Answer:
4 different waysStep-by-step explanation:
Given [tex]64^{-1} = \frac{1}{64}[/tex], we are told that the expression cam also be written as an integer raised to an integer power in other ways, the other ways are as shown below;
First way:
[tex](2^6)^{-1} = 2^{-6}\\2^{-6} = \dfrac{1}{2^6} \\Hence \ 64^{-1} = 2^{-6}[/tex]
Second way:
[tex](64)^{-1} = (4^3)^{-1}\\4^{-3} = \dfrac{1}{4^3} \\Hence \ 64^{-1} = 4^{-3}[/tex]
third way:
[tex](64)^{-1} = (8^2)^{-1}\\8^{-2} = \dfrac{1}{8^2} \\Hence \ 64^{-1} = 8^{-2}[/tex]
Therefore the expression [tex]64^{-1}[/tex] can also be written as [tex]2^{-6}, 4^{-3} \ and \ 8^{-2}[/tex].
The total number of different ways [tex]\frac{1}{64}[/tex] can be written including [tex]64^{-1}[/tex] is 4
5 1/6 divided by 7/10
(simplify and make a fraction)
Answer:
[tex]\frac{155}{21}[/tex]
Step-by-step explanation:
[tex]5\frac{1}{6} = \frac{31}{6}[/tex] Re-write the expression: [tex]\frac{31}{6}[/tex] ÷ [tex]\frac{7}{10}[/tex] 31/6 ÷ 7/10 = 31/6 × 10/7[tex]\frac{31}{6}[/tex] × [tex]\frac{10}{7} = \frac{310}{42}[/tex] 310/42 = 155/21I hope this helps!
How would you write 9^4 as an equivalent expression using a base of 3
Answer:
100000000
Solution:
9^4=6561
3^0=1
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
3^6=729
3^7=2187
3^8=6561
6561=(1×3^8)+(0+3^7)+(0×3^6)+(0^3^5)+(0×3^4)+(0×3^3)+(0×3^2)+(0×3^1)+(0×3^0)
100000000 with the base of 3
how to solve a variable?
Answer:
In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.
Step-by-step explanation:
16. For the the equation 4x+8 9x+3.
Explain the steps that were used to solve the equation below
4X + 8 9X+3
4x + 5 = 9x
5 = 5x
1 = X
4X + 8 9X+3 (this is the equation, nothing to explain in this step)
4x + 5 = 9x (you combine or subtract the like terms, 8 - 3 = 5)
5 = 5x (you do 9x - 4x = 5x, subtracting the like terms)
1 = X (your answer after dividing 5 from both sides)
two fourth-degree polynomials are multiplied together. what is the degree of the product?
Answer:
The product of a fourth degree polynomial and a third degree polynomial is a 7th degree polynomial (just add the two degrees). Why is this the case? Remember, when you multiply variables with common bases, you add the exponents. Since the degree of a polynomial is just the largest exponent, you're really just adding the degrees when you multiply
A dozen donuts cost 6.00. How much sould 3/4 of a dozen cost at the same rate
Answer: Should cost 4.50
Step-by-step explanation:
Because a full thing is 6 dollars, if you divide 6 by 4 you get 1.5 causing each 1/4 to be 1.5 dollars. 1.5X 3 is 4.5
WILL GIVE BRAINLIEST. To who ever believes this.
SLOPE IN MATH IS MEANT TO TORTURE OUR MINDS.
Write the factors of a2-b2.
what is 7(-h -3) = -3(-h+4) what does it equal
Answer: 4
Step-by-step explanation:
Solve the system by substitution.
x+y=3
y=x? -5x -5
-
A grocery store steak sells $6.00 per pound. What would be the cost of 2.6 pounds of steak?
Lesson 8 Application Problem sol
ORVOS UNITS
Organic whole wheat flour sells in bags weighing 2.915 kilograms.
How much flour is this when rounded to the nearest tenth? Use a place value chart and
number line to explain your thinking
Helpppp
In which set are all fractions equivalent to - 2/3?
Answer:
-0.66666
Step-by-step explanation:
-2/3= -0.6666
A rectangular fish tank is 60.00 cm long, 200.00 mm wide, and 200.00 m deep.
a) what volume of water can it hold?
b) what is the mass of the water?
Answer:
Step-by-step explanation:
You will add 200.00+200.00 that will give us 400.00+60.00= 460.00
When the movie is half over, popcorn sells for half price. Which expression can be used to determine the new cost for 3 orders of popcorn and 3 drinks?
Answer:
A
Step-by-step explanation:
Answer: 3[1/2(3.50)+1.35]
a cell phone company charges 60.00 a month
Answer:
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes uses and c represents the total charges at the end of the month, Option C = 60 + 0.05d is the linear equation that can be used to determine a user's monthly bill.
Step-by-step explanation:
hope this help ;)
Which statement can you conclude from the given information?
Given: Points A and B are equidistant from points I and K.
A - IAK is a right triangle.
B - B is the midpoint of IK
C - AB Bisects and is perpendicular to IK
D - BK = AK
Mary needed to simplify 7x + 5 + 2(3x -5). Which of the following is her next line in the problem?
Answer:
13x - 5
Step-by-step explanation:
7x + 5 + 2(3x -5)
~Distribute
7x + 5 + 6x - 10
~Combine like terms
13x - 5
Best of Luck!
brainliest plz helpppppp
4.5-3(x+2.7)=7(8.1-4x)
-t(-4t^3+8t^2)=
PLZZ I NEED HELP ASAP ITS WORK FOR KHAN ACADEMY AND I HAVE 6 ASSIGNMENTS TO DO
If your travel 1000 miles in 10 days, how
many miles did you travel per day on
average?
Answer:
you would travel 100 miles per day
the solution set of coordinates y 1/2x+5
Answer:
2.3inches
Step-by-step explanation:
Which is defined using the undefined terms point and line?
A) angle
B) circle
C) parallel lines
D) ray
Answer:
i would say circle cause there no evan lines angles or points in it
Step-by-step explanation:
The object which is defined using undefined terms of points and lines is option D)
D) Ray
Reason for electing the above option is as follows;
Undefined terms are terms that are not required to be given formal definition in them selves and they include the terms set, plane, line, and point
A point is a dimensionless marker of position and it is indicated in geometry by a capital letter. In geometry, a point is the most elementary entity
A line is an infinitely long and straight geometric object that is defined and named by any two points located on it
A ray is a subset of a line that extends long straight infinitely in one direction, and has a starting point
Therefore, the geometrical object defined by a point and a line is a ray and the correct option is option D)
Learn more about definition of geometric objects here;
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https://brainly.com/question/17699939
One week, Grace earned $136.80 at her job when she worked for 8 hours. If she is
paid the same hourly wage, how much would she make the next week if she worked
15 hours?
Answer:
2,054
Step-by-step explanation:
all you have to do is multiply
Answer:
2,054
Step-by-step explanation:
An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to find the amount of the markup?
48 dollars (0.55)
48 dollars (55)
48 dollars (0.55) + 48 dollars
48 dollars (55) = 48 dollars
Answer:
The answer is 48(0.55) x 48
Step-by-step explanation:
wholesale $48 and sold at 55% which is the same as 0.55 then multiply wholesale by percent
Mark me as brainlest plz!!!!!
Answer: c
Step-by-step explanation: Just answering so you can mark the other person brainliest :)
is 5.97 a rational number? This assignment is graded so i need help
Answer:
this is not a rational number
Step-by-step explanation:
cause you cant put it as a fraction
Answer:
Yes.
Step-by-step explanation:
Because it can be written as a fraction:
5 .97 = 5 97/100 or 597/100.
There are 128 pens in a full box.How many pens are in 35 full boxes?
Answer:4,480
Step-by-step explanation:
You multiply 128x35
The length of an American flag is 1.8 times its width. What is the
width of the flag?
length=10
Answer:
5.56 or put [tex](5 \frac{5}{9})[/tex]
Step-by-step explanation:
length = 1.8* width
if the length is 10 , we solve like this :
10 = 1.8* width
10/1.8 = width
width = 5.555.... [tex](5 \frac{5}{9})[/tex]
to 3 sf
width = 5.56
Parallel line geometry
==========================================================
Explanation:
See the diagram below. I've extended one of the rays to form a full line. This is shown in red. The alternate interior angles 60 and x are congruent due to the parallel lines, so x = 60.
We can then find angle y
x+y+20 = 180 ... angles of a triangle add to 180
60+y+20 = 180
y+80 = 180
y = 180-80
y = 100
Use this to find z
y+z = 180
100+z = 180
z = 180-100
z = 80
Or you could use the remote interior angle theorem
x+20 = z
60+20 = z
80 = z
z = 80
Suppose that a factory manufactures only tables and chairs and that the profit on one chair is $15 and on the table is $20. Each chair requires 1 large piece and 2 small pieces. Each table requires 2 large pieces and 2 small pieces (see Figure 1 below). Finally, suppose that you have only 6 large pieces and 8 small pieces. How many chairs and how many tables should you build to maximize profit? Write a system of equations using inequalities and constraints
Answer:
The data we have is:
Profit per chair = $15
Profit per table = $20
Chair needs: 1 large pice, 2 small pieces.
Table needs: 2 large pieces, 2 small pieces.
You have 6 large pieces and 8 small pieces, and you want to maximize the profit.
Let's define:
T = # of tables
C = # of chairs.
Total profit:
P = C*$15 + M*$20
The number of chairs that you can make is given by:
0 ≤ C ≤ 4
If you make 4 chairs, the profit is:
P = 4*$15 = $60
And there will be 2 large pieces left.
Now for the tables.
0 ≤ T ≤ 3
If you make 4 tables, the profit will be:
P = 3*$20 = $60 (same as before)
And there will be two small pieces left.
Then we want to use a medium number of tables and chairs, we can not use the maximum for any of those, the first thing we should try is:
we ideally would want to use all the pieces that we have.
8 small, 6 large:
Then we can make:
2 tables: we use 4 large pieces and 4 small pieces.
T = 2
And we have left 2 large pieces and 4 small pieces.
The leftover is enough to make two chairs.
C = 2.
In this case, where we used all our materials, the profit will be:
P = 2*$15 + 2*$20 = $30 + $40 = $70
The profit is maximized when we make 2 tables and two chairs.
