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2 years ago

-6 EX=0

Mathematics

1 answer:

SpyIntel [72]2 years ago

7 0

Answer:

Step-by-step explanation:

a = adult cost

c = child cost

a = c + $3

200a + 100c =$2100

^ each # of tickets sold

200(c+3) + 100c =$2100

200c + 600 + 100 c = 2100 combine like terms

300c + 600 = 2100 need variable only on one side of equal sign so you subtract 600 from each side of the = sign

300c = 1500 now divide by 300 on both sides to isolate variable

c = $5

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I could use some more help

kherson [118]

Answer:

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

Step-by-step explanation:

Given

$A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

Required

2A - 4B

To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4

So, if

$A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right]$

$B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

then

$4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

$4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]$

So; 2A - 4B becomes

$\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]$

$\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right]$

$\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right]$

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

Hence, 2A - 4B is equivalent to

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

3 0

2 years ago

I need help with the bottom part I know the top parr

Inessa05 [86]

You used distributive property because when there’s parentheses in a equation you need to distribute the number outside of the parentheses

7 0

3 years ago

Simplify (6 + i)(8 − 3i).

andreev551 [17]

51-10i is your answer

6 0

2 years ago

Which expression best represents Maria's age if she is 1 3 of her father's age?

Anna71 [15]

Please paste the answer choices next time....
The expression should include a variable for marias age compared to a variable for her fathers

Something like
M=1/3F

M being maria's age and F being her fathers age

5 0

3 years ago

Read 2 more answers

The variable z is directly proportional to x, and inversely proportional to y. When x is 20 and y is 6, z has the value 66.66666

sergejj [24]

Answer:

41.667 to the nearest thousandth.

Step-by-step explanation:

z = kx/y where k is the constant of proportionality.

Inserting the given values:

66.666666666667 = k*20/6

20k = 6*66.666666666667

k = 6*66.666666666667 / 20

= 20

So the equation of variation is z = 20x /y

When x = 25 and y = 12:

z = 20*25/12

= 41.666666666667.

6 0

3 years ago