Can someone plz help me.
Solving Equations

2-5(-2)=12

2-5(-1)=7

2-5(0)=2

2-5(1)=-3

2-5(2)=-8

Follow below steps:

The student is seeking to find two consecutive integers whose sum is 329. This is a mathematics problem and involves understanding of even and odd numbers as well as basic algebra. Since the numbers are consecutive, we can represent them as n and n + 1. The sum of these numbers given in the problem is 329, so we have the equation n + (n + 1) = 329.

Solving this equation:

Combine like terms: 2n + 1 = 329

Subtract 1 from both sides: 2n = 328

Divide both sides by 2: n = 164

Thus, the two consecutive page numbers of the book are 164 and 165

The total number of customers who took the survey is 320 customers

let

x = total number of customers

percentage of "very satisfactory" customers = 45%

Number of "very satisfactory" customers = 144

So,

Number of "very satisfactory" customers = percentage of "very satisfactory" customers × total number of customers

144 = 45% × x

144 = 0.45 × x

144 = 0.45x

x = 144/0.45

x = 320

Therefore, the total number of customers who took the survey is 320

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Final answer:

The algebraic equation derived from the statement is solved by isolating 'x' after moving terms to either side of the equation and combining like terms. The solution to the equation is x = -136, which represents the certain number in question.

Explanation:

Solving the Algebraic Equation

The question can be translated into an algebraic equation. Let's call the certain number 'x'. According to the problem, 'two more than a certain number is 15 less than the product of 7/8 and the number'. We can write this as:

x + 2 = (7/8)x - 15

To solve for x, we can start by moving all terms involving x to one side of the equation and the constant terms to the other side, aiming to isolate x:

Subtract (7/8)x from both sides to get x - (7/8)x + 2 = -15.

Combine like terms, remembering that x is the same as (8/8)x, which results in (1/8)x + 2 = -15.

Subtract 2 from both sides to get (1/8)x = -17.

Multiply both sides by 8 to find x. Therefore, x = -136.

The certain number in the equation is -136.

In order to achieve the times that he did in going to and from the store, Tom went at an average speed of 5.14 miles per hour.

The store was 3 miles away which means that the distance of the entire trip is:

= Distance going + Distance coming

= 3 + 3

= 6 miles in total

The time he took was:

= Time going + Time coming

= 1/2 hours + 2/3 hours

= 0.5 + 0.67

= 1.17 hours

His average speed for the entire journey is:

= Distance / Time

= 6 / 1.17

= 5.14 miles per hour

In conclusion, Tom's average speed was 5.14 miles per hour.

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Answer:

Step-by-step explanation:

Given:

Alphabet: d

Word: combed

First, we note down the length of the word "combed";

The length is 6 characters

The we check the number of occurrence of d in the word "combed"

Occurrence of d = 1

Probability is then calculated as;

Probability of choosing d = [tex]\frac{Number of Occurrence}{Total Observation}[/tex]

By Substitution; Probability = [tex]\frac{1}{6}[/tex]

Given:

Roll number = 7

Sample Space= {2,4,8,9,4, 7}

Sample Size, n(S) = 6

We check the number of occurrence of 7 in the sample space

Number of occurrence = 1

Probability is then calculated as;

Probability of rolling a 7 = [tex]\frac{Number of Occurrence}{Sample Size}[/tex]

By Substitution; Probability = [tex]\frac{1}{6}[/tex]

Given

Red = 12

Green = 10

Yellow = 2

Blue = 19

Purple = 9

Total = 12 + 10 + 2 + 19 + 9 = 42

Probability of picking a green marble is then calculated as;

Probability of choosing d = [tex]\frac{Number of Green}{Total}[/tex]

By Substitution; Probability = [tex]\frac{10}{42}[/tex]

Probability = [tex]\frac{5}{21}[/tex]

The words 'tenth rough tough laugh guess' in alphabetical order are 'guess, laugh, rough, tenth, tough'. The order is determined by the letters of the alphabet.

The English words from your question 'tenth rough tough laugh guess' can be rearranged in

alphabetical order

as follows: 'guess, laugh, rough, tenth, tough'. Alphabetical order is determined by the letters of words following the order of letters in the alphabet. So, first, all the words starting with 'g', then 'l', then 'r', then 't'. In this specific circumstance, since 'tenth', 'tough', and 'rough' all begin with the same letter, we must look at the following letter in each word to determine their order.

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To find numbers divisible by 3, 4, and 5, we need to find common multiples of these three numbers. One example is 30, and other possible numbers include 60 and 90.

When we need to find numbers that are divisible by 3, 4, and 5, we can look for numbers that are common multiples of these three numbers. In other words, we need to find numbers that can be divided evenly by 3, 4, and 5 without any remainder. Let's take a look at the first few numbers and see if they satisfy this condition.

From our analysis, we found that the number 30 is divisible by 3, 4, and 5. We can list two more numbers by finding common multiples of these three numbers.