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damaskus [11]
3 years ago
5

What is the solution to the system of equations

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello

I believe there is an error in the question

we have two equations and need to find x and y

(1) \dfrac{1}{4}x+\dfrac{1}{2}y=\dfrac{5}{8}\\(2) \dfrac{3}{4}x-\dfrac{1}{2}y=3\dfrac{3}{8}

let s multiply by 8 so that we can get rid of the fractions

(1) becomes 2x+4y=5

(2) becomse 6x-4y=9

if we sum it gives

2x+4y+6x-4y=9+5

8x=14

x = 14/8 = 7/4

and then from the first equation

4y = 5 - 7/4

<=> 16y = 20-7 = 13

y = 13/16

the solutions is (7/4,13/16)

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Help!!!..
vichka [17]

Answer:

It would be $ 8.25 without the tax.

Step-by-step explanation:

If you add $2.75(the cost for bowling shoes) then multiply the cost for one bowling game by 3, since she played 3 games, then add that to the cost of shoes, then add the cost for the food, which gives your $12.00. Then take 50% of the price of bowling games. Which is $3.75. Then replace that with the original price of the 3 bowling games! Which gets you.....$8.2 for the total cost without tax

3 0
3 years ago
Dans school is planning a field trip to a museum. Bus company A charges a $40 rental fee plus $4 for each student. Bus company B
givi [52]

Answer:

30 students would have to go for the cost to be the same.

Step-by-step explanation:

Bus A: $40 + ($4 * 30) = $160

Bus B: $100 + ($2 * 30) = $160

7 0
3 years ago
24 is 3 more than a number p
rewona [7]

Answer: 24 = 3 + P

Step-by-step explanation: 24 is 3 more than a number P can be represented in the equation form of 24 = 3 + P

To solve it:

3 + P = 24

3 - 3 + p = 24 -3

p = 21

7 0
3 years ago
A pile of coins, consisting of quarters and half dollars, it worth $11.75. If there are 2 more quarters than half dollars, how m
lord [1]
Let the number of half dollars be x,

number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17

There are 17 quarters and 15 half dollars.
3 0
3 years ago
Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
3 years ago
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