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4 years ago

15

It was a nice day out and you decided to take your dog for a walk. While on the walk, you see an ice cream truck that is calling

your name. You reach in your pocket and realize you have a $20 bill. An ice cream cone costs $3. If you only buy the ice cream cone, write an inequality that you could use to determine how many ice cream cones you could buy. Your answer will be a decimal, so round it either up or down, depending on the situation!
Plzz write an inequality not a number!!!

1 answer:

tatiyna4 years ago

5 0

Answer:

She can buy a total of 6 cones.

x ≤ 6

Step-by-step explanation:

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What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ <em>subtract 2x from both sides</em>

$3y=-2x+6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ <em>subtract 4/3 from both sides</em>

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ <em>multiply both sides by 3</em>

$3y=-2x+5$ <em>add 2x to both sides</em>

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines <em>k</em> and <em>l</em> are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

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3 years ago

Give the domain and range of the relation. Indicate whether the relation is a function or not.

rewona [7]

D: {0, 1, 2, 3}

R: {−3, −2, 2, 5}

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That's the answer.

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3 years ago

The lines represented by the equations y = -X – 3 and

Kruka [31]

Answer:

The lines represented by the equations y = -X – 3 and

5y + 5x = -15

Step-by-step explanation:

neither are parallel nor perpendicular

Submit Answer

the same line

parallel

perpendicular

What is the answer?

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3 years ago

#24, the wording of the question throws me off.

dedylja [7]

I believe that the question is asking if there is a large variation between the results or not, as it asks if the births are with equal frequency. Since the largest is 72 and the smallest is 43 (for a 29 number difference), it doesn't seem like they are with the same frequency

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3 years ago

Principal, 2000$; Annual interest rate, 5.5%; time, 4 years

Alinara [238K]

Answer:

$440

Step-by-step explanation:

Interest=Principal × Rate × Time/100(Formula)

We have to find the Interest.

Interest = $2000× 5.5 × 4/100

100 Interest = 44000

Interest = 44000/100

Interest = $440(Answer)

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3 years ago

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