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pentagon [3]
3 years ago
13

What is the solution of the system of equations?

Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

the right answer is H.(1,3)

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The Jones family went to a play and paid $74 for 2 adults and 2 children. The Tucker family went to the same play and paid $86 f
Sveta_85 [38]
The answer is $25.

x - the price of an adult ticket
y - the price of a child ticket

The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86

This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
____
Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25

So, the price of the adult ticket is $25 and the price of the child ticket is $12.
5 0
3 years ago
The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?
amm1812

Answer:

4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

\tan \: 24 \degree =  \frac{height \: of \: person}{length \: of \: the \: shadow}  \\  \\ 0.4452286853 =  \frac{1.82}{x}  \\  \\ x =  \frac{1.82}{0.4452286853}  \\  \\ x = 4.08778693 \: m \\ x = 4.09 \: m

7 0
3 years ago
What is the equation for x=-5
Tatiana [17]
X-5=x I'm sure it can be the correct
6 0
4 years ago
Nico Joven presently earns $348.40 per week. He claims
mariarad [96]

Answer:

sou do Brasil dcp ;-;kssskskksk

3 0
3 years ago
(Please help!!) Solve: x2+6x+9
kherson [118]

if you're trying to solve for x, and it is equal to zero, then it would be -3. plug it in and it would all cancel out

7 0
3 years ago
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