Answer:
$44.81
Step-by-step explanation:
43.50 * 0.03 = 1.305
$43.50 + 1.305 = 44.805 = $44.81
complete question:
Jordan signed up for the Annual Cross Florida bike ride which is a 170 mile bike ride. After weeks of training he, rides at an average of 15 miles per hour. Write an equation that can be used to show Jordan's progress in miles (y) after a number of hours (x).
Answer:
y = 15x
Step-by-step explanation:
Jordan signed up for the annual cross Florida bike ride which is a 170 mile bike ride. He can rides at 15 miles per hours after series of training . The equation to express his progress in miles (y) after a number of hours (x) can be express below.
The question asked how much progress in miles after a number of hour. This is simply expressing an equation that show how much distance in miles he will cover after certain number of hour(s). The equation will be
y = 15x
15 times any hours he spent will give you Jordan progress in miles since his average is 15 miles per hour.
where
y = Jordan progress in miles
x = number of hours
Example his progress in miles after 2 hours will be as follow.
y = 15x
x = 2 hours
y = 15 × 2
y = 30 miles.
In this case his progress in miles after 2 hours according to the equation will be 30 miles .If he uses 3 hours his progress in miles will be 45 miles and so on .
Answer: {-1/7, 3}
Step-by-step explanation: Since this polynomial equation is already set equal to 0, we can go ahead and factor right away.
Note: There are different methods teachers chose to factor with and I recommend using the guess and check method, the most straightforward one I know of and very easy for students to understand.
When factoring, we know we will end up with two sets of binomials.
So we can write them as ( )( ).
We know 7x² factors as 7x · x so we can put a 7x
in our first binomial and an x² in our second binomial.
So we have (7x )(x ).
However, what goes in our second?
Well the factors of -3 will go in our second
but -3 factors in different ways.
-3 factors as -3 · +1, or +1 · -3 and since our binomials
are not identical, we have to also consider reversing the order
That is +3 · -1 or -3 · +1.
If you foil the outer and inner terms for each pair, you should
find the pair that works will be +1 and -3.
So we can write this as (7x + 1)(x - 3) = 0.
Now we use the zero product property:
So either 7x + 1 = 0 or x - 3 = 0.
From here, you should be able to easily solve to get {-1/7, 3}.
The square can be constructed by making perpendicular on vertex A and B. Then cut an arcs and obtain the points C and D and construct perpendicular on point C and D and get ABCD is required square.
Further Explanation:
Square is a 4 sided close figure.
Square has all sides equal and all angles are of .
The all sides of the square are perpendicular to each other.
Given:
A line segment AB.
Construction:
Steps involve in constructing a square from a line segment AB are as follows.
1. Draw a line segment AB.
2. Construct perpendicular AX at point A and then construct another perpendicular BY at point B.
3. Cut an arc on perpendicular line from A at point C that is equal to the length equal to side AB
4. Cut an arc on perpendicular line from B at point D that is equal to the length equal to side AB
5. Construct perpendicular at point C and then construct another perpendicular at point D.
6. The perpendicular intersects each other at point C and D.
The required square is ABCD is shown in figure attached.
Kindly refer to the image attached.
Learn more:
1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Construction
Keywords: square, perpendicular, , intersect, construct, line, line segment, point, right angle, sides, close figure, arc, length.
1. Extend the segment AB twice left and twice right. Let the point that lies left be D and the point that lies right be C. Then AD=AB=BC.
2. Draw the circles with center at points D and B and congruent radii that are greater than AB. Denote two points of their intersection as E and F.
3. Combine points E and F. The segment EF is perpendicular to the segment AB and passes through the point A.
4. Draw the circles with center at points C and A and congruent radii that are greater than AB. Denote two points of their intersection as K and L.
5. Combine points K and L. The segment KL is perpendicular to the segment AB and passes through the point B.
6. Postpone on the segment EF point X such that AX=AB and on the segment KL point Y, such that BY=AB and X and Y lie for the same side.
7. Combine points X and Y. ABYX is required square.
The movie will end at 8:48 PM.
The movie starts at 7:00 and runs for 108 minutes. To find the end time, we add the duration of the movie to the starting time. Since 108 minutes is equal to 1 hour and 48 minutes, the movie will end at 8:48 PM.
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