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2 years ago

Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought

Mathematics

1 answer:

Aleks04 [339]2 years ago

6 0

Answer:

C. $12.60

Step-by-step explanation:

he has $25.00 for the whole week

monday through thursday, or four days, he buys school lunch for $1.50

1.5 x 4 = 6

on friday, he buys 4 slices of pizza for $1.60 per slice

4 x 1.6 = 6.4

Expenses together:

6.4 + 6 = 12.4

Find what he has left:

25-12.4 = 12.6

C. $12.60

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3 years ago

Read 2 more answers

F(x)=2x+1/x-1 then f^-1(1)

olasank [31]

Answer:

f⁻¹(x) = (x + 1) / (x - 2)
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Step-by-step explanation:

Given function:

f(x) = (2x + 1) / (x - 1)

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x = (2y + 1) / (y - 1)
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6 0

2 years ago

4. The area of the parallelogram is 81.9 in? What is the height

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3 years ago

Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

3 years ago