Answer:
12 people like to watch football
Step-by-step explanation:
The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both.
Total number of residents = 100
Basketball (B) = 98
Football(F) = 12
Number of residents that like basketball and football = ( B ∩ F)
2 dislike both
n ( B ∪ F) - People that dislike it = n(B) + n ( F ) - n ( B ∩ F)
100 - 2 = 98 + 12 - n ( B ∩ F)
98 = 110 - n ( B ∩ F)
n ( B ∩ F) = 110 - 98
= 12
Therefore, 12 people like both Football and Basketball
How many like to watch football?
From the above question, we can see that the total number of people that like to watch football = 12 people
Can someone help me with this
The definition of a triangle is a polynomial with 3 sides and interior angles adding up to 180.
Using the definition, we can create an equation.
[tex]180=42+31+x[/tex]
[tex]180=73+x[/tex]
[tex]x=107[/tex]
The measure of the third interior angle is 107 degrees.
Hope this helps.
頑張って!
Answer:
107
Step-by-step explanation:
triangle angles = 180
31 + 42 = 73
180 - 73 = 107
this is true or false? and why.
Cynthia besch wants to buy a rug for a room that is 20 ft wide and 33 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 378 ft² of carpeting. What dimensions should the rug have?
Answer:
Length of rug = 14 ft
Width of rug = 27 ft
Step-by-step explanation:
Given:
Length of rug = 20 ft
Width of rug = 33 ft
Area she afford = 378 ft²
Find:
New sides
Computation:
Assume;
Uniform strip = x
So,
Length of rug = 20 - x ft
Width of rug = 33 - x ft
Ares = l × b
[20-x][33-x] = 378
660 - 20x - 33x + x² = 378
x² - 53x + 282
x² - 47x - 6x + 282
x(x-47) -6(x-47)
So,
x = 6 and x = 47
X = 47 not be taken, So x=6
Length of rug = 20 - 6 ft
Width of rug = 33 - 6 ft
Length of rug = 14 ft
Width of rug = 27 ft
Russell runs 9/10 miles in 5 minutes. At this rate, how many miles can he run in one minute
Answer:
9/50 miles
Step-by-step explanation:
9/10 miles in 5 minutes
= 9/50 miles in 1 min
A quadrilateral has angle measures of 41 52 and 54 which is the measure of the last angle
Answer:
213 degrees
Step-by-step explanation:
A quadrilateral has an internal measurement of angles of 360 degrees. Given that we have 3 measures of the angles, we simply need to find the 4th. This can be accomplished with the following equation:
x + 52 + 54 + 41 = 360
x + 52 + 95 = 360
x + 147 = 360
x = 213
Hence, the measure of the final angle is 213 degrees.
Cheers.
Tommy used a straightedge and a compass to construct a square inside circle C, as shown.
Which of the following steps did Tommy take to construct the inscribed square? Select all steps in the construction.
A Construct a perpendicular bisector of the diameter AB.
B. Construct a perpendicular bisector of the diameter DE.
C. Construct a bisector of ADB to find the location of point E.
D. Use the compass to draw a circle centered at point c.
O E Use the compass to draw two arcs of the same radius centered at point C.
OF Use the straightedge to draw diameter AB of the circle.
OG Use the straightedge to draw lines connecting the endpoints of the two diameters.
Answer:
The correct options are;
A. Construct a perpendicular bisector of the diameter AB
D. Use the compass to draw a circle centered at point C
E. Use the compass to draw two arcs of the same radius centered at point C
F. Use the straightedge to draw diameter AB of the circle
G. Use the straightedge to draw lines connecting the endpoints of the two diameters
Step-by-step explanation:
To draw an inscribed square of a circle, the circle is first constructed. The diameter of the circle is drawn with a straight edge to find the first two vertices of the intended inscribed square. The perpendicular bisector of the diameter is then drawn intersecting the circumference to provide the other two vertices of the square.
The straightedge is then used to draw lines that connect the endpoints of the two diameters to form the inscribed square of the circle.
Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any value of a D. no value of a
Answer:
2
Step-by-step explanation:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x
So, 2([tex]\frac{x+1}{a}[/tex]) - 1 = [tex]\frac{(2x-1)+1}{a}[/tex]
If you multiply both sides by a, you get 2a([tex]\frac{x+1}{a}[/tex]) - a = (2x-1)+1
Simplify it 2a([tex]\frac{x+1}{a}[/tex]) - a = 2x
Add a to both sides 2a([tex]\frac{x+1}{a}[/tex]) = 2x +a
The two as on the left cancel out 2(x+1)=2x+a
Distribute the 2 2x+2=2x+a
Then subtract 2x from both sides 2 = a
Therefore, a = 2
Hope this helps!
Answer:2
Step-by-step explanation:
.8787... as a fraction
Step-by-step explanation:
Write 0.8787 as
0.8787/1
Multiply both numerator and denominator by 10 for every number after the decimal point
0.8787 × 10000
1 × 10000
=
8787/10000
Reducing the fraction gives
8787/10000
a table is on sale for 72% off. the price is $246.40. What is the regular price
Answer:
$68.99
Step-by-step explanation:
This is called percentage decrease:
(100 - 72)% = 28%
246.40 × 28/100
= $68.99
Mx-y when m=2,x=7. And y= 5
Answer:
9
Step-by-step explanation:
mx - y (m = 2, x = 7, y = 5)
(2*7) - 5
= 14 - 5
= 9
Trevor picked 5 ⅗ pounds of cherries. He distributed them evenly into 12 containers. How many pounds of cherries were in each container?
Answer:
7/15
Step-by-step explanation:
For me, it is easier to take the 3/5 and put it in decimal form which is .6 and add the 5 to it, making 5.6, and then in a calculator put in 5.6 divided by 12 and you should get a big decimal that's pretty big but if you have a graphing calculator and convert that to a fraction and you should get 7/15, This is a pretty lazy way of me doing it but that's how I did it.
If segment BD is congruent to segment BC, BD=5x-26, BC=2x+1, and AC=43, find AB
Answer:Thats a tough one
Step-by-step explanation: Do you need this answer urgently?
Which of the expressions has a sum of 15.41? Select all that apply. A. 11 . 38 + 4 . 03 B. 10 + 5 . 41 C. 12 . 38 + 2 . 93 D. 9 . 2 + 6 . 21 E. 7 . 54 + 6 . 87
Answer: A. 11 . 38 + 4 . 03
B. 10 + 5 . 41
D. 9 . 2 + 6 . 21
Step-by-step explanation:
Step 1
Compute the sum of the given options
a) 11 . 38 + 4 . 03 = 15.41
b) 10 + 5 . 41= 15.41
c) 12 . 38 + 2 . 93= 15.31
d) 9 . 2 + 6 . 21 =15.41
e) 7 . 54 + 6 . 87=14.41
Step 2
Eliminate the expressions that do not give a sum of 15.41 , we have
a) 11 . 38 + 4 . 03 = 15.41
b) 10 + 5 . 41= 15.41
d) 9 . 2 + 6 . 21 =15.41
Therefore, the expressions with sum of 15.41 are A, B and D
Which of the following is an odd function??
O g(x) = x2
O g(x) = 5x - 1
O g(x) = 3
O g(x) = 4x
Step-by-step explanation:
An odd function is where g(x) = -g(-x).
Therefore the answer is g(x) = 4x, as it passes through the origin and g(x) is positive when x is positive, and g(x) is negative when x is negative.
The odd function will be g(x) = 4x. Then the correct option is D.
What is an odd function?A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.
The equation should be stored in an odd function:
f(-x) = -f(x)
Let's check all the options.
A. The function is g(x) = x².
Substitute x = -x, then we have
g(x) = (-x)²
g(x) = x²
This is an even function.
B. The function is g(x) = 5x – 1.
Substitute x = -x, then we have
g(x) = 5(–x) – 1
g(x) = – (5x + 1)
This is a neither even nor odd.
C. The function is g(x) = 3.
Substitute x = -x, then we have
g(x) = 3
This is an even function.
D. The function is g(x) = x.
Substitute x = -x, then we have
g(x) = -x
g(x) = x
This is an odd function.
Then the correct option is D.
More about the odd function link is given below.
https://brainly.com/question/14264818
#SPJ2
7r-9s+2r
evaluate for the following expressions for r=7,s=-2 and t=5
Answer:
91
Step-by-step explanation:
7(7) - 9(-2)+2(7)
=142+49
=91
Answer:
81
Step-by-step explanation:
Simplify it first:
7r-9s+2r = 7(7)-9(-2)+2(7) = 49-(-18)+14
(Since you have 49-(-18) it automatically becomes addition/a positive.)
So you have 49+18=14 which equals 81.
Hope this helps :)
If the spread of data on one side of the median of a data set is much greater than the spread of data on the other side, then what shape does the data distribution have? Explain.
Solve the formula for the specified variable A= P+Prt for r
Answer:
R=a/pt-1/t
Step-by-step explanation:
r= a/pt-1/t
Step-by-step explanation:
x+6/4 + x-3/5 = 5x-4/8
Answer:
x = 7/15
Step-by-step explanation:
x + 6/4 + x - 3/5 = 5x - 4/8
x + x - 5x = -4/8 - 6/4 + 3/5
-3x = -2/4 - 6/4 + 3/5
-3x = -8/4 + 3/5
-3x = -2 + 3/5
-3x = -10/5 + 3/5
-3x = -7/5
x = (-7/5)/-3
x = -7/(5*-3)
x = -7/-15
x = 7/15
Check:
7/15 + 6/4 + 7/15 - 3/5 = 5(7/15) - 4/8
14/15 + 6/4 - 3/5 = 35/15 - 2/4
56/60 + 90/60 - 36/60 = 140/60 - 30/60
146/60 - 36/60 = 110/60
An actor gains 20 pounds for a part and then loses 15 pounds during the filming of the movie to go along with the story. How many pounds is the actor above or below his original weight?
Answer:
5 pounds above his original weight
Step-by-step explanation:
An actor gains 20 pounds for a role in a movie
He loses 15 pounds during the movie to blend with the story line of the movie
Since he gained 20 pounds and loses 15 pounds
20 pounds -15 pounds
= 5 pounds
Hence the actor is 5 pounds above his original weight
Out of 340 racers who started the marathon, 302 completed the race, 26 gave up, and 12 were disqualified. What percentage did not complete the marathon?
Answer:
11.18%
Step-by-step explanation:
Total = 340
Completed = 302
Not completed = 340 - 302 = 38
Not completed% = 38/340*100% = 11.18%
Which graph is generated by this table of values? x –5 –3 –1 4 y 2 4 1 0 On a coordinate plane, points are at (negative 5, 2), (negative 3, 4), (negative 1, 1), and (4, 0). On a coordinate plane, points are at (negative 5, negative 2), (negative 3, negative 4), (negative 1, negative 1), and (4, 0). On a coordinate plane, points are at (0, 4), (1, negative 1), (2, negative 5), and (4, negative 3). On a coordinate plane, points are at (1, negative 1), (3, negative 4), (4, 0), and (5, negative 2).
Answer:
The answer is A
Step-by-step explanation:
All you must do is find the correct values in the graph.
The graph which is generated by the table of values x -5,-3,-1,4 and y=2,4,1,0 is on coordinate plane points are at (-5,2) ,(-3,4) ,(-1,1) ,(4,0).
What is function?A function is a relationship between two or more variables having each value of x corresponding to y values. Values of x are known as domain and values of y are known as codomain.
How to graph function?We have been given the following table as under:
x y
-5 -3
-3 4
-1 1
4 0
We have to plot the points -5 ,-3,-1,4 on x axis and corresponding-3,4,1,0 on y-axis.
Hence the graph of given table of values is that on coordinate plane points are at (-5,2) (-3,4)(-1,1)(4,0).
Learn more about function at https://brainly.com/question/10439235
#SPJ2
Is 4/15 and 0.26 equivalent and why
Answer:
no. because if you divide 4/15 you will get 0.266666.....
look at the image and show work 4) translation: 6 units left K, J, I, L
Answer:
K (-5, 2); J (-2, 3); I (-1, 1); L (-5, -3)
Step-by-step explanation:
Translating the shape 6 units to the left means that every point/vertex will be moved 6 units to the left of where it is originally drawn.
Point K is at (1, 2). Since we are only moving it left (on the x-axis), the y value will not change. To move K left 6, we have to subtract 6 from its current x-value, 1. We get -5 for the new x-value. Because the y value didn't change, the new location of K is (-5, 2).
Point J is at (4, 3). Subtracting 6 from 4 (the x value) gives us the new x value of -2. Again, the y value does not change and so our new location for J is (-2, 3).
Point I is at (5, 1). If we subtract 6 from 5, we get -1. This is our new x value for I. The new point is (-1, 1). (Once again, the y value does not change).
Point L is at (1, -3). By subtracting 6 from the original x value, 1, we get our new x value: -5. The new point for L is (-5, -3).
A post is put every 6 feet along a fence around a rectangular field that is 42 feet long and 36 feet wide. What is the total number of feet around the field? *
Answer:
26 posts
Step-by-step explanation:
find perimeter:
42+42+36+36= 156
divide by 6
156/6=26
Irene's grandfather arrived in Sydney from Athens at 10 pm on Friday after a 25-hour trip. The flight began at 12 noon on Thursday, Athens time. What is the time difference between Athens and Sydney?
The question is incomplete:
Irene's grandfather arrived in Sydney from Athens at 10 pm on Friday after a 25-hour trip. The flight began at 12 noon on Thursday, Athens time. What is the time difference between Athens and Sydney?
A. Athens time is 9 hours behind Sydney time.
B. Athens time is 9 hours ahead of Sydney time.
C. Athens time is 15 hours behind Sydney time.
D. Athens time is 15 hours ahead of Sydney time.
Answer:
A. Athens time is 9 hours behind Sydney time.
Step-by-step explanation:
The statement indicates that the flight began at 12 noon on Thursday, Athens time and that it lasted 25 hours. So, you can calculate the Athens time when he arrived after 25 hours which would be 1 pm on Friday. Also, the statement says that Irene's grandfather arrived in Sydney at 10 pm on Friday and now we know that at that moment it was 1 pm on Friday, Athens time. From these, you can calculate the difference between 1 pm and 10 pm that would be 9 hours. Because of this, the answer is that the time difference between Athens and Sydney is that Athens time is 9 hours behind Sydney time.
If 2.5 pounds of strawberries cost $10, how much do 8 pounds of strawberries cost? Question 17 options: $3.13 $32.00 $40.00 $2.00
Answer:
32 dollars for 8 pounds
Step-by-step explanation:
1. 2.5 times 3 = 7.5
2. 10 times 3 = 30
3. 2.5 divided by 5 = .5
4. 10 divided by 5 = 2
5. 7.5 + .5 equals 8
6. 30 + 2 = 32.
hope this helps you:)
Answer:
$32.00
Step-by-step explanation:
i took 10 divided by 2 and got its $4 a pound then take 8 times 4 and got 32
- 5у - 25 - - 40
What is y
Please, can you do this step-by-step.... 2 1/3 + 6 3/5
Answer:
8 14/15
Step-by-step explanation:
Step 1:
2 1/3 + 6 3/5
Step 2:
2 5/15 + 6 9/15
Answer:
8 14/15
Hope This Helps :)
Answer:8 14/15
Step-by-step explanation:
convert to lcd, 2 5/15 6 9/15
add them and you get that
Is 1/2 rational or a not whole interger
Answer:
Every integer is a rational number, numbers like 1/2,and -3/7 are also rational, It is an Rational number
Step-by-step explanation:
The width of kevin's yard is three times the width of his garage, increased by 12 feet. What expression describes the width of kevin's yard if g represents the width of his garage?
Answer:
The expression that describes the width of Kevin’s yard is (3g + 12) feet
Step-by-step explanation:
This is an expression problem.
From the question, we are made to know that the width of the yard is 3 times the width of the garage increased by 12 feet.
Now, we are told that the width of the garage is g feet and we want to find the width of the yard.
The width of the yard will be g feet * 3 + 12
Mathematically that would be 3g + 12 feet