The sides of a triangle are (x+3), (x+4), and (x+7). Find the value of x if the perimeter of the triangle is 104
inches.
Answer:
x = 30
Step-by-step explanation:
The perimeter is the sum of all of the sides of a shape. Therefore, because the sum is equivalent to 104 inches and we are given the lengths of all three sides, we can add the three sides together and set them equal to 104 in order to solve for x.
(x + 3) + (x + 4) + (x + 7) = 104 Drop the parentheses.
x + 3 + x + 4 + x + 7 = 104 Combine like terms (variables first!).
3x + 3 + 4 + 7 = 104 Now, combine constant terms.
3x + 14 = 104 Subtract 14 from both sides.
3x = 90 Divide by 3 on both sides of the equation.
x = 30
Q: Is there a relationship between the sum of each pair of integers and the distance between them? If so, explain.
A: No
I don't know if this is right but I just put this because no one answered this question. Hope this helps someone! :)
Answer:
No, there is no relationship
Step-by-step explanation:
Since there are no pairs of integers, I will give a general answer.
The distance between any two numbers is the absolute value of their difference.
For example we need a distance between numbers of x and y, then we just subtract them in any order and take absolute value of it:
d= | x - y |or
d = | y - x |There is no relationship between the sum of the numbers.
It would make sense only in case one of the numbers is zero. Then the sum or difference would be same.
I need help in solving this equation.
5n - 4 = 4 + 6n
Answer:
n=-8 use simple algebra n=x
Step-by-step explanation:
Answer:
-8 = n
Step-by-step explanation:
5n - 4 = 4 + 6n
Subtract 5n from each side
5n-5n - 4 = 4 + 6n-5n
-4 = 4 +n
Subtract 4
-4-4 = n
-8 = n
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST
Last year, Gena's food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how
much Gena's business is currently in debt? Check all that apply.
225(3)
(3)(-225)
0-225 + 3
03-225
-225(3)
Answer:
Hey there!
The correct options are 3(-255) and -255(3)
A positive number times a negative number equals a negative number. We know that she has debt, which means she owes money. Thus, the money has to be negative.
Let me know if this helps :)
Answer:
225(3)
Step-by-step explanation:
How to write 8,409,120 in words form
eight million four hundred nine thousand one hundred twenty
Answer:
eight million, four hundred nine thousand, one hundred twenty
Step-by-step explanation:
Sal purchase b bowls fr $7.50 and paid $15 for shipping. The total cost of Sals purchase was $75. How many bowls did he buy?
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
What is the factored form of 25b^2 -60b+36
Answer:
(5b-6)^2
Step-by-step explanation:
by using formula
(a-b)^2 = (a)^2 - 2(a)(b) + (b)^2
by putting values in the above formula
(5b)^2 - 2(5b)(6) + (6)
(5b-6)^2 answer
Answer:
(5b - 6)(5b - 6)
Step-by-step explanation;
25b^2 - 60b + 36
=> (5b)^2 - 2 × 5b × 6 + (6)^2 [Using (a + b)^2 = a^2 + b^2 + 2ab]
=> (5b - 6)^2
=> (5b - 6)(5b - 6)
Write the Name
of each decimal place
as indicated
49) 71, 999
how do i name each decimal
place
Answer:
9-ones
90-tens
900-hundreds
1000-thousands
70000-tens of thousands
Step-by-step explanation:
Decimal places means the place the number is representing.
Decimal places are in ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, etc
You first begin with the last number and the last number is in ones,then you move to the second number from the last which is in tens then it follows in that sequence.
what is the largest number we counted to.
Answer: The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.
Explanation: The largest known prime number (as of August 2020) is 282,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.
Hope this helps^^
Stephon is buying some snacks for his siblings at a convenience store. He wants to buy at least 6 items, but he has only $12 in his pocket. One bag of chips costs $2.25, and one candy bar costs $1.50. Which graph represents the number of bags of chips and candy bars Stephon can buy?
Answer:
Stephon can buy total 4 chips bag and 2 candy bar
Given as :
The money which Stephon has in his pocket = $ 12
The cost of one chips bag = $ 2.25
The cost of one candy bar = $ 1.50
The total number of items he can buy = 6
So, Let the number of chips bag he can buy = x
∴ The number of candy bar he can buy = 6 - x
Now, according to question
The number of chips bag×The cost of one chips bag + The number of candy bar×The cost of one candy bar = $ 12
Or, x × $ 2.25 + (6-x) × $ 1.50 = $ 12
Or, x × $ 2.25 + 9 - x × $ 1.50 = $ 12
or, x × $ 0.75 = 12 - 9
or, x = = 4
The number of chips bag he can buy = x = 4
And The number of candy bar he can buy = 6 - x = 6 - 4 = 2
Hence Stephon can buy total 4 chips bag and 2 candy bar .
The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours.
Answer:
C = 18h
Step-by-step explanation:
y = mx + b
C (total cost) is equivalent to "Y"
18 is equivalent to "m"
h is equivalent to "x"
and there is no "b" in this situation.
I hope this helps!
-TheBusinessMan
The vertex of angle ABC is ___ A, B, or C
Answer:
B
Step-by-step explanation:
The vertex is always in the middle.
Consider the function f(x) = x^2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = √ x - 331 .
Which statement describes whether Chivonne is correct?
A) The expression for f–1(x) is correct, but the domain restriction is not.
B) The domain restriction is correct, but the expression for f–1(x) is not.
C) Both the expression for f–1(x) and the domain restriction are correct.
D) Neither the domain restriction nor the expression for f–1(x) is correct.
Answer:
The correct option is;
D) Neither the domain restriction nor the expression for f⁻¹(x) is correct
Step-by-step explanation:
The given function can be written as follows;
f(x) = x² - 331
The inverse of the function f(x), which is f⁻¹(x), can be found as follows;
Let f(x) = x² - 331 = y, we have;
f(x) + 331 = x²
x = √(f(x) + 331)
We replace x with f⁻¹(x) and f(x) with x, to get;
f⁻¹(x) = √(x + 331)
We note that the domain of the inverse function will include values from x ≥ -331, and the correct inverse function √(x + 331) ≠ √x - 331
Therefore, we have that neither the domain restriction nor the expression for f⁻¹(x) is correct.
Answer:
B) The domain restriction is correct, but the expression for f–1(x) is not.
The ANSWER IS NOT C as "oeerivona" stated
Step-by-step explanation:
The answer is B on Edge. (VERIFIED Edge Answer)
Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.
Edge Tip: Answers do not mix or change.
If a = 9 and b = 4, what is the value of 2a – b?
A
10
B
B
14
25
D
72
Answer:
Hey there!
2a-b
2(9)-4
18-4
14
Let me know if this helps :)
Answer: 14
Step-by-step explanation: It’s a good idea to get into the habit of
using parentheses when substituting numbers in for variables.
Since a = 9 and b = 4, 2a - b is 2(9) - (4).
Now think about your order of operations.
Multiplication comes before subtraction so first multiply 2(9) to get 18.
So we have (18) - (4) which is 14.
1. Your mother said you could have new carpeting in your room if you compute
the amount of carpeting needed and the cost. The length of your room is 18.5
feet and the width is 17 feet. The cost of a medium grade of carpeting is $20 per
square yard.
a. How much carpeting will you need for your room?
b. How much will it cost to recarpet your room?
Answer:
A) 34.94444 square yards
B) $698.89
Step-by-step explanation:
17x18.5=314.5 square feet
314.5÷9=34.94444 square yards
a) 34.94444 square yards
34.94444x20=698.8888
b) $698.89
carlos saw poster below at the mall advertising the opening day of the new video game arcade
Jojo's arcade grand opening first 3 games free 75 cents after three games if carlose saved up 9.00 dollars from his allowance how much games could he play
Answer:
Carlos could play a total of 15 games
Step-by-step explanation:
In the grand opening of JoJo's arcade:
First 3 games are free
75 cents after the first 3 free games
Carlos has $9 saved from his allowance
75 cents = $0.75
Number of games Carlos could play = Total saved allowance / cost per game after 3 free games
= $9 / $0.75
= 12 games
Total number of games Carlos could play = free games + games from his allowance
= 3 + 12
= 15 games
Carlos could play a total of 15 games
Inverse Function -5 + 5/2x
Answer:
y = (2/5)x + 2
Step-by-step explanation:
To find the inverse of a function, we simply exchange the variables x and y and solve for y.
For this function we will write it as such:
y = -5 + (5/2)x
So to find the inverse, we will swap the x and y and solve.
y = -5 + (5/2)x
x = -5 + (5/2)y
x + 5 = (5/2)y
(2/5) * (x + 5) = y
(2/5)x + (2/5)5 = y
(2/5)x + 2 = y
Thus the inverse of the function is:
y = (2/5)x + 2
Cheers.
Solve for x:
2x +3=9
Answer:
x=3
Step-by-step explanation:
2(3)+3=9
6+3=9
9=9
Answer: [tex]x=3[/tex]
Subtract 3 from both sides
[tex]2x+3-3=9-3\\2x=6[/tex]
Divide both sides by 2
[tex]2x/2=6/2\\x=3[/tex]
A totem pole that is 90 feet tall casts a shadow that is 45 feet long. At the same time, a 6 – foot tall man casts a shadow that is x feet long. Find the length of the shadow.
Answer:
x=90+45/6
x=135/6
x=22.5
The length of the shadow of the 6-foot tall man is 3 feets
Actual Length :
Length of pole = 90 feets Length of man = 6 feetsLength of shadow :
Pole shadow = 45 feets Shadow of man = xUsing the relation :
(Pole length/shadow) = (man's height / shadow) (90 / 45) = (6 / x) Cross multiply :90x = 270x = 270 / 90 x = 3Therefore, the shadow of the man is 3 feets long.
Learn more : https://brainly.com/question/18112348
"Three times the sum of a number and 10 is 24
It is 72 because 24 * 3 = 72. The Number is 14
PLEASE HELP!!
1y+14=-4y+9 for y. Round your answer to the nearest tenth.
Answer:
y = -1.0
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 4y and subtract 14 from both sides:
1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)
1y + 4y = 9 - 14
Combine like terms:
5y = -5
Isolate the variable, y. Divide 5 from both sides:
(5y)/5 = (-5)/5
y = -5/5
y = -1
y = -1 is your answer.
~
-7x+y 3+7x^3 +6x−3y^3−2x^3 +3x
[tex]\circ\sf\:-7x+y^3+7x^3+6x-3y^3-2x^3+3x[/tex]
[tex]\circ\sf\:(-7x+6x+3x)+(y^3-3y^3)+(7x^3-2x^3)[/tex]
[tex]\circ\sf\:(-7x+9x)+(-2y^3)+(5x^3)[/tex]
[tex]\circ\sf\:2x-2y^3+5x^3[/tex]
[tex]\circ\:\underline{\boxed{\bf{\blue{x(2-5x^2)-2y^3}}}}[/tex]
Solve inequalities and I'll do the graphing
15. x>7 Some of them are unslovable
16. n≥−5
17. G>5
18. k≤1
19.−2<b≤6
20. −8<m<−3
21. unslovable
22. −9<x<4
23. unslovable
24. m<−9 or m>9
Answer:
work is shown and pictured
Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-3a - 11) = (a + 2)
Answer:a=-13
—-
4
Step-by-step explanation:
Solve |4n−15|=|n|.
The solutions are n=
and n=
.
Answer:
n=3 n=5
Step-by-step explanation:
|4n−15|=|n|
Positive
4n−15=n
Subtract 4n from each side
-15 = -3n
Divide by -3
-15/-3 = n
5 = n
negative
4n -15 = -n
Subtract 4n from each side
-15 = -5n
Divide by -5
-15/-5 = n
3 = n
Answer:
n=3 and n=5
Step-by-step explanation:
|4n−15|=|n|
we know either
4n-15=-n or 4n=15=n
4n+n=15 4n-n=15
5n=15 3n=15
n=15/5=3 n=15/3=5
5. Given y = -1/2x + 10, determine if -2x +2y = 20 is parallel, perpendicular, or neither.
Answer:
Neither
Step-by-step explanation:
-2x+2y=20
First, you need to transfer the [-2x+2y=20] equation to slope intercept form. First, get the y variable on one side by subtracting -2x from the left side.
So then you have
2y= 2x+20
Then you divide the 2 from the y on BOTH side
y= x+10
Now compare the slope of both equations
y= -1/2x+10 (slope= -1/2)
y=x+10 (slope= 1)
Since the parallel slope to -1/2 is the same slope
Since the perpendicular slope to -1/2 is equal to 2/1 or 2,
Neither of them work
What is the solution of 2d=a-b/b-c when you solve for a
Answer:
2d(b-c)+b=a
Step-by-step explanation:
First you start off with the equation given
2d=(a-b)/(b-c)
Second, you want to start getting A by its self so that means you have to multiply both sides by (b-c) to get (a-b) by its self. (underlined portion cancles out)
2d(b-c)=((a-b)/(b-c)) (b-c) ----> 2d(b-c)=a-b
Finally, you want to add b to both sides to get a completely by it's self. (underlined portion cancles out)
2d(b-c)+b=a-b+b -----> 2d(b-c)+b=a
is the following a true statement? 4/8 < 5/16
Answer:
No, because 4/8*2= 8/16
And 8/16 is greater than 5/16
Answer:
The statement is false.
Step-by-step explanation:
The easiest way to answer this question is to make both fractions have the same common denominator. In this case, we should alter the first fraction to have a denominator of 16 so that it matches the second fraction. To do this, we should multiply both the numerator and the denominator of the fraction by 2 (this is the same as multiplying by 1, which does not change the value of the fraction). This is modeled below:
4/8 * 2/2 = 8/16
Now, we can plug this value back into our original statement.
8/16 < 5/16
From comparing the numerators, we know that 5 is NOT greater than 8, so the statement is false.
Hope this helps!
PLS HELP ME QUICK BRAINLIEST +15 POINTS!!!!!
Answer:
3/4
Step-by-step explanation:
The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.
From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:
[tex]\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}[/tex]
Simplify:
[tex]\bar x=\frac{9}{12}[/tex]
Reduce:
[tex]\bar x=3/4[/tex]
Therefore, the mean of the data set is 3/4.
For the data set, this means that the average person guesses the temperature too high by about 3/4°F.
(Note: the symbol of x with a bar over it denotes the mean of a set)
Remove all perfect squares from inside the square root. Assume bbb is positive. \sqrt{80b^2}= 80b 2
Answer:
Step-by-step explanation:
sqrt(80b^2) can be also written as sqrt(16(5)b^2).
The property sqrt(x*y) = sqrt(x) * sqrt(y) allows us to factor out square root of 16. Thus,
sqrt(16) * sqrt(5) * sqrt (b^2)
4*sqrt(5)*sqrt(b^2)
Sqrt(b^2) is the same as b^2/2, so Sqrt(b^2)= b
final answer 4b * sqrt(5)
Answer
THE GUY IS RIGHT DO WHAT HE SAYS!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation: