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3 years ago

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Silas is starting a lawn mowing company. He determines the start up cost to purchase law mowers is $560. He figures each law wil

l use $1 worth of gasoline. How many lawns does Silas have to mow for his start up cost and profit to be the same amount?
I need the equation for this word problem please. 10 points.

1 answer:

Lelechka [254]3 years ago

3 0

Answer:

$1 x $560 =$560

Step-by-step explanation:

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Find the x and y intercepts of the graph of the linear equation 3x+6y=24

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Answer:

x =(0,6) y=(0,8)

Step-by-step explanation:

3x+6y=24

make x =0

3(0)+6y=24

6y=24

y=6 x=0

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3 years ago

Which expressions are equivalent to 2 (three-fourths x 7) minus 3 (one-half x minus 5)? Check all that apply. -1 29 2 (three-fou

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The expression is equivalent to $\rm2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$ .

<h2 /><h2>Given that</h2>

Expression; $\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)$

<h3>We have to determine</h3>

Which expressions are equivalent to the given expression.

<h3>According to the question</h3>

Expression; $\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)$

To solve the given expression follow all the steps given below.

By applying the distributive property of multiplication;

$\rm a(b+c) = ab+ac$

Then,

The equivalent expression is,

$\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)\\
\\
\rm (2 \times \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\
\\
2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$

Hence, the expression is equivalent to $\rm2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$ .

To know more about Equation click the link given below.

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2 years ago

A. 76°<br><br> B. 72°<br><br> C. 70°<br><br> D. 12°

Crank

Answer:measurement of angle B is

$70 \: \: degrees$

<h3>Answer C is correct</h3>

Step-by-step explanation:

$6x - 2 + 5x + 18 + 2x + 8 = 180 \\ 13x + 24 = 180 \\ 13x = 180 - 24 \\ 13x = 156 \\ \frac{13x}{13} = \frac{156}{13} \\ x = 12 \: \: degrees$

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3 years ago

PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

<em>(h, k)</em><em> - vertex</em>

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using $k+\dfrac{1}{4a}$

<em>k = -5</em>

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$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

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Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

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<em>use the distributive property: a(b+c)=ab+ac</em>

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3 years ago