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3 years ago

3х – 4 + 20 = 55 What is the answer to this

2 answers:

5 0

So you first do -4+20=16 then you subtract 16,from 55 and get it out of your equation what you have left is 3x=39 then you simplify that by dividing both sides by 3 and your answer is 13

Ghella [55]3 years ago

4 0

Answer:

x = 13

Step-by-step explanation:

3х – 4 + 20 = 55

3x (-4 + 20) = 55

3x + 16 = 55

Subtract 16 from both sides

3x = 39

Divide by 3 on both sides

x = 13

Hope this helps :)

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Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the

Sunny_sXe [5.5K]

Answer:

x is approximately 226.3 feet

y is approximately 308.6 feet

z is approximately 226.3 feet

Step-by-step explanation:

The given parameters of the walls are;

The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°

From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°

The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet

x = The height of the shorter wall = l × sin(θ₂)

∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet

∴ x ≈ 226.3 feet

By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6

y ≈ 308.6 feet

z = l × cos(θ₂)

∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

6 0

3 years ago

John bought three thermos flask at a total of st 1080 he later sold at 400 each what was his percentage

trasher [3.6K]

Answer:

$\boxed{ \bold{ \boxed{ \sf {11.11\%}}}}$

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

Finding the selling price of three thermos flask

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

$\sf{profit = sp \: - \: cp}$

⇒ $\sf{1200 - 1080}$

⇒ $\sf{120}$

Profit amount = 120

Finding the profit percentage

$\sf{profit\% \: = \frac{profit}{cp} \times 100 \%}$

⇒ $\sf{ \frac{120}{1080 } \times 100\%}$

⇒ $\sf{11.11\%}$

Hope I helped!

Best regards!!

6 0

3 years ago

Simplify (4^7/5^2)^3

Nuetrik [128]

Answer:

4²¹/5⁶ or 4398046511104/15625

Step-by-step explanation:

Remember, when raising a term with an exponent to some power, you must multiply the powers.

$(\frac{4^{7} }{5^{2} })^{3} \\\\ = (\frac{(4^{7})^{3} }{(5^{2})^{3} }) \\\\= \frac{4^{7 * 3} }{5^{2* 3} } \\\\= \frac{4^{21} }{5^{6} } \\\\=\frac{4398046511104}{15625}$