Answer:
? = 60
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
120 = ? +60
subtract 60 from each side
120-60 = ? +60-60
60 = ?
How much money was raised with the 100 tickets solved?
Answer:
£1481
Step-by-step explanation:
First find the cumulative frequency of the child tickets. You should get 58.
Then multiply this by the price of the child tickets.
58x12.50=£725
Then, to work out the number of adults, we subtract 58 from 100
100-58=42
Then multiply this by the price of adult tickets.
42x18=£756
Add both prices together to get your answer.
725+756=£1481
Sorry if it's too late, I hope it helps. :)
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark’s investment double before age 52? What will his investment be worth? What would Mark’s investment be if he had invested at age 28?
Answer:
Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.
A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)
Step-by-step explanation:
Hope this helps. Stay healthy. No corona. Take Care
At the agre of 28 he had invested A=$2444.18.
The doubling time in years is 72/interest rate in per cent.
72/6 is 12 so it doubles every 12 years,
So, in 36 years it will double 3 times.
What is the formula for the investment?The formula of investment is
[tex]A=P(1+r)^{nt}[/tex]
[tex]A=300(1+.06)^{36}[/tex]
Without rounding, We get,
A=$2444.18.
That is doubling 3 times or increasing 8 fold.
Therefore at the age of 28 he had invested A=$2444.18.
To learn more about the investment visit:
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Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?
Answer:3080”
Step-by-step explanation:
Which shape is not necessarily a parallelogram?
A) quadrilateral
B) rectangle
C) rhombus
D) square
Answer:
A) Quadrilaterals
Step-by-step explanation:
All squares, rectangles, and rhombuses are parallelograms because their sides are parallel. However, quadrilaterals have four sides, but not all will be parallel.
If Nick used 56 feet of fence to enclose a square garden.How long,in feet was each side of Nicks garden?
Answer:
Each side is 14 ft.
Step-by-step explanation:
If there are 4 equal sides, you divide 56 by 4. That equals 14.
-36 divided by what gives -4
Answer:
-36 divided by 9= -4
Step-by-step explanation:
-36 divided by 9= -4
USE A CALCULATOR OR DO THE INVERSE
Answer:
9
Step-by-step explanation:
-36/x=-4
x=-36/-4
Note, -/-=+
Therefore, x=9
Hope you understand
Micheal has a set of 5 cards shown below. Micheal wil randomly select a card, not replace it, then select another card. What is the probibality That he selects a prime number and then a 1?
Answer:
3/20 or 15%
Step-by-step explanation:
Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.
To find the probability you need to multiply the two probabilities together.
3/5 times 1/4 is 3/20.
So your answer is 3/20 or 15%.
What is the surface area of the figure
L: 3 W:3 H: 6
Answer: 90 feet squared or whatever the units are
Step-by-step explanation:
It’s just multiplying then all together and the adding it again.
2*(3*3 + 3*6 + 3*6) = 90 feet squared
Explain the closure property as it relates to addition of polynomials. GIVE AN EXAMPLE PLEASE ASAP
9514 1404 393
Explanation:
The closure property for any operation and set says that performing the operation on members of the set will result in a member of the set.
The closure property for addition of polynomials says that the addition of any polynomials will result in a polynomial.
Examples:
1) 1 and x are polynomials, as is their sum: 1+x.
2) x^3 -5 and x+5 are polynomials, as is their sum: (x^3 -5) +(x+5) = x^3 -x.
Worth 15 points please help.
There are 100 prize tickets in a bowl, number 1 to 100. What is the probability that an even numbered prize ticket will be chosen at random, not replaced, then an odd numbered prize will be chosen? Does this represent an independent or dependent event? Explain.
Answer:
Step-by-step explanation:
no. even number = 50
no. odd number = 50
P (even ) = 50/ 100= 1/2
P(odd after take 1 even) = 50/99
Dependent event cause the first P affects the second P ( affect the total number of selection)
Which is the best reason why 4 5/6+2 4/6 not equal to eight
Answer:
I want brainliest >:)
Step-by-step explanation:
4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5
not 8!!!
I need help!!!! What is x
Answer:
x=58 degrees
Step-by-step explanation:
The angle is a right angle (90 degrees)
90-32=58
Answer:
58 degrees.
Step-by-step explanation:
This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:
The correct answer is B.
Step by step explanation:
Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]
Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]
Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]
Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]
Hope this helps. If so, may I get brainliest and a thanks?
Thank you, Have a good day!
Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams
Answer:
The answer is 66 ways .
Step-by-step explanation:
You have to use Combination because it says choosing 10 out of 12 as the position is not important :
12C10 = 66 ways of arrangements
The number of different 10-person teams are 66.
What is Combination?A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.
We have out of the 12 girls who tried out for the softball team, 10 will be chosen for the team.
Using Combination
C(n, r) = n!/ r! (n- r)!
Here n = 12, r= 10
So, C(12, 10)= 12! / 10! (12- 10)!
= 12 x 11 x 10! / 10! x 2
= 6 x 11
= 66
There are 66 10-person teams.
Learn more about combination here:
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Which is a better buy on apples
5lbs. for $5.25 OR 10lbs. for $10.25
Answer:
10lbs. for $10.25
Step-by-step explanation:
Use sigma notation to represent the following series for the first 10 terms.
3 + (-6) + 12 + (-24) + ⋯
Answer:
The sum of 10 terms is S₁₀ = -1023
Step-by-step explanation:
Explanation:-
Given series
3 + (-6) + 12 + (-24) + ⋯
This is geometric sequence 3 , -6 ,12 , -24 ,....
a = 3 and common ratio [tex]r = \frac{-6}{3} = -2[/tex]
Given ratio r = -2 < 1
Sum of 'n' terms of a G.P
[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]
Sum of '10' terms of a G.P
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]
[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]
Conclusion:-
Sum of '10' terms of a G.P = - 1023
Verification:-
The series of first 10 terms
3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) = -1023
[tex](3 {x}^{3} ) + \sqrt{16 {x}^{12} } - 8 {x}^{4} [/tex]
solve
Answer:
3x^3 + 4x^6 - 8x^4 or
x^3( 4x^3 - 8x + 3).
Step-by-step explanation:
3x^3 + √(16x^12) - 8x^4
= 3x^3 + 4x^6 - 8x^4
We can factor this; to give
x^3( 4x^3 - 8x + 3)
What is the values of x?
Answer:Answer is 4
15x-5+125=180°
15x=60
x=4
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..
A plane slices through the axis of a right circular cone with a height of 4 feet and a radius of 3 feet, as shown below. What is the perimeter of the intersection of the plane and the cone?
Answer: 37.64
Step-by-step explanation:
Given data:
Height of the cone = 4feet
Radius of the cone = 3feet
Therefore:
Perimeter of a cone = 1/3 * π * r*h
= 1/3 * 22/7 * 3² * 4
= 0.333 * 3.14 * 9 * 4
= 37.64 feet
The perimeter of the The cone and plane is 37.64feet
HELP ME PLEASE! SIMPLIFY EACH EXPRESSION: 1.) a(5x7). 2.) c + ( 17 + 8)
Step-by-step explanation:
1.)
a(5 x 7)
a(35)
35a
2.)
c + ( 17 + 8)
c + (25)
c + 25
A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other three sides. The area A(x) in square meters of the field is a function of the length x in meters of each of the sides perpendicular to the barn wall
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
Sorry man i dont know they answer
Step-by-step explanation:
can someone give me some examples of statistics PLEASE
Answer:
Weather Forecasts,Genetics,Medical Studies i think
Step-by-step explanation:
Stephanie has 4,500 in her savings account. If it earns 6% interest every month how much money does Stephanie have her bank account after 3 months?
Answer:
5,310
Step-by-step explanation:
6% of 4,500 is 270
270×3 is 810
810+4,500=5,310
6 mor to go thanks you
Answer:
BGC
Step-by-step explanation:
They are both on a straight line and add up to 180 degrees.
A waitress serves $950. Worth of dinners and recieves &95.00 in tips how much less in tips did she receive if she had gotten her 15% of the cost of meals
Answer:
She receives $47.5 less
Step-by-step explanation:
Now, the first thing to do here is to calculate what 15% if the total amount is
That would be 15/100 * 950 = $142.5
The amount she receives less is thus $142.5 -$95 = $47.5
Answer:
The amount less that she received than if she had received 15% of the cost of the meal is $47.5
Step-by-step explanation:
Here we have the amount of dinners served by the waitress = $950
Amount received in tips = $95.00
Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5
Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;
$142.5 - $95 = $47.5.
Factor the following equation:
x^2 -x-90
Answer:
(x - 10)(x + 9)
Step-by-step explanation:
[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]
Andre' went to the store where 3 bags of gummie bears were $6.30. How many were 7 bags of gummie bears?
3 bags of gummie bears/$6.30 =7 bags of gummie bears
True
False
I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number
Answer:
around 30.
Step-by-step explanation:
just divide 8564 by 287 to get the answer :)
brainliest pls
Please show work, and i will mark brainliest to first correct answer
Answer:
The volume of Prism will be "189888 inches".
Step-by-step explanation:
L = 43in.
W = 92in.
H = 4ft.
Convert ft. into in.
4 x 12
H=48in.
Volume or V = BH
and
B= L X W
B = 43 X 92
B = 3956 in.
then,
Volume = 3956 x 48 inches
Volume = 189888 inches
Translate the word phrase into a math expression.
15 fewer than the product of 4 and a number.
A. (4+x)−15
B. 15−4x
C. 4x−15
D. 4÷x−15
Answer:
es la(b
Step-by-step explanation: