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3 years ago

Simplify (4/5) (5/6) (6/7) (7/8) (8/9)

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

4/9 thank you for the points

JulijaS [17]3 years ago

5 0

Answer:

4/9

Step-by-step explanation:

using cross canceling you see

(4(5)(6)(7)(8))/(5(6)(7)(8)(9))

everything cancels except for the 4 on top and the 9 on the bottom so

4/9

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What is the formula to find the area of a circle?

VMariaS [17]

Answer:it’s A

Step-by-step explanation:

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3 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

3 years ago

A chess player played 44 games total. If he won 16 of the games, what is the ratio of games he lost to games he won?

BlackZzzverrR [31]

56 ratio is it so yep

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3 years ago

Gemma and Leah are both jewelry makers. Gemma made 106 beaded necklaces. Leah made 39 more necklaces than Gemma.

timofeeve [1]

Answer:

Gemma made $34 more than Leah.

Step-by-step explanation:

Gemma made number of beaded necklaces = 106

Leah made 39 more necklaces than Gemma.

Leah made number of beaded necklaces = 106 + 39 = 145

a. There are 104 beads on each necklace.

The total number of beads used altogether

= (106 × 104) + (145 × 104)

= 11,024 + 15,080

= 26,104

b. Gemma sold her 106 necklaces for = $14

Total price of her necklaces = 106 × 14

= $1,484

Leah sold her 145 necklaces for = $10

Total price of her necklaces = 145 × 10

= $1,450

Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00

Therefore, Gemma made $34.00 more money than Leah.

6 0

3 years ago

What is x more than 3x-1

Fofino [41]

Answer:

Step-by-step explanation:

3x - 1 +x = 2x-1

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