What is the prime factorization of 46?

The correct equation that could represent Relationship A, which has a greater rate than Relationship B, is A. y = 16.4x as it is the only rate per hour greater than that of Relationship B's $15.20 per hour.

The student's question concerns comparing rates of pay in two different linear relationships. Given the table for Relationship B, we can calculate the rate per hour for Relationship B and then compare this to the rates provided in the equations for Relationship A. By looking at the data provided for Relationship B, we can see that the rate is constant. For example, for 2 hours worked, the amount paid is $30.40, which results in a rate of $30.40 / 2 hours = $15.20 per hour.

Because Relationship A has a greater rate than Relationship B, we are looking for an equation where the rate (slope) is greater than $15.20 per hour. Therefore, we eliminate any option where the rate is less than or equal to $15.20. Looking at the provided options:

A. y = 16.4x

B. y = 14.9x

C. y = 15.4x

D. y = 15.2x

Since options B ($14.9 per hour), C ($15.4 per hour), and D ($15.2 per hour) have rates that are either less than or equal to the rate of Relationship B, they cannot represent Relationship A which has a greater rate. Therefore, the only possible option is A. y = 16.4x, which represents a rate that is greater than the rate we determined for Relationship B.

Final answer:

David has $34 in his savings account. This was found by setting up an equation where the amount Jumps has is $21 more than David's amount and then solving for David's savings.

Explanation:

The task is to find out the amount of money David has in his savings account. Let's denote the amount David has as D. According to the information provided, Jumps has $21 more than David, and she has a total of $55 in her savings account. We can set up an equation to model this situation:

D + $21 = $55

To solve for D, we need to subtract $21 from both sides of the equation:

D + $21 - $21 = $55 - $21

D = $34

Therefore, David has $34 in his savings account.

David has $34 in his savings account, which we found by setting up and solving the equation 55 = X + 21, where X represents David's savings.

To find the amount David has in his savings account, we need to set up an equation based on the information provided:

Jumps has $55 in her savings account, which is $21 more than David has. Let's define the amount David has as X. According to the problem, we can write the equation as:

55 = X + 21

To solve for X, we subtract 21 from both sides of the equation:

55 - 21 = X

Which simplifies to:

34 = X

Therefore, David has $34 in his savings account.

Answer:

0.7

Step-by-step explanation:

Carl earns $45 per hour. We cannot determine who earns more per hour without the earnings of Louis given. To represent Carl's earnings over time in hours, a graph can be drawn using the data points provided in the table.

To find the amount of money Carl earns per hour, we need to divide the money earned by the number of hours worked. So, for each data point in the table:

From these calculations, we can see that Carl earns $45 per hour.

To determine who earns more per hour, we need to compare the amount of money Carl and Louis earn. Since we do not have Louis' earnings given, we cannot determine who earns more per hour.

Finally, to draw a graph that represents Carl's earnings over time in hours, we can plot the data points from the table on a graph with the x-axis representing time in hours and the y-axis representing money earned. Each data point will be represented by a coordinate (x, y), where x is the time in hours and y is the money earned. Connecting the data points will give us a graph that represents Carl's earnings over time.

Answer:

17

Step-by-step explanation:

Given,

24 - 3 x = -27.

24+27 = 3[tex]x[/tex]

3[tex]x[/tex] = 51

[tex]x[/tex] = [tex]\frac{51}{3}[/tex]

[tex]x[/tex] = 17

Answer:

The required equation is: [tex]217\times 12=2,604[/tex]

The red car can travel 2,604 Km in 12 hours.

Step-by-step explanation:

Consider the provided information.

It is given that the speed of red car is 217 km\hr

We need to write an equation and find how many kilometers could red car travel in 12 hours.

The required equation is: [tex]217\times 12=2,604[/tex]

Hence, the red car can travel 2,604 Km in 12 hours.

complementary angles

Answer:

11

Step-by-step explanation:

12+(7+m)=30

12+7=19

30-19=11

m=11

Answer:

B) 23,.8 feet

Step-by-step explanation:

It forms a right triangle.

We use the trigonometric ratio of cos to find the answer.

cos = adjacent /Hypotenuse

Here hypotenuse is the length of the ladder and adjacent side represent the ladder toughs the wall from the ground.

cos 18 = adjacent / 25

adjacent = 25*cos18

adjacent = 23.8 feet

Answer: B) 23,.8 feet

Hope this will helpful.

Thank you.

Answer:

B) 23.8 ft

Step-by-step explanation:

The final result is 803.

To evaluate the given expression 53 − (−648) + 102, we need to follow the rules of arithmetic operations, particularly the order of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we look inside the parentheses. Since we have a negative sign before the parentheses, we understand that we are subtracting a negative value which is the same as adding its positive equivalent. So our expression will become 53 + 648 + 102.

Next, we perform the addition operation: 53 + 648 = 701 Adding 102 to 701: 701 + 102 = 803

The final result of evaluating the expression is 803.

Answer:

y=-15x+40

Step-by-step explanation:

30 in 2 hours

-15 per 1 hour=15-40

takes away 15 each hour until he covers 40 miles