Answer:
the median is 80.5
Step-by-step explanation:
first we put them in order
75,76,77,79,80,81,85,86,90,91
the median is the middle number...however, in cases where there are an even number of numbers, ur gonna have 2 middle numbers....so u take the average of those 2 numbers...basically, u add them and divide by 2.
So we have 2 numbers in the middle.....we add them and divide by 2 to get the median.
(80 + 81) / 2 = 161/2 = 80.5 <== the median
Answer:
80.5
Step-by-step explanation:
Ms. Ahmed has a rectangular garden where she grows tomatoes. The length of her garden is represented by t + 4 and the width by 2t - 1. Express the area of Ms. Ahmed's garden as a polynomial in standard form. If the area of Ms. Ahmed's garden is 56 ft2, what are the dimensions of the garden?
Answer:
Area of the garden in standard form:
Area = (2t^2) + 7t - 4
The dimension of the garden is 8ft × 7ft
Step-by-step explanation:
Length of the rectangular garden, L = t+4
Width of the garden, B = 2t - 1
Area = length * width
Area = (t+4) * ( 2t-1)
Area = (2t^2) + 7t - 4..….......(1)
If the Area = 56 ft^2
Substitute Area into (1)
56 = (2t^2) + 7t - 4
(2t^2) + 7t - 60 = 0
(2t^2) - 8t + 15t - 60 = 0
2t(t - 4) + 15(t - 4) = 0
(2t+15) (t-4) = 0
Let 2t + 15 =0
t = -7.5
Let t - 4 = 0
t = 4
* When t = -7.5
Length, L = -7.5 + 4 = -3.5 ft
Width, B = 2(-7.5) -1 = -16 ft
Since length and breadth cannot be negative, t = -7.5 is not possible
** When t = 4
Length, L = 4+4 = 8 ft
Width, B = 2(4) - 1 = 7 ft
Therefore, the dimension of the garden is 8ft × 7ft
Answer:
The dimension is 8ft by 7ft
Step-by-step explanation:
Given data
Length l = [tex](t+4)[/tex]
Width w= [tex](2t-1)[/tex]
the area is expressed as [tex]A= length * width[/tex]
[tex]A= (t+4)*(2t-1)\\A= t(2t-1) +4(2t-1)\\A= 2t^{2}-t+8t-4\\[/tex]
collecting like terms we have
[tex]A= 2t^{2} +7t-4[/tex]
hence our expression for area is [tex]A= 2t^{2} +7t-4[/tex]
given that the area is [tex]56ft^{2}[/tex] to solve for the sides we need to first solve fot t
equating the expression for area to 56 we can solve for t
[tex]A= 2t^{2} +7t-4= 56[/tex]
taking the constant term to the other side and solve we have
[tex]A= 2t^{2} +7t-4-56\\A= 2t^{2} +7t-60\\[/tex]
we can substitute two factors for 7t that when multiplied we give -60 and when added we give 7 these factors are 15 and -8
[tex]A= 2t^{2} +7t-60\\\\A= 2t^{2} -8t+15t-60\\2t^{2} -8t+15t-60=0\\\\2t(t-4) +15(t-4)= 0\\2t+15=0, (t-4)= 0\\2t=-15, t= -7.5\\t= 4[/tex]
t=4 hence the length is
[tex](t+4)\\(4+4)= 8ft\\[/tex]
hence the width is
[tex](2t-1)\\(2*4-1)= (8-1)= 7ft[/tex]
Which two of the following are continuous data?
A) concert attendance
B) age of a student
C) number of pens in a box
D) time taken to run 1 mile
Answer:
Age of a student (B) and Time taken you run 1 mile (D)
Step-by-step explanation:
Only the age of a student and the time taken to run 1 mile are continuous data.
What are the types of data?
The data is classified into majorly four categories:
Nominal data: Nominal Data is used to label variables without any order or quantitative value.Ordinal data: Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Discrete data: The term discrete means distinct or separate. The discrete data contain the values that fall under integers or whole numbers.Continuous data: Continuous data are in the form of fractional numbers. It can be the version of an android phone, the height of a person, the length of an object, etc. Continuous data represents information that can be divided into smaller levels. The continuous variable can take any value within a range.As per the given definitions above we can state that Continuous data is (B) the Age of the students (D) the Time taken to run 1 mile
Therefore, the Answer is (B) and (D)
Learn more about data here:
https://brainly.com/question/10980404
#SPJ1
Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z takes 25 hours. If the city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to, how far will Train Z travel in total to reach its destination?
a) 1,200 miles
b) 480 miles
c) 2,400 miles
d) 2,000 miles
e) 1,600 miles
Answer:
The equation that best models this situation is : b.
Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 2,000 miles
Step-by-step explanation:
Given:
Time taken for Train W to complete a trip = 20 hours
Time taken for Train Z to complete a trip = 25 hours
The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.
both trains have same speeds and start from same location.
To find the distance in total each train travels.
Solution:
Let length of the trip of Train W be = miles
Speed of Train W can be given as :
⇒
⇒
So, the length of the trip of Train Z will be = miles
Speed of Train Z can be given as :
⇒
⇒
Since the speeds are same, so the equation to find can be given as:
⇒
Solving for
Multiplying both sides by 100 to remove fractions.
⇒
⇒
Using distribution.
⇒
Subtracting both sides by
⇒
⇒
Thus, Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = = 2,000 miles
what is the area of a circle with a radius of 1 foot
1/4 pi ft square
1/2 pi ft square
pi ft square
2 pi ft square
I can't figure this question out can I please have help with this question
Answer:
360 or 90
Step-by-step explanation:
if u turn it 360 then u turn it all around and it is as u started with it at beginning and if 90 then u turn it half way but it still looks the same
What is the area of the rectangle?
Answer:
Root square 25² - 15² = 20
Area = 20×15 = 300 cm²
Can u add me as Brainest pls?
does anyone know the answer for top and bottom? please help
Answer:
15/18=5/6
14/18=7/9
the last symbol
Step-by-step explanation:
Answer:
For the first part (the part on the top), you have to make the fractions have the same denominator. To do this, you must find the LCM (least common multiple) of 6 and 9. The LCM of 6 and 9 would be 18 because 6x3=18 and 9x2=18. Now, both of the denominators are 18. But we still have to change the numerators! To change the numerators, we must multiply them by the same numbers that we multiplied the denominators by. So for 5/6, we would multiply the 5 (the numerator) by 3 because that is what we multiplied the 6 by. 5x3=15. So now the first fraction, 5/6, is 15/18 (that's the answer). For 7/9, we still have to multiply the 7 (the numerator) by 2. 7x2=14. So now this fraction, 7/9, is 14/18 (that's the answer).
So basically what I was saying is that 5/6=15/18 and 7/9=14/18.
For the second part (the part on the bottom), you have to compare the fractions. It is difficult right now as it is written as 5/6 and 7/9. But remember what we did for the first part! Think about these fractions as 15/18 and 14/18. 15/18 is larger than 14/18. So the answer for the part on the bottom is 5/6 > 7/9.
Hope this helps! :)
Do you think it is possible to create a triangle with sides that measure 2 inches, 2 inches, and 4 inches long?
Answer:
No
Step-by-step explanation:
2+4 > 4
2+2 is not > 4
Nathan took his car in for service and repair. He had a coupon for 15% off. $261.36 $381.25 $77.52 Which amount is closest to Nathan's total costs after the 15% discount and 7% sales tax?
Answer:
Total amount to be paid = $655
Step-by-step explanation:
Given,
Total price before coupon is = 261.36 +381.25+77.52
= $720.13
Discount = 15%
Amount of discount = 15% of total amount
Amount of discount = [tex]\frac{15}{100} \times 720.13[/tex]
= $108.02
Remaining amount = Total amount - discount amount
Remaining amount = $720.13 - $108.02
= $612.11
Sales tax = 6%
Amount of sales tax = 6% of remaining amount
[tex]=\frac{6}{100} \times 612.11\\\\=42.85[/tex]
Amount to be paid = Remaining amount + sales tax
= 612.11 + 42.85
= 654.96
Rounding off to nearest whole number;
Total amount to be paid = $655
Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?
Answer:
The value of AB is 14
Step-by-step explanation:
When we say a set of points are collinear, what we mean is that those points are on the same straight line i.e they lie on a straight line.
Now B is between A and C
Since B is between A and C
Then mathematically;
AC = AB + BC
18 = AB + 4
AB = 18-4
AB = 14
Based on the segment addition theorem, the value of AB would be: 14.
What is Segment Addition Theorem?Given that three points, A, B, and C are collinear, where b is between points A and C, the segment addition theorem states that, AB + BC = AC.
Given:
AC = 18BC = 4AB = ?Thus:
AB + 4 = 18 (segment addition theorem)\
AB = 18 - 4
AB = 14
Thus, based on the segment addition theorem, the value of AB would be: 14.
Learn more about segment addition theorem on:
https://brainly.com/question/1397818
please help due now !!
YOURM THE BEST YOU GOT THIS
Answer:
The answer is 36
Step-by-step explanation:
You have to add the areas together to get the whole answer.
a= l × w
Hope this helps
17. The length, breadth and height of a cuboid are doubled. What happens to its
surface area?
A.It is doubled.
B.It becomes four times.
C It becomes eight times.
D. (Nothing can be said with out knowing the dimensions of the cuboid.)
guys please tell the answer for this question....please.....
Answer:
D.
Step-by-step explanation:
Try any example and double
you will find that A is incorrect
B) incorrect
C incorrect
D is my answer.
Express x in term of y:x/7+2y=6
Answer:
You have to multiply the denorminator to both sides in order to make x the subject :
[tex] \frac{x}{7 + 2y} = 6[/tex]
[tex]x = 6(7 + 2y)[/tex]
Answer:
Given
x/7 + 2y = 6
Multiply through by 7 to clear the fraction
x + 14y = 42 ( subtract 14y from both sides )
x = 42 - 14y
Step-by-step explanation:
This net can be folded to form a cube with a side length of 20 units. A cube has side lengths of 20 units. What is the surface area of the cube in square units? 1,400 square units 2,400 square units 4,800 square units 8,000 square units
Answer:
2400
Step-by-step explanation:
Answer:
2,400 square units / B
Step-by-step explanation:
Please help ASAP!!!!!
Answer the question in the image.
Answer:
151.7
Step-by-step explanation:
You find volume with length times width times height. The length is 3.7. The height is 10 and the width is 4.1. When you multiply together you get 151.7.
Answer:
Step-by-step explanation: The answer is 151.7 because the formula for volume is volume= length(width)(height). You need to multiply all three values to receive the answer of 151.7 cm cubed.
Explain the significance of m and b in y = mx + b.
Answer:
the slope of the equation
An airplane took off and flew at an angle of elevation 12° with the ground. What was the approximate altitude of the airplane, (high how is the plane directly from the ground), after it had flown 8,000 meters (hypotenuse)?
Answer:
1663 m approx.
Step-by-step explanation:
We have a right triangle in which we know the hypotenuse and need to find the opposite side, so we use the sine function:
sin 12 = h / 8000
h = 8000 sin 12
= 1663 m approx.
Someone help me with this please
Answer:
60 88
Step-by-step explanation:
khn566
Answer:
60 and 88
Step-by-step explanation:
A. 30.0 in
B. 7.5
C. 10.8
D. 27.6in
Answer:
A
Step-by-step explanation:
An ice cream shop sells cones in two sizes.
A large cone has a diameter of 3 inches
and a height of 5 inches while a small
cone has a diameter of 2 inches and a
height of 5 inches. Find the difference in
volume of the cones to the nearest
tenth.
SOLUTION:
HOW DO YOU KNOW?
Y’all I need help ASAP!! All work is due at 12am and I can’t fail.
Answer: The difference is 6.5 inches.
Step-by-step explanation:
The volume of a cone uses the formula V= nr^2 h/3
So the large cone's volume is V= 3.14 * 1.5^2 *5/ 3
v= 11.775
The volume of the small cone is V= 3.14 * 1^2* 5/3
V=5.23
Now find the difference. 11.775 - 5.23= 6.54
Round to the nearest tenth is 6.5
2^8-10-15÷3
can you help me plzzzz
Answer:
241
Step-by-step explanation:
Simplify the following:
2^8 - 10 - 15/3
The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:
2^8 - 10 + -5
2^8 = (2^4)^2 = ((2^2)^2)^2:
((2^2)^2)^2 - 10 - 5
2^2 = 4:
(4^2)^2 - 10 - 5
4^2 = 16:
16^2 - 10 - 5
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
256 - 10 - 5
256 - 10 - 5 = 256 - (10 + 5):
256 - (10 + 5)
10 + 5 = 15:
256 - 15
| 2 | 5 | 6
- | | 1 | 5
| 2 | 4 | 1:
Answer: 241
Answer:
The answer is 241
Step-by-step explanation:
P: None
E: 2^8= 256
256-10-15/3
M: None
D: 15/3= 5
256-10-5
A: None
S: 256-10-5=241
Hope this helps...
Find the total volume of the figure.
Answer:
= 2617.9938779915 meters3
Step-by-step explanation:
Base Radius (r): 10m
Height (h): 25m
Volume =
1 πr2h
3
=
1 ×π×102×25
3
= 2617.9938779915 meters
Hope this helps.
Choose the graph that represents the linear equation 6x - 2y = 12. *
9
Answer: x-intercept = 2, y-intercept = -6
Step-by-step explanation:
To solve this problem, we must first convert 6x - 2y = 12 to slope-intercept form by getting y by itself.
1. 6x - 2y = 12
2. -2y = 12 - 6x
3. -2y/-2 = 12/-2 - 6x/-2
y = 3x - 6
Using our knowledge of what the slope-formula represents, we know that the -6 is the y-intercept.
To find the x-intercept, we set the formula equal to 0 instead of y and solve for x.
1. 0 = 3x - 6
2. 0 + 6 = 3x
3. 6/3 = 3x/3
x = 2
4(t+25)=4(t+50)−4(0.15t) sove for t step by step
Answer:
500/3.
Step-by-step explanation:
4(t+25)=4(t+50)−4(0.15t)
4t + 100 = 4t + 200 - 0.6t
Subtract 4t from both sides
100 = 200 - 0.6t
-0.6t + 200 = 100
-0.6t = -100
0.6t = 100
6t = 1,000
3t = 500
t = 500/3, or 166.6666667, or 166 and 2/3.
Hope this helps!
3. The temperature dropped 5 degrees each hour for 7 h. Use an integer to represent
the total change in temperature.
sallycamerfor
14 in total
sallycamerfor
sallycamerfor
sallycamerfor
sallycamerfor
sallycamerfor
sallycamerfor
thats all i came here for
Write an equation to represent the following statement.
The sum of j and 47 is 55.
Answer:
J plus 47 = 55
If you need to find J
The value of J is
J=55-47
J=8
Step-by-step explanation
Mark spent $73.43 on some CDs. He purchased 7 CDs. What was the price of each CD?
Answer:
$10.49
Step-by-step explanation:
if the problem doesn't account for tax, 73.43 divided by 7 is 10.49
Find the quotient: 8,441 ÷ 21 = ________. a. 400 r 12 b. 400 r 20 c. 401 r 12 d. 400 r 20
I Believe that the correct answer is option C) 401 r
8,441 ÷ 21 = 401.952380952
HOPE THIS HELPED!!!
If not please comment below
For which of the following graphs would it make sense to connect
the points?
a. a graph showing the amount of Karl's monthly rent
b. a graph showing the number of signatures on a petition
c. a graph of the temperature at each hour during the day
d. a graph showing the number of raffle tickets sold
I think that the correct answer to the question is A
What is the domain of the function f(x)=x^2+3x+5?
OA
all whole numbers
OB.
all positive real numbers
O c. all integers
OD. all real numbers
Answer:
all real numbers
Step-by-step explanation:
Answer:
The domain of this function is all real numbers
Step-by-step explanation:
Unless there is a domain restriction for the function, the domain of a function is all real numbers. This means that all we need to do is determine whether there is a domain restriction.
The things that cause a domain restriction are: an x in the denominator of a fraction like [tex]f(x)=\frac{1}{x}[/tex] or a radical like [tex]f(x)=\sqrt{1-x}[/tex]
As there are no variables in the denominator or a radical, we can conclude that the domain of this function is all real numbers.