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2 years ago

Ask an expert 2+3/10X>=13/20 Solve for inequality Thanks!

Mathematics

1 answer:

dolphi86 [110]2 years ago

8 0

Answer:

The answer is in the picture.

Step-by-step explanation:

$2+\frac{3}{10x}\geq\frac{13}{20} \\\\\frac{3}{10x}\geq\frac{13}{20} -2 \\\\\frac{3}{10x}\geq\frac{13}{20} -\frac{40}{20} \\\\\frac{3}{10x}\geq-\frac{27}{20} \\\\3\geq-\frac{27}{20}*10 x \\\\3\geq-\frac{270}{20} x\\\\3\geq-\frac{27}{2} x \\\\3*-\frac{2}{27} \leq x\\\\-\frac{6}{27} \leq x\\\\-\frac{2}{9} \leq x$

Also x cannot equal to 0 if you plug in into the original equation the answer is indefinite/not solution.

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True or False: (EXPLAIN your answer) If angle CEF is complementary to angle DCF,

frosja888 [35]

Answer:

True

Step-by-step explanation:

Givens:

From if part: m<CEF+m<DCF=90

From picture: m<CEF+m<FEG=90

Subtracting the equations we get:

m<DCF-m<FEG=0

Adding m<FEG on both sides:

m<DCF=m<FEG

So true.

6 0

3 years ago

Colin buys a car for £28100.

andriy [413]

Answer:

The amount the car will be worth after 6 years is £21,917 and 22 pence

Step-by-step explanation:

The amount for which Colin buys the car, PV = £28,100

The amount by which the car depreciates each year, r = 4%

The number of years after which the value of the car is sought, n = 6 years

The future value, FV, based on an annual depreciation is given as follows;

$FV = PV \times \left ( 1 + \dfrac{r}{100} \right ) ^n$

Substituting the known values gives;

$FV_6 = 28,000 \times \left ( 1 - \dfrac{4}{100} \right ) ^6 = 21,917.22$

Therefore, the amount the car will be worth after 6 years, future value FV₆ = £21,917 and 22 pence

5 0

3 years ago

Item 16 The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation t

masya89 [10]

Answer:

k = 2

x = 2y

Step-by-step explanation:

If variables x and y vary directly, this is expressed as;

x ∝ y

x = ky

k is the proportionality constant

Let's assume the value of x and y since we are not given;

x = 20

y = 10

Substitute

20 = k(10)

10k = 20

k = 20/10

k = 2

Hence the constant of proportionality is 2

Substitute i=k = 2 into the equation x = ky

x = 2y

Hence an equation that relates x and y is x = 2y

<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>

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3 years ago

Your are part of a team studying an endangered species of land snail in upstate New York. You and your colleagues capture and ma

ELEN [110]

Answer:

720 individuals

Step-by-step explanation:

According to my research, I can say that based on the information provided within the question you can conclude that the population of land snails has about 720 individuals. We can calculate this by using the Rule of Three formula that is attached below.

x ⇒ 80 marked

45 ⇒ 5 marked

$\frac{45*80}{5} = x$