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3 years ago

10. Solve the inequalities and compare. a. Solve 2x+6 < 10.

Mathematics

1 answer:

natali 33 [55]3 years ago

4 0

Answer:

not possible, bother terms have to contain a letter variable

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Lorene's employer pays her $8.50 per hour plus an additional $45 per week. Lorene would like to earn enough money to purchase a

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8.50h + 45 (greater than or equal to) 300

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2 years ago

A pile of cards has 3 black cards and 5 red cards. Alex picks 6 cards out of the pile, without replacement. Which of the followi

scoray [572]

Answer:

)Alex picks more red cards than black cards,

Step-by-step explanation:

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2 years ago

Explain how you know which method you should use to solve a rational equation.

notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

$\frac{1}{2}=\frac{x}{2}\Rightarrow x=1$

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

7 0

2 years ago

PLEASE HELP I WILL BE PICKING BRAINLIEST

vagabundo [1.1K]

Answer:

Step-by-step explanation:

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3 years ago

What is the area of the front of the rectangular prism?

iVinArrow [24]

Answer:

Area = 28 cm² (check the attached diagram for better clarity)

Step-by-step explanation:

The question is incomplete but let's see a similar example

The front of a rectangular pyramid can refer to either one of two possibilities: it could be either the side that has the breadth and the height or the side that has the length and the height. In this case, we were given the formula for calculating the area of the front face of this rectangular prism as the product of breadth and height

Mathematically,

A = bh

From the attached diagram, we will see the properties of the rectangular prism as:

length = 5 cm, breadth = 4 cm, height = 7 cm

To calculate for the front face, we use A = bh,

⇒ A = 4 * 7 = 28 cm²

Example 2

If the breadth of the rectangular prism is 2 cm and the height is 3 cm, we have:

A = 2 * 3 = 6 cm²

7 0

2 years ago