Answer:
450 in^2
Step-by-step explanation:
Width = 15 Length is twice as much = 30 in
Area = L * W = 15 * 30 = 450 in^2
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third of the length of line D F.
Which inequality explains why these three segments cannot be used to construct a triangle?
EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE
Answer:
ED + EF < DF
Step-by-step explanation:
shorter side lengths added together > larger side length
however, smaller side lengths are < larger
So ED + ED < DF means that this cannot be a triangle
Answer:
ED + EF < DF
(second option listed)
Step-by-step explanation:
for a triangle, the sum of the two shorter side lengths must be greater than the larger side length
so we know that the two smaller lengths (DE and FE) would have to add up to be greater than the larger side length (DF)
because this is not the case, we know that we cannot construct a triangle
[to construct a triangle:]
smaller + smaller > bigger
DE + FE > DF; which is false/not the case
so because DE + FE < DF, we cannot form a triangle
so, ED + EF < DF explains why these three segments cannot construct a triangle
Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.
Answer:
14.3 km (1 d.p.)
Step-by-step explanation:
To find the mean, divide the sum of all data values by the total number of data values.
If Mark ran a mean distance of 13.2 km in five days, we can use the mean distance for each of the 5 days in our calculation.
[tex]\begin{aligned}\implies \sf mean\:distance & = \sf \dfrac{13.2+13.2+13.2+13.2+13.2+20}{6}\\ & \sf =\dfrac{86}{6}\\\\ & = \sf 14.3\:km\:\:(1\:d.p.)\end{aligned}[/tex]
is 1 − 3x2 = -y linear
No. Because the x is raised to the 2nd power the equation is not linear.
The mapping diagram shows a functional relationship.
Domain
Range
3
9
0
3
-1
9
Complete the statement.
f(3) is
If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes, what is the eye color of the train driver??? :) lol
If I am driving the train , the colour of the eye will be my eye colour.
What are Logical Questions ?The questions that do not need critical reasoning while only need logical thinking to find the answer.
It is given that the "If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes"
If I am driving the train , the colour of the eye will be my eye colour.
To know more about Logical Questions
https://brainly.com/question/12087756
#SPJ1
the graph below shows the hourly wage of tina when she was working summer from high school through collage
The years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
Calculating rate of payFrom the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year
Considering the graph
From year 2001 to 2002Her raise was $6.50 - $5.50 = $1.00
From year 2002 to 2003Her raise was $7.00 - $6.50 = $0.50
From year 2003 to 2004Her raise was $7.75 - $7.00 = $0.75
From year 2004 to 2005Her raise was $8.50 - $7.75 = $0.75
From year 2005 to 2006Her raise was $10.50 - $8.50 = $2.00
From year 2006 to 2007Her raise was $11.50 - $10.50 = $1.00
Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
Lear more on Calculating rate of pay here: https://brainly.com/question/21290862
#SPJ1
Please someone do this for me
Answer:
A = -12
B = -8
C = -4
Step-by-step explanation:
[tex]y=2x-8[/tex]
x = -2
[tex]y=2(-2)-8=-4-8=-12[/tex]
A = -12
x = 0
[tex]y = 2 (0)-8=-8[/tex]
B = -8
x = 2
[tex]y = 2 (2) -8 = 4-8 = -4[/tex]
C = -4
Hope this helps
23 4 Which expression is equivalent to (- 2 1/4)/(- 2/3) ?
The equivalent expression is: .[tex]3\frac{3}{8}[/tex]
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division)
Given:
(- 2 1/4)/(- 2/3)
=-9/4÷ (-2/3)
= -9/4 * (-3/2)
= 27/8
= [tex]3\frac{3}{8}[/tex]
Hence, the equivalent fraction is [tex]3\frac{3}{8}[/tex].
Learn more about this concept here:
https://brainly.com/question/9033844
#SPJ1
Blue Jays tickets cost too much! The good folks in charge of Toronto Baseball
have found that for every 50-cent decrease in the average ticket price, 300 extra
tickets will be sold. Right now, the average price of a ticket is $80, and they sell an
average of 30,000 tickets per game. The capacity of the Rogers Centre is 49,282.
Determine the optimal ticket price that maximizes revenue, the new number of
tickets sold, and the amount of extra revenue the Blue Jays will take in per game
when compared to the current revenue.
The optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.
What is the objective function?
The objective function is simply an equation that represents the goal production capability that relates to maximizing profits from manufacturing.
Current revenue;
⇒ 80 × 3000 = 240000
From the given condition the price decrease by 0.5 times. So that the ticket sold will be 300 times the cost. The inequality relationship is found as;
30000+300x 49282
x≤64
The revenue value is found as;
y = ( 80 - 0.5 x )(30000+300 x)
y=-150 x²+9000 x+2400000
The value of x is found as;
[tex]\rm x= \frac{9000}{150 \times 2 }\\\\ x=30[/tex]
Hence, the optimal ticket price is $ 65.The amount of tickets sold is 39000 and the amount of the extra revenue will be $ 135000.
To learn more about the objective function, refer to the link;
https://brainly.com/question/15830007
#SPJ1
Someone please help!!
Answer:
I believe the answer would be option D
Step-by-step explanation:
the distance formula is
[tex] \sqrt{(x - x1)^{2} + (y - y1)^{2} } [/tex]
So, substituting the values of the coordinates, you will get the answer of D
The length of a conference room is one and a half times its width. There is a carpet in the
centre of the room. The length of the carpet is twice its width. This leaves a 3m wide
border around the edges of the carpet. Find the area of the carpet.
The Area of carpet for the given dimension is 72m².
What is Area of rectangle?Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
Let the width of the room w = x m
and the length, L = 1.5x
Length of carpet + 6 = length of room
2(x-6)+6=1.5x
2x-12+6=1.5x
0.5x=6
x = 6 / 0.5
x = 12
length of room x = 12 m
width of room = 18 m
18-6 by 12-6 = 12 by 6 dimensions of carpet
Area of carpet = 12 X 6=72 m²
Thus, the Area of carpet for the given dimension is 72m².
Learn more about Area of rectangle from:
https://brainly.com/question/20693059
#SPJ1
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?
(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
How to determine the image of point B?The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
Read more about rotation at:
https://brainly.com/question/7437053
#SPJ1
What expression below is equivalent to -71n -
29?
A) -29 - 71n
B) 71n + (-29)
C) 29 + 71n
D) -29 - (-71n)
Answer:
A
Step-by-step explanation:
both numbers are negative, you can rearrange them in any order provided you keep the sign
Reason:
An expression in the form -a-b is the same as -a + (-b)
Recall we can add two numbers in any order we want. For instance, 2+3 = 3+2 since both sides are equal to 5. This is the commutative property of addition.
Therefore, the -a + (-b) is the same as -b + (-a) which in turn becomes -b - a
In short: -a - b = -b - a
This rule lets us say that -71n - 29 = -29 - 71n
The average of 7, 20, and X is 20. what is the value of X?
Answer:
33
Step-by-step explanation:
do it in reverse
there are 3 numbers
average is 20
that means total is 20 times 3 which is
60
7+20+x=60
27+x=60
x=60-27=
33
Answer:
x = 33
Step-by-step explanation:
we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present
for example,
the average of 2 and 20
2 + 20 = 22
(there are two numbers, so we divide by 2)
22 / 2 = 11
so, this example has an average of 11
we can apply the same logic to a variable:
we know that
[tex]\frac{20+7+x}{3}[/tex] = 20
We can now solve for x:
[tex]\frac{20+7+x}{3}[/tex] = 20
· 3 ·3 {multiply both sides by 3}
20 + 7 + x = 60 {combine like terms}
27 + x = 60 {subtract 27 from both sides to isolate x}
x = 33
{check answer:
7 + 20 + 33 = 60
60 / 3 = 20 (divided by 3 because we have 3 numbers) }
so, the value of x is 33
(x = 33)
hope this helps!!
# How would you teach English Subject at your Bridge course class,if you were an English Teacher?
english and maths teacher
what is the square root of 10,000
Answer:
100
Step-by-step explanation:
The square root of 10000 can be written as (10000)1/2. Thus,
(10000)^/2 = (100 × 100)^1/2
(10000)^1/2 = [(100)2]^1/2
(10000)^1/2 = (100)^2/2
(10000)^1/2 = (100)^1
So,
√10000 = 100
The histogram to the right represents the weights (in pounds) of members of a certain high-school math team.
How many team members are included in the histogram?
Answer:
The basic way to calculate the number of members is finding the area under the curve. The total members are 20
Step-by-step explanation:
The given graph shows that how many team members have a particular weight.
The first rectangle shows that 5 team members have a weight of 115kg.
The second rectangle shows that 3 team members have a weight of 115kg.
The third rectangle shows that 2 team members have a weight of 115kg.
The forth rectangle shows that 0 team members have a weight of 115kg.
The fifth rectangle shows that 3 team members have a weight of 115kg.
The sixth rectangle shows that 4 team members have a weight of 115kg.
The seventh rectangle shows that 3 team members have a weight of 115kg.
So, the total team members are = 5 + 3 + 2 + 0 + 3 + 4 + 3 = 20
For more explanation, refer the following link:
https://brainly.com/question/14395937
#SPJ10
NEED HELP ASAP 1 HOUR LEFT
Using the vertex of a quadratic function, it is found that:
a) The revenue is maximized with 336 units.
b) The maximum revenue is of $56,448.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.The demand function is given by:
p(x) = 336 - 0.5x.
Hence, the revenue function is:
R(x) = xp(x)
R(x) = -0.5x² + 336x.
Which has coefficients a = -0.5, b = 336.
Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:
[tex]x_v = -\frac{336}{2(-0.5)} = 336[/tex][tex]y_v = -\frac{336^2 - 4(-0.5)(0)}{4(-0.5)} = 56448[/tex]More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
#SPJ1
The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number, the result is 7. Find the numbers. The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number , the result is 7 . Find the numbers . Or as points
what can this be classified as?
Answer: None of the above
Step-by-step explanation:
Complementary Angles add up to 90
Supplementary Angles add up to 180
Parallel Angles are Supp., Comp., or Congruent
An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?
An expression is defined as a set of numbers, variables, and mathematical operations. The male cheetah's average speed for the last month is 20 mph.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A.) Let the male cheetah's average speed for the last month be represented by x.
Given the male cheetah runs at a speed of 26 mph, that is 30% faster than his average last month.
x + 30% of x = 26 mph
1.30x = 26
x = 20 mph
Hence, the male cheetah's average speed for the last month is 20 mph.
B.) Sadie makes 1.5 liters of iced tea. She pours a liter into a pitcher to take to her neighbor. Her sister drinks the remaining iced tea. Therefore,
Iced tea Sadie's sister drink = 1.56 liters - 1 liter = 0.56 liter
Hence, the amount of tea Sadie’s sister drinks is 0.56 liters.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
If the center of the small gear is rigidly attached to the center of a bicycle wheel with a radius of 10 inches, how many inches will the bicycle travel with a single rotation of the large gear? the small gear has a radius of 2 inches.
The distance traveled is 62.8 inches.
How many inches will the bicycle travel with a single rotation of the large gear?
We know that the gear is rigidly attached to the center of the wheel. This means that in one complete rotation of the gear, we also have a complete rotation of the wheel.
Then the distance that the bicycle travel with a single rotation of the gear is equal to the circumference of the wheel, which is:
C = 2*pi*R
Where pi = 3.14 and R is the radius, which we know is 10inches.
Then:
C = 2*3.14*10in = 62.8in
The distance traveled is 62.8 inches.
If you want to learn more about circles:
https://brainly.com/question/14283575
#SPJ1
wich calculation can be used to find the value of p in the equation p^3=8
Answer:
The answer is 2
p³ = 8
p = ³√8
p = 2.
What is the degree of polynomial: 2x- root 5
Answer: 1
Step-by-step explanation:
[tex]2x-\sqrt{5}=2x^{1}-\sqrt{5}[/tex], and thus the highest exponent of x is 1
1. Harry is buying a new conservatory. He says, "The conservatory is a cube shape and the length measures 2m. How much space will his new conservatory take up?
2. The sum of a cubed number and a square number is 150. What are the 2 numbers?
3. Caroline's daughter has an age that is a cubed number. next year her age will be a squared number. How old is she?
Answer:
1) 8 m^3
2) 125 + 25
3) 8
Step-by-step explanation:
1) It's a cube shape => length = width = height = 2 m
Volume = length × width × height = 2 × 2 × 2 = 8 m^3
2) 5^2 + 5^3 = 150
25 + 125 = 150
3) Now she is 8 years old (8 = 2^3)
Next year she'll be 9 years old (9 = 3^2)
Translate the following statements into algebraic expressions.
One-half of the sum of 8 and x.
Answer:
1/2(8 + x)
Step-by-step explanation:
In this statement, it tells us to add 8 and x and then multiply that with 1/2.
To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? first equation: 4x − 3y = 34 second equation: 3x 2y = 17
To eliminate the y terms and solve for x in the fewest steps, the first equation 4x - 3y = 34 should be multiplied by 2, and the second equation 3x + 2y = 17 should be multiplied by 3 before adding them.
Elimination is a process of solving a system of equations to eliminate one variable and solve for the other.
To eliminate the y terms from the equations,
first equation: 4x - 3y = 34, and
second equation: 3x + 2y = 17,
we take the L.C.M. of the coefficients of y, that is 3 and 2, which is 6, and multiply the equation by the value = (LCM of the coefficients/respective coefficient of y).
That is, for :
the first equation, we multiply the equation by (LCM of the coefficients/respective coefficient of y) = 6/3 = 2.
the second equation, we multiply by (LCM of the coefficients/respective coefficient of y) = 6/2 = 3.
Thus, to eliminate the y terms and solve for x in the fewest steps, the first equation 4x - 3y = 34 should be multiplied by 2, and the second equation 3x + 2y = 17 should be multiplied by 3 before adding them.
Learn more about elimination at
https://brainly.com/question/1472154
#SPJ4
A tree height when planted was 5ft. 8inches. It has grown 14ft. 10 inches how much did it grown
Answer:
Subtraction will happen in this case.
14ft-5ft= 9ft
10 inches-8 inches= 2 inches
So, it grew 9ft. and 2 inches.
Please don't give a long answer
2400 - 40x = 600
As she has not studied 600 flashcards still, we subtract unit rate from total.
Part B40x - 600 = 2400
Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.
Part C(600 + 40)x = 2400
Here 'x' represent mass. As masses are same for both. They can be joined.
The lenght of a rectangle is 50cm its diagonal is 51 cm worl out the area of the rectangle A=LxW
There is an infinite number of length-width pairs that will result in a diagonal value of c.
Let a = the length. This is unknown.
Let b = the width. This is unknown.
Let c = the diagonal. This is a known value.
We have a right triangle with side a, side b, and hypotenuse c.
Since this is a right triangle, we will use the Pythagorean Theorem.
What is the Pythagoras theorem?
The Pythagorean Theorem is
[tex]c^2 = a^2 + b^2.[/tex]
Rearranging this formula gives
[tex]a^2 = c^2 - b^2[/tex]
And,[tex]a = \sqrt{(c^2 - b^2)}[/tex]
Now, if you chose a value for the width, b, then you can compute the corresponding for the length, b, since c is a known value. If you chose another value for the width, you can compute the length value corresponding to your width value.
There is an infinite number of length-width pairs that will result in a diagonal value of c.
To learn more about the sides visit:
https://brainly.com/question/20296962
#SPJ1
