Compare using <, >, or =.
7/9_____4/9

Answers

Answer 1

Answer: < is the answer , trust me

Answer 2

Answer: Think of fractions like a pizza pie, the more parts it's cut into the less everyone will have. 7/9 is smaller than 4/9 because of the remainder of what would be left over if this was actual pie.

7/9 is less than (the first symbol) 4/9

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6x + 2y = 10 in slope intercept form

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b.

To solve this, you have to rearrange the equation to leave y alone.

First, you have to subtract 6x from both sides, so 2y is alone.

6x - 6x + 2y = 10 - 6x

2y = -6x + 10

Then, you have to divide both sides by 2, so y is alone.

2y/2 = (-6x/2) + (10/2)

y = -3x + 5

Hope this helps!

Use trig to solve for x show work

Answers

For example: 12. cos(20 degrees) = x/25 => x = 25*cos(20degrees).

The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.A: number of cars; money raised; 30 to 100 cars; $600 to $2000
B: money raised; number of cars; 30 to 100 cars; $600 to $2000
C: number of cars; money raised; $600 to $2000; 30 to 100 cars
D: money raised; number of cars; $600 to $2000; 30 to 100 cars

Answers

independent variable = number of cars with domain 30 to 100 cars
dependent variable = moner raised with range $600 to $2000

If f(x)=x^2+3x-10, then f(10)=?

Answers

Answer:

f(10) = 120

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = x² + 3x - 10

f(10) is x = 10

Step 2: Evaluate

Substitute: f(10) = 10² + 3(10) - 10
Exponents: f(10) = 100 + 3(10) - 10
Multiply: f(10) = 100 + 30 - 10
Add: f(10) = 130 - 10
Subtract: f(10) = 120

The yearbook club had a meeting. The meeting had 15 people, which is three-fifths of the club. How many people are in the club?

Answers

25.
For me, I just did 15 divided by 3, which equals to 5. So.. You do 5 x 5 to find out how many people there are in the club in total.

Final answer:

The question is about finding the total number of people in the yearbook club given that 15 people represent three-fifths of the total. By using a proportion, we find that the yearbook club has 25 people.

Explanation:

This is a proportional relationship problem in mathematics. You are given that 15 people represent three-fifths (or 3/5) of the total number of people in the yearbook club. To find the total number of people in the club, you set up the proportion: 15 is to 3 and X is to 5.

Then, cross multiply and solve the equation for X. 3*X = 15*5, therefore X = 75/3 = 25. So, there are 25 people in the yearbook club.

Learn more about Proportional Relationships here:

brainly.com/question/34138295

#SPJ2

Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to increase daily sales. To determine the effectiveness of the advertising campaign, a sample of 49 days of sales were taken. They found that the average daily sales were $6,300 per day. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice A. Reject the null hypothesis and conclude that the mean is equal to $6,000 per day.
B. Fail to reject the null hypothesis.
C. Reject the null hypothesis and conclude the mean is lower than $6,000 per day.
D. Reject the null hypothesis and conclude the mean is higher than $6,000 per day.

Answers

Answer:

Option B) Fail to reject the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $6,000

Sample mean, $\bar{x}$ = $6,300

Sample size, n = 49

Alpha, α = 0.01

Population standard deviation, σ = $1,000

First, we design the null and the alternate hypothesis

$H_(0): \mu = 6000\text{ dollars per week}\nH_A: \mu > 6000\text{ dollars per week}$

We use one-tailed(right) z test to perform this hypothesis.

Formula:

$z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }$

Putting all the values, we have

$z_(stat) = \displaystyle(6300 - 6000)/((1000)/(√(49)) ) = 2.1$

Now, $z_(critical) \text{ at 0.01 level of significance } = 2.33$

Since,

$z_(stat) < z_(critical)$

We fail to reject the null hypothesis and accept the null hypothesis. Thus, we conclude that sales have not increased as a result of the advertising campaign

Option B) Fail to reject the null hypothesis.

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