Answer:
(x,y)+(2,2)
Step-by-step explanation:
In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming? In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming?
The number of student taking math is 37 while the number of students taking programming is 74
Universal set = 97
let
The number taking math = x
The number taking programming = 2x
The number of students that take exactly one subject = 53
The student taking neither of the subject = 15
The number of students taking only maths will be
x - n(m ∩ p)The number of students taking only programming will be
2x - n(m ∩ p)let
n(m ∩ p) = y
Therefore,
x - y + 2x - y = 53
3x - 2y = 53
Also,
97 = x + 2x - y + 15
3x - y = 82
Therefore,
3x - 2y = 53
3x - y = 82
-y -(-2y) = 82 - 53
y = 29
3x - 29 = 82
3x = 82 + 29
3x = 111
x = 111/3
x = 37
Finally,
number of students taking maths = 37
number of student taking programming = 37×2 = 74
Check similar problem on sets: https://brainly.com/question/16132324?referrer=searchResults
Please help. I am not sure how to solve. Please include step by step. Thank you for the help!
Answer:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
h = 4 cm
Step-by-step explanation:
Given the formula for the volume (V) of a cylinder: V = πr ²h, and the following values for volume and radius:
V = 36π cm³
r = 3 cm
First, solve for h:
V = πr ²h
Divide both sides by πr ²:
[tex]\frac{V}{\pi r^{2} } = \frac{\pi r^{2}h}{\pi r^{2} }[/tex]
[tex]h = \frac{V}{\pi r^{2}}[/tex]
Next, solve for the height of the cylinder by substituting the given values for volume and radius into the formula:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
[tex]h = \frac{36\pi }{\pi (3^{2})}[/tex] → π cancels out.
[tex]h = \frac{36}{9}[/tex]
h = 4 cm
Can someone please explain this by step by step? And give me the answer
Answer:
we know that q=-18
So if we see the fraction below it says q/3
We know that q is -18
Therefore, you substitute it in for q and you get
-18/3 which equals -6
What is the midpoint of CD?
Answer:
The endpoints of the line segment CD are:
$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$
We find the midpoint using th
The admission fee at an amusement park is $6.50 for children and $15.00 for adults. On a certain day, 337 people entered the park, and the admission fees collected totaled $3,423.00. How many children and how many adults were admitted?
Answer:
192 children and 145 adults were admitted.
Step-by-step explanation:
Let c represent the amount of children and let a represent the amount of adults.
Total fees for children = (Fee for one child) x (Amount of children) = 6.5c
Total fees for adults = (Fee for one adult) x (Amount of adults) = 15a
Total fees = Total fees for children + Total fees for adults
3423 = 6.5c +15a
We know that the amount of people who entered the park was 337. Therefore a+c=337, which means a=337-c.
Sub this in to the equation above to get:
3423 = 6.5c +15 (337-c)
3423 = 6.5c + 5055 - 15c
-1632 = -8.5c
c = 192
So there were 192 children.
Since a=337-c and c=192, a=337-192=145. So there were 145 adults.
if y=6 when x=40 find x when y=24
Answer:
160
Step-by-step explanation:
24/6=4
4 x 40 = 160
x is 160 when y is 24
Answer:
160
Step-by-step explanation:
Let x be... well x
24 ÷ 6 = 4
40 × 4 = 160
OR
40÷6 ≈6.66
6.6666666... × 24 = 160
A rectangle is 51.6 cm tall and 45.6 cm wide. If it is reduced to a width of 3.8 cm, then how tall will it be?
Answer:
jjdttfyuy
Step-by-step explanation:
x - 2/2 = 3x + 8/4
A. 12
B. -24
C. 16
x-2/2=3x+8/4
x-1=3x+2
-x. -x
-1=2x+2
-2. -2
-3=2x
÷2. ÷2
-3/2=x
8+4 =17+5
identify and explain the error made by the leaner
Answer:
let the value of x
Step-by-step explanation:
x=8+4=17+5
x=12=22x=22/12
x=1.8334
The price of an item has dropped to $68 today. Yesterday it was $80. Find the percentage decrease.
Answer:
15 percent
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
(80-68)*(100/80)=15%
a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.
Answer:
3.657 and 7.657 to the nearest thousandth.
Step-by-step explanation:
x - y = 4
x^2 + y^2 = 72
From equation 1
x = y + 4 so
(y + 4)^2 + y^2 = 72
y^2 + 8y + 16 + y^2 - 72 = 0
2y^2 + 8y - 56 = 0
y^2 + 4y - 28 = 0
y = 3.657.
so x = 7.657.
David has one watermelon that weights 1867g. He splits it in half, and weights one half. That half weights 755g. How much does the other one weight?
Answer:
1112 grams
Step-by-step explanation:
1867-755=1112 g
Answer:
1112 grams.
Step-by-step explanation:
1867g - 755g = 1112 g
brainliest please. . . .
Which of the following is the graph of y=sqrd-x-3?
___________
[tex] \: [/tex]
y = [tex]\sqrt{-x - 3}[/tex]
graph in picture!
what is the value of p(x)=4x+15 ?
Answer:
The answer is 10x
Step-by-step explanation:
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)
Given :
A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }To find :
(A U B ) × (A Π B )Solution :-
The first set is ,
A ={x : 2x² + 3x - 2 = 0}Solving the Quadratic equation ,
2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2Hence ,
A ={0.5, -2}The second set is ,
B ={ x :x² + 3x - 4 = 0 }Solving the Quadratic equation ,
x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4Hence ,
B ={1,4}Now ,
A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }Since AΠ B is a null set , hence ,
A × B = {∅}You buy tomatoes sauce for 0.37per ounce. One portion of potatoes gnocchi requires 3.5 ounces of tomatoe sauce. How much does the sauce for one portion cost
Answer:
it would cost $0.74 = 74 cents
Step-by-step explanation:
The cost of one ounce of tomato = $0.37
1 portion of potato gnocchi requires 2 ounces of tomato sauce.
To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.
That is:
Cost = 2 * 0.37 = $0.74
Hence, one portion of potato gnocchi costs $0.74
Since $1 = 100 cents, the cost in cents will be:
0.74 * 100 = 74 cents
HELPPP
Indicate the equation of the given line in standard form, in the equation box below.
The line through (2, –1) and parallel to a line with slope of 3/4.
Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6
please help need this done by tomorrow thank you [PHOTO]
The solution to 3(x-8)+4x=8x+4
Answer: x = -28
Step-by-step explanation:
1) Distribute
3(x-8)+4x=8x+4
3x-24+4x=8x+4
2) Combine like terms
7x - 24 = 8x + 4
3) Move x(subtract 7x from both sides)
-24 = x + 4
4) Subtract 4 from both sides.
-28 = x
Hope it helps :)
The simplified solution of the given expression is x = -28.
Given that, to determine the simplified solution of the expression 3(x-8)+4x=8x+4
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3(x-8)+4x=8x+4
3x - 24 + 4x - 8x = 4
-x = 4 + 24
-x = 28
Thus, the simplified solution of the given expression is x = -28.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
What are the solutions of the equation 4x² + 3x = 24 - x?
O-3, 2, or 4
0-3 or 2
O-2, 3, or 4
O-2 or 3
8 × 4/8 =
patulong po
Answer:
4
Step-by-step explanation:
the answer is 4
yep it is because eight cancels out with the other one
Answer:
(8 × 4)/8
so answer=4
Directions: Find the slope of the lines graphed below.
1.
2.
we know,
slope = y_2 - y_1/x_2 - x_1
1.
according to the graph given points are,
(2,1) and (0,3)
now,
→ 3 - 1/0 - 2
→ 2/-2
→ -1
therefore, slope of the given graph is -1.
2.
according to the graph given points are,
(-6,2) and (0,1)
now,
→ 1 - (-6)/0-2
→ 7/-2
→ -3.5
therefore, slope of the given graph is -3.5 OR in fraction form it is 7/-2.
3.
according to the graph given points are,
(2,2) and (0,4)
now,
→ 4 - 2/0-2
→ 2/-2
→ -1
therefore, slope of the given graph is -1.
hope this answer helps you dear...take care and may u have a great day ahead!
HELPP
subtract a from 9, double the result, then add 10 to what you have
Answer:
Step-by-step explanation:
9 - a = 9 -a
9 - a + 10 = 19 - a
help me guys I need help ?
Answer:
The answer is D. Hope this helps
yall what is this? I dont really know what to do
Answer:
you did it right
Step-by-step explanation:
PLS HELP I ONLY HAVE 5 MIN
Answer:
I know this isn't really help but Desmos is a good place to help you with stuff like this.
Answer:
y-intercept = 34/5 (6.8), eqn, y = 0.4x +0.6
Step-by-step explanation:
Slope (m) = 0.4
(8-y)/(3-x) = o.4
8-y = 1.2 - o.4x
6.8 - y = -0.4x
y = 0.4x + 6.8
From y = mx + c , where c is the y-intercept
hence 6.8
Write an expression for the perimeter of the triangle shown below:
A). 5.5x − 9
B). 5.5x + 9
C). 10x − 39
D). 10x − 9
Answer:
Answer B 5.5x + 9
Step-by-step explanation:
Perimeter is the distance around the three sides of the triangle
P = (0.3x + 24) + (5x) + (0.2x - 15)
P = (0.3x + 5x + 0.2x) + (24 - 15)
P = 5.5x + 9
A farmer has 15 boxes of eggs
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form
Total
Pls help ASAP I’ll brainlest
EXPERIMENT
PROBLEM
CONCLUSION
INFERENCE