Solve for x. Show each step of the solution. 4.5(8−)+36=102−2.5(3+24) i need to show my work dont just give me the answer
Answers
4.5 * 8 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 67.5
36 - 36 = 34.5
Since we know 36 - 36 doesn't equal 34.5 its not true so there is NO ANSWER.
36 - 4.5x + 36 = 102 - 7.5x - 60
-4.5x + 72 = 42 - 7.5x
add 7.5x to each side and subtract 72 from each side
3x = 42 - 72
3x = -30
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Find the vertex of the parabola f(x)=x2-6x+13
Answers
(3,4) is the answer.
Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
Need help
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141-3x=13x-42
-16x=-183
divide by -16 both sides
x=11.4375
Answer:
X is the answer.
Step-by-step explanation:
Find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2).
Answers
The formula for Poisson distribution is:
P (x) = e^-k * k^x / x!
We know that:
3P(x = 1) = P(x = 2)
Therefore:
3 [e^-k * k^1 / 1!] = e^-k * k^2 / 2!
Simplifying by cancelling similar terms:
3 / 1! = k / 2!
k = 3 * 2! / 1!
k = 6
So at x = 4:
P (x = 4) = e^-6 * 6^4 / 4!
P (x = 4) = 0.1339 or 13.39%
What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2
Answers
m=(1-(-5))/(4-1)
m=(1+5)/(3)
m=6/3
Slope=m=2
Answer:
Slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Step-by-step explanation:
The equation of the slope is given by
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
As given
line passing through the points (1, −5) and (4, 1) .
[tex]m = \frac{1-(-5)}{4-1}[/tex]
[tex]m = \frac{1+5}{4-1}[/tex]
[tex]m = \frac{6}{3}[/tex]
m = 2
Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .
The sum of two numbers is 54 and the difference is 12 . what are the numbers?
Answers
x - y = 12
x = 33
y = 21
33 + 21 = 54
33 - 21 = 12
Hope this helps!
A plane is a ___ (one-dimensional, two-dimensional, three-dimensional) figures. The intersection of two olanes that do not coincide (if it exists) is a ___ (point, line, angle).
Answers
The intersection of two planes that do not coincide is a line.
Problem page nicole purchased a prepaid phone card for $30 . long distance calls cost 24 cents a minute using this card. nicole used her card only once to make a long distance call. if the remaining credit on her card is $18.24 , how many minutes did her call last?
Answers
30-18.24=11.76 dollars used
11.76/.24=49 mins
How many seconds are in a stopwatch showing 4 hours 3 minutes and 10 seconds?
Answers
=14400 + 180 +10
= 14590 seconds
1 hr = 60 minutes...so 4 hrs = (4 * 60) = 240 minutes....
so we now have 240 + the 3 minutes = 243 minutes and 10 seconds
1 minute = 60 seconds.....so 243 minutes = (243 * 60) = 14580 seconds
so we end up with 14580 seconds + 10 seconds = 14590 seconds <==
How Can I find ef? Do I multiply add or diving
Answers
and surely you know how much that is.
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2)
-7/6
7/6
undefined
Answers
Formula for slope: y2 - y1 / x2 - x1
Plug in the values.
-2 - 5/ 3-(-3) = -7/6 = slope
Slope = -7/6
Answer:
-7/6
Step-by-step explanation:
-2-5/3+3= -7/6
In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.
Answers
1/2*x - length of the base
so:
[tex]P=2\cdot x+\dfrac{1}{2}x\\\\\\50=2x+\dfrac{1}{2}x\\\\\\50=2\dfrac{1}{2}x\\\\\\50=\dfrac{5}{2}x\quad|\cdot\dfrac{2}{5}\\\\\\x=50\cdot\dfrac{2}{5}\\\\\\x=\dfrac{100}{5}\\\\\\\boxed{x=20\text{ cm}}\qquad\qquad\text{(leg)}[/tex]
and
[tex]\dfrac{1}{2}\cdot x=\dfrac{1}{2}\cdot20=\boxed{10\text{ cm}}\qquad\qquad\text{(base)}[/tex]
To solve this question, we have to:
Understand the concept of an isosceles triangle.Use this concept, along with the perimeter concept, to build the equation to find the length of the sides.Doing this, we get that the length of the base is 10 cm and the length of the legs is 20 cm.
Isosceles triangle:
In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.
Perimeter:
The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.
In this question:
Perimeter of 50 cm;Two legs of l;Base is half the leg, so l/2.Then, the equation is:
[tex]l + l + \frac{l}{2} = 50[/tex]
[tex]2l + \frac{l}{2} = 50[/tex]
[tex]\frac{4l + l}{2} = 50[/tex]
[tex]5l = 100[/tex]
[tex]l = \frac{100}{5}[/tex]
[tex]l = 20[/tex]
Thus:
The length of the legs is of 20 cm.The length of the base is of 20/2 = 10 cm.A similar question is found at https://brainly.com/question/20321307
Choose the formula for the volume of a cone V=1/3
Answers
height = 3*Volume / PI * r^2
answer is D
Simplify 12.6h + 4.5k – 1.5h.
Answers
12.6h - 1.5h = 11.1h
There is not anythings to combine with the k term, so you just leave it as is.
Your answer would be:
11.1h + 4.5k
A fire truck has a long ladder that is made of 3 sections. Each section is 43/4 meters long.
How long is the ladder when all 3 sections are extended to make one long ladder
Answers
43/4 = 10 3/4 (or 10.75)
You will want to have your answer as a mixed number, but multiplying might be easier if you use the decimal for calculations.
Now you multiply your mixed number or decimal by 3 (3 sections).
10.75 * 3 = 32.25 or 32 1/4
Your answer would be 32 1/4 meters.
Hope this helps :)
Which equation represents a line that passes through (5, 1) and has a slope of ?
y – 5 = 1/2(x –1)
y – 1/2 = 5(x –1)
y – 1 = 1/2(x –5)
y – 1 = 5|x-1/2|
Answers
Answer:
ITS C
y -1 = 1/2 ( x -5)
The equation represents a line that passes through (5, 1) and has a slope of 1/2 is given by (A) y - 5 = 1/2 (x-1).
What is Slope?The tangent value of the angle formed between a straight line and positive x-axis is called the Slope of that straight line.
If the slope of a line is m and the line is satisfied by point (a,b) then the equation of the line is given by,
y - b = m (x - a)
Here in the problem it is given that the slope is 1/2 and line passes thorugh (5,1).
So, a = 5, b = 1, m = 1/2
Hence the equation of the straight line is given by,
y - 5 = 1/2 (x - 1)
Hence the correct option is (A)
Your question is incomplete.Please find the missing content here:
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
?y – 5 = 1/2(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)y – 1 = 5|x-1/2|
Learn more about Slope here -
https://brainly.com/question/3493733
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How many different 9 letter words can be formed from the letters in the word statistics?
Answers
Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?
Answers
Define two positions on each line as A (x₁, y₁) and B(x₂, y₂).
Then the slope is
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
Horizontal line:
Define A (0, 1) and B (1,1).
The slope is
[tex]m= \frac{1-1}{1-0}=0 [/tex]
Vertical line:
Define A( (1,0) and B(1,1).
The slope is
[tex]m= \frac{1-0}{1-1}= \frac{1}{0} [/tex] (undefined)
How many square units are in an office that is 13 units by 9 units? 22 117 121 130?
Answers
The room has the shape of a rectangle with:
length = 13 units and width = 9 units
The are of the rectangle can be calculated using the following rule:
area of rectangle = length * width
area of the room = 13 * 9 = 117 square units
By using the formula for the area of a rectangle, we will see that there are 117 square units on the office.
How many square units are in the office?We know that for a rectangle of width W and length L, the area is given by:
A = W*L
In this case, we have a rectangle of width of 13 units, and length of 9 units, replacing that in the area equation:
A = (13 units)*(9 units) = 117 square units.
So the correct option is the second one, there are 117 square units in the office.
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Plzz help me with this one i dont know what to do on this one
5x- 3(x-2)
Answers
The expression 33n+13f+7p+10d represents the cost, in dollars, to purchase n cases of paper, ff packages of hanging folders, pp packs of pencils, and dd flash drives. Which statement is NOT true?
A.) The term 7p represents the cost for 7 packs of pencils.
B.) The coefficient 10 represents the cost of each flash drive.
C.) The coefficient 7 represents the cost of one case of paper.
D.) The term 13f represents the cost of ff packages of hanging folders at $13 per package.
Answers
This is because the 7 represent the cost for each pack of pencils, not 7
Hope this helped! If you please, mark as brainliest ^^
Answer:
A) The term 7p represents the cost for 7 packs of pencils.
Step-by-step explanation:
Have a good day ^.^
am-n=p (solve for a)
Answers
am=p+n
a=(p+n)/m
The value of a = (p + n) / m.
To isolate a in the given equation am - n = p, follow these steps:
Start with the original equation: am - n = p.
Add n to both sides of the equation to eliminate n from the left-hand side:
am - n + n = p + n
am = p + n.
Next, divide both sides of the equation by m to solve for a:
(am) / m = (p + n) / m
a = (p + n) / m
Therefore, a = (p + n) / m is the solution to the equation.
if there is a vertical line that intersects the graph of a relation in more than one point then the relation is a function true or false
Answers
A function involves more than one variable, so I would say that your question fits the bill!
A Blackjack hand is often dealt with one card face up and one card face down. What is the probability that the sum of your two cards will be exactly 21 if the face up card is an Ace? (Assume no other cards have been dealt so far.)
Answers
hope this helps
The ninth grade class at a local high school needs to purchase a park permit for $250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, , needed to cover the cost of the permit?
Answers
250-150=100
100/1.25=80
g is greater than or equal to 80
What is the standard form of this number 15,000+7000+400+9
Answers
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 52.
Answers
Let [tex]m[/tex] represent Maggie's age.
Let [tex]3m-4[/tex] represent Maggie's brother's age.
Equation:
[tex](3m-4)+(m)=52[/tex]
Solve for m.
[tex]4m-4=52[/tex]
Add 4 to both sides.
[tex](4m-4)+4=(52)+4[/tex]
[tex]4m=56[/tex]
Divide both sides by 4.
[tex](4m)/4=(56)/4[/tex]
[tex]m=14[/tex]
Maggie is 14 years old and her brother is 38 years old(14*3-4).
Hope this helps.
-Benjamin
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
A.) –7
B.) –1
C.) 1
D.) 7
Answers
So,
next term = (previous term) + 3
second term = (first term) + 3
second term = (-4) + 3
second term = -1
Making the answer to be choice B) -1
For any approximately normal distribution, how can we find the relative frequency of the scores?
Answers
I hope this helped!
PLEASE HELP!!!! 25-30 points! : )
#1 Solve the proportion.
13-b / 6 = 2-0.5b / 4
A. 72
B. 32
C. 40
D. 64
Please exlpain your answer! :)
#2 Solve the proportion.
x-9 / 3 = 5 / 13
A. 84/5
B. 15/13
C. 132/13
D. 24/13
Please explain your answer! :)
#3 Solve the proportion.
w+14 / 4w+6 = 3/4
A. 19/4
B. 15/28
C. 2/7
D. 8/19
Please explain your answer! :)
#4 Solve the proportion.
x-8 / 5 = 2/4
A. 5/2
B. 9/2
C. 18
D. 21/2
Please explain your answer! :)
Answers
cross multiply
6(2 - 0.5b) = 4(13 - b)
12 - 3b = 52 - 4b
-3b + 4b = 52 - 12
b = 40 <==
====================
(x - 9) / 3 = 5/13
cross multiply
13(x - 9) = 3 * 5
13x - 117 = 15
13x = 15 + 117
13x = 132
x = 132/13
===================
(w + 14) / (4w + 6) = 3/4
cross multiply
3(4w + 6) = 4(w + 14)
12w + 18 = 4w + 56
12w - 4w = 56 - 18
8w = 38
w = 38/8 which reduces to 19/4
=====================
(x - 8) / 5 = 2/4
cross multiply
4(x - 8) = 2 * 5
4x - 32 = 10
4x = 10 + 32
4x = 42
x = 42/4 which reduces to 21/2
===================
sorry but I am not exactly sure how to " explain " my answers
could 4.1 cm 8.4 cm and 1.3 cm be the side lengths of a triangle?