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Delvig [45]
3 years ago
7

What is the solution to the inequality 0.8x+20<1.2x−40?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer:x=150

Step-by-step explanation:

Step 1: Subtract 1.2x from both sides.

0.8x+20−1.2x=1.2x−40−1.2x

−0.4x+20=−40

Step 2: Subtract 20 from both sides.

−0.4x+20−20=−40−20

−0.4x=−60

Step 3: Divide both sides by -0.4.

−0.4x

−0.4

=

−60

−0.4

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Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive? (1 point) Q
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3 years ago
Geometry 8.6.3 - Equations of Parallel and Perpendicular Lines and Proofs
Pepsi [2]

Option B: \frac{1}{25}

<u>Solution:</u>

<u>Slope of the perpendicular lines:</u>

If two lines are perpendicular then their slopes are negative reciprocals of each other.

$m_1=\frac{-1}{ m_2}

<u>Slope of the parallel lines:</u>

If two lines are parallel then they have the same slope.

i.e their slopes are equal.

m_1=m_2

Given line m and p are parallel.

Slope of the line m = \frac{1}{25}

Using slope of the parallel lines definition,

Slope of the line p = slope of the line m

Slope of the line p = \frac{1}{25}

Option B is the correct aswer.

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3 0
4 years ago
Given that cosΘ=8/17 and sinΘ=-15/17 what is the value of tanΘ?
Marta_Voda [28]
<span>tanΘ is given by the following equation:

</span>\frac{sin\theta}{cos\theta}
<span>
Plug in your known values into the formula:

</span>\frac{\frac{8}{17}}{\frac{-15}{17}} =  \frac{8}{17} \div \frac{-15}{17} = -\frac{8}{15}

tanΘ is equal to -8/15.
8 0
3 years ago
Read 2 more answers
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