How do I write this equation without fractions or decimals?<br> 2-(3/4)x=2/5

For each value y what is a solution to 5y-1>24

emmasim [6.3K]

Answer:

y = 5

steps:

1). Move all terms not containing y to the right side of the inequality.

5y>25

2). Divide each term by 5 and simplify.

y>5

3 0

3 years ago

A small theater had 9 rows of 25 chairs each. An extra 6 chairs have just been brought in. How many chairs are in the theater no

geniusboy [140]

231 chairs because 9 times 25 is 225, plus 6 is 231

7 0

3 years ago

Read 2 more answers

Answer the following

Amanda [17]

The set A satisfying the given inequality is A = (- $\infty$ , -10].

<h3>What are some properties of an inequality relation? </h3>

Following are some facts which are true for an inequality relation:

Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.

$\frac{5x-2}{8} - \frac{3x-5}{10} &\ge& x+y\\\\\Rightarrow\;\; \frac{13}{40}x + \frac{1}{4}&\ge& x+y\\\\\Rightarrow\;\;\;\;\;\; -\frac{27}{40}x &\ge & y - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\;\; -x &\ge & \frac{40}{27}\left( y-\frac{1}{4} \right).\hspace{1cm}(1)$

Since y ∈ B, -2 ≤ y ≤ 7. So,

$\;\;\;\;\;\;\;\,-2 - \frac{1}{4}\; \le\; y - \frac{1}{4} \;\le\; 7 - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\; -\frac{9}{4}\; \le\; y - \frac{1}{4} \;\le\; \frac{27}{4}\\\\\Rightarrow\;\;\; -\frac{9}{4}\cdot \frac{40}{27} \;\le\; \frac{40}{27} \left( y-\frac{1}{4} \right) \;\le \;\frac{27}{4}\cdot \frac{40}{27}\\\\\Rightarrow\;\;\;\;\;\;\;\; -\frac{10}{3} \;\le\; \frac{40}{27}\left( y - \frac{1}{4} \right)\; \le\; 10.$

The set {-x | inequality (1) holds ∀ y ∈ B} is [10, $\infty$ ) i.e.

10 ≤ -x ≤ $\infty$ .

Multiplying -1 throughout gives

-10 ≥ x ≥ - $\infty$ .

x, thus, lies in the range A = (- $\mathbf{\infty}$ , -10}.

Learn more about the inequality here.

brainly.com/question/17801003

Disclaimer: The question was incomplete. Please find the full content below.

<h3>Question </h3>

Find the set A such that for x ∈ A

$\frac{5x - 2}{8} - \frac{3x - 5}{10} \ge x + y$

∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.

#SPJ4

4 0

2 years ago

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 8 vowels and 12 consonants, what

velikii [3]

Answer: 6/25

Step-by-step explanation:

Number of vowels = 8

Number of consonants = 12

Total number of tiles in bag = (number of vowels + number of consonants)

Total = (12 + 8) = 20

Probability = (required outcomes / total possible outcome)

Probability of choosing a consonants = (number of consonants / total number of word tiles)

P( consonants) = 12 / 20 = 3/5

Since it is with replacement, total number of word tiles will still be 20

Probability of choosing a vowel = (number of vowels / total number of word tiles)

P( vowels) = 8 / 20 = 2/5

Therefore,

P(constant then vowel) = 3/5 * 2/5 = 6/25

4 0

3 years ago

The area of a square is found by squaring one of its sides, (A = s 2). A certain square has an area of z 2 + 18z + 81. Factor th

Misha Larkins [42]

<span>so to factor the trinomal: z^2+18z+81 In this problem 9*9=81 and 9+9=18, so insert 9 as the right hand term of one factor and 9 as the right-hand term of the other factor. (z+9)(z+9) Combine the two common factors of (z+9) by adding the exponents. (z+9)^2</span>

6 0

3 years ago

Read 2 more answers

How do I write this equation without fractions or decimals? 2-(3/4)x=2/5