The minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked is 12.
How to find the minimum number?So obviously, there is the case where with only two draws you can get the same candy twice, but we need to find a number N such that we know for sure that always that we take N candy, we drew at least one pair of equal candy.
There are 11 types of candy in the bag.
Now, suppose the next thing.
First, you draw a candy, now there are 10 types of candy in the bag that are different than the one you got.
Now you draw again, and get a different candy, so now there are 9 types of candy in the bag different to the two you got.
Now you keep doing this and getting a different type of candy until you already have the 11 types of candy in your hands.
Now if you draw a candy again, one pair will be formed (because you have all the types of candy already).
From this, we can conclude that always that you draw 12 pieces of candy, at least one pair will be formed.
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Question 10 options: Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural. How tall will the actual mural be?.
The scale ratio of a model is the proportionate ratio of the model's linear dimensions to the equivalent characters. The actual mural will be 5 inches wide and 11 inches tall.
What is the scaling ratio?The scale ratio of a model is the proportionate ratio of one of the model's linear dimensions to the equivalent characters in the original.
As it is given that Arnold is using a scale in which 12 inches represents 1 foot to paint the mural. but since we know that 12 inches are equal to 1 foot.
Therefore, the actual mural will also be 5 inches wide and 11 inches tall.
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If I bought 2 1/4 pounds of hamburger, and the hamburger costed 4.48 dollars per pound, how much would it all cost? (I need answers quick, I'm in a test!)
Answer: $10.08
2 pounds of hamburger would equal $8.96.
1/4 of 4.48 is $1.12.
Add $8.96 and $1.12 is $10.08
If peter spent 500 dollars, how much did john spent?
Answer:
500 dollars spend by john
9.Evaluate (9/4)^1/2
The exact form is 3/4
Decimal form is 1.5
And mixed number form is 1 1/2
A piece of paper is chosen from a bag that contains 10 pieces of paper numbered 1 through 10. Find the probability that the paper chosen has an odd number or a number less than 5 on it.
Answer:
1/5
Step-by-step explanation:
Answer:
7/10 (70%)
Step-by-step explanation:
There are papers in the bag labeled 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. There are 5 pieces of paper that are odd, which are 1, 3, 5, 7, 9. Then, you also have to add in all the numbers less than 5, which are 1, 2, 3, 4. Now, 1, and 3, are already selected so you need to add 2 and 4. This leaves you with a group of numbers, 1, 2, 3, 4, 5, 7, 9. Those are 7 numbers, out of the possible 10, which means there's a 7/10 chance. (70%) chance.
To number a book from 1 up to its last page took 552 digits. How many pages are in the book?
Explanation:
So 552 digits are used to number the pages of a book consecutively from page one. How many pages are there in the book?
1 to 9 = 9 digits
10 to 99 = 2*90 = 180 digits
So, 1 to 99 uses 189 digits.
552 - 189 = 363
3 digits per page = 363/3 = 121 pages starting at page 100.
Page 100 to 220 is 121 pages
220 pages in total
I hope this is logic is right - you might want a second opinion, too.
The number of the pages in the book which has a number from 1 to 552 digits will be 220.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
To number a book from 1 up to its last page took 552 digits.
Then the number of pages in the book will be
1 to 9 there are 9 digits.
From 10 to 99, the number of digits will be
2 × 90 = 180
10 to 99 there are 180 digits.
From 1 to 99, there are 189 digits.
Then the remaining digits will be
552 – 189 = 363
Three digits per page will be
363/3 = 121
Page starting at hundred.
Then the total number of pages will be
120 + 100 = 220
More about the Algebra link is given below.
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Solve equation step by step
6= x+2/3
Answer: x = 16 or if it is x+2/3 (two thirds), then 5 1/3
Step-by-step explanation: 16+2 divided by 3 = 6. 5 1/3 + 2/3 = 6.
Answer:
5 1/3
Step-by-step explanation:
Step 1:
6 = x + 2/3 Equation
Step 2:
6 - 2/3 = x Subtract 2/3 on both sides
Answer:
5 1/3 = x Subtract
Hope This Helps :)
calculate the value of 2a+3b if a=1 and b=2
calculate the value of 2a+3b if a=1 and b=2
= 2 * 1 + 3 * 2
= 2 + 6
= 8
* = multiply by
2a = 2 * a
and 3b = 3 * b
SO WHAT IS 7.6n-15=3.6n+5
Answer:
kinda hard
Step-by-step explanation:
Answer:
ya momma gay
Step-by-step explanation:
215
What is the area of the shape?
Answer:
49
Step-by-step explanation:
Please check the photo.
What are some of the factors to take into consideration when opening a savings account and what information do you
need to provide?
Answer:
The factors we might take into consideration when opening a savings account is how accessible are the banks, the types of services the bank provides, customer services, and what types of rates the bank provides.
Step-by-step explanation:
Some of the factors to take into consideration when opening a savings account are;
- Interest Rate
- Minimum Cash Balance
- Wide reach of bank
- Service Charge
Some of the factors to consider when opening a savings account are;
1) Interest Rate; Savings accounts usually pay the lowest interest rates when we compare to other investment means. This is because some pay interest rate of around 6% annually while others pay lesser. Thus, it is very important to choose the bank wisely.
2) Minimum Cash Balance; Some banks require a particular minimum balance to open a savings account. Thus, it will be wise to look for a bank that doesn't require too much initial minimum opening balance.
3) Wide reach of bank; Although many transactions can now be done online but yet there are times we have to go to the banks physically and so it will be good to go with a bank that has many branches.
4) Service Charges; Banks usually have some charges which are called service charge and they range from ATM card charges, SMS charges, transaction charges. Thus, it will be good to have an idea of these charges before opening an account.
The information required to be provided to open savings account are;
- Government issued Identification Card
- Social Security Number
- Date of birth
- Address
- Contact Information like phone number, email e.t.c
- Bank account information
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In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.
Answer:
Maximum = 400 marks
Step-by-step explanation:
Given :-
332 marks
83% of the marks
To Find :-
Total marks (T)
Solving :-
T x 83% = 332
T x 83/100 = 332
83T = 33200
T = 33200/83
T = 4 x 100
T = 400 marks
Solution :-
Maximum = 400 marks
Solve the equations. Show the solution sets on a number line.
|2/3q-1|=5
Answer:
q=9 or q=−6
Step-by-step explanation:
What is the slope from the table?!?!
Answer:
The slope is 2.
Step-by-step explanation:
Because the "x" is increasing by 2s, you take the difference between each "y" and divide by two. This gives you four dived by 2, which equals two.
For example, taking the difference between the first "y", 7, and the second "y", 11, is 4. Because the "x" is increasing by twos, you divide by two to get the difference between one "y" and the next. Therefore, the answer is 2.
Answer:
the slope of the line is 2
Step-by-step explanation:
To find the slope of a set of points you use the equation (y 2 - y 1) over (x 2 - x 1) For this equation I will do it twice, to prove that any two sets of points will work for it, so long as x 1 and y1 and x2 and y 2 are across from each other on your table.
20, 45 will be my x 2 and y 2 points for the first equation, and 5, 15 will be my x 1 and y 1 points for the first equation. (plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation). (45 - 15) over (20 - 5). 45 minus 15 equals 30, and 20 minus 5 equals 15. So now the equation is 30/15. But this is not our final slope. This can be simplified to 2/1, because 15 goes into 30 twice, so they can both be divided by 15. 2/1 is also not its final form, because 2 divided by 1 equals 2. This is the slope of your line.
1, 7 will be my x 2 and y 2 points for the second equation, and 3, 11 will be my x 1 and y 1 points for the second equation. (once again plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation) We get: (7 - 11) over (1 - 3). 7 minus 11 is -4, and 1 - 3 is -2. Now we have -4/-2. If you divide -4 by -2, you get positive 2, since a negative divided by a negative becomes positive. Therefore, any 2 points work to find the slope of a group of points.
What number is 5/9 of 10
Answer:
The answer is 5.5.
0.0556
5/9 ÷ 10 = 0.0556 in decimal form.
which of the following is a complex number?
Answer:
The complex number is B, [tex]3\sqrt{\frac{7}{5}}+\sqrt{-\frac{9}{5}}[/tex]
Step-by-step explanation:
A complex number should be written in the form [tex]a+bi[/tex], where a and b are real numbers, and i is an imaginary number.
Recall that [tex]\sqrt{-1}=i[/tex]. Since letter B has the second term [tex]\sqrt{-\frac{9}{5}}[/tex], we can say
[tex]\sqrt{-\frac{9}{5}}=\sqrt{-1\cdot\frac{9}{5}}=i\sqrt{\frac{9}{5}}[/tex]
Therefore, the number can be written as
[tex]3\sqrt{\frac{7}{5}}+i\sqrt{\frac{9}{5}}[/tex].
What is the value of the axis of symmetry?
y = 3x² + x
Answer:
[tex]x=-\dfrac{1}{6}[/tex]
Step-by-step explanation:
For a quadratic function in standard form [tex]y=ax^2 + bx + c[/tex], the axis of symmetry can be expressed as [tex]x=\dfrac{-b}{2a}[/tex]
For the equation [tex]y=3x^2+x[/tex]
[tex]a=3, b=1, c=0[/tex]
Therefore, the axis of symmetry is [tex]x=-\dfrac{1}{6}[/tex]
PLS HELP Find the area of the shaded region. PLEASE
Reason:
The parallelogram has area of A = base*height = 10*7 = 70 cm^2
The white rectangle has area of B = base*height = 3*2 = 6 cm^2
The shaded region has area of A - B = 70 - 6 = 64 cm^2
If you are curious why the rectangle and parallelogram use the same formula to get the area, notice how you can move that triangle on the left toward the right side so that a rectangle can be formed.
what is the significant figures in 9.7000
Answer:
its 5 my guy
Step-by-step explanation:
the output is 5 less than the input
Answer:
x - 5
Step-by-step explanation:
Let the input be x
Therefore, output = x - 5
Which of the following represents the factorization of the polynomial below?
X2 +9x+20
A. (x + 4)(x+5)
B. (x + 2)(x+10)
C. (x+12)(x+8)
D. (x +15)(x+5)
Answer:A
Step-by-step explanation:
HELP
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 −32 125
−1 −1 15
0 0 1
1 1 5
2 32 25
3 243 125
4 1024 625
Which statements are most likely true based on the given values?
Select each correct answer.
A. f(x) is a polynomial function.
B. f(x) is an exponential function.
C. g(x) is a polynomial function.
D. g(x) is an exponential function.
E. The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
F. The output values of g(x) will surpass those of f(x) as the input values continue to increase.
A . f(×)
IS POLYNOMIAL FUNCTION
or
E
the output of f(×) will remain greater than those of g(×) as input values continue to increase.
CORRECT ME IF I AM WHRONG.
THANK YOU.
Only option A, [tex]f(x)[/tex] is a polynomial function is the correct answer based on the table given.
PolynomialA polynomial is mathematical equation consisting of independent variables such that, for each value of the independent variable, the function have a unique value.
How to determine whether a function is a polynomial?As for uniques values of the variable [tex]x[/tex], the value of the function [tex]f(x)[/tex] is unique so, [tex]f(x)[/tex] is a polynomial function.
The function, [tex]g(x)[/tex] is not a function as it have equal values for two different values of the variable [tex]x[/tex].
Option E and F are incorrect as, we can see in the table that sometimes the value of [tex]f(x)[/tex] is more and sometime the value of the function, [tex]g(x)[/tex] is more.
Thus, only option A is the correct answer.
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need help plz
x+14/6+3=5
Answer:
-2
Step-by-step explanation:
Step 1- Subtract 3 from 5=2
Step 2- multiply 2 by 6 =12
Step 3- subtract 14 from 12 =-2
Step 4 plug in -2 and check your work
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
Enrique would make more interest than Linda in a year.
What is interest?Interest is the amount of money made from investing a particular amount over a period of time. It is given by:
I = PRT
Where P is principal, I is interest, R is rate and T is period.
For Linda in a year:
I =610 * 1.2% * 1 year = 610 * 0.012 * 1 = $7.32
For Enrique in a year:
I =590 * 3.9% * 1 year = 610 * 0.012 * 1 = $23.01
Enrique would make more interest than Linda in a year.
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Chelsea wrote several equations and determined that only one of the equations has exactly one solution. Which of these equations has exactly one solution?
4 (x + 3) = 7 x minus 6
4 (x + 3) + 8 = 4 x + 20
4 (x + 3) + 3 x + 7 x + 12
4 (x + 3) + 6 = 4 x + 9
Answer:
c
Step-by-step explanation:
I think
Answer:
It's A
Step-by-step explanation:
I got it right on edge
?????????????????????????????????????
Answer:
answer is mayonnaise duh
HELPPP! YOU'LL GET BRAINLIESTT!
Answer:
G
E
F
H
Step-by-step explanation:
I don't know what the parent function is. you did not specify that.
I guess it is f(x) = x² ?
anyway, x² is the prime example of a parabola, which simply opens upward and has the vertex (its minimum) at 0, 0.
now, g(x) is first of all multiplying this by -1.
that turns the original curve upside-down.
therefore, g(x) opens downward, and it has a maximum.
because of the mentioned upside-down action, this is a reflection across the x-axis.
the multiplication by 1/4 actually decreases the functional values compared to the basic x² curve, so the curve is below the x² curve and that means it stretches the original curve.
Find the area of ABC to the nearest tenth.
C=32°, a = 12.6 m, b = 8.9 m
A)118.9 m2
B)112.1 m2
C)59.4 m2
D)29.7 m2
Answer:
the answer is d) 29.7
Step-by-step explanation:
A right triangle has one angle that measures 15º. What is the measure of the other acute
angle?
Answer:
75°
Step-by-step explanation:
The sum of interior angles of a triangle is 180°Right angle = 90°Acute angle is an angle that measures less than 90°
Let x = unknown angle
Therefore, if a right triangle has one angle that measures 15°:
⇒ x + 15 + 90 = 180
⇒ x + 105 = 180
⇒ x = 180 - 105
⇒ x = 75°
[tex] \bigstar \underline\frak{Required \: Solution}[/tex]
[tex] \\ [/tex]
Given :-
Triangle is a right triangleOne angle of triangle = 15°[tex] \\ \\ [/tex]
To find :-
Left angle of triangle.[tex] \\ \\ [/tex]
So first you should know what is right triangle ?
A triangle which has one angle as 90° and other two angles are acute angle.
[tex] \\ [/tex]
So we get know that one angle of triangle is 90°
Now :-
[tex] \star \boxed{\angle 1 + \angle 2 + \angle 3 = 180\degree}[/tex]
Reason :-
Sum of angles of triangle is equal to 180°
Formula :-
sum = (no. of angles - 2) × 180°Sum = (3 - 2) × 180°Sum = 1 × 180°Sum = 189°[tex] \\ \\ [/tex]
Steps to find left angle :-
[tex] \\ [/tex]
[tex] \sf\dashrightarrow\angle 1 + \angle 2 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow90 + 15 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow105 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow\angle 3 = 180\degree - 105 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \bf\dashrightarrow\angle 3 = 75\degree[/tex]
[tex] \\ \\ [/tex]
.°. measurement of left angle is 75°
simplify using the order of operations. please show your math work step by step.
3. [2 + (12 - 2 . 4)] + 5
please help me
Answer:
23
Step-by-step explanation:
3 * [2 + (12 - 2 * 4)] + 5
~Multiply whats in parenthesis
3 * [2 + (12 - 8)] + 5
~Subtract whats in parenthesis
3 * [2 + (4)] + 5
~Add whats in brackets
3 * 6 + 5
~Multiply
18 + 5
~Add
23
Best of Luck!