Answer:
x= 14/9 = 1 5/9
Step-by-step explanation:
Use the distributive property to multiply 2 by 5x−3.
2(5x−3)−4=x+4
Subtract 4 from −6 to get −10.
10x−6−4=x+4
Subtract x from both sides
10x−10=x+4
Combine 10x and −x to get 9x.
10x−10−x=4
Add 10 to both sides.
9x−10=4
Divide both sides by 9.
x= 14/9
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The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 3 ounces of oil with 5 gallons of gasoline. How much oil would you use if you had 120 gallons of gasoline?
Answer:
120 gallons of gasoline needs 180 ounces of oil
Step-by-step explanation:
Since the label for the chain saw reads to mix 3 ounces of oil with 5 gallons of gasoline, it means we have a ratio of 3 ounces of oil to 5 gallons of gasoline. That is
3 ounces of oil = 5 gallons of gasoline
Using the the unity method, by dividing both sides by 5,
3/5 ounces of oil = 1 gallon of gasoline.
So, for 120 gallons of gasoline, we have
120 × 1gallon of gasoline = 120 × 3/5 ounces of oil
So, 120 gallons of gasoline = 60 × 3 ounces of oil
So, 120 gallons of gasoline = 180 ounces of oil
So, 120 gallons of gasoline needs 180 ounces of oil
Answer:
Try 15,360 gallons or it could be 15,360 oz. one of those I hope it helps a bit. I did 128 times 120 gl. witch gave me 15,360.
Step-by-step explanation:
Emily wants to buy new boots that cost $68. The sales tax rate in her city is 5%. What is the total cost for the boots?
Need help asap pic included
Answer:
3rd number line
Step-by-step explanation:
Dave's optometrist used medicine to dilate his eyes. Before dilation, his pupils had a diameter of 2.1 millimeters. After dilation, his pupils had a diameter of 6.3 millimeters. What was the scale factor of the dilation?
Answer:
Step-by-step explanation:
6.3 divided by 2.1 equals 3.
3 is the scale factor
Answer:
2
Step-by-step explanation:
I just took the quiz
Annabelle went rock climbing. The below graph is a model of her climbing as
time passes.
Answer the following questions about the graph:
a. What are the labels on each axis?
b. What is happening for the first 5 minutes of Annabelle's climbing session?
What is your reason for saying that?
c. When was Annabelle climbing fastest? How do you know?
d. What is happening from 5 to 7 minutes? What is your reason for saying
that?
Can y’all help me solve this two step equation?
1=x/3-5
Answer:
18
Step-by-step explanation:
Teacher asked us the question
Answer:1/2 i think
Step-by-step explanation:
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:
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3•3^-1
Show work plz!
Answer:
1
Step-by-step explanation:
Firstly we need to do the exponent,3^-1, which equals 1/3.
Now, we multiply 3 with 1/3.
3•1/3 =1
The function 56 – 4y = –5x can be used to determine the total amount of money in a coin jar, y, after money isadded for x days. What is the rate of change in dollars with respect to the number of days?
Answer:
$1.25 dollars per day added to the coin jar
Step-by-step explanation:
the given equation is: 56 – 4y = –5x
we can rewrite it:
4y = 56 + 5x
y = (56 + 5x) / 4
y = 14 + ⁵/₄x
the slope of the equation is ⁵/₄, which gives us how much money is added into the coin jar every day. We can write ⁵/₄ as 1.25 or $1.25 dollars per day added to the coin jar
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
will mark brainliest answer!! 50 points!! pls help!!
Ben shared his post with 2 friends. Each of them share the post with 3 friends a day.
a) write an exponential equation to show the growth of Ben’s social media post
Carter shares his post with 10 friends who each share the post with 2 friends a day
b) write an exponential function to show the growth of Carter’s social media post
Answer:
1. Ben
Let the number of days be x.
Let the total no. of shares be y
[tex]No.\ of\ shares\ on\ Day\ 0=2\\No.\ of\ shares\ on\ Day\ 1\ = 2*3\\No.\ of\ Shares\ on\ Day\ 2\ =\ 2*3*3\\No.\ of\ Shares\ on\ Day\ 3\ = 2*3*3*3\\No.\ of\ Shares\ on\ Day\ x\ =2*3^x\\As\ Total\ no.\ of\ shares\ = y\\y=2*3^x[/tex]
2. Carter
Let the no. of days be x
Let the total no. of shares be y
[tex]No.\ of\ shares\ on\ Day\ 0=10\\No.\ of\ shares\ on\ Day\ 1\ = 10*2\\No.\ of\ Shares\ on\ Day\ 2\ =\ 10*2*2\\No.\ of\ Shares\ on\ Day\ 3\ = 10*2*2*2\\No.\ of\ Shares\ on\ Day\ x\ =10*2^x\\f(y)=10*2^x[/tex]
help me plzzzzzzzzzzzzzz
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
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
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
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:
every five years in march, the populations of a certain town is recorded. In 1995, the town had a populations of 4,500 people. From 1995 to 2000, the population increased by 15%. From 2000 to 2005, the population decreased by 4%. What was the town's population in 2005.
Answer:
population= 4968
Step-by-step explanation:
15/100= 0.15
1+0.15= 1.15
1.15 x 4500= 5175
4/100= 0.04
1-0.04= 0.96
0.96 x 5175= 4968
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:
(−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]
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?
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
Choose yes or no weather the expression are equivalent
2(8f-5) and 10f-10
Step-by-step explanation:
I think the answer is no
Answer:
no
Step-by-step explanation:
once distributed, 2(8f-5) becomes 16f-10 which is not equivalent to 10f-10
(40, 3,000) and (60, 4,000)
find the slope of the line that passes through
Answer:
slope of the line is 50
Step-by-step explanation:
The slope of a line (gradient) is determined by the rise/run so
(y2 - y1) / (x2 - x1)
We simply substitute in our coordinates and solve. So:
(4000 - 3000) / (60 - 40)
= 1000 / 20
= 100/2 = 50
Gradient is 50
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
What is the slope of the line? 4x-1=3y+5
Answer:x7
Step-by-step explanation:
Answer:
The slope would be 4/3, found from the equation: y=4/3x-2
Step-by-step explanation:
4x-1=3y+5
Subtract the 5
4x-6=3y
Divide the 3
y=4/3x-2
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
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)
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.
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