Answer:
X= 30
Step-by-step explanation:
96-3x=6
first move all terms not containg x to the right side of the Equation
Subtract 96 from both sides of the equation.
-3x = 6 - 96
subtract 96 from 6 and u will get
-3x= -90
Then u will have to divide each term by -3 and simplify which will get u
-3x/-3 when u divide from that u should get -90/-3
Then divide x by 1 and itll equal
x= -90/-3
Then divide -90 by -3 and you will get
x= 30
I hope this is good
I WILL GIVE BRAINLIEST IF YOU HELP THIS IS REALLY HARD FOR ME I HAVE THE FIRST TWO JUST THE LAST ONE PLEASE ALSO EXPLAIN HOW YOU GET YOUR ANSWER THANK YOU SO MUCHHH!!!!
Answer:
n ≥ -1 or n ≤ 3
Combined:
-1 ≤ n ≤ 3
Since the inequalities are ≤, it'll be a closed circle
The closed circle will start AT -1 and another closed circle will end at 3
10 to the second power minus 2 x (8) + 11
You are a plumber who needs to replace a broken pipe that is 12.5 feet long. You have 2 pipes, A and B, that are
3.75 meters and 4.25 meters long, respectively. A pipe longer than the broken pipe can be cut to fit.
Which pipe can be used to complete the task, and why?
Answer:
the 4.25 m pipe because it is longer than 12.5 feet. The 3.75 m pipe is too short
Step-by-step explanation:
Kathleen bought some glasses. She received a rebate of $50. Of her glasses cost $125, how much did she pay?
Answer:
You will pay $62.5 for a item with original price of $125 when discounted 50%. In this example, if you buy an item at $125 with 50% discount, you will pay 125 - 62.5 = 62.5 dollars.
Step-by-step explanation:
User: Jaylian.)
Learning farm
Daily PSSA prep 4/30 Friday
Question 8 of 15
52:38
>
Question: Last year, 7,000 people registered to go to a comic book convention. This year, the
number of people who registered increased by 5%. How many people registered for
this year's convention?
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Copy: 2020
Answer:
7350
Step-by-step explanation:
I hope this helps.
Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a mathematics course, and 135 are enrolled in both an economics and a mathematics course. What is the probability that a freshman selected at random from this group is enrolled in each of the following?
a) an economics and/or a mathematics course.
b) exactly one of these two courses.
c) neither an economics course nor a mathematics course.
Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243, [tex]$n(A \cap B) = 135$[/tex]
a). So, [tex]$n(A \cup B) = n(A) +n(B) - n(A \cap B)$[/tex]
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
[tex]$=\frac{176+108}{500}$[/tex]
= 0.568
c). Neither economics nor mathematics
[tex]$=\frac{500-419}{500} $[/tex]
[tex]$=\frac{81}{500}$[/tex]
= 0.162
Help me please
Greatest Common Factor
Answer:
Step-by-step explanation:
Let's first look at the coefficients: 10, -15, 20
The GCF of these numbers is 5 (all numbers are divisible by 5, nothing larger).
Next, let's look at the [tex]x[/tex] terms: [tex]x^{3}, x^{4}, x^{5}[/tex]
The GCF of these terms is [tex]x^{3}[/tex] (find the lowest exponent)
Finally, let's look at the [tex]y[/tex] terms: [tex]y^{5}, y^{8}, y^{6}[/tex]
The GCF of these terms is [tex]y^{5}[/tex] (find the lowest exponent)
This gives us a GCF of [tex]5x^{3}y^{5}[/tex]
Answer:
5x^3y^5
Step-by-step explanation:
A train travels 73 1/3 miles in 3/2 hour. What is its speed in miles per hour?
Speed per hour = distance / time
Speed = 73 1/3 / 3/2
Speed = 220/3 / 3/2
Speed = 220/3 x 2/3
Speed = 440 /9
Speed = 48 8/9 miles per hour.
There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?
495
2,970
11,880
20,736
Answer:
495
Step-by-step explanation:
12 Choose 4 = (12!) / 4! 8! = (12 · 11 · 10 · 9) / (4 · 3 · 2) = 495
I neee help Please!!!
need to know how to measure the radius of m
Answer:
B. 7.4 units
Step-by-step explanation:
If M is the center then radius is just distance from M to outer edge.
1. Solve the following system of equations. (Hint: Use the quadratic formula.)
f(x) = 2x^2-3x-10
g(x) = -3x^2+20
Answer:
[tex]f(x)=\frac{3+\sqrt{89} }{4} or \frac{3-\sqrt{89} }{4}\\g(x) = \frac{2\sqrt{15} }{3} or -\frac{2\sqrt{15} }{3}[/tex]
Step-by-step explanation:
f(x):
a=2 b=-3 c=-10
g(x):
a=-3 b=0 c=20
If (8, 12) and (3, 4.5) belong to a proportional relationship, what is the constant of
proportionality?
Answer:
1.5
Step-by-step explanation:
k= y/x
y= 12-4.5 = 7.5
x= 8-3 = 5
k = 7.5/5 = 1.5
Chelsea is filling a kiddie pool with water. For every
9
9
gallons of water she uses the pool fills
4
4
inches high.
If Chelsea wants to fill the pool to
15
15
inches, how many gallons of water will she use?
Chelsea will use
Answer:
33.75 gallons
Step-by-step explanation:
Determine how high the pool fills with one gallon
How high the pool fills with one gallon = 4/9 = 0.444444
The gallons needed to get the water to be 15 inches = 15 inches / 0.44 = 33.75 gallons
Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3
Answer:c
Step-by-step explanation:
Answer:D g(x) stretches f(x) vertically by a factor of 3.
Step-by-step explanation: ape3
Which of the given numbers is not a Pythagorean triplets. *
1 point
8,15,17
9,40,41
4,7,8
Step-by-step explanation:
By Pythagoras' Theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is always the largest number.
a and b can be interchangeable between the 2nd largest and the 3rd largest numbers.
Given a = 8, b = 15 and c = 17,
[tex] {a}^{2} + b {}^{2} = {8}^{2} + {15}^{2} \\ = 64 + 225 \\ = 289 \\ \\ {c}^{2} = {17}^{2} \\ = 289[/tex]
Since c^2 = a^2 + b^2 , 8 , 15 and 17 are pythagorean triplets.
Now let's move on to 9, 40 and 41.
[tex] {a}^{2} + {b}^{2} = {9}^{2} + {40}^{2} \\ = 81 + 1600 \\ = 1681 \\ \\ {c}^{2} = {41}^{2} \\ = 1681[/tex]
Since c^2 = a^2 + b^2 , 9 , 40 and 41 are pythagorean triplets.
Last let's move on to 4,7 and 8.
[tex] {a}^{2} + {b}^{2} = {4}^{2} + {7}^{2} \\ = 16 + 49 \\ = 65 \\ \\ {c}^{2} = {8}^{2} \\ = 64 [/tex]
Since a^2+b^2 IS NOT EQUAL to c^2, 4,7 and 8 ARE NOT pythagorean triplets.
PLS HELP IM GONNA DIE IF SOMEONE DONT HELP ME ALL OF POINTSMr. Lopez had surveyed all of his 20 student of how
long it took them to read a five chapter book. ter they
read, Mr.Lopez had 1 students that took 5 hours, 4
students that took 3 hours,5 students that took 1 hour,
10 students that took 9 hours and 1 student who took 2
hours. What is the mean IQR, mode, and median?
Answer:
Put the given data in ascending order:
1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9Mean is the average of 20:
(1*5 + 2 + 3*4 + 5 + 9*10)/20 = 5.7median = 5.7Mode is the most repeated number:
mode = 9Median is the average of the two middle numbers:
(3 + 5)/2 = 4median = 4Mean = 5.7
Median = 4
Mode = 9
You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 15858 quarts of paint, and each chair requires 2323 quarts of paint. How many total quarts of paint should you bring to paint this furniture?
Step-by-step explanation:
Let t be the number of tables
Let c be the number of chairs
Total paint needed = 15858t + 2323c
Given t = 2 and c = 8, substitute t and c into expression to find total paint needed
Total Paint needed = 15858(2) + 2323(8)
= 31716 + 18584
= 50300 quarts of paint
What is the median of the data represented by the box plot?
Answer:
20
Step-by-step explanation:
20 is the median, or middle value, of all values in the data set
help meeeeee plzzzzzz asap Find the area of the shaded regions.
Area of a circle is PI x r^2
The radius of the large circle is shown as 8 m
The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m
The radius of the small circle would be 2m
Area of large circle = pi x 8^2 = 64pi = 200.96 square m
Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.
Area of small circle = pi x 2^2 = 4pi = 12.56 square m.
The area of the shaded region = large - middle + small
Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.
Let g(x)=5x and h(x)=x−3. Find (g+h)(−8).
(g+h)(−8)=
Answer:
-48x + 24
Step-by-step explanation:
-8(g + h) = -8(5x + x - 3) = -8(6x - 3) = -48x + 24
Sylvie made the solid figures shown using unit cubes.
Which statement about these models is true?
A.The volume of Model A is 10 cubic units less than the volume of Model B.
B.The volume of Model B is 4 cubic units greater than the volume of Model A.
C.The volume of Model A and Model B combined is 54 cubic units.
D.Model A and Model B have the same volume.
Answer:
The answer is B.
"The volume of Model B is 4 cubic units greater than the volume of Model A."
Step-by-step explanation:
I just took the test and it's correct, I am sorry if it's not correct but I'm 99.9% sure it is accurate
How many solutions does this system have?*
(2 Points)
y = -3
y = -x-4
O One Solution
No Solution
O Many Solutions
Answer:
1 solution
Step-by-step explanation:
[tex]y = - 3 \\ y = - x - 4 \\ = > - 3 = - x - 4 \\ = > - x - 4 + 3 = 0 \\ = > - x - 1 = 0 \\ = > - x = 1 \\ = > x = - 1[/tex]
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 2) and (6, 4). A small triangle has a rise of 1 and run of 3 and a larger triangle has a rise of 2 and run of 6. What is the equation of the line? y = 3 x y = one-third x y = one-third x + 2 y = 3 x + 2
Answer:
its c / i took the test
Step-by-step explanation:
:)
The Equation of line is y= 1/3 x + 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given-
The points through which line passes (0, 2) and (6, 4).
So, the Slope of the line,
m = (4- 2)/ (6-0)
m= 2/6
m= 1/3
and, the Equation of line is
y- 2 = 1/3 (x - 0)
y-2 = 1/3x
y= 1/3 x + 2
3y = x+ 6
Learn more about slope here:
brainly.com/question/2564656
#SPJ6
if you help me you are a sweet sweet sweet angel
Answer:
the last option
option four or D
Step-by-step explanation:
have a great day :)
Find the slope of the line with points: (5,1) and (3,4).
Answer:
m= -3/2
Step-by-step explanation:
(5,1) and (3,4)
Slope:
m=(y2-y1)/(x2-x1)
m= (4-1)/(3-5)
m=3/(-2)
m= -3/2
Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house
Answer:
Distance = 10.77 unit (Approx.
Step-by-step explanation:
Given:
Coordinate of Jenna's house = (2,4)
Coordinate of Zac's house = (-2,-6)
Find:
Distance
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Distance = √(2 + 2)² + (4 + 6)²
Distance = √(2 + 2)² + (10)²
Distance = √16 + 100
Distance = √116
Distance = 10.77 unit (Approx.
Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]
Step-by-step explanation:
the answer is in the picture
Answer:
3x+18y
Step-by-step explanation:
2x+5y+2x+5y-3x+4y+3x+4y
2x+2x-3x+3x+5y+5y+4y+4y
4x-x+10y+8y
3x+18y
Misha and Dontavious were asked to solve the following problem using linear programming.
A local school district can operate a large bus for $300 per day and a small bus for $200 per day. The district needs to arrange transportation for at least 360 students for a field trip and has enough chaperones to have one chaperone per bus for up to 7 buses. Each large bus can hold 60 students and each small bus can hold 45 students. What is the minimum cost for the transportation for the field trip?
Misha decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+45y
Constraints:
200+60y≥360
x+y≤7
x≥0
y≥0
Dontavious decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+200y
Constraints:
60x+45y≥360
x+y≤7
x≥0
y≥0
Decide which student set up the correct Objective function and Constraints and using that information answer the following:
a) What are the vertices for the correct feasible region?
b) What is the minimum cost for transportation for the field trip and how did you arrive at this cost?
The correct function was: Dontavious
The constraints are the number of students at least 360 and the number of buses up to 7.
Dontavious wrote the appropriate inequalities. cost is $300 for large buses and $200 for small buses. and the constraints are the number of students per bus.
a) The feasible region is where the solution spaces overlap: this creates a small triangular area with the vertices at (6, 0), (7, 0) and (3, 4).
(6, 0), (7, 0), (3, 4)
b) 3 large buses and 4 small buses would cost 3*300 + 4*200 = $1700
6 large buses and 0 small buses would cost 6*300 = $1800 dollars
The cheapest solution would be 3 large buses and 4 small buses which would cost $1700
The probability that lucy will do. The drawing is 0.125. What is the probability that she will not win
Answer:
probability is alway 1 or less than 1
therefore the probability is 0.125/1