You are flying from Houston to Chicago. You leave Houston at 7:30 A.M. At 8:35 A.M. you fly over Little Rock, a distance of 455 miles.

27. Write a linear equation that gives the distance in miles, y, in terms of time, x. Let x represent the pumber of minutes since 7:30 A.M.

28. Approximately what time will you arrive in Chicago if it is 950 miles from Houston?

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Answer:

For a uniform move, the traveled distance equation is

y = v*x

where "v" is the average speed (or rate), in miles per minute, x is the time, in minutes.

To find "v" from the given data, divide 455 miles by 65 minutes (the flight time between the cities)

v = 455%2F65 = 7 miles per minute.

So, finally, your equation is

y = 7x.

Now consider the family of lines ax + by = c such that a, b and c are consecutive multiples of each other. what would that mean? give some examples of such lines in this family (coordinates.) what do you notice or wonder?

A rectangle has a perimeter of 20 units, an area of 24 square units, and sides that are either horizontal or vertical. Do the following ordered pairs form the rectangle described above?
{(2,4), (6,4), (2,10), (10,4)}

If the value of the expression 36 ÷ u is 9, what is the value of u?

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Steve put $500 into a saving account.At the end of one year, he had earned $30 in interest.What interest rate was the bank paying?

What is the approximate area of the congruent orange right triangles?


A. 17 in²
B. 31 in²
C. 33 in²
D. 51 in²

Two functions are shown in the table below.
TABLE IS ON ATTACHED FILE/PICTURE
Which statement is true about the two functions when x = –6?
A.
The value of f(x) exceeds the value of g(x) by 56.

B.
The value of g(x) exceeds the value of f(x) by 56.

C.
The value of f(x) exceeds the value of g(x) by 72.

D.
The value of g(x) exceeds the value of f(x) by 72.

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According to the map, which part of the Iberian Peninsula was under Christian control in the 8th century?
A) A small area in the northern part of the peninsula.
B) The entire peninsula from the Pyrenees to Cadiz.
C) Granada, Seville, Cadiz, Castile, and Aragon.
D) The part that became the country of Portugal.

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PLS HELP
Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work.
4 - x^2 = -16

If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?
A. 40 cubic in
B. 168 cubic in
C. 84 cubic in
D. 144 cubic in

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What is the value of y in the equation 3x – 2y = 4 when x = 2?

Can some help me with this? It’s volume and I have to show work.

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Quickly help me! This isn't live or anything, I just don't want to wait an hour. Question: 1/8 + 1/2 = ? (Fractions!)

Mrs. Ruiz bought 6 gallons of gas for $18.18, 9 gallons of gas for $27.27, and 16 gallons for $48.48. Is the rate of change constant?

Describe the translation that maps
A'B'C'D' back to ABCD.
B В
2
D
А
0
B
D'
4!!
A. down 5, right 6
B. up 5, left 6
C. down 5, left 6
D. up 5, right 6

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Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an equation or proportion modeling the scenario. Do not solve the problems.


A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.)

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A circle with radius labeled 23 yards

Find the area for the circle (use 3.14 for pi). Show your work. Round to the nearest tenth.

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Find the area of the shaded region. Use 3.14 for π. Round to the nearest tenth if necessary. Whats the label?

The system of equations y=-1/5x-6 and y=-2x+3 is shown in the graph below. According to the graph, what is the solution to this system of equations? (5,-7) (-7,5) (5,7) (7,5)​