The required expression is given as 50t + 10c = 1000.
Given that,
A truck delivers tables and chairs for a fair. The truck can carry 1000 pounds in total.
-Tables weigh 50 pounds each
-Chairs weigh 10 pounds each
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Let the number of tables, t, and the number of chairs, c, that the truck can carry,
Now,
Total weight of T table = 50t
Total weight of c table = 10c
Total weight truck Carry = 1000
50t + 10c = 1000
Thus, the required expression is given as 50t + 10c = 1000.
Learn more about equations here:
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A dendrologist measures the height (in feet) of a Mature Red Maple, Big Leaf Maple, Jack Pine, Eastern White Pine, Loblolly Pine, Slash Pine, Longleaf Pine, Black spruce, and Balsam Fir. The recorded heights are given below.
73, 68, 73, 85, 92, 81, 88, 35, 48
Mean
Median
Mode
73, 68, 73, 85, 92, 81, 88, 35, 48
Mean ↯[tex] \boxed{ \tt \: mean = \frac{sum \: of \: observations}{total \: number \: of \: observations} }[/tex]
Total number of observations = 9[tex] \sf \rightarrowtail \: mean = \frac{73 + 68 + 73 + 85 + 92 + 81 + 88 + 35 + 48}{9} [/tex]
To make the calculation easier, first add the numbers that sum to multiples of 10
[tex] \sf \rightarrowtail \: mean = \frac{643}{9} = 71.4[/tex]
[tex]\red{⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰}[/tex]
Median ↯35, 48, 68, 73, 73, 81, 85, 88, 92
[tex] \boxed{ \tt \: median = ( \frac{n + 1}{2} ) ^{th} \: term }[/tex]
n is the number of observations I.e. 9 in our case[tex] \sf \multimap \: median = (\frac{9 + 1}{2} )^{th} \: term[/tex]
[tex] \sf \multimap \: median = (\frac{10}{2} )^{th} \: term[/tex]
[tex] \sf \multimap \: median = 5^{th} \: term[/tex]
[tex] \sf \multimap \: median = 73[/tex]
[tex]\red{⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰}[/tex]
Mode ↯35, 48, 68, 73, 73, 81, 85, 88, 92
The most occurred number is 73 it has occurred 2 times. Hence, it is the mode!Step-1: Add the data set.
[tex]\bullet \ \ 73 + 68 + 73 + 85 + 92 + 81 + 88 + 35 + 48[/tex]
[tex]\bullet \ \ 643[/tex]
Step-2: Divide the "added" data set by the total digits in the data set.
There are nine digits in the data set.
[tex]\bullet \ \ \frac{643}9}[/tex]
[tex]\bullet \ \ 71.44[/tex]
Thus, the mean of the data set is 71.44.
Solution (Finding the median of the data):Step-1: Arrange the data set in descending form.
Greatest => Smallest
[tex]\bullet \ \ 73, 68, 73, 85, 92, 81, 88, 35, 48[/tex]
[tex]\bullet \ \ 92, 88, 85, 81, 73, 73, 68, 48, 35[/tex]
Step-2: Count the number of digits in the data.
[tex]\bullet \ \ \tex\text{9 digits in total}[/tex]
Step-3: Revise the following.
[tex]\bullet \ \ \tex\text{If there are even number of digits:} \ \frac{\tex\text{(Number of digits)}}{2}[/tex]
[tex]\bullet \ \ \tex\text{If there are odd number of digits:} \ \frac{\tex\text{(Number of digits)} + 1}{2}[/tex]
Step-4: Odd or Even?
[tex]\bullet \ \ \tex\text{Even numbers:} \ 2, 4, 6, 8, 10...[/tex]
[tex]\bullet \ \ \tex\text{Odd numbers:} \ \ 1, 3, 5, 7, \bold{9}, 11...[/tex]
There is an odd number of digits.
Step-5: Use the formula.
[tex]\bullet \ \ \frac{\tex\text{(Number of digits)} + 1}{2}[/tex]
[tex]\bullet \ \ \frac{\tex\text{9} + 1}{2}[/tex]
[tex]\bullet \ \ \frac{\tex\text{10}}{2}[/tex]
[tex]\bullet \ \ 5[/tex]
The fifth digit in the data is the median.
Step-6: Revise the data set.
[tex]\bullet \ \ 92, 88, 85, 81, \bold{73}, 73, 68, 48, 35[/tex]
The median is 73.
Solution (Finding the mode of the data set:The most repeating number is the mode. Let's put the data set in a frequency table.
Step-1: Putting the data set in a frequency table:
~Table attached
Looking at the table, we can tell that 73 has repeated two times and has repeated the most.
The mode is 73.
I need some help, how would you find the volume of a cylinder if one part of the cylinder has a full line, not half of it? (for both the questions) I WILL GIVE BRAINLIEST!!!
Answer:
divide the full line (diameter) by 2 to get the half-line (radius)
Step-by-step explanation:
GIVING BRAINLIEST TO FIRST -CORRCT- ANSWER!!
Find the value of x.
Answer:
x = 21
Step-by-step explanation:
64 = 3x+1
63 = 3x
21 = x
Hope this helps :)
Answer:
X is equal to 21
Step-by-step explanation:
3 times 21 is 63 and when you add one to that your answer is 64 making 21 your answer
Have a wonderful day/night/ afternoon
Marcus borrowed $9,000 from his bank to buy a car, the bank charged him a simple interest rate of 1.25% by the time he payed back the money he had payed a total of $9,281.25 how long did it take for Marcus to pay back the money
SHOW ME HOW TO DO IT
Answer:2.5
$9281.25-$9000=$281.25
i=P*R*T
$281.25=$9000*1.25%*T
$281.25=$112.5T
$281.25/$112.5=$112.5T/$112.5
2.5=T
Step-by-step explanation:
Does anyone know the answer to this like I don't understand how to do this?
Answer:
The m∠5 (measure of angle 5) is 135°.
Step-by-step explanation:
The m∠1 is equal to 135°. Since ∠1 and ∠5 are alternate exterior angles, they will be congruent.
Jada researched the average rainfall in April for several different locations. This list shows her findings.
1 3/4, 2, 1 3/4, 2, 2 1/2, 2 1/2, 3, 2 1/4, 3, 2 1/4, 3 1/4, 2 1/2
Create a line plot to display the data.
Answer: 1 3/4 has 2 Xs/ 2 has 2 Xs/ 2 1/4 has 2 Xs/ 2 1/2 has 3 Xs/ 2 3/4 has 0 Xs/ 3 has 2 Xs/ 3 1/4 has 1 X
Step-by-step explanation: I'm very smart
Hope this helps : D
Find the slope (1, -6), (-1,6)
[20 POINTS!] ℘Ɩʑ ąŋʂῳɛཞ ɬɧıʂ ąʂ ʂơơŋ ąʂ ყơų ƈąŋ Henry hit 3 more than half as many home runs as Jack hit last season. Henry hit a total of 8 home runs.a. Write an equation you could use to find the number of home runs x that Jack hit last season.b. Solve your equation to find the number of home runs x that Jack hit last season.Question content area bottomPart 1a. Choose the correct equation below.A.2x−3=8B.12x−3=8C.12x+3=8D.2x+3=8Part 2b. Jack hit _enter your response here_ home run(s) last season
he hit 10 pls mark branliest i need also good luck
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSS
Answer:
Adding Integers:
1. -8
2. 21
3. 27
4. -29
5. -18
6. 19
Adding Decimals
7. 7.2
8. 0.5
9. -3.8
1/7 of 35
if yall say this isnt school related one more time i swear-
Answer:
5
Step-by-step explanation:
(1 /7) * 35 = 5
Hopes this helps :D
Bye.
HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Perimeter = first you need to add 2 and 2 to get the bottom, then you add 2 and 1 to get the side to the left. after that, it's fairly easy. you just add all. The answer should be 14in.
Area of figure = It would be easier to split it then add them. You would need to time 2 by 2 which you should get 4. Then, you would need the length for the bottom, so first, you will need to add 2 and 2 which you get 4 then times that by 1 which should be 2. Add them together and the answer should be 6in.
Figure 2Perimeter = first you need to find the triangle. It said the circle is 3cm. so that means you just got to add 4, 5, and 3 together to get the perimeter of the triangle. Then, for the half-circle, 2[tex]\pi[/tex]3. This should give you 18.85. Then add them together to get 30.85cm.
Area of figure = It would be easier to split it then add them. You would need to figure out what the formula for a triangle is which is [tex]H_{b} B[/tex]/2. This should give you 6. Then you got to figure out the area of the circle, which is [tex]\pi 3^{2}[/tex] which should give you 28.27. then you add them together, which gives you 34.27cm.
I hope this helped you out.
The graph below shows the price, y, in dollars, of different amounts of granola, x, in pounds:
A graph titled Granola Prices shows the Number of Pounds on the x-axis and Price in dollars on the y-axis. The scale on the x-axis shows numbers from 0 to 12 at increments of 2, and the scale on the y axis shows numbers from 0 to 48 at increments of 8. A straight line joins the ordered pairs 0, 0, and 12, 48
Which equation best represents the relationship between x and y?
y = 8x
y = x + 4
y = 4x
y = x + 8
Please I need help!
I am in middle school.
Image of parabola with a maximum value at (1, 9), y-intercept at (0, 8) and x-intercepts at (2, 0) and (4, 0).
The graph above can be used to model a coin being tossed from a height of 8 feet in as a function of time in seconds. How long was the coin in the air?
Group of answer choices
4 seconds
1 second
9 seconds
6 seconds
Answer:
(a) 4 seconds
Step-by-step explanation:
The given point (4, 0) on the parabola tells you the answer to the question: the coin was in the air 4 seconds before its height is 0. It is no longer in the air at that point.
__
Additional comment
In order to match the rest of the problem statement, the first given x-intercept must be (-2, 0).
each shape below has an area of 60 square inches. find the vaule of x.
Answer:
8
Step-by-step explanation:
a. giving brainliest to first -correct- answer. please answer fast!!
Answer:
Taiwan is the correct answer
Step-by-step explanation:
Jerome is cooking dinner. He needs 8 ounces of broccoli for each person.
Part A: Jerome is not sure how many people will come to dinner. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner. Identify what the variable represents.
Part B: If Jerome has 32 ounces of broccoli, how many people can he feed? Create an equation and show all work to solve it.
Answer:
Part A: 8Bp (8 b(broccoli) times p(people)
If Jerome has 32 ounces of broccoli then he can feed 4 people
32 pieces of broccoli divided by the 8 piece of brocoli per person will tell you that he will have 4 pieces of broccoli
Answer:
Part A
lets just say 5 people come for dinner so 5x8 = 40 so he will need 40 ounces of broccoli
Part B so 8 ounces per person and he has 32 ounces so he will have feed 4 people
A store manager can spend at most $1,000 a day for operating costs and payroll. It costs $100 each day to operate the store and $30 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most:
30x + 100 ≤ 1000
Answer:
x = 30 employees.
Step-by-step explanation:
30x + 100 = 1000
- 100 - 100
30x = 900
900/30 = 30
PLEASE HELP ASAP I need the correct answer and a brief explanation
GIVING 100 POINTS AND BRAINLIEST PLEASE HELP
The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents c as a function of a.
A -3 0 2 5 10 12
C -20 7 3 21 19 45
1. When a is -3, is b or c greater?
2. When c is 21, what is the value of a? What is the value of b that goes with this value of a?
3. When a is 6, is b or c greater?
4. For what values of a do we know that c is greater than b?
Answer:
1:B is greater
2: 5
3: C is greater
4: 12 and up
please help the question is below :)))
Answer:
-1-(-6) = 5
8-(-5) = 13
Step-by-step explanation:
So for the first one -1-(-6), when you have two negatives next to each other then it turns into a plus. So when it turns into a plus we will have -1+6 now although there is a plus sign we are not gonna add because our two numbers have different signs so we are gonna subtract and take the sign of our bigger number and here our bigger number is 6 so our answer will be positive and 6-1=5. So the answer is 5.
Now for the second one 8-(-5), the same thing when you have two negatives next to each other then it turns into a plus. So, when it turns into a plus we will have 8+5. And here they both have the same signs so we are gonna add and 8+5=13. So the answer is 13.
**When I say signs I mean it is either positive or negative, also a positive number if it is at the beginning of the equation then it most likely will not have the plus sign before it.**
I HOPE THIS HELPED!! HAVE A GREAT DAY!!
A club charges a rental of $400 per day for the dining hall and a fixed amount per guest for a meal. The graph shows the total cost for each person.
-
A club charges a rental of $400 per day for the dining hall and a fixed amount per guest for a meal. The graph shows the total cost for each person.
if 10 guests come then that means there is 800...
volume with fractions 3 28 points
Answer:
9 1/3 or 28/3 cm³
Step-by-step explanation:
Volume of rectangular prism is [tex]Bh[/tex], where B = Area of the Base and h = height.
Area of the Base:
[tex]2*\frac{7}{3}[/tex] [tex]\frac{14}{3}[/tex]Area of Base x Height:
[tex]\frac{14}{3} *2[/tex] [tex]28/3[/tex] or [tex]9 \frac{1}{3}[/tex]Therefore, the answer is 28/3 or 9 1/3 cm³.
Find the perimeter of the following figure.
Answer:
72
Step-by-step explanation:
8 + 10 x 2 = 36
15 + 3 x 2 = 36
36 + 36 = 72
Answer:
72 cm
Step-by-step explanation:
(8 + 10) x 2 + (15 + 3) x 2
= 2(18 + 18)
= 2(36)
= 72
What was the simple interest rate on a $8,000 investment that was left in an account for 18 months and earned $360 in interest
SHOW ME HOW U DID IT PLEASE
Answer:
0.375%
Step-by-step explanation:
i=P*R*T
$360=$8000*R/100*18/12
$360=$960R
$360/$960=$960/960
0.375%=R
What is the GCF of 6 and 14?
1
2
3
4
[MA]:
2
Writer's note: bye.
[xArtsy]
please help all give brainly
Answer:
i think its 3 and 7/27
Step-by-step explanation:
it might not be correct, but i think it is
Find the area of the figure. Use 3.14 for π.
The area of the figure is about __m2.
Answer:
The answer is 211.96
Step-by-step explanation:
First I did the semicircle, the radius is 7 so 7 x 2 = 14 and then I did
14 x 3.14 = 43.96
Then I did 12 x 14 = 168
Finally 168 + 43.96 = 211.96
Hope this helps
Can somebody please help me with questions 9 and 10, please
Which graph type is best suited for comparing the sales of two different types of toys sold at a toy store?
A. stem-and-leaf plot
B. bar graph
C. box-and-whisker plot
D. pie chart
Answer:
B. a bar graph
Step-by-step explanation:
A bar graph is a graph that shows complete data.It can be used to show the tallest value in a data set.Therefore, a bar graph would be best suited for comparing the sales.
Hope this helps!
what is the percent of increace if you go from 44$ to 55$
Answer:
125%
Step-by-step explanation:
to find the percentage you divide 55 by 44 which is 1.25, you multiply 1.25 by 100 to get the percentage.