A table is 6 feet long and 3 feet wide. You extend the table by inserting two identical table leaves. The longest side of each recatngle leaf is 3 feet the extendable table is rectangular with an area of (18 + 6x) square feet. a. Make a diagram of the table and leaves. b. Write an expression that represents the length of the extendable table. What does x represent
The area of a rectangle is the product of the width and the length
The required values are;
a. Please find attached the diagram of the table attached
b. 6 + 2·x
c. x represents the width of the leaves
Reason:
Known parameter
Length of the table = 6 feet
Width of the table = 3 feet
Number of leaves = 2
Length of the sides of the leaves = 3 feet
a. Please find attached the diagram of the table, with leaves drawn with MS Visio
Total length = (6 + 2·x) feet
Width = 3 feet
Area, A = (6 + 2·x) ft. × 3 ft. = (18 + 6·x) ft.²
b. The expression that represents the length of the table is 6 + 2·x
c. The variable, x, represents the width of the leaves
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randy bought 6 candy bars for $8.28 what is the cost per candy bar?
Help me on the first question pls
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?
Answer: pretty sure it´s B
The youth center has another mural painted inside the building. If the original painting is 3 feet by 2 feet, and the mural is 15 feet by 10 feet, what is the scale comparing the painting to the mural?
a) 3ft:10ft
b) 1ft:5ft
c) 1ft:3ft
d) 2ft:15ft
AND also this one here.
Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.
Answer:
1A
2D
3D
4A&D
5D
6C
7A
8C
9C
10A
Hannah got a perfect score on 3 more spelling quizzes this quarter than last quarter . If she doubles the number of perfect quizzes she had this quarter , she will tie the school record. The record is 3 times the number of spelling quizzes hannah scores perfectly on last quarter.
Find the value of x. Round to the nearest tenth degree. Please help!!!
Bobbys collection of sports cards has 3/10 baseball cards and 39/100 football cards the rest are soccer cards what fraction of bobbys sports cards are baseball or football cards
How long would it take to travel 924 miles at the rate of 42 miles per hour? A12 h B22 h C24 h D42 h asap plz
A number increases from 30 to 45 and then decreases from 45 to 36. What is the difference between the percent of increase and the percent of decrease?
Answer:
30%
Step-by-step explanation:
The increase was 15/30 = 50%,
The decrease was 9/45 = 20%.
50% - 20% = 30%
a gym has 275 members 40% are bronze members 28% are silver members the rest are good work out the gold members
Please help with all of my work QUESTIONS:5,6,7,and 8
A tech support manager ran virus detection software on a random sample of 750 computers. The software identified that 200 of the computers had a virus.
To the nearest percent, what is a good estimate of the percentage of all computers at this company that have a virus?
Enter your answer in the box.
And please explain how did you got the answer
Answer:
27%
Step-by-step explanation:
I really think it is 27%
The base of a 15-ft ladder is 5 ft away from a wall. How high from the floor is the top of the ladder?
A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.
/Users/christinefreas/Desktop/Screen Shot 2018-03-01 at 9.08.54 AM.png
Help...T-T
Answer:
yea
Step-by-step explanation:
Answer:
We cant see anything
Step-by-step explanation:
2/3x+1/3y=2 in graph
Solve for y:
[tex]\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6[/tex]
It's the slope intercept form of a straight line.
We need only two points to draw a straight line.
[tex]for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)[/tex]
Look at the picture.
The newest cellular phone costs $784.26 after a 5.5% sales tax is applied. What is the cost of the cellular phone before sales tax? (A) $739.19 (B) $743.37 (C) $752.96 (D) $768.42 (E) $781.62
If Dawn can buy 5 pounds of apples for $12.45, how many pounds can she buy for $1.00? Express your answer as a decimal and round to the nearest tenth of a pound.
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Dawn can buy 5 pounds of apples for $12.45
We have to find how many pounds can she buy for $1.00
Now cost price for 5 pounds = $12.45
In $12.45 , Dawn can buy 5 pounds of apple
So, In $ 1 , Dawn can buy 5/12.5 pound of apple
= 0.4 pound of apple
Therefore dawn can buy 0.4 pound of apple for $1.00
Hope this helps..!!
Thank you :)
Solve the quadratic equation by completing the square x^2+6x-5=0
**PLEASE HELP ASAP** Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
Answer:
C. Yes, at negative and positive x-coordinates
Step-by-step explanation:
I got it right on the test.
Hope this helps :)
Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?
Final answer:
Elizabeth's speed in miles per hour is calculated using the formula for speed, which is distance divided by time. By setting up the proportion with the given numbers, it's determined that Elizabeth runs at a speed of 7.5 miles per hour.
Explanation:
To calculate Elizabeth's speed in miles per hour, we need to use the information that 3/4 mile is covered in 1/10 of an hour and then find out how many miles would be covered in one full hour. To do this, we set up a proportion where the distance (miles) is divided by the time(hours).
The formula for finding speed is:
Speed = Distance / Time
Using the given numbers:
Speed = (3/4) miles / (1/10) hour
By performing the division, we get:
Speed = (3/4) × (10/1) miles/hour
Speed = (30/4) miles/hour
Speed = 7.5 miles/hour
Therefore, Elizabeth runs at a speed of 7.5 miles per hour.
To what place is 220.0 accurate?
1) tens
2) tenths
3) hundreds
4) hundredths
Problem -
Gretchen is setting up for a banquet. She has 300 chairs and needs to distribute them evenly among t tables.
How many chairs should she put at each table?
Write your answer as an expression.
Answer:
The expression is 300÷t.
Step-by-step explanation:
Number of chairs Gretchen has = 300.
Number of tables Gretchen has = t.
It is given that the chairs are evenly distributed among the given number of tables that is each table will have the equal number of chairs.
The number of chairs she should put can be found by the expression 300÷t.
Gretchen should distribute 300 chairs evenly across t tables, which is represented by the expression 300 / t, where t is the number of tables.
Explanation:To solve the problem of how many chairs Gretchen should put at each table, we need to distribute the total number of chairs evenly among the tables. The expression for this will be:
Chairs per table = Total number of chairs / Number of tables
In Gretchen's case, she has a total of 300 chairs that need to be distributed evenly. Therefore, the expression is:
Chairs per table = 300 / t
Here, t represents the total number of tables. We do not know the exact number of tables, as it is not provided in the question, so we use t as a variable to represent this unknown value.
Daphne purchased a home for $296,000. She put 20% down with a mortgage rate of 6% for 30 years. What's Daphne's monthly payment?
A farmer charges for his coffee beans using the equation C=3.95p, where C is the cost of the coffee beans and p is the number of pound of coffee beans. What is the slope?
The height in feet h of a water bottle rocket launched from a rooftop is given by the equation h = -16t2 + 320t + 32, where t is the time in seconds. After the rocket is fired, how long will it take to return to the ground? Solve by completing the square. Round your answer to the nearest tenth of a second.
Final answer:
It will take approximately 20.2 seconds for the water bottle rocket to return to the ground after being launched, determined by solving the given quadratic equation by completing the square.
Explanation:
The question asks how long it will take for a water bottle rocket launched from a rooftop to return to the ground, given the equation h = -16t2 + 320t + 32, where h is height in feet and t is time in seconds. To find when the rocket hits the ground, we need to solve for t when h equals zero by completing the square.
First, rearrange the equation: 0 = -16t2 + 320t + 32.
Factor out -16 to simplify: 0 = -16(t2 - 20t - 2).
To complete the square, take half of the -20, square it and add to both sides: 100 + 2 = -16(t2 - 20t + 100).
This simplifies to 0 = -16((t - 10)2 + 98) and then (t - 10)2 = -98/(-16).
Solve for t: t = 10 + sqrt(98/16), which gives approximately t = 20.2 seconds.
Therefore, it will take approximately 20.2 seconds for the water bottle rocket to return to the ground.
Kyra exercises at a gym for 1 2/3 hours. she stretches,lifts weights, runs, and showers. kyra spends 1/4 hour stretching 1/3 hour showering.how much time does kyra spend running?
Final answer:
To determine the time Kyra spends running, the time spent on stretching and showering is subtracted from the total gym time, resulting in 65 minutes of running.
Explanation:
Kyra exercises at the gym for a total of 1 2/3 hours. To calculate the time she spends running, we need to subtract the time spent on other activities from the total exercise time. First, convert 1 2/3 hours to an improper fraction: (1 × 3) + 2 = 3 + 2 = 5/3 hours. Now, let's convert this into minutes: 5/3 hours × 60 minutes/hour = 100 minutes.
Next, calculate the total time spent stretching and showering: (1/4 hour × 60 minutes/hour) + (1/3 hour × 60 minutes/hour) = 15 minutes + 20 minutes = 35 minutes.
Finally, to find out how much time Kyra spends running, subtract the time spent on stretching and showering from the total exercise time: 100 minutes - 35 minutes = 65 minutes spent running
Kyra spends 1 hour and 5 minutes running at the gym.
Explanation:To find out how much time Kyra spends running, we need to subtract the time she spends stretching and showering from the total time she exercises at the gym.
Given that Kyra spends 1 2/3 (or 5/3) hours at the gym, and 1/4 hour stretching and 1/3 hour showering, we can calculate:
Total time Kyra spends stretching and showering = 1/4 + 1/3 = 3/12 + 4/12 = 7/12 hours
Time Kyra spends running = Total time at the gym - Total time Kyra spends stretching and showering = 5/3 - 7/12 = 20/12 - 7/12 = 13/12 hours.
Therefore, Kyra spends 13/12 hours or 1 hour and 5 minutes running.