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3 years ago

What is the slope of the line? x+3y=10

Mathematics

1 answer:

LiRa [457]3 years ago

7 0

Answer:

m = -1/3

Step-by-step explanation:

First, write the equation in slope-intercept form:

3y = 10 - x

y = 10/3 - x/3

y = 10/3 - 1/3x

Since our slope is the coefficient of the x term, our slope is -1/3.

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The admission fee at a small fair is $1.50 for children and $4.00 for adults. On Saturday, 1000 people entered the fair and $255

miss Akunina [59]

Answer:

Number of children tickets sol= 580

Number of adults tickets sol= 420

Step-by-step explanation:

First, we establish a system of equations:

1.5*x + 4*y= $2,550

x + y = 1,000

x= number of tickets for children sold

y= number of tickets for adults sold

Now, we determine the value of x in one equation and substitute in the other:

x= 1,000 - y

1.5*(1,000 - y) + 4y = 2,550

1,500 - 1.5y + 4y = 2,550

2.5y = 1,050

y= 420

x= 1,000 - 420

x= 580

Number of children tickets sol= 580

Number of adults tickets sol= 420

Prove:

1.5*580 + 4*420= $2,550

580 + 420 = 1,000

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3 years ago

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How do you write 84% as a fraction, mixed number, or whole number in simplest form?

melomori [17]

0.84 [Decimal] And in simplest form.

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Eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

german

X = 6 cos(t)
y = 3 sin(t)

we can rewrite these equations as:

$\frac{x}{6}=cost(t) \\ \\ \frac{y}{3} =sin(t)$

Taking squares of both equations we get:

$( \frac{x}{6})^{2}=sin^{2} (t) \\ \\ 
( \frac{y}{3})^{2}=cos^{2}(t)$

Adding both the equations, we get:

$\frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=sin^{2}(t)+cos^{2}(t) \\ \\ 
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Which of these expressions is a monomial?

Margarita [4]

A monomial has one term. Therefore, A is the only one with one term.

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