = 16 oz)

Then the cost per ounce is:

c = $1.99/16

And the cost of 400 ounces is:

C = ($1.99/16)*400 = $49.75

In the case of the pre-sliced onions, the total cost would be:

C' = ($2.99/16)*400 = $74.75

So in the first case, each portion costs:

$49.75/50 = $0.995

And in the second case:

$74.75/50 =$1.495

So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.

Learn more about costs:

brainly.com/question/25109150

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8 0
2 years ago
what will fica tax (assuming a 7.65% rate) on a weekly paycheck of 407.00? a_3.11. b_5.32. c_31.14. d 53.20
Mila [183]

Answer:

c $31.14

Step-by-step explanation:

The tax is the paycheck * the rate

tax = 407 * 7.65%

Change the percent to decimal form

tax = 407 * .0765

tax = 31.1355

Rounding to the nearest cent

tx = 31.14

5 0
4 years ago
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