Answer:
D. a = 29, b = 16, c = 24, d = 30, e = 22
Step-by-step explanation:
got it right on edge
The number of students who like both algebra and geometry is 27.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.
The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.
The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.
The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).
We are given that:
A = 45
G = 53
U = 75
U - (A ∪ G) = 6
Now,
U - (A ∪ G) = 6
75 - (45 + 53 - A ∩ G) = 6
27 = A ∩ G
Therefore,
The number of students who like both algebra and geometry is 27.
Learn more about the Venn diagram here:
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The complete question.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Find the number of students who like both algebra and geometry.
Preethi writes fifteen 1s in a row and randomly writes + and - between each pair of consecutive 1s. Find the probability that the expression that preethi wrote has value 7.
Answer:
The probability that the expression Preeti wrote has the value 7 cannot be easily determined.
Step-by-step explanation:
Given that Preeti writes
111111111111111,
then randomly writes + and - between each pair of consecutive 1's.
It is not specified that the + and - signs are written to be alternating, they are said to be just 'random'. So, there are a lot of possibilities. Things like:
1+1-1+1+1-1+1-1-1-1+1+1-1+1-1 = 1
Or
1-1-1+1+1-1-1+1+1-1+1-1+1+1-1 = -1
Or
1-1+1-1-1+1-1+1+1-1-1+1-1+1+1 = 0
And so on. There is a lot of possibilities.
So, clearly, the probability is difficult to determine, as the expression Preeti wrote could have had the value 7 in many different forms.
Because:
1+1+1+1+1+1+1-1+1-1+1-1+1-1+1 = 7
1+1+1+1-1-1-1-1-1+1-1-1-1+1+1 = 7
And many more.
Therefore, the probability that the expression Preeti wrote has the value 7 cannot be easily determined.
Hi can anyone help me with question 1 and 3
Answer:
292 and 2092
Step-by-step explanation:
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
Total : 240 + 600 + 90 = 730
So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292
Total: 292 + 1800 = 2092
The total cost of paint would be 2092 dollars.
The area of the cuboid is the sum of product of the length, breadth of the given prism.
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
The Total area: 240 + 600 + 90 = 730
So, The cost of painting = 730/25 x 10
= 29.2 x 10
= 292
Total: 292 + 1800 = 2092
Learn more about cuboid;
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Y=4x, y=x+7, y=-2x+4, y=3x-1 which doesn't belong?
Answer: y = 4x
Step-by-step explanation:
I would say y = 4x because all of these equations have a constant involved except for that.
Multiply (4x-3)(4x - 3) *
O 16x^2 + 9
0 16x^2 - 24x + 9
O 16x^2-9
O 16x^2 -24x - 9
Plz help Geniuses
Answer:
16x^2 -24x +9
Step-by-step explanation:
4x x 4x = 16x^2
4x x -3 = -12x
4x x -3 = -12x
-3 x -3 = +9
When all values are put together, they will form:
16x^2 -12x -12x +9
Once simplified, the equation will be:
16^2 -24x +9
Answer:
16x^2 - 9
Step-by-step explanation:
It is possible to solve this without actually multiplying.
There is a rule: (a+b)(a-b) = a^2 - b^2
So, when this is applied here:
(4x-3) (4x + 3) = 16x^2 - 9
All you had to do was 4x^2 and 3^2
Hope this helps.
Sam flips two coins. What is the possibility of both coins landing heads up? WILL GIVE BRAINLIEST
Answer:
The possibility is 0,002
Answer:
25% or 1/4
Step-by-step explanation:
There are 4 possible outcomes, and only one of them involves both coins landing on heads, so 1/4 is the probability.
Hope this helps! Please give brainliest!!
Erin has x working toys and y broken toys. Bert plays with Ernie's toys and breaks 1/3 of the working toys. Ernie then throws aways 1/4 of all of the broken toys. In terms of x and y, how many toys did Ernie throw away,
Answer:
y/4 + x/12
Step-by-step explanation:
The number of working toys = x
The number of broken toys = y
Bert breaks 1/3 of the working toys, that is:
1/3 * x = x/3
The number of broken toys is now:
y + x/3
Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:
1/4 *(y + x/3)
= y/4 + x/12
Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?
9 + 40h
9 + h + 40
9h + 40
9 + 40
Answer:
9h+40
Step-by-step explanation:
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.
So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.
(ps. this is my first answer, I apologise if Its not very detailed.)
The expressions best represent Jill's income for the week is 9h+40. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.
Her original 40$ and her 9$ from every hour can be written together as below:-
40 + 9h or 9h + 40.
Therefore, the expressions best represent Jill's income for the week is 9h+40. The correct option is C.
To know more about expressions follow
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Helpppp meeee plsssss
Answer:
i think the answer is A. 14 surfaces with glue on them
y is inversely proportional to x. Given that y=10 when x=2, find the value of y when x=5 PLEASE HELP ME REAL QUICK!! TYSM!
Answer:
Hey!
your answer is
25.0
Step-by-step explanation:
this is my working out below
Please help I do not understand
Answer:
Option B and C
Step-by-step explanation:
Option B and C are the most valid names for the triangle, Rest of the options don't suit the triangle.
8n + 2 = 5n + 11 , does anyone one know the answers
Answer:
n=3
Step-by-step explanation:
8n + 2 = 5n + 11
Subtract 5n from each side
8n-5n + 2 = 5n-5n + 11
3n+2 = 11
Subtract 2 from each side
3n+2-2 = 11-2
3n = 9
Divide by 3
3n/3 = 9/3
n =3
Answer:
n=3
Step-by-step explanation:
Let's do the algebra step-by-step.
8n+2=5n+11
-2 -2
8n=5n+9
-5n -5n
3n=9
/3 /3
n=3
Hope this helps :D
What value of x will make this expression equal to 28.1? A) x=0 is the only value that will make the expression equal to 28.1 B)x=1 is the only value that will make the expression equal to 28.1 C)The expression will equal 28.1 when x=−3.44 D)Any value of x, except when x=−3.44, will make the expression equal to 28.1
Answer:
Any value except -3.44 will make the equation equal to 28.1
Step-by-step explanation:
We are told to multiply the quotient of the fraction by 28.1 to make 28.1. So, it is obvious that the fraction has to simplified to a one. This is possible with any number as whatever the value of x, the numerator and denominator will be equal. But, in the case of -3.44, it will make 5e fraction 0/0, which is undefined and never equal to 1.
I hope this helps
I NEED HELP PLEASE, THANKS! :)
Answer: B (the second graph)
Step-by-step explanation:
Inverse is when you swap the x's and y's.
The graph has an asymptote at y = 4
so the inverse graph will have an asymptote at x = 4
a) Asymptote: y = 0
b) Asymptote: x = 4 → This is the correct graph!
c) Asymptote: y = -4
d) Asymptote: y = -4 this is the exact same graph as c
Find the total surface area of this triangular prism
Answer :
T.S.A = 200 cm²
if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)
Answer:
3^x+6x+2
Step-by-step explanation:
if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)=3^x+6x+2
Suppose f(x) = x^2 . What is the graph of g(x)= 1/2 f(x) ?
Answer:
the correct answer is (B)
Answer:
B
Step-by-step explanation:
x² is positive, so it is located on the top of the graph.
The parabola is open and going upwards.
1/2x² is half the parabola.
Restate the problem in a way that can be easily translated into an equation.
It took Dwight 30 seconds longer to swim across the pool than it did Claire.
A. Dwight's time equals Claire's time plus 30 seconds.
B. Claire's time equals Dwight's time plus 30 seconds.
C. Dwight's time is greater than Claire's time.
D. Dwight's rate is slower than Claire's rate.
Answer: B
It would easily be made into an equation and it’s more simple
a man sells a radio set for rupees 605 and gains 10% at what price should he sell another lady of the same kind in order to gain 16%
Answer:
638 rupees
Step-by-step explanation:
The radio cost him x.
He sold it at a 10% profit for for x + 10% of x which is the same as 1.1x
1.1x = 605
x = 605/1.1 = 550 rupees
It cost him 550 rupees.
To gain a 16% profit, he must sell it for 550 rupees + 16% of 550 rupees
That is the same as 116% of 550 rupees or 1.16 * 550 rupees
1.16 * 550 rupees = 638 rupees
Answer: 638 rupees
Determine the difference between the mean and standard deviation of: 33, 44, 43, 56, 55, and 30.
Answer:
mean = ( 33+44+43+56+55+30) / 6
= 261/6
= 43.5
[tex]variance = \frac{33 { }^{2} + {44}^{2} + {43}^{2} + {56}^{2} + {55}^{2} + {30}^{2} }{6} - {43.5}^{2} [/tex]
variance = 96.92
standard deviation = √96.92
= 9.84
difference between mean and standard deviation
= 43.5 - 9.84
= 33.66
Which property can be used to expand the expression -2 (3/4x+7)?
Answer:
-3/2x-14
Step-by-step explanation:
-2 (3/4x+7)
(3/4x) (-2/1) = -6/4x= -3/2x
(-2) (7)=-14
FINAL ANSWER:
-3/2x-14
Try Multiplication
Answer:
Distributive Property of Multiplication
Step-by-step explanation:
To expand the given expression, we'll distribute "-2" to the rest of the two terms to get them multiplied.
Two congruent circles centered at points A and B each pass through the other circle's
center. The line containing both A and B is extended to intersect the circles at
points C and D. The circles intersect at two points, one of which is E. What is the degree
measure of angle CED?
Answer:
60°
Step-by-step explanation:
We know triangle ABC is an equilateral triangle, since all of its side measures are the radii of the circles. That means angle BAC is 60°. Likewise, angle BAD is 60°, so arc CD is 120°.
The measure of inscribed angle CED is half the measure of the intercepted arc CD, so is ...
∠CED = 120°/2
∠CED = 60°
Simply 5^3/5^7 leaving your answer in index
Answer:
Given
Step-by-step explanation:
When the base is same but the exponents are different, the rule is that a^m/a^n
= a^m-n
So in this case let a be 5, m be 3 and n be 7
5^3/5^7
= 5^3-7
= 5^-4
Circumference of circles
Answer:
C = 12.56 km
Step-by-step explanation:
Remember C = 2πr
C = 2(3.14)(2)
C = 12.56
And we have our final answer!
Answer:
Step-by-step explanation:
The circle's circumference is modeled by the equation C=2πr. R is the readius of the circle, and pi is the symbol for the number 3.1419...... and it's infinite. So if C=2π（2）, the answer for the circumference of a circle with a radius of 2 km would be 4π km, or approximately 12.57 km.
Which of these points lie on the line described by the equation below? y-5=6(x-7) A. (-5,-7) B. (7,5) C. (-7,-5) D. (5,7)
Answer:
Step-by-step explanation:
Answer: (7,5)
Step-by-step explanation:
Please help. :( I don’t understand
Answer:
B
Step-by-step explanation:
M(t)=N(1+r)^t
Choice B is correct,
M is the product of N and only depends on r and t
N- is initial number and doesn't change, r- is rate of change, the function is not linear
y = –3x – 5 The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
Answer:
C (–2, 1)
Step-by-step explanation:
It's C, because the question explained that the value of the input was -2. The input is the x coordinate and the output is the y coordinate. (x,y) (input,output).
Putting in the input, you get, (-2,y) ( y is the unknown y coordinate)
Since C is the only answer with -2 as the input, your answer is C
Q1 Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answer:
Slope: -1/6
Midpoint of AB: (1, 8.5)
Distance of AB: √37
Step-by-step explanation:
Slope formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
Distance formula: [tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
Hey u! I need help simplify this expression
75 + 13 + ?? = 140 i dont know what it is.
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
52
Step-by-step explanation:
75 + 13=88
140 - 88=52
75 + 13 + 52=140
hope it helps stay safe and have a good day =D
A circular pond has a radius of 42 feet. What is the circumference of that pond?
Answer:
c = 263.89 ft
Step-by-step ex
