Answer:
[tex]\boxed{-\frac{7}{12} }[/tex]
Step-by-step explanation:
[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]
→ Make both denominators the same
[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}[/tex]
→ Convert mixed number into improper fraction
[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}[/tex]
→ Do the -16 + 9 and leave 12 as the denominator
[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}=-\frac{7}{12}[/tex]
The required simplification o f[tex]-1\frac{1}{3} +\frac{3}{4}[/tex] into fraction form is -1 / 12
To simplify -1 1 / 3 plus 3 / 4 into fraction form.
The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions constituting the Whole. And it is represented as a / b, where a = numerator and b = denominator.
Since the given problem is
[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]
We need to simplified it into fraction form like a / b.
[tex]=-1\frac{1}{3}+\frac{3}{4} \\= -2/3 + 3/4[/tex]
= ( -8 + 9 ) / 12
= -1 / 12
Thus, The required simplification of [tex]-1\frac{1}{3} +\frac{3}{4}[/tex] into fraction form is -1 / 12.
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(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
What is the solution for x in 5x - 2 + 2x = 7x - 2?
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
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
which line contains both points P (-2, 3) and Q (-1, 2) ?
Answer: A is the answer
Step-by-step explanation: because nun of the other make sense
please help; i’m confused
Answer:
The values of k that make the given equation having imaginary roots are:
k < -18, or (-∞,-18).
Step-by-step explanation:
Nature of the Roots of a Quadratic Equation
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The expression:
[tex]d=b^2-4ac[/tex]
Is called the discriminant. The discriminant determines the nature of the roots of a quadratic equation as follows:
If d=0, there is only one real root.
if d>0, there are two different real roots
if d<0, there are two different imaginary (complex) roots
We are given the equation:
[tex]-2x^2+12x+k=0[/tex]
Comparing with the standard quadratic equation, we have:
a=-2, b=12, c=k
Calculating the discriminant:
[tex]d=12^2-4(-2)k[/tex]
[tex]d=144+8k[/tex]
If the equation has imaginary roots, then d<0, thus:
144 + 8k < 0
Subtracting 144:
8k < -144
Dividing by 8:
k < -18
The values of k that make the given equation having imaginary roots are: k < -18, or (-∞,-18).
Which of the following inequalities matches the graph?
answers:
x < 2
y > 2
y < 2
x > 2
Answer:
None of them but for the actual question on the picture it is x < -3
Step-by-step explanation:
Which number is equal to 17.75?
F. 1.775
G. 17.075
H. 17.750
I. 1.7750
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:
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
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
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
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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
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
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:
At a movie theater, the size of popcorn bags decreased 20%. If the old bags held 15 cups of popcorn, how much do the new bags hold?
Answer:
12?
Step-by-step explanation:
since this is a percent deal I would a simple trick
x/15 = 20/100
15 x 20 = 300
divide 300 by 100
that equals 3
15 - 3 = 12
Answer
12?
Step-by-step explanation:
since this is a percent deal I would a simple trick
x/15 = 20/100
15 x 20 = 300
divide 300 by 100
that equals 3
15 - 3 = 12
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
im going to self destruct lol
Answer:
noooooooooooo dont:(
Step-by-step explanation:
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
I JUST NEED 4 PLS!!!!!!
IM REDOING THIS SO THERE IS WRITING ON THE PAPER!!
I WILL MARK BRAINLIEST!
Answer:
C
Step-by-step explanation:
When doing 4 divided by 2 you get 2. Looking at the sign it is saying 3 is greater than the number we solve for. Since we solved and got 2 we can double check and ask is 3 greater than 2? Yes it is so that would make the statement correct.
Hope this Helps :)
The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−5, 4) and goes to Q(2, 4). It goes from Q to R(2, −2) and then to S(7, −2). What is the total length (in units) of the biking trail? WILL GIVE BRAINLIEST NEED ASAP WILL ALSO GIVE 5 STARS AND THANKS!!!!!!!!!! SOMEONE PLZ HELP I NEED THIS!!!!!!!!!!!!!!!!!!!!!!!!!
12
18
16
14
Answer:
18 units
Step-by-step explanation:
PQ= 7 units
QR = 6 units
RS = 5 units
its really not that hard..
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:
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
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.
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
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?
Find the distance between the two points rounding to the nearest tenth (if necessary).
(−2,2) and (−8,−6)
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
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?