3. The dollar amount d that Megan earns varies directly with the number of
hours h that she works. In her last paycheck, she earned $148.50 working
18 hours. If her next paycheck is $107.25, how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
148.5/18=8.25
107.25/8.25=13
Solving this system using substitution: 2x+6y=28/y=-5x
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and y? a Add the equations to eliminate x. b Multiply the equations to eliminate y. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.
Answer:
C should be the right one
Answer:
Write the points where the graphs of the equations intersect the x-axis
Step-by-step explanation:
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3
why is no one answering me me??? :(
Answer:
hewo
Step-by-step explanation:
i dont know- probably bc they don't want to
2 3/4 +1 1/4+3 1/2 
The arithmetic sequence ; is defined by the a i formula : a 1 =-4910 a i =a i-1 +8 Find the sum of the first 575 terms in the sequence.
Answer:
- 1,503,050
Step-by-step explanation:
Given that the sum of arithmetic sequence =
n/2[2a + (n-1)d]
Where;
n = 575
a = -4910
d = a i - a i-1 = 8
Substituting values;
575/2 [2(-4910) + (575 -1) 8]
575/2 [(-9820) + 4592]
= - 1,503,050
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
help :c!!!!!!!!!!!!!!!!!
Answer:
-4
Step-by-step explanation:
Use the formula y2-y1/x2-x1 to find the answer to a slope next time! :D
What is the answer using substitution X+(x-178)=676
Solve forn. (7^2)^4=n^8
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7/n-(8/7)=0
Step by step solution :
STEP 1:
8
Simplify —
7
The equation at the end of step
1:
7 8
— - — = 0
n 7
STEP 2:
7
Simplify —
n
The equation at the end of step
2:
7 8
— - — = 0
n 7
STEP 3:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : n
The right denominator is : 7
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 0 1 1
Product of all
Prime Factors 1 7 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
n 1 0 1
Least Common Multiple:
7n
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 7
Right_M = L.C.M / R_Deno = n
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7 • 7
—————————————————— = —————
L.C.M 7n
R. Mult. • R. Num. 8 • n
—————————————————— = —————
L.C.M 7n
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • 7 - (8 • n) 49 - 8n
——————————————— = ———————
7n 7n
The equation at the end of step
3
:
49 - 8n
——————— = 0
7n
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.
Here's how:
49-8n
————— • 7n = 0 • 7n
7n
Now, on the left-hand side, the 7n cancels out the denominator, while, on the right-hand side, zero times anything is still zero.
The equation now takes the shape :
49-8n = 0
Solving a Single Variable Equation:
4.2 Solve : -8n+49 = 0
Subtract 49 from both sides of the equation :
-8n = -49
Multiply both sides of the equation by (-1) : 8n = 49
Divide both sides of the equation by 8:
n = 49/8 = 6.125
One solution was found :
n = 49/8 = 6.125
Step-by-step explanation:
hope this helps...
The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
What is an algebraic expression?"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
What is exponent?"It refers to the number of times a number is multiplied by itself.""For non-zero real numbers a, b, c, [tex](a^b)^c=a^{b\times c}[/tex]"For given question,
We have been given an equation [tex](7^2)^4=n^8[/tex]
Consider an algebraic expression on the left side of the above equation.
[tex](7^2)^4[/tex]
Using the properties of exponents we can write it as,
[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]
So, given equation becomes,
[tex]7^8=n^8[/tex]
Since power is same, base of above exponents is equal.
⇒ n = 7
Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
Learn more about the exponents here:
https://brainly.com/question/12158740
#SPJ2
Marking brainliest!
In your own words, why does erosion mean?
Answer:
the process of being eroded by natural agents such as wind, water, ice, etc.
this process moves sediment or material from one place to another
Step-by-step explanation:
6Type the statement or reason the fits in each box. Write your answer as a list. For example: 1. Addition Property of Equality 2. X+5=y+5 3. Simplifying Choose from this word bank. - Subtraction Property of Equality - Division Property of Equality - Distributive Property of Equality - x + 1 = -4 - x = -5Immersive Reader (4 Points)
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given
[tex]-x + 1 = -4[/tex]
[tex]-x = -5[/tex]
Required
State which property is used
The word that describes the operation is; subtraction property of equality.
This property states that:
if [tex]x = y[/tex] then
[tex]x - a = y - a[/tex]
So, for the given equation:
[tex]-x + 1 = -4[/tex]
When the subtraction property of equality is applied
[tex]-x + 1 - 1 = -4 - 1[/tex]
[tex]-x = -5[/tex]
So:
(a) Subtraction Property of Equality is correct
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
help please I have too many points and I also need help on my math
Answer:
Complementary
x = 55
Step-by-step explanation:
Complementary angles add up to 90°, while supplementary angles add up to 180°.
In this situation, the two angles add up to 90° (the little box means that an angle is a 90° angle) So, the angles are complementary.
Now, we can write this equation.
x + x - 20 = 90
Simplify.
2x - 20 = 90
2x = 110
x = 55
Just in case, let's check the answer.
Substitute x = 55 into (x + x - 20 = 90)
55 + 55 - 20 = 90
110 - 20 = 90
90 = 90
This is true, so x = 55 is correct.
I hope this helps! Feel free to ask any questions!
What is the image of the point (-5,2) under a translation of a shift right three and down 4?
A. (-2,-2)
B. (-8,6)
C. (-9,5)
D. (-15,-8)
Answer:
A- (-2,-2)
Step-by-step explanation:
If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).
Hope this helped.
Need help will give brainlest please this practice test makes no sense need explanation
Answer:
D
Step-by-step explanation:
Well, I can tell the answer just by looking:
- The shape moved counterclockwise by one quadrant
- The shape got SMALLER
- Rotations go counterclockwise. So that's a 90 degree rotation.
- Shape gets smaller so it's dilated by a number less than 1. Dilate by 1/2
24 boys started a cycle racc and 18 of them
ended the race. What percentage of boys
ended the race?
ation owned
Please do a step by step so that i can show work.
Answer:
See this attachment...
The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books. The rest of the books in the order are math books how many books did the librarian order"
Answer:
180
or if your looking for math books then
48
Step-by-step explanation:
36+62=98
98+34=132
180-132=48
Answer:
180
Step-by-step explanation:
What is the length of AC
[tex]3(6 + 7) [/tex]
Answer:
39
Step-by-step explanation:
3(6+7)
=18+21
=39
or
3(6+7)
=3(13)
=39
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
15. Marley gets on an elevator on the 30th floor of a building. She goes up 6 floors to pick up a package then goes down 14 floors for a meeting. Write and simplify an expression to show what floor Marley is now on pls help
Step-by-step explanation:
The initial level is 30.
let the upward travel be +X and downward travel be -Y.
so the expression for her current level be ,
30+X-Y = 30+6-14= 22.
22 is her current level.
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
I need help pls and thank you
please help me solve this.
Answer:
X=7 X=-1
Step-by-step explanation:
4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.
(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those
X=7 X=1 equating those parenthesis to 0 gives you that
What is the radius of a cylinder with a volume of 60,750πcm3
and a height of 750cm
?
Answer:
60,000
Step-by-step explanation:
I may be wrong hope not.
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
Find the distance between A and B
Answer:
27
Step-by-step explanation:
You can easily find it by counting how much line are between point and and point B
there are 27 lines (including the line on point B)