Use the number line to represent. -4 1/2 + 3 1/4. what is the sum?
Answer:
[tex]\displaystyle A+B=-\frac{5}{4}[/tex]
Step-by-step explanation:
The Number Line
Let's call
[tex]\displaystyle A=-4\frac{1}{2}[/tex]
[tex]\displaystyle B=+3\frac{1}{4}[/tex]
Both numbers are given as mixed fractions. Let's convert them to improper fractions:
[tex]\displaystyle A=-4\frac{1}{2}=-(4+\frac{1}{2})=-\frac{8+1}{2}=-\frac{9}{2}[/tex]
[tex]\displaystyle B=3\frac{1}{4}=3+\frac{1}{4}=\frac{12+1}{4}=\frac{13}{4}[/tex]
The decimal values are A = -9/2=-4.5, B=13/4 = 3.25
Now represent the points in the number line. See the image below
Finally, calculate their sum:
[tex]\displaystyle A+B=-\frac{9}{2}+\frac{13}{4}[/tex]
[tex]\displaystyle A+B=-\frac{18}{4}+\frac{13}{4}=\frac{-18+13}{4}[/tex]
[tex]\boxed{\displaystyle A+B=-\frac{5}{4}}[/tex]
4/9-3/12
ASAP plz and thank u
Answer:
7/36
Step-by-step explanation:
Answer: 7/36 or 7 out of 36
If g(x) = {(4, -5), (-3, 2), (-6, 1), (1,0)}, which set of ordered pairs represents
the inverse of g(x)?
O A. {(-5, 4), (2, -3), (1, -6), (0, 1)}
O B. {(-4,5), (3, -2), (6, -1), (-1,0)}
O C. {(5, -4), (-2,3), (-1,6), (0, -1)}
O D. {(4, -5), (-3,2), (-6, 1), (1, 0)}
Answer:
The inverse of g(x) is {(-5, 4), (2, -3), (1, -6), (0, 1)} ⇒ (A)
Step-by-step explanation:
To find the inverse of a function switch x and y
Example:
If f(x) = {(1, 2), (-4, 5), (0, 0)}
To find its inverse switch x and y in each ordered pair
The inverse of f(x) = {(2, 1), (5, -4), (0, 0)}
Let us do the same with our question
∵ g(x) = {(4, -5), (-3, 2), (-6, 1), (1, 0)}
→ Switch x and y coordinates in all ordered pair
∴ The inverse of g(x) = {(-5, 4), (2, -3), (1, -6), (0, 1)}
Look at the answer to find the correct choice
It is (A)
Answer:
A. {(-5, 4), (2, -3), (1, -6), (0, 1)}
Step-by-step explanation:
You are flipping the x and y values.
Christina is considering buying a new car with a sticker price of $23,599. Her credit union offers her
a three-year car loan at 5.99% annual percentage rate (APR) with 10% as a down payment What is
her actual present value? (after the down payment has been taken out)
Answer:11.99%
Step-by-step explanation:
The Actual present value is $85.74.
What is APR?Fees associated with the loan are not included in the interest rate. The cost of borrowing money each year, including fees, is stated as an annual percentage rate (APR).
We have,
Christina is considering buying a new car with a sticker price of $23,599.
Total cost = (107.25 x 79.95)/ 100
= $ 85.74
Another method.
The cost is 100%.
After tax = 100% + 7.25%
= 107.25% of 79.95
= $85.74
Learn more about APR here:
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Is the square root of 3,600 a perfect square?
Answer:
the answer is 60
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
If you calculate the square root of 3,600 it is 60 that makes it a perfect square.
60 x 60 = 3,600
three workers produce 1500 cans in 4 days. how many days can four workers produce 4000 cans?
a)11
b)10
c)9
d)8
1500 cans / 3 workers = 500 cans per worker.
1 worker makes 500 cans in 4 days.
4 workers x 500 cans = 2000 cans in 4 days.
2000 x 2 = 4000 cans, 4 days x 2 = 8 days.
It will take 8 days.
Help plz I’ll mark Brainliest
Answer:
0.46
Step-by-step explanation:
Describe the solutions inequalities.
Step-by-step explanation:
x greater than 9 AND x smaller than 9
x smaller than than 9 OR x greater than 9
x greater than or equal to 9 AND x smaller than or equal to 9
x smaller than or equal to 9 OR x greater than or equal to 9
I dunno if this is what you asked^^
please help me with this answer I am trying to get my highschool diploma
In a math chapter, students took two quizzes: Quiz A and Quiz F. Quiz A was fairly easy and nearly all of the students scored well. Quiz B was very difficult and nearly all of the students scored poorly. Describe the differences/similarities between the means and the standard deviations of the two quizzes.
Answer:
Some similaritys were they were both quizes everyone took and some differences are one was harder, students did better on 1 than te other and a similarity is they both effected a students grade.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
egregteg
If AB =6 , AE=12 and CE =18, what is the length of DE
Answer:
Step-by-step explanation:
it shows that each number is added by 6 so you would have to at 6+18 which would be DE=24
How much will the ticket cost
How many rooms will they need to reserve? How do you know?
How much will it cost for everyone to stay one night at the hotel?
If 1/3 of a pound of jellybeans is shared equally between 3 brothers, how many pounds of jellybeans each brother received
Answer:
1/9 lbs
Step-by-step explanation:
1/3 ÷ 3
covert whole number to fraction
1/3 ÷ 9/3
copy dot flip
1/3 × 3/9
3/27
1/9
For every 6 inches of height, Lashacha has an arm span of about 6.17 inches. If Lashacha is 6 ft 5 in. tall, predict the width of her arm span.
Answer: 79.18 inch.
Step-by-step explanation:
Given: For every 6 inches of height, Lashacha has an arm span of about 6.17 inches.
i.e. for each inch of height she has an arm span of = [tex]\dfrac{6.17}{6}[/tex] inches
Height of Lashacha = 6 ft 5 in.
1 ft = 12 inches
Then, Height of Lashacha = [6(12)+ 5] = 77 in.
So for 77 inch height she has arm span of [tex]\dfrac{6.17}{6}\times77=79.18\text{ inch}[/tex]
Hence, the width of her arm span = 79.18 inch.
Question 3 of 8 Solve the equation below. 6/x^2+2x-15+7/x+5=2/x-3
I assume the equation is
[tex]\dfrac6{x^2+2x-15}+\dfrac7{x+5}=\dfrac2{x-3}[/tex]
Notice that
[tex]x^2+2x-15=(x+5)(x-3)[/tex]
so to get each fraction to have a common denominator, we need to rewrite
[tex]\dfrac7{x+5}=\dfrac{7(x-3)}{(x+5)(x-3)}=\dfrac{7x-21}{x^2+2x-15}[/tex]
and
[tex]\dfrac2{x-3}=\dfrac{2(x+5)}{(x+5)(x-3)}=\dfrac{2x+10}{x^2+2x-15}[/tex]
So we have
[tex]\dfrac6{x^2+2x-15}+\dfrac{7x-21}{x^2+2x-15}=\dfrac{2x+10}{x^2+2x-15}[/tex]
Combine the fractions and put them on one side:
[tex]\dfrac{6+(7x-21)-(2x+10)}{x^2+2x-15}=0[/tex]
If x ≠ -5 and x ≠ 3, we can ignore the denominator, leaving us with
[tex]6+(7x-21)-(2x+10)=0[/tex]
[tex](6-21-10)+(7x-2x)=0[/tex]
[tex]-25+5x=0[/tex]
[tex]5x=25[/tex]
[tex]x=\dfrac{25}5=\boxed{5}[/tex]
Which benchmark would 45/50 round to?answer choices: 0, 1/2, 1?
Answer: 1
Step-by-step explanation: 45/50=90/100 which is closer to 1 than 1/2 or 0.
10 years from now, Orlando will be 3 times older then he is today. what is his current age?
Answer:
4
Step-by-step explanation:
The answer is 5. Five times 3 is 15. If Orlando is 5 years old now, in ten years he will be 15. If you need more help just comment hope this helped
I NEED help pls...............
Answer:
i think its -5,-5
Step-by-step explanation:
SORRY if its wrong
Answer:
The slope is 1/4
Step-by-step explanation:
Use rise over run.
To get to the point (4, -3) from (0,4)
You will have to rise 1, then run over 4.
Thus, slope is 1/4
3/4 - 7/9 + 2/3
work out the following please
Answer:
23/36
Step-by-step explanation:
1.
a.
Which of the following is a well-defined set?
A set of beautiful sceneries
b. A set of good basketball players
A set of Philippine Presidents
d. A set of successful leaders.
C.
Pls.
solve for the x in the equation
[tex]x + 3x + 5x + 7x + ...49x = 625[/tex]
Answer:
x=1
Step-by-step explanation:
x+3x+5x+7x+...+49x=625
(1+3+5+7+...+49)x=625 (1)
now consider s= 1+3+5+7+...+49
a=1
d=3-1=2
l=49
l=a+(n-1)d
49=1+(n-1)2
49-1=(n-1)2
48/2=n-1
n-1=24
n=24+1=25
s=n/2*(a+l)
s=25/2(1+49)
x=25/2×50
s=25×25=625
from (1)
625 x=625
x=625/625=1
Question
Complete the hypothesis about the product of two rational numbers.
Select the correct answer from each drop-down menu.
The product of two rational numbers is a rational
equivalent to the ratio of two integers
number
number because multiplying two rational numbers is
3 which is an irrational
The product of two rational numbers is a rational number.
What is a rational number?"A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator 'p' and a non-zero denominator 'q'."
Therefore, when we are multiplying two rational numbers, their product must be a rational number.
This is because, numerators of both rational numbers are integers and denominators of both the numbers are non-zero integers.
Hence, the product is a rational number.
Learn more about a rational number here: https://brainly.com/question/9466779
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if DM equals 34 what is the value of R
Answer:
is there anymore information or a pic you could put
I have 45 cents in nickels.
A nickel weighs 3 grams.
What is the total weight of my
nickels?
Answer:
135
Step-by-step explanation:
43 times 3 is 135
Evaluate the expression when x=3 , y=−4 , and z=−6. xyz=
Answer:
72
Step-by-step explanation:
xyz = 3 * (-4) * (-6) = 3 * 24 = 72
How do you solve (8x ^5) ^2
Answer:
64x^10
Step-by-step explanation:
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
___
Using the first rule, we have ...
(8x^5)^2 = (8^2)((x^5)^2) = 64(x^5)^2
Using the second rule, we have ...
=64x^(5·2) = 64x^10
Answer:
64x^10
Step-by-step explanation:
why do u keep on deleting this???
How many square meters ? please help i need an answer asap
Answer:
6335.55 millimeter squared, I think. Hope this helps.
Step-by-step explanation:
Jayla says that the equation y=2x-3 matched the graph. Substitute the ordered pairs from part c into the equation to prove that jayla is correct. (3,3)(4,5)(5,7)
Given:
Jayla says that the equation [tex]y=2x-3[/tex] matched the graph.
To prove:
Jayla is correct
Solution:
We have,
[tex]y=2x-3[/tex] ...(i)
The ordered pairs are (3,3), (4,5), (5,7).
We need to substitute the ordered pairs into the equation to prove that Jayla is correct.
For point (3,3), put x=3 and y=3 in (i).
[tex]3=2(3)-3[/tex]
[tex]3=6-3[/tex]
[tex]3=3[/tex]
[tex]LHS=RHS[/tex]
So, point (3,3) lies on the line [tex]y=2x-3[/tex].
For point (4,5), put x=4 and y=5 in (i).
[tex]5=2(4)-3[/tex]
[tex]5=8-3[/tex]
[tex]5=5[/tex]
[tex]LHS=RHS[/tex]
So, point (4,5) lies on the line [tex]y=2x-3[/tex].
For point (5,7), put x=5 and y=7 in (i).
[tex]7=2(5)-3[/tex]
[tex]7=10-3[/tex]
[tex]7=7[/tex]
[tex]LHS=RHS[/tex]
So, point (5,7) lies on the line [tex]y=2x-3[/tex].
All three point (3,3), (4,5), (5,7) satisfy the given equation.
Therefore, jayla is correct. Hence proved.
Find an equation of a line parallel to y=2x+4
and passing through the point (3, 4)
Answer:
sorry dont know
Step-by-step explanation:
Help! I’ll mark you brainly!! I need this answer ASAP!
2. What are some of the factors that have contributed to a decline in mail volume over the past decade?
3. Why are some lawmakers particularly concerned about postal delays this year? How has the postmaster general responded to those concerns?
4. What does Kevin Kosar mean when he says, “One of the reasons we’re able to get through this is that the post office is still operating”?
Answer:
2. The volumes of some types of mail, like ... factors, and tracking mail volume data at a more granular ... FCM volume has declined significantly over the last 15 years.
3. Washington — A slew of changes to the U.S. Postal Service ushered in by the new postmaster general coupled with the logjam on Capitol Hill on a deal that could provide the agency with a much-needed injection of cash has lawmakers sounding the alarm that mail delays could lead to missed deadlines for voters seeking to cast their ballots by mail. Postmaster General Louis DeJoy is emerging from ... DeJoy's administration has slowed delivery, removed.
4. Will it be able to handle millions of mail-in ballots in November's presidential election? ... 30 percent in the past decade, and that has meant it takes in far less money. ... “A lot of the stuff they do is not commercially viable ,” says Kevin Kosar