Answers
9514 1404 393
Answer:
4^0
Step-by-step explanation:
The rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
So, your expression simplifies to ...
[tex]4^5\times4^{-7}\div4^{-2}=4^{5-7-(-2)}=\boxed{4^0}[/tex]
Related Questions
4x - 3y = 1
-8x + 6y = -2
Answers
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 3y = 1
-8x + 6y = -2
Step 2: Rewrite systems
-8x + 6y = -2
Add 8x to both sides: 6y = 8x - 2Divide 6 on both sides: y = 4/3x - 1/3Step 3: Redefine systems
4x - 3y = 1
y = 4/3x - 1/3
Step 4: Solve for x
Substitution
Substitute in y: 4x - 3(4/3x - 1/3) = 1Distribute -3: 4x - 4x + 1 = 1Combine like terms: 1 = 1Here we see that 1 does indeed equal 1.
∴ x = all real numbers/infinite amount of solutions
Step 5: Graph
Check the systems.
We see that the 2 equations are the same line.
1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment
of $25 per month. What is the rate of change, including units ?
Answers
Given:
Charlie bought a new computer for $450 with his credit card.
He plans to pay the minimum payment of $25 per month.
To find:
The rate of change.
Solution:
Let y be the remaining amount of loan after x months.
Initial amount of loan = $450
Payment of one month = $25
Payment of x months = $25x
Now,
Remining amount = Initial amount of loan - Payment of x months
[tex]y=450-25x[/tex] ...(i)
The slope intercept form is
[tex]y=mx+b[/tex] ...(ii)
where, m is slope and b is y-intercept.
From (i) and (ii), we get
[tex]m=-25[/tex]
Therefore, the rate of change is -25 dollars.
Write 1,054 thousand in standard form.
Answers
Answer:
1054
Step-by-step explanation:
1000+50+4
Of the 482 graduating seniors at Palmdale High School, approximately 5/8 are going to college, and approximately 1/2 of those going to college are going to an in-state school. Which of the following is the closest estimate for how many of the graduating seniors are going to an in-state school?
Answers
Answer:A
Step-by-step explanation:
trust
which set of factors matches theses partial products? 3x50=150. 3x7=21
Answers
Answer:
ye
Step-by-step explanation:
solve for z
4/z =
12/5
what is z
Answers
Answer:
5/3 = z
Step-by-step explanation:
You can use proportions to figure this out.
Imma solve this as I work through it.
So
4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.
Lemme clean this up for ya
The butterfly method involves multiplying in a cross format on both sides, so the
4 12
__ = ______
z 5
becomes 4 times 5, and z times 12.
4 times 5 is 20, and z times 12 is 12z
so you now have 20 = 12z
Lets simplify the equation by dividing by 4s
20 divided by 4 is 5 and 12z divided by 4 is 3z
so
5 = 3z
You can divide again
by dividing both sides
by
3
to get the unit rate of z.
It will be a fraction though
and it won't look pretty
but here it is:
5
__ = z
3
So
It is
5/3
Hope this helps
and hope you get a laugh out of this
yeeha
Find the lcm of 15,30 and 105
Answers
Answer:
210
Step-by-step explanation:
30=2•3•5
105=3•5•7
thus the lcm of 15, 30, 105 is 2•3•5•7=210
PLEASE HELP
(I'll give you stars)
SEE PHOTO for information on question
Answers
Answer:
11638 I think cause maximum is 310
Ms. Strauss fills gum and trinket machines in front of grocery stores. In the trinket machine, there tattoos and stickers. If Mrs. Strauss puts 25 tattoos and 45 stickers in a machine, what is the ratio of stickers to all of the trinkets in the machine
Answers
stickers:trinkets
45:70 = 9:14
3. Solve using mental math.
4y + 3 = 19
04
05
05.5
064
Answers
Answer:s
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP
Answers
Answer:
some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.
55.) A.9 B. 29
57.) SAS
Step-by-step explanation:
rationalize the denominator of 1 /√3
Answers
[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]
rationalize the denominator of 1/√3
[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]
[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]
HOPE IT HELPS YOU..
can y’all also explain the steps
Answers
Answer:
B. is your answer
Step-by-step explanation:
First you multiply both sides by "x" and you get
12x - 4 = 3x
now add 4 to both sides and you get
12x = 3x + 4
now subtract "3x" from both sides and you get
9x = 4
divide both sides by 9 and you get
x = 4/9
Geometry please help!!!!!!!?
Answers
Answer:
It is same as the length of YX =8 inches so the length of VW=8 inches
L1 and L2 are two straight lines. The origin of the coordinate axes is O. L1 has equation 5x + 10y = 8 L2 is perpendicular to L1 and passes through the point with coordinates (8, 6) L2 crosses the x-axis at the point A. L2 intersects the straight line with equation x = –3 at the point B. Find the area of triangle AOB. Show your working clearly.
Answers
Answer:
40 sq units
Step-by-step explanation:
[tex]5x + 10y = 8\\\Rightarrow y=\dfrac{8-5x}{10}\\\Rightarrow y=-\dfrac{1}{2}x+\dfrac{2}{5}[/tex]
Slope of [tex]L_2[/tex] is [tex]m_2[/tex]
[tex]m_1m_2=-1\\\Rightarrow m_2=-\dfrac{1}{m_1}\\\Rightarrow m_2=-\dfrac{1}{-\dfrac{1}{2}}\\\Rightarrow m_2=2[/tex]
[tex]L_2[/tex] passes through point [tex](8,6)[/tex]
[tex]y-6=2(x-8)\\\Rightarrow y=2x-16+6\\\Rightarrow y=2x-10[/tex]
Point at x axis where [tex]L_2[/tex] intersects is
[tex]0=2x-10\\\Rightarrow x=\dfrac{10}{2}\\\Rightarrow x=5[/tex]
Point [tex]A[/tex] of the triangle will be [tex](5,0)[/tex]
[tex]L_2[/tex] intersects line [tex]x=-3[/tex]. The point is
[tex]y=2\times(-3)-10\\\Rightarrow y=-6-10\\\Rightarrow y=-16[/tex]
The points of the triangle are [tex]A(5,0), O(0,0), B(-3,-16)[/tex]
Area of triangle is given by
[tex]A=\dfrac{|A_x(B_y-O_y)+B_x(A_y-O_y)+O_x(A_y-B_y)|}{2}\\\Rightarrow A=\dfrac{|5(-16-0)+-3(0-0)+0(0-(-16))|}{2}\\\Rightarrow A=40\ \text{sq units}[/tex]
The area of the triangle is 40 sq units.
Help please
Here is a triangular prism.
7.8 cm
16 cm
5.4 cm
Work out the volume of the prism in cm.
Give your answer correct to 3 significant figures.
Answers
Answer:
243cm^3
Step-by-step explanation:
By Pythagoras' Theorem,
height of the prism ^2 + 5.4^2 = 7.8^2
height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)
volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)
This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
PROBLEM. 11.1: Rewrite These! Rewrite each quotient as a sum or a difference.
1.(4x-10)/2
2. (1-50x)/-2
3. 5(x + 10)/25
4.(-0.2x + 5)/2
Answers
Answer:
1. (4x-10)/2
4x/2 - 10/2
2x - 5
2. (1-50x)/-2
1/-2 -50x/-2
25x - 1/2
3. 5(x + 10)/25
(5x + 50)/25
5x/25 + 50/25
1/5 x + 2
4.(-0.2x + 5)/2
-0.2x/2 + 5/2
-0.1x + 2.5
The re- representation is
1. (4x-10)/2
2. (1-50x)/-2
3. 5(x + 10)/25
4.(-0.2x + 5)/2
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
1. (4x-10)/2
= 4x/2 - 10/2
= 2x - 5
2. (1-50x)/-2
1/-2 -50x/-2
25x - 1/2
3. 5(x + 10)/25
(5x + 50)/25
5x/25 + 50/25
1/5 x + 2
4.(-0.2x + 5)/2
-0.2x/2 + 5/2
-0.1x + 2.5
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
Which expression is the additive inverse of 25?
Answers
Answer:it’s actually very simple it’s A.
Step-by-step explanation: anything that is below one is negative that’s how I got my answer.
Answer:the answer is A
Step-by-step explanation:i did the test
Miranda invited 117 guests to a charity event. Miranda is renting tables that seat 9 guests at each table. If each table costs $4 to rent, how much will Miranda spend to rent the tables?
Answers
Answer: $468.00
Step-by-step explanation:
-17 + 25 + -6 - 18 can you please show work too, thank youu
Answers
Answer:
-16
Step-by-step explanation:
-17+25+-6-18
you just basically combined -17,-6 and -18
so -41+25
= -16
What is the solution to the system: ax+y=18 and 4ax-y=12? Use elimination. Put the answer as an ordered pair. Show work on the next question. You have 3 unknowns and only 2 equations so you can have the variable "a" in your solution
Answers
Answer:
Ax=6
Y=12
Therefore a=6, x=1, y=12
Answer:
{([tex]\frac{6}{a}[/tex],12)}
Step-by-step explanation:
[tex]\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.[/tex]
[tex]5ax = 30[/tex]
[tex]x = \frac{6}{a}[/tex]
[tex]a(\frac{6}{a}) + y = 18[/tex]
6 + y =18→y=12
[tex]4a(\frac{6}{a}) - 12 = 12[/tex]
6 - 12 = 12 → 12 = 12 true x=[tex]\frac{6}{a}[/tex] y=12
Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.
Answers
Answer:
30 hours
Step-by-step explanation:
300 - 30
270/7.5
Without actually going through the solution process. we can say that the equation
|5x-6| =6x cannot have a negative solution. Why is this true?
Answers
A positive number divided by a positive number is positive and the sum of two positive numbers is positive, thus the solution would have to be positive.
13 is 26%of what number
120 is 30% of what number
Answers
Answer:
1. 50%
2. 400
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
(Here is an image if needed) :
Answers
Answer:
2 7/20
Step-by-step explanation:
-The sum of two numbers is less than 10
-If we subtract the second number from the first, the difference is greater then 3
Write a system of inequalities that represents this situation. Let f represent the first number and s represents the second number.
Type the answer below
Answers
Answer:
A and C r the answers
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
55.5 cents from 51 cents.
Answers
Answer:
[tex]\%Change = 8.8\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 51\ cents[/tex]
[tex]Final = 55.5\ cents[/tex]
Required
Determine the percentage change
Percentage change is calculated as;
[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]
[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]
[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]
[tex]\%Change = \frac{450\%}{51}[/tex]
[tex]\%Change = 8.8\%[/tex]
Hence, the percentage change is approximately 8.8%
Carol gets paid $10 per
hour to work as a lifeguard. This
weekend, she worked on both Saturday and Sunday. She
made a total of $80. Carol worked for 5 hours on Saturday.
For how many hours did she work on Sunday?
Let x = hours spent working on Sunday. Choose the equation and solution
steps that correctly represent this problem.
Answers
Answer:
3 hours
step by step explanation:
x + (10 x 5) = 80
Answer:
she worked 3 hours on sunday .Equation: 10 multiplied by x
Step-by-step explanation:
2/5x+y=3
Solve for y
Answers
-2/5x + 3 = y
That was easy
When twice a number is subtracted from 34, the result is 16. Find the number.
O A. 8
OB. 16
C. 12
OD. 9
Answers
Answer:
9
Step-by-step explanation:
34 - 16 = 18
18 ÷ 2 = 9
you're welcome! I'm a 6th grader btw!
Answer:
9
Step-by-step explanation:
34-2x=16
-2x=16-34
-2x=-18
2x=18
X=18/2
X=9
So the answer is 9.