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3 years ago

Solve 2/3x-1/5>1 Need help asap

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

4 0

Answer:

Step-by-step explanation:

Step 1: Add 1/5 to both sides

$\frac {2}{3}x - \frac {1}{5} + \frac {1}{5} > 1 + \frac {1}{5}$

$\frac {2}{3}x > 1 + \frac {1}{5}$

Step 2: Combine on the right side

$\frac {2}{3}x > 1 + \frac {1}{5}$

$\frac {2}{3}x > \frac {6}{5}$

Step 3: Multiply both sides by 3/2

$\frac {2}{3}x * \frac {3}{2} > \frac {6}{5} * \frac {3}{2}$

$x > \frac {18}{10}$

Step 4: Simplify

$x > \frac {18/2}{10/2}$

$x > \frac{9}{5}$

Answer: $x > \frac {9}{5}$

nalin [4]3 years ago

3 0

Answer:

x > 9/5

Step-by-step explanation:

might not be correct but ur welcome for the help

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The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of

Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

By using cosine rule

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

By using similarity ratio

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

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3 years ago

What multiplication problem equals 130

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3 years ago

At a local seaside, a vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50. The vendor stocks a maxim

guapka [62]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of single cone ice cream and let y represent the number of double cone ice cream.

Since the vendor stocks a maximum of 70 single cones and a maximum of 45 double cones. hence:

0 < x ≤ 70, 0 < y ≤ 45 (1)

The vendor expects to sell no more than 50 ice creams, hence:

x + y ≤ 50

Plotting the constraint using geogebra online graphing tool, we can see that the solution to the problem is at (5, 45)

Since the vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50, hence:

Revenue = 3x + 4.5y

At the point (5, 45), the revenue is:

Revenue = 3(5) + 4.5(45) = $217.5

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3 years ago

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konstantin123 [22]

The answer is 1 3/16 inches

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3 years ago

5•1000000 is how many times as large as 5•10000

gizmo_the_mogwai [7]

Answer:

100 times

Step-by-step explanation:

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3 years ago

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