Answer:
x = 200
y = 100
Step-by-step explanation:
20x + 30y = 7000 Divide by 10
15x + 35y = 6500 Divide by 5
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It helps if you break down both equations to something simpler. It looks like not always.
(2x + 3y = 700) Multiply by 3
(3x + 7y = 1300) Multiply by 2
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6x + 9y = 2100
<u>6x + 14y =2600</u> Subtract
-5y = - 500 Divide by -5
-5y/-5 = -500/-5
y = 100
2x + 3y = 700 substitute y = 100
2x+ 3*100 = 700 Combine
2x + 300 = 700 Subtract 300 from both sides.
2x = 700 - 300
2x = 400
x = 400/2
x = 200
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Hockey check
15x + 35y = 6500
15*200 + 35*100 = 6500
3000 + 3500 = 6500 Just as it should.
2 rational numbers are C. 2.777 and D. -7/3
a rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction p/q of two integers
</span>
as you know 0.7777 (7 repeat) = 7/9
so 2.777(7 repeat) = 2 7/9
Hey there.
For 5:
We already have been given all the information we need to solve for this- it's just really extensive, so bare with me here.
With our initial deposit of $150 in January, we give 10% of the current value in the following month. This means 10% of 150 will be deposited into the checking account in February, and so on for the rest. I will work this out.
10% of 150 = 15; we deposit $15 into the account in February.
10% of 165 = 16.5; we deposit $16.5 into the account in March.
10% of 181.5 = 18.15; we deposit $18.15 into the account in April.
10% of 199.65 = 19.965; we deposit $19.96 in May (as we don't have an economical value worth a thousandth of a dollar in this problem).
10% of 219.61 = 21.961; we deposit $21.96 in June.
10% of 241.57 = 24.157; we deposit $24.15 in July.
10% of 265.72 = 26.572; we deposit $26.57 in August.
Our total value is $292.29, although if we added the thousandths, we'd have $292.31; therefore your answer is going to be D.) $292.31
I hope this helps!
Answer:
27,600
Step-by-step explanation:
We use the following formula:-
Number of permutations of r from n
= nPr
= n! / (n-r)!
I am assuming you don't allow repeated letters in the 4 letter codes.
Take S as the first letter. Then we have 3 letters extra out of 25 letters.
Using the above formula the possible ways of doing this is
25! / (25 - 3)!
25! / 22!
= 25*24*23
= 13800.
The same number is obtained if the first letter is a T.
So the answer is 2*13800
= 27,600
Answer:
t = 8.2 sec
Step-by-step explanation:
the ball will move with uniform deceleration due to gravity until it reaches the highest point at which v = 0 then will change its direction and continue with uniform acceleration until it hits the ground.
the time the ball takes to reach the highest point equals the time it takes to return to the ground again.
to calculate the total time, we calculate the first half then multiply it by 2
we use the first equation because we have all the variables except time
v = 0 , u = 40 , a = -9.8
0 = 40 - 9.8t
t = 4.1 sec
total time = 4.1 x 2 = 8.2 sec
