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Zielflug [23.3K]
3 years ago
5

7x+5y=-13 -2x=7y+26 Solve by elimination

Mathematics
2 answers:
RSB [31]3 years ago
5 0

Answer:

Point form : (1,-4)

Equation for, : x=1, y=-4

Step-by-step explanation: Add the fractions in order to solve for the first variable. Plug this vale into the other equations in order to solve for the remaining variables.

Hope this helps you out! ☺

11Alexandr11 [23.1K]3 years ago
4 0

Answer:

Step-by-step explanation:

7x + 5y = -13 ....multiply by 2

-2x - 7y = 26 .....multiply by 7

-------------------------

14x + 10y = -26 (result of multiplying by 2)

-14x - 49y = 182 (result of multiplying by 7)

-----------------------add

-39y = 156

y = -156/39

y = -4

7x + 5y = -13

7x + 5(-4) = -13

7x - 20 = -13

7x = -13 + 20

7x = 7

x = 7/7

x = 1

check...

-2x = 7y + 26

-2(1) = 7(-4) + 26

-2 = -28 + 26

-2 = -2 (correct)...it checks out

answer is : x = 1 and y = -4 or (1,-4)

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A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl
77julia77 [94]

Answer:

The probability is 2,010,580/13,378,456

Step-by-step explanation:

Here is a combination problem.

We want to 7 cards from a total of 52.

The number of ways to do this is 52C7 ways.

Also, we know there are 12 face cards in a standard deck of cards.

So we are selecting 3 face cards from this total of 12.

So also the number of cards which are not face cards are 52-12 = 40 cards

Out of all these 40, we shall be selecting exactly 4. The number of ways to do this 40C4

Thus, the required probability will be;

(40C4 * 12C3)/52C7 = (91,390 * 220)/133,784,560

= 20,105,800/133,784,560 = 2,010,580/13,378,456

7 0
3 years ago
Round 12.34 to one significant figure
bogdanovich [222]
All digit of the number 12.34 are significant.
8 0
3 years ago
There are 14 tops you’d like to purchase, but you can only afford six. If you select tops at random, how many different groups o
Slav-nsk [51]

Answer:

3003 different groups of 6tops

Step-by-step explanation:

Using the combination formula, generally, when selecting r number of objects out of a pool of n numbers, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If there are 14 tops I'd like to purchase and I can only afford six, the number of ways I can choose this six at random from the 14tops can be done in 14C6 number of ways.

14C6 = 14!/(14-6)!6!

14C6 = 14!/8!6!

14C6 = 14×13×12×11×10×9×8!/8!×6×5×4×3×2

14C6 = 14×13×12×11×10×9/6×5×4×3×2

14C6 = 14×13×12×11/8

14C6 = 3003ways

5 0
3 years ago
If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?
Zigmanuir [339]

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

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number of full time members = f = 13

If p = 17 this month, then, f = 13

5 0
2 years ago
22 divided y equals -2
stepan [7]
22 divided by -2 and you get -11 then 22 divided by -11 = -2
4 0
3 years ago
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