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Bezzdna [24]
3 years ago
6

Which ordered pair is the solution to the system of equations?

Mathematics
1 answer:
Contact [7]3 years ago
5 0
\left \{ {{2x+y=-8} \atop {x-y=-4}} \right. \\+----\\\\3x=-12\ \ \ \ |:3\\x=-4\\\\-4-y=-4\\-4+4=y\\y=0\\\\Answer\ D(-4,0)
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Alan has twice as many dimes as he has quarters and 10 more nickels than dimes. The remaining 35 coins are pennies. How many of
zaharov [31]

Answer:

He has 3 quarters , 6 dimes and 16 nickles

Step-by-step explanation:

∵ Dimes is d , Quarter is q , nickels is n and pennies is p

∵ Quarter = 25 cents

∵ Dime = 10 cents

∵ Nickle = 5 cents

∵ Penny = 1 cent

∵ The remaining 35 coins are pennies ⇒ 35 cents

∵ He has $2.50 = 2.50 × 100 = 250 cents

∴ The value of quarters , dimes and nickels = 250 - 35 = 215 cents

∴ 25q + 10d + 5n = 215 ⇒ (1)

∵ d = 2q  

∴ q = 1/2d ⇒ (2)

∵ n = 10 + d ⇒ (3)

Substitute (2) and (3) in (1)

∴ 25(1/2 d) + 10d + 5(10 + d) = 215

∴ 12.5d + 10d + 50 + 5d = 215

∴ 27.5d = 215 - 50

∴ 27.5d = 165

∴ d = 165 ÷ 27.5

∴ d = 6

∴ q = 1/2 (6) = 3

∴ n = 10 + 6 = 16

∴ He has 3 quarters , 6 dimes and 16 nickles

7 0
3 years ago
Read 2 more answers
Show proof for the question below Please help it would mean everything to me 50 points and brain thing
Naily [24]

Answer:

JK and LM are equal because it tells us they are equal.

JL and LN are equal because L is the midpoint of JN.

Since they are both equal, sides LK and NM must be equal.

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
HELP ME PLZ
joja [24]
Ok I think it’s 26 if I’m wrong sorry
7 0
3 years ago
Matthew is making a sequence in which -3 is added to each successive term. The 6th term in his sequence is -1. What is the 1st t
Hatshy [7]

Answer:

The first term is 14.

Step-by-step explanation:

The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference.  Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1).  The first term is 14.



3 0
3 years ago
Missy took a math test and got 35 correct and 10 incorrect. What was the percentage of correct answers?(round to the nearest hun
UNO [17]

Answer:

77.77 or 78%

Step-by-step explanation:

She got 35/45 so

35 divided by 45 is 0.777777778

0.777777778 x 100 = 77.7777778

77.77% or 78%

3 0
3 years ago
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