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3 years ago

Plz show work 3(10-x)=21

Mathematics

2 answers:

Reika [66]3 years ago

6 0

X=3 because if you divide 21 and 3 you get 7 and in order to change the ten to a 7 you have to subtract it by 3. so x=3

Contact [7]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

3(10-x)=21

30-3x=21

-30 -30

-3x=-9

x=3

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3 years ago

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Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x

Anni [7]

The angle the line joining the given points make with the positive direction of the x-axis is 341.56°

The angle Ф between two points (x₁,y₁) and (x₂,y₂) is gotten from tanФ = (y₂ - y₁)/(x₂ - x₁).

Since (x₁, y₁) = (3b, a) and (x₂, y₂) = (3a, b)

Substituting the values of the variables into the equation, we have

tanФ = (y₂ - y₁)/(x₂ - x₁)

tanФ = (b - a)/(3a - 3b)

tanФ = -(a - b)/3(a - b)

tanФ = -1/3

taking inverse tan of both sides, we have

Φ = tan⁻¹(-1/3)

Φ = -tan⁻¹(1/3)

Φ = -18.43°

Converting to a positive angle, we have

Φ = -18.43° + 360°

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So, the angle the line joining the given points make with the positive direction of the x-axis is 341.56°

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3 years ago

What is 3 3/5 as a percent 360% 335% 36.0% Or 33.5%

Arlecino [84]

Answer:

3 3/5=360%

Solution 1 :

3 3/5=3+35

=3+(3÷5)

=3+0.6

=3.6

Convert the decimal to a percent:

=3.6×100

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5 0

3 years ago

Read 2 more answers

A fruit company has 20% returns in periods of normal rainfall and -3% returns in droughts. The probability of normal rainfall is

WARRIOR [948]

Answer:

$E(x) = 10.8\% \\\\$

The fruit company’s expected returns are 10.8%

Step-by-step explanation:

The expected returns of the fruit company is given by

$E(x) =\sum (x \cdot P(x)) \\\\$

For the given case,

Returns in normal rainfall = x₁ = 20% = 0.20

Returns in drought = x₂ = -3% = -0.03

Probability of normal rainfall = P(x₁) = 60% = 0.60

Probability of drought = P(x₂) = 40% = 0.40

So, the expected value of returns is

$E(x) = x_1 \cdot P(x_1) + x_2 \cdot P(x_2) \\\\E(x) = 0.20 \cdot 0.60 - 0.03 \cdot 0.40 \\\\E(x) = 0.12 - 0.012 \\\\E(x) = 0.108 \\\\E(x) = 10.8\% \\\\$

Therefore, the fruit company’s expected returns are 10.8%

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3 years ago

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solong [7]

Answer:

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3 years ago