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2 years ago

When is Cheryl's birthday?

Mathematics

1 answer:

Lana71 [14]2 years ago

6 0

Answer:

july 16

Step-by-step explanation:

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Solve the system by using a matrix equation (Picture provided)

Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as $\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]$

A= $\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]$

X= $\left[\begin{array}{c}x\\y\end{array}\right]$

B= $\left[\begin{array}{c}4\\2\end{array}\right]$

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

= (-42)-(-40)

= (-42) + 40 = -2

so, |A| = -2

Adj A= $\left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]$

A⁻¹ = $\left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]$ / -2

A⁻¹ = $\left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]$

X= A⁻¹ B

X= $\left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]$

X= $\left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]$

X= $\left[\begin{array}{c}12-4\\20-7\end{array}\right]$

X= $\left[\begin{array}{c}8\\13\end{array}\right]$

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0

3 years ago

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charges 2.49 for each ice cream cone

valentina_108 [34]

Answer:

No answer

Step-by-step explanation:

You seemed to have not pisted the whole question. if you need to find the cost of a certain number of cones, use this equation.

Y=2.49x

Let Y equal the total cost

Let x equal the number of cones

7 0

3 years ago

Read 2 more answers

A group of vacationing gamblers were asked which casino games they had played to date. 5 gamblers said they played blackjack, ro

leonid [27]

Answer: There are 13 gamblers who played exactly two games.

Step-by-step explanation:

Since we have given that

Number of gamblers played black jack, roulette and poker = 5

Number of gamblers played roulette and poker = 8

Number of gamblers played black jack and roulette = 11

Number of gamblers played only poker = 12

Number of gamblers played poker = 24

Number of gamblers who played only roulette and poker is given by

$8-5=3$

Number of gamblers who played only black jack and roulette is given by

$11-5=6$

Number of gamblers who played only poker and black jack is given by

$24-(12+3+5)\\\\=24-20\\\\=4$

So, the number of gamblers who played exactly two games is given by

$3+6+4=13$

Hence, there are 13 gamblers who played exactly two games.

7 0

3 years ago

You are given two triangles. On the first triangle side GH = 3 and side IG = 5. On the second triangle side JK = 3 and side LJ =

Anika [276]

Answer:KL

Step-by-step explanation:

7 0

3 years ago

Ana recycles a cookie tin use for storing school supplies. The tin is a rectangular prism with a length of 14 centimeters, a wid

Talja [164]

Answer:

Step-by-step explanation:

7 0

3 years ago