Mathematics High School

Add 11.25 and 0.03.

3 is repeating.

Answers

Answer 1
Alright, so we can do
11.25
+0.0333333
________
11.28333333333
For 0.03 (3 repeating), we can write that as 1/30. For 0.003 (3 repeating), it's 1/300. Therefore, we have 11.28+0.003=11.28 + 1/300

Related Questions

Of all numbers x and y whose sum is​ 50, the two that have the maximum product are xequals=25 and yequals=25. that​ is, if xplus+yequals=​50, then xequals=25 and yequals=25 maximize qequals=xy. can there be a minimum​ product? why or why​ not?

Answers

x + y = 50 

Q = x * y 

 

Combining the two:
Q = x * (50 - x) 
Q = 50x - x^2 
Q = -x^2 + 50x 
Q = -(x^2 - 50x) 
Q = -(x^2 - 2 * 25x + 25^2 - 25^2) 
Q = 25^2 - (x - 25)^2 
Q = 625 - (x - 25)^2 

So what we got is an equation for parabola with a vertex at (25 , 625) and it opens downward. We know that parabolas only have one critical value, so if x and y are unrestricted, then there's no minimum product.

 

 

Final answer:

No, there cannot be a minimum product. The product of two numbers is maximized when the numbers are equal or close to each other.

Explanation:

The student is asking if there can be a minimum product when x and y are numbers whose sum is 50 and we are trying to maximize the product xy. The answer is no, there cannot be a minimum product. This is because the product of two numbers is maximized when the numbers are equal or close to each other. In this case, when x = 25 and y = 25, the product xy is maximized at 625. If x and y were further apart, the product would be smaller.

Thus,

Q = x * (50 - x)

Q = 50x - x^2

Q = -x^2 + 50x

Q = -(x^2 - 50x)

Q = -(x^2 - 2 * 25x + 25^2 - 25^2)

Q = 25^2 - (x - 25)^2

Q = 625 - (x - 25)^2

-4(z-12)=42 how can I solve?

Answers

remember, you can do anything to an equation as long as you do it to both sides

-4(z-12)=42
you can distribute but it's easier to divide both sides by -4
z-12=-10.5
add 12 both sides
z=22.5
-4(z-12) = 42
First, we will get rid of the brackets by multiplying each term within the brackets by -4 as follows:
-4(z) - -4(12) = 42
-4z + 48 = 42
Then, we will isolate the term with the variable. To do so,we will simply subtract 48 from both sides as follows:
-4z+48-48 = 42-48
-4z = -6
Finally,we will get rid of the coefficient next to the variable by dividing both sides by -4.
The final result will thus be:
z = 3/2

Please answer the question please

Answers

The answer to ur problem is 1/3.

Help me with #16, and explain. Please

Answers

2a-9 +a = 90 degrees


3a -9 = 90

3a = 99

a = 33

angle GEF is 33 degrees

I need solve each system by substitution 4x+2y=7;y=5x

Answers

To solve the system if equations substitute the given values and simplify:

4x+2y=7
y=5x


To start off we are given what h equals already so we do not have to solve for it. This means we can just plug in its values into the first equation.

4x+2(5x)=7
Solve for x
4x+10x=7
14x=7
x=7/14
x=1/2

Now that we have an x value substitute back into the second equation to find the y value and be able to create a coordinate point.

y=5x
y=5(1/2)
y=5/2
y=2.5

So your answer would be
(1/2,5/2) or (0.5,2.5)

I hope this helps!
Final answer:

To solve the system of equations by substitution, substitute the value of y from the second equation into the first equation. The solution is x = 1/2 and y = 5/2 or 2.5.

Explanation:

To solve the system of equations by substitution, we substitute the value of y from the second equation into the first equation.

Given that y = 5x, we can substitute this value into the first equation:

4x + 2(5x) = 7

Simplifying the equation:

4x + 10x = 7

Combine like terms:

14x = 7

Divide both sides by 14:

x = 7/14

Simplify:

x = 1/2

Now substitute this value of x back into the second equation to find y:

y = 5(1/2)

Simplify:

y = 5/2 or y = 2.5

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Factor completely 3y^4 - 2y^2 - 5

Answers

3y^4 -2y^2 -5
(3y^2 -5)(y^2 +1)

Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67

summation of the quantity negative eight plus five n from n equals zero to fifteen

summation of negative forty times n from n equals zero to infinity

summation of negative forty times n from n equals zero to fifteen

summation of the quantity negative eight plus five n from n equals zero to infinity

Answers

-8 - 3 + 2 + 7 + ... + 67     hmm... so the first term's value is -8.  If you notice, it went from -8, to -3 and then +2 and so on.... you can always get the "common difference" d by simply getting the difference of two terms, so d = +2 -(- 3)  ----> d = +2+3  ----> d = 5.

now.. the last value is 67.. but what term is that anyway?

well, let's use the arithmetic sequence equation to see who that is.

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ a_1=-8\\ d=5\\ a_n=67 \end{cases} \\\\\\ a_n=-8+(n-1)5\implies 67=-8+(n-1)5 \\\\\\ 67=-8+5n-5\implies 67=-13+5n\implies 80=5n \\\\\\ \cfrac{80}{5}=n\implies \boxed{16=n}[/tex]

so, is the 16th term  alrite.. .hmmm, so it begins with -8, then keeps on adding 5 16 times

[tex]\bf \sum\limits_{n=1}^{16}~-8+(n-1)5\implies \sum\limits_{n=1}^{16}~5n-13[/tex]

both forms are the same, so.. hmm it depends on how simplified you need it.

Final answer:

Explanation of summation notation using examples and patterns for different expressions.

Explanation:

Summation notation:

First sum: The sum is calculated using the formula: Σ(-8 + 5n) from n = 0 to 15.

Second sum: The sum can be expressed as Σ(-40n) from n = 0 to ∞ (infinity).

Third sum: The sum is Σ(-40n) from n = 0 to 15.

Fourth sum: The sum is given by Σ(-8 + 5n) from n = 0 to ∞.

The ratio of men to women working for a company is 4 to 3 . if there are 39 women working for the company, what is the total number of employees?

Answers

There are 52 men SO 52+ 39 = 91 SO there are 91 total employees

the sum of 3 consecutive odd integers is 189. What are the three odd integers?

Answers

89/3 = 63

63-2 = 61

63 +2 = 65


61 +63 +65 = 189

What is the radius of Circle C?

Answers

The distance from the center C to the point on the circle B is the radius. 
radius = length of BC = x

Triangle ABC is a right triangle. The right angle (aka 90 degree angle) is at angle B as shown by the square marker. 

Because we have a right triangle, we can use the pythagorean theorem

(leg1)^2 + (leg2)^2 = (hypotenuse)^2
(AB)^2 + (BC)^2 = (AC)^2
(22)^2 + (x)^2 = (x+14)^2
484 + x^2 = x^2 + 28x + 196
484 + x^2-x^2 = x^2 + 28x + 196-x^2
484 = 28x+196
484-196 = 28x+196-196
288 = 28x
28x = 288
28x/28 = 288/28
x = 72/7
x = 10.285714

The exact value of x, as a fraction is 72/7
Using a calculator, the approximate value of x is roughly 10.285714

So the radius is exactly 72/7 units long. 
The radius is approximately 10.285714 units long.

Final answer:

The radius of a circle in Euclidean geometry is the distance from its center to any point on the circumference, and it can be calculated by dividing the circumference by 2π. In physics, the radius is also the radius of curvature for an object's circular path, determined by position data and the Pythagorean theorem.

Explanation:

In mathematics, especially in Euclidean geometry, the radius of a circle is a fundamental concept that refers to the distance from the center of the circle to any point on its circumference.

Referring to the examples provided, one method to find the radius (r) is by understanding the relationship between the circumference of a circle (C) and its radius. In a flat, Euclidean space, the ratio C/r is a constant 2π, where π (pi) is approximately 3.14159. Therefore, if you know the circumference, you can calculate the radius by rearranging the formula to r = C/(2π).

In one of our more practical examples, the radius of curvature is used in the context of circular motion. When dealing with the path of an object in a circular trajectory, the radius of the circle also represents the radius of curvature. For instance, using position data where x = 3 m and y = 4 m, we can use the Pythagorean theorem to find the radius, r = √(3² + 4²) = 5 m.

Understanding these principles is crucial in fields such as physics, where the radius is directly related to calculating velocities and accelerations in circular motions as seen with centripetal acceleration.

PLEASE HELP Which is the equation of a line that is parallel to the line represented by y=3/4x-1/2?

Answers

y=3/4x-1/2 has slope = 3/4
parallel lines have same slope, so new line has slope = 3/4

answer
A. y = 3/4x + 1/2 (slope = 3/4)

Solve the equation with rational exponents (x-4)^2/3= 9

Answers

The solution to the given expression is x = 31.

In order to simplify an expression with exponents of the same base, we would have to apply the properties of multiplication of exponents with the same base;

[tex](k^m)\cdot(k^{n})=k^{m+n}[/tex]

Based on the properties of roots of exponents, we have the following:

[tex]\sqrt[a]{x^b} =x^{\frac{b}{a} }[/tex]

By raising both sides of the given expression to the reciprocal of the exponent, we have:

[tex](x-4)^{\frac{2}{3} }=9\\\\((x-4)^{\frac{2}{3} })^{\frac{3}{2} }=9^{\frac{3}{2} }\\\\x-4=(9^{\frac{1}{2} })^{3 }\\\\x-4=(3)^{3 }\\\\[/tex]

x - 4 = 27

x = 27 + 4

x = 31

|4v-16|=12 solve for v

Answers

4v-16= 12
4v= 28
v=7

4v-16=-12
4v=4
v=1

Final answer: v=1, v=7

what's the pattern for 1,3,5,7,5,3,1,3

Answers

+2,+2,+2,-2,-2,-2,+2,+2,+2 etc

The pattern 1,3,5,7... represents odd numbers, as each number cannot be evenly divided by 2.

The correct option is (A).

The pattern 1,3,5,7... represents odd numbers. These numbers are considered odd because they cannot be evenly divided by 2. Every number in the sequence is one greater than an even number, which means adding 1 to an even number gives you an odd number. For instance, the number 1 is odd because 0 (an even number) plus 1 equals 1. Similarly, 2 (which is even) plus 1 equals 3, and so on. This pattern of numbers is used to represent all numbers that, when divided by 2, have a remainder of 1.

complete question given below:

The pattern 1,3,5,7... represents numbers.

A.odd

B.even

C.whole

Devonte used the change of base formula to approximate log8 (21). Which expression did Devonte use?

Answers

log25/log8 should be your answer

Answer:

[tex]log_8(21)=\frac{log21}{log8}[/tex]

Step-by-step explanation:

Given : Log expression [tex]log_8(21)[/tex]

To find : Write the expression using the change of base formula.

Solution :

Logarithmic change of base rule formula is

[tex]log_ab=\frac{log_eb}{log_ea}[/tex]

Now, using logarithmic rule in [tex]log_8(21)[/tex]

where a=8 and b=21

[tex]log_8(21)=\frac{log_{10}21}{log_{10}8}[/tex]

[tex]log_8(21)=\frac{log21}{log8}[/tex]

Therefore, The expression Devonte use [tex]log_8(21)=\frac{log21}{log8}[/tex]

Ten less the quotient of a number and 3 is 6

Answers

x/3 -10=6

Add 10 to both sides
x/3= 16

Multiply both sides by 3
x=48

Final answer: x=48

What is the expression x - 4 represents a negative integer. What integers could X represent?

Answers

The expression x-4 will come out to be a negative integer. That means X has to be something that when 4 is taken away from it, the answer is still negative.

Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.

X can be anything less than 4. 

Answer:

Integers between (-∞, 4)

Step-by-step explanation:

Negative Integer is integers whose value is less than 0 i.e. -1, -2, -3, -4,.... so on.

The expression x - 4 will be negative if x is less than 4.

For Example, if we take integers greater than 4 or equal to 4 as the value of x then,

5 - 4 = +1 which is not a negative integer

4 - 4 = 0 which is again not a negative integer.

But, if we take x as less than 4 then we get,

2 - 4 = -2 i.e. negative integer

-3 - 4 = -7 i.e. also negative integer.

So, for all value of x which is less than 4, we will get a negative integer.

|X+4|=4


|X+4|=-4

Plz help

Answers

|X+4|=4

x = 4-4 = 0


|X+4|=-4 no solution since the lines are absolute value which would be a positive number

All of the following are equivalent except 4 x y , 4 + y , 4y, (4)(y)

Answers

4 x y, 4y and  (4)(y) are equivalent 

except 

4 + y
4+y is not equivalent to the rest

4y=4*y. In algebra, when a number and variable are placed next to each other, it represents multiplication. This also applies to (4)(y), which is 4*y.

Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts.He Spent a total of $139.50.How much did the blazer cost?

Answers

Set up a system of equations.

6s+b=139.5
b=3s

Substitite for b
6s+3s=139.5
9s=139.5
s=15.5

Now multiply by 3 to get the blazer price
15.5*3= 46.5

Final answer: $46.50
6s + 3s = 139.50

s = 139.50 / 9 = $15.50

The blazer cost 3s  dollars = 3 * 15.50  =   $46.50  Answer

Mr. Delong's drama class is planning a field trip to see a Mozart's famous opera Don Giovanni. Tickets cost $39 each, and there are 23 students and 2 teachers going on the field trip. Write and evaluate an expression to find the groups total ticket cost.

Answers

Since it was not mentioned in the problem, we can safely assume that the costs of tickets for students and teachers are just equal. Let's denote this total cost as variable x. The equation for the total cost would be:

x = 39(2) + 39(23)
x = 78 + 897
x = $975

So, the total cost of tickets for all is $975.

The total ticket cost for Mr. Delong's drama class to attend Mozart's opera Don Giovanni, with 23 students and 2 teachers at $39 per ticket, is $975.

To calculate the total ticket cost for Mr. Delong's drama class field trip to see Mozart's opera Don Giovanni, we need to combine the number of students and teachers going to find out how many tickets in total need to be purchased. There are 23 students and 2 teachers, so that's a total of 25 people needing tickets. The cost per ticket is $39.

The expression to find the total ticket cost is (Number of Students + Number of Teachers) x Cost per Ticket, which translates to (23 + 2) x $39.

Doing the math: (25) x $39 = $975.

Therefore, the group's total ticket cost for attending the opera will be $975.

If f(x)= 3x - 1 and g(x) = x+2, find (f +g)(x)
A. 3x-3
B. 4x+1
C. 2x-1
D. 2x-3
Help Please

Answers

(3x-1)+(x+2)
3x+x-1+2
4x+1

If f(x)= 3x - 1 and g(x) = x+2, (f +g)(x) is 4x+1.

(3x-1)+(x+2)

=3x+x-1+2

=4x+1.

What are the operations of functions?

A function operation guidelines that are accompanied as a way to remedy functions. Learn the definition of a feature operation such as the guidelines for addition, subtraction, multiplication, and division.

What are the different types of functions?

One – one function (Injective function)Many – one function.Onto – function (Surjective Function)Into – function.Polynomial function.Linear Function.Identical Function.Quadratic Function.

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A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
A.5.6m/s
B.12.5m/s
C.20.8m/s
D.208m/s

Answers

It would be C-20.8m/s

What!!!?!?! Could someone help me with the first two I don't understand and it's due tomorrow

Answers

If said number is x, that means that twice (2 times) a number and 2x-7=13. Adding 7 to both sides, we get 2x=20 and by dividing both sides by 2 we get x=10. For 2, we see that the sum of a number and 6 is first priority, so we have (x+6)*7=-43. Dividing both sides by 7, we get x+6=-43/7. After that, we subtract both sides by 6 to get -43/7-6=x

How many subsets does set a have if the set a has 3 elements? 3 6 8?

Answers

Consider a set {a,b,c} 
The 8 subsets are { }, {a}, {b}, {c}, {a,b}, {a,c}, {b,c} and {a,b,c}. 
If a set has n elements, the number of subsets is 2^n.

This should help

Let's say Set A = {1,2,3}, Set A can have subsets of:

{1}, {2}, {3}, {1,2}, {1,3}, {2,3}

And so there is 6 subsets.

Ivan needs to memorize words on a vocabulary list for french class. he has memorized 30 of the words, which is two-thirds of the list. how many words are on the list

Answers

Set it up as a proportion
2/3=30/x

Then cross multiply to solve for x
Okay, so if 30 words it 2/3, we need to find how many words are in each 1/3.

30 divided by 2 (Since there are two thirds) = 15 words. 15 words in each of those 1/3 

So since each 1/3 has 15 words, and 30 words is 2/3, there us 1/3 still left. So add that 1/3 (15) to 30. 30+15=45. So, there are 45 words on the list.
Hope I helped :)

The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles

Answers

Given that the function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles, and that you have enough money to travel at most 20 miles.

The domain of a function is the set of possible values of x, given that the maximum number of miles you can travel is 20 miles, the domain of the function is from 0 to 20.

Domain = {x: 0 ≤ x ≤ 20}

The range of a function is the set of the possible values of the function.

For x = 0, y = 3.5(0) + 2.8 = 2.8
For x = 20, y = 3.5(20) + 2.8 = 72.8

Therefore, the range of the function is from $2.8 when no mile was covered and $72.8 when 20 miles was covered.

Therefore, range = {y: 2.8 ≤ y ≤ 72.8}

Answer:   Domain=   0[tex]\leq[/tex]x[tex]\leq[/tex]20

                Range=  2.8[tex]\leq[/tex]y[tex]\leq[/tex]72.8

Step-by-step explanation:

CREDIT:ANSWER ABOVE ME,HOPE THIS HELPS. Burrgh

A loaf of bread costs $1.79. how much would five loaf costs?

Answers

8.95, that's not including the possible tax

Answer:

8.95

Step-by-step explanation:

Because 1.79x5=8.95 You can look it up too

:)

Which distribution exhibits a negative skew?

Answers

Answer:

In PLATO the answer is B

Step-by-step explanation:

Notice that all of the values start high at 0 and gradually get lower until 8

Answer: took the test

Step-by-step explanation:

a pizza with a diameter of 24 inches is cut into 16 equal slices. to the nearest square inch, what is the area of each slice of the pizza?

Answers

Answer:

Area of each slice of pizza is 28.27 square inches.

Step-by-step explanation:

The formula calculating the area of circle is

A = π[tex]r^{2}[/tex] where r is radius ( half of the diameter )

A = [tex](12)^{2}[/tex]

A = 452.38934 [tex]inches^{2}[/tex]

pizza cut into 16 equal slices

Therefore 452.38934 ÷ 16 = 28.27433 [tex]inches^{2}[/tex]

So the total area of the pizza is 452.39 square inches and the area of each slices are 28.27 square inches approximately.

Answer:

About 28 in ^2

Step-by-step explanation:

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