Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=64/5
Decimal Form:
x=12.8
Mixed Number Form:
x=12 4/5
Write five different fractions that each simplify to two-fifths.
[This form is blank.]
Simplify the expression.
8k - 2(4 - 3k)
Answer:
14k-8
Step-by-step explanation:
8k - 2(4-3k)
distributive property
8k - 8 + 6k
add like terms
8k + 6k -8
14k - 8
14k - 8
If anyone will look for the value of k, k is 4/7 btw but the answer to simplify the expression would be 14k-8.
Answer
14k-8
Step-by-step explanation:
combine like terms
Can someone pls help me ASAP :/
Answer:
d
Step-by-step explanation:
...........
..........
correct ans is D
Choose the correct sign to compare the two fractions. Use the models to help. 1/3 shaded part of a column and the other column 5/6 shaded of a column
Answer: greater than or <
Step-by-step explanation:
It’s < on edgen. For the comparing unlike fractions using models section.
in quadrilateral jklm angle k is a right angle. is jklm a rectangle?
HELP PLSS ASAP
Answer:
no
Step-by-step explanation:
Answer:
Cannot be determined is the correct answer
Step-by-step explanation:
The sum of two numbers is 72, and their difference is 40. Find the numbers.
Answer:
56 and 16
Step-by-step explanation:
Set up equations!
x+y=72
x-y=40
You can solve for this by crossing out y as it becomes eliminated. You are left with 2x= 112. Then solve, so x= 56. Take 56 for x and plug it into one of the equations and solve for y. 56-y=40-----> y= 16. The numbers are 16 and 56.
Using a system of equations, it is found that the numbers are 16 and 56.
The numbers are unknown, so we are going to call them x and y.Their sum is of 72, thus:
[tex]x + y = 72 \rightarrow y = 72 - x[/tex]
Their difference is of 40, thus:
[tex]x - y = 40[/tex]
Since [tex]y = 72 - x[/tex]
[tex]x - (72 - x) = 40[/tex]
[tex]2x = 112[/tex]
[tex]x = \frac{112}{2}[/tex]
[tex]x = 56[/tex]
Then:
[tex]y = 72 - x = 72 - 56 = 16[/tex]
The numbers are 16 and 56.
A similar problem is given at https://brainly.com/question/24778333
Maggie claims that the function g(x) = - 4 is the inverse of the function of f(0) = 3a + 4.
Which statement provides a correct analysis of Maggie's claim?
Maggie's claim is correct because if you add 4 to g(x) and then multiply it by 3 you get
f(x)
Maggie's claim is correct because when g(x) is substituted into every occurrence of x
O in f(x), f(g(x)) = x, and when f(x) is substituted into every occurrence of x in g(x),
g(f(x)) = x
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of
O x in f(x). ; therefore, g(x) is not the inverse of f(x), f(g(x))=x-8; therefore, g(x) is not the
inverse of f(x)
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of
x in f(x), f(g(x)) = x; therefore, g(x) is not the inverse of f(x).
The inverse of a function reverses the operation of a function
The statement that provides the correct analysis of Maggie's claim is the following option;
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)
Question: The functions in the question are presented as follows;
[tex]g(x) = \dfrac{x}{3} - 4[/tex]
f(x) = 3·x + 4
Required:
The statement that provides a correct analysis of Maggie's claim
Solution:
The inverse of f(x) is found as follows;
y = 3·x + 4
[tex]x = \dfrac{y - 4}{3}[/tex]
Therefore;
[tex]f^{-1}(x) = \dfrac{x - 4}{3}[/tex]
The inverse of a function above was found by making x the subject of the
function f(x), therefore, when the inverse f⁻¹(x) is substituted into all
occurrence of x in f(x), we get x
However, when g(x) is substituted into every occurrence of x in g(x), we get;
[tex]f \left (g(x) \right) = 3 \times \left (\dfrac{x}{3} - 4 \right)+ 4 = x - 8 \neq x[/tex]
Therefore, the given function g(x) is not the inverse of the function f(x) and the correct option is as follows;
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)
Learn more about inverse of a function here:
https://brainly.com/question/4218791
Ethan bought 8 books for a total of $32. At this rate, what is the cost of 12 books?
Answer:48 dollars
32 divided by 8= 4 dollars each.
12 books multiply by 4 dollars a book to get 48 dollar.
Answer:
$48
Step-by-step explanation:
You take 32 divided by 8 and get 4. Now take that 4 times 12 and get 48. Which makes it so you get 12 books for $48 dollars.
Find the value of x when 6-3x= 5x-10x+20
Answer:
7
Step-by-step explanation:
Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $37,500. Their down payment is what percent of the purchase price? What percent of the purchase price would a $67,500 down payment be?
Answer: To find the percentage of the down payment to the purchase price, just multiply the down payment by 100 and divide the result by the purchase
i.e 15,000 x 100/ 150,000= 10%
Also for the second part, multiply the down payment by 100 and divide by the purchase price
i.e 67,500 x 100 / 150,000= 45%
Step-by-step explanation:
2•( 4 • 5 ) = (2 • 4 ) • 5 is an example of which property
1. Identity
2. Associative
3. Commutative
4. Inverse
Answer:
Communitive property of multiplication :)
Step-by-step explanation:
35% of the spectators at a baseball match are New York Yankees fan and the rest are Boston Red Sox fan. 30% of the fans in both teams are females. What person of the fans are both male and Boston Red Sox fan?
Answer:
Step-by-step explanation:
At a Baseball Match.
35% of spectators are New York Yankees fan
The rest are Boston Red Sox fan = 100 - 35% = 65%
30% of fans in both teams are females.
30% of 35% of spectators are New York Yankees fan = 0.105 females
30% of 65% of spectators are Boston Red Sox fan = 0.195 females
The number of males in New York Yankees fan = 1 - 0.105 females
= 0.895 males
The number of males in Boston Red Sox fan = 1 - 0.195 females
= 0.805 males
Write an equation that represents the function. (linear equations)
Answer:
y = 2x + 2
Step-by-step explanation:
First solve for the slope using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{8-2}{3-0}[/tex] = 2
Plug the slope into the slope intercept form equation y = mx + b
y = 2x + b
To solve for b, plug in any (x, y) point on the table.
2 = 2(0) + b
2 = b
Now you can plug the b value into your equation.
y = 2x + 2
Un inventor recibe ofertas de dos compañías por su tecnología y tiene que decidir cuál es la mejor oferta, tomando como punto de referencia su posibilidad de invertir al 14% anual. Oferta 1: $150.000 hoy y $200.000 dentro de 10 años. Oferta 2: $30.000 al final de cada uno de los próximos 10 años.
Answer:
La oferta 2 oferce el mayor valor final. Es la que debería ser aceptada.
Step-by-step explanation:
Dada la siguiente información:
Oferta 1:
$150.000 hoy y $200.000 dentro de 10 años.
Oferta 2:
$30.000 al final de cada uno de los próximos 10 años.
Tasa de interés= 14%
Para decidir cuál de las dos ofertas es mejor, debemos calcular el valor final:
Oferta 1:
VF= VP*(1+i)^n
VF= 150.000*(1,14^10) + 200.000
VF= $2.261.523,48
Oferta 2:
VF= {A*[(1+i)^n-1]}/i
A= cash flow anual
VF= {30.000*[(1,14^20) - 1]} / 0.14
VF= $2.730.747,83
WHat are 3 possible solutions for this inequality 2/3(6x-3)>6
Answer:
Step-by-step explanation:
2/3(6x-3)>6
4x-2>6
4x>8
x>2
Anything more than 2, so 3,4,5, etc
Q1. An airplane flies with a constant speed of 600 miles per hour. How far can it travel in 3 1/2 hours?
Q2. A minibus drives with a constant speed of 68 km/h. How long will it take to travel a distance of 102 kilometers?
pls fast I need the answers for these I swear I'll make you the brainliest.
Answer:
Q1. 1050 miles
Q2. 1h 30m
Step-by-step explanation:
Q1. 1h = 300 miles
3[tex]\frac{1}{2}[/tex]h = 3.5 × 300 miles
= 1050 miles
Q2. 68km = 1h
102km = [tex]\frac{102}{68}[/tex] × 1h
= 1.5h
= 1h 30m
PLS HELP find the values of x, y and z..pls
Step-by-step explanation:
8x-7+3x-11=180
11x-18=180
x=18
2y+23=4y+8
2y=15y=15/2
4y+8=3z²-5
y=15/2=> 30+8=3z²-5
43=3z²
z=±√(43/3)
Steven has obtained a $105,000 5/1 30-year ARM at 5%. During the first ...
Steven has obtained a $105,000 5/1 30-year ARM at 5%. During the first 3 years, he has an option of paying interest only. If he were to accept this offer,
what would his initial payment be?
O A. $437.50
O B. $756.92
O C. $563.66
D. $587.50
Answer:
hope that helps
Step-by-step explanation:
Hi I had the same question on my test and the answer is c or b
The solution is, The initial payment will be $437.50.
Here, we have,
given that, Steven has obtained a $105,000 5/1 30-year ARM at 5%. During the first 3 years, he has an option of paying interest only.
so, we get,
Steven has obtained a $105,000, 5/1 30-year ARM at 5%.
During the first 3 years, he has an option of paying interest only.
So, it is simple interest.
Simple interest is given as :
I = p*r*t/100
here, p = 105000
r = 5%
t = 30
Putting values in formula:
= $157500
As this is interest for 30 years or 360 months.
So, for initial interest we will divide the interest with 360.
$157500/360
≈$437.50
Therefore, the initial payment will be $437.50
To learn more on interest click:
brainly.com/question/29335425
#SPJ7
I'll give brainliest!!! I need help fast please I just need someone to check my answers!!! Don't respond if you don't know what you're talking about!!!
LOOK AT THE SCREENSHOT!!
Answer:
your correct
Step-by-step explanation:
:D
Teds basket contains five apples each weighing 7 1/4 oz Robin's basket contains 6 apples each weighing 6 1/2 oz whose basket is heavier and by now how much
Answer:
Robin's basket!
Step-by-step explanation:
Ted's
7 1/4 * 5 = 36 1/4
Robin's
6 1/2 * 6 = 39
Question 5 (1 point)
It is currently 84 degrees outside. If the temperature drops 2 degrees every hour, what equation
represents the temperature () after any number of hours (x)?
Answer:
[tex]T(x)=84-2x[/tex]
Step-by-step explanation:
Linear Modeling
The initial temperature outside is 84 degrees.
We are told the temperature drops 2 degrees every hour.
Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.
That drop is subtracted from the initial temperature to produce the linear model as follows:
[tex]\mathbf{T(x)=84-2x}[/tex]
This is the linear equation that represents the described situation.
Evaluate the expression 3 4/5 x − 2 1/2 for x = − 10
Answer:
- 81/2 or -40 1/2
Step-by-step explanation:
3 4/5 (-10)-2 1/2
Need help asap pic included
Answer:
3rd number line
Step-by-step explanation:
What is slope-intercept form ?
Answer:
that means it goes through the y axsis
Step-by-step explanation:
it is a y entercept sorry wrong thing
Answer:
It is y = mx + b.
m is slope, x is the number of times slope occurs, b is y intercept.
An example would be y = 3x + 4. The "+" could also be a "-".
Please mark me Brainliest, I need it to move onto the next level.
30/+240 = 50/ - 160
Answer:
false
Step-by-step explanation:
they are not the same answer so 30/240 = 50/-160 is false
A chef makes a fruit salad using pears and mangos. Pears and mangos each cost $2.25 per fruit. The chef buys x pears and y mangos. Which two expressions represent the chef's cost of making the fruit salad?
Answer:
P=2.25x-----------1
M=2.25y----------2
Step-by-step explanation:
Step one:
given data
we are told that the cost of pears= $2.25 each
and cost of mango= $2.25 each
Step two:
the chef bought x pears and y mangoes
let the total cost of pears be P
and for mango be M
P=2.25x-----------1
M=2.25y----------2
PLEASW HELP/ ILL MARK BRAINLIEST
Answer:
The other answer is right. I got it wrong.
Step-by-step explanation:
Answer:
The rate of change in graph b is greater than the rate of change in graph a
Step-by-step explanation:
The rate of change is slope. The rate of change in B is three, and the rate of change in A is 2.
Math homework. need help
Answer:
10 to the 3rd power!!!!
Answer:
10 with an exponent of 3 i believe.
Step-by-step 10^2 * 10 = 10^3
Donna earns $73.50 for 6 hours of gardening. Mac
earns $97.60 for 8 hours of gardening. Who earns more
per hour? How much more?
(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)
Answer:
[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)[/tex]
Remove parentheses: (a)=a
[tex]=-t^4-5t^3-10t^2+9t^3+3t^2-1[/tex]
Group like terms
[tex]=-t^4-5t^3+9t^3-10t^2+3t^2-1[/tex]
Add similar elements
[tex]=-t^4-5t^3+9t^3-7t^2-1[/tex] ∵ [tex]-10t^2+3t^2=-7t^2[/tex]
Add similar elements
[tex]=-t^4+4t^3-7t^2-1[/tex] ∵ [tex]-5t^3+9t^3=4t^3[/tex]
Thus, the equivalent expression in simplified form:
[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]