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4 years ago

X + 8 < 10 Please help

Mathematics

1 answer:

taurus [48]4 years ago

8 0

In this question, you're solving the inequality by solving for x.

Solve for x:

x + 8 < 10

<em>subtract 8 from both sides</em>

x < 2

Answer:

x < 2

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Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )

OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))

Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )

Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))

x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x

x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2

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3 years ago

The Cost of producing n items is given as C = 5 + 2n, where 5 is initial cost and 2 is a cost per item. Profit is given as P = 3

aleksandrvk [35]

P=5 and initial to the 3 price

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3 years ago

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter

maksim [4K]

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

$\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}$

$\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}$

$\text{Probability that dart lands inside the triangle}=\frac{162}{648}$

$\text{Probability that dart lands inside the triangle}=0.25$

Convert into percentage:

$0.25\times 100\%=25\%$

Therefore, the probability that dart lands inside the triangle is 25%.

7 0

3 years ago

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Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and

trasher [3.6K]

Answer:

XY is 4 units.

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$

Putting the given values, we have,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}$

Thus, the length of XY is 4 units.

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3 years ago

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

aksik [14]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

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4 years ago

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