13 If B is the midpoint of AC, and AC = 8x – 20,
find BC.
3x-1
А в
Answer:
BC = 26
Step-by-step explanation:
Given that:
B is the midpoint of AC
Then AC = AB + BC
AC = 8x - 20 and AB = 3x - 1
Then,
8x - 20 = (3x - 1) + BC
8x - 20 - (3x - 1) = BC
8x - 20 - 3x + 1 = BC
5x - 19 = BC
But AB = BC
5x - 19 = 3x - 1
5x - 3x = - 1 + 19
2x = 18
x = 9
Hence,
Since BC = AB = 3x - 1
3(9) - 1
27 - 1
= 26
HELP ME PLEASE!!! D:
at the grocery store, choco bars outsells cinnamon granola bars by a five-to-one ratio. if the store sold 246 bars, how many of them were cinnamon granola bars?
Answer:
205 : 41
or 41 cinnamon bars
I really need help with this section
Looks like you did most of it.
The next step would be setting them equal to 105, like the problem suggests.
[tex]5z+3x+7x=105[/tex]
[tex]15x=105[/tex]
[tex]x=7[/tex]
Then we can plug back in to find the numbers.
[tex]5*7=35[/tex]
[tex]3*7=21[/tex]
[tex]7*7=49[/tex]
[tex]35+21+49=105[/tex]
The three numbers are [tex]35, 21, 49[/tex].
Hope this helps.
頑張って!
-4x + 3y + 2x = what does this equal?
Find the missing number + 8 = 4
Answer:
-4
Step-by-step explanation:
PLZ HELP!!!! A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
Answer:
Step-by-step explanation:
y = 6x − 4
y = 5x − 3
A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b
x y=6x-4 y=5x-3
1 y=2 y=2
2 y=8 y=7
0 -4 -3
slope :
y=6x-4 slope is 6 y intercept(0,-4)
y=5x-3 slope is 5 y intercept (0,-3)
solution of the pair of equation is the point of intersection :
6x-4=5x-3
6x-5x=-3+4
x=1 and y=6x-4 ⇒ y=6-4=2
(1,2)what is 5x-4x+8 Really need to earn 50 points
Answer:
x+8 i used mathaway i recommend it for math
[tex]5x - 4x + 8\\x + 8\\\\ahi queda creo \\pero si esque te confundiste y pusiste "-" en vez de poner "=" seria:\\5x = 4x + 8\\x = 8\\xd 7w7[/tex]
Determine whether the graph is the graph of a function. (2 points)
Answer:
yes it is a function
Step-by-step explanation:
if you put three lines on the line of the line passes more than 1 it is not a function
What is the value of -9·2.2?
Answer:
-19.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
-9 x 2.2 = -19.8
1
2.2
X -9
-----------
- 19. 8
(-8, 4), (10, -9)
Find the midpoint
Answer:
The midpoint between 2 points is (1,2.5) .
Step-by-step explanation:
We have to apply midpoint formula :
[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
[tex]let \: (x1,y1) \: be \: ( - 8,4)[/tex]
[tex]let \: (x2,y2) \: be \:(10 , - 9)[/tex]
[tex]midpoint = ( \frac{ - 8 + 10}{2} , \frac{4 + ( - 9)}{2} )[/tex]
[tex]midpoint = ( \frac{2}{2} , \frac{ - 5}{2} )[/tex]
[tex]midpoint = (1,2.5)[/tex]
Carlos gives a cashier a $20 bill. He is buying an item for $3.44. How much money should Carlos get back?
Answer:
$16.56
Step-by-step explanation:
Answer:
Carlos should get back $16.56
a carpenter has a wooden dowel that is 96 cm long. she wants to cut it into two pieces so that one piece is 5 times as long as the other. what is the length of the longer piece?
Answer:
30 cmStep-by-step explanation:
In this problem (word problem), we are examined on how to express equations from words.
let us initialize some variables
let the length of the first piece (the short piece) be x
and that of the second(the longer piece) be 5x
given that the total length is 96 cm
Also from the problem statement, the total length can be expressed as
5x+x= 96
6x= 96
divide both sides by 6 to solve for x
x= 96/6
x= 16
now the longer side = 5x
the longer side= 5*6
the longer side = 30 cm
what is the square root of 2 (the square root as a fraction)
Answer:
the square root of 2 is irrational because it cannot be written as a ratio or fraction.
Step-by-step explanation:
If Qr=58 and pq=13 find pr
Answer:
PR=71
Step-by-step explanation:
visualize:
P Q R
O-------------O-------------O
13 58
so if PQ + QR = PR, than 13+58=PR
13+58=71
PR=71
The value of the segment PR will be 71.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the value of the segment Qr=58 and pq=13. The value of segment PR will be calculated as below:-
PR = QR + PQ
PR = 13 + 58
PR = 71
Therefore, the value of the segment PR will be 71.
To know more about a line segment follow
https://brainly.com/question/18315903
#SPJ2
Solve the equation by inserting the assigned value.
NH
(6a - 10) = 12 – (6 - 3a), when b=11
A = ?
Answer:
a = 5.333.. or 5 1/3
Step-by-step explanation:
I am not sure what your question is but it looks like you need to solve for a.
Based on that fact:
6a - 10 = 12 - 6 + 3a you multiply -1 by each term in the parenthesis
Then it is simple algebra
6a -10 = 6+ 3a
+10 + 10 add 10 to both sides
6a = 16 + 3a
-3a -3a add -3a to both sides
3a = 16 Divide both sides by 3
a = 5.3333
Help please math what is the inverse of the function
I hope this helps you
12y=156
Solve for the Variable
Answer:
13
Step-by-step explanation:
12y = 156
y = 156 ÷ 12
y = 13
Pete’s Painting Company will charge a one-time fee of $60 for labor and $20 for each room painted. Carla’s Creative Colors will charge $40 a room but only $20 to hire workers. Write a function rule for Pete’s Painting Company in function notation. Write a function rule for Carla’s Creative Colors in function notation.
Answer:
Pete's: [tex]f(x) = 20x + 60[/tex]
Carla's: [tex]f(x) = 40x + 20[/tex]
Step-by-step explanation:
Let's assume that [tex]x[/tex] is the amount of rooms painted, and [tex]f(x)[/tex]
For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.
They also charge 20$ per room, meaning that we will multiply 20 by [tex]x[/tex], the amount of rooms painted.
This gets us the function [tex]f(x) = 20x + 60[/tex]
For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.
They also charge $40 a room, meaning we will multiply 40 by [tex]x[/tex], the amount of rooms painted.
So the function is [tex]f(x) = 40x + 20[/tex].
Hope this helped!
give the domain and range of the relation
Answer:
Domain: 1, 6
Range: 4
Step-by-step explanation:
The Domain is the first coordinate which is x
The Range is the second coordinate which is y
Hope This Helps :)
I need help!! Variables
Answer:
the correct answer is 20 .
Step-by-step explanation:
x^2 - ( x + 4 ) - y = ?
6^2 - ( 6 + 4 ) - 6 = ?
36 - ( 10 ) - 6 = ?
26 - 6 = 20
30 POINTS ONE QUSETION ASAAAAAAAPPPPPP
Answer: There are a total of 12 rocks
Step-by-step explanation:
The ratio of red marbles to blue marbles is 3:5. If there are 225 blue marbles total in the collection, how many of each color are there? Please show your work.
Answer:
Red balls = 84 Blue balls = 140
Step-by-step explanation:
Ok so there are 225 marbles
And ratio here is Red : Blue = 3 : 5
So Red marbles = 3x whereas Blue marbles = 5x
Therefore,
3x + 5x = 225
8x = 225
x = 28.125 = 28
Red balls = 28*3 = 84 Blue balls = 28*5 = 140
(Pls check whether total no of balls is 224)
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?
Answer:
184 jumping jacks = 4 minutes
Divide by 4 on both sides.
4/4 = 1
184/4 = 46
Delilah does 46 jumping jacks in 1 minute.
Can someone please help me out with this? Honestly have no idea how this table works
a=3 and b= 4 what does b^a=
Answer:
b^a= 4^3 =64
Step-by-step explanation:
4^3
that is 4*4*4
hope this helped!
Beth is solving this equation: 1/x + 3 =3/x
she says "I can multiply both sides by X and get the linear equation 1 + 3x = 3 whose solution is x = 2/3 ."
which of the following statements makes this a correct argument, or shows that it is in correct? Select all that apply.
a. you cannot multiply both sides by x because you do not know what x is.
b. you can assume x = 0 because both sides are undefined if x = 0
c. after multiplying both sides by X you need to subtract 1 from both sides.
d. the equation is not linear, so you cannot use the methods normally used for solving linear equations.
Answer:
a. you cannot multiply both sides by x because you do not know what x is.
Step-by-step explanation:
Given:
[tex]\frac{1}{x} + 3 = \frac{3}{x}[/tex]
Required
Select which of the option that applies
Considering (a):
A is incorrect:
Because: Multiplying both sides by x has nothing to do with whether the value of x is known or not
Considering (b):
B is incorrect:
Substitute 0 for x in the given expression
[tex]\frac{1}{0} + 3 = \frac{3}{0}[/tex]
[tex]Und efi ned[/tex]
Both sides of the equation are undefined
However, you cannot assume x to be 0
Considering (c):
C is correct:
Start by multiplying both sides by x
[tex]x (\frac{1}{x} + 3) = \frac{3}{x} * x[/tex]
[tex]1 + 3x = 3[/tex]
Then, subtract 1 from both sides
[tex]1 - 1 + 3x = 3 - 1[/tex]
[tex]3x = 2[/tex]
Divide through by 3
[tex]x = \frac{2}{3}[/tex]
Considering (d):
D is incorrect;
Because, the equation is linear
The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x - 100
What is the value of x?
O A. 25
B. 20
10
OD. 28
Answer:
The answer will be B. 20
Step-by-step explanation:
0.11 in expanded form
Answer:
1.1
Step-by-step explanation:
As we move left, we multiply by 10 to obtain the new place value.
if tanA+cotA=2 then find the value of cosA
Answer:
cos A=
[tex] \frac{1}{ \sqrt{2} } [/tex]
Step-by-step explanation:
We know,
cotA=
[tex] \frac{1}{ \tan(a) } [/tex]
Substituting the value of cot A in the given equation, we get
[tex] \tan( a) + \frac{1}{ \tan(a) } = 2[/tex]
[tex] \frac{{ \tan }^{2} a + 1}{ \: \tan(a) } = 2[/tex]
[tex] { \tan }^{2 \: } a \: + 1 = 2 tan \: a[/tex]
[tex] { \tan }^{2} a - 2 \tan \: a + 1 = 0[/tex]
[tex]( \tan \: a - 1) {}^{2 } = 0[/tex]
[tex] \tan \: a - 1 = \sqrt{0} [/tex]
[tex] \tan \: a = 1 [/tex]
[tex] \tan \: a \: = \tan \: 45[/tex]
[tex]a = 45[/tex]
[tex] \cos \: a = \cos \: 45[/tex]
[tex] \cos \: a = \frac{1}{ \sqrt{2} } [/tex]
A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 8 x − 40. F(x)=8x−40. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Domain = [0, ∞).
Step-by-step explanation:
he profit, in dollars, when the company sells x shirts can be found using the function
[tex]f(x)=8x-40[/tex]
For x=0,
[tex]f(0)=8(0)-40=-40[/tex]
It means, if company sells 0 shirts, then company makes loss (because of negative sign) of $40.
For x=5,
[tex]f(5)=8(5)-40=0[/tex]
It means, if company sells 5 shirts, then company makes profit of $0 means no loss no profit.
For x=10,
[tex]f(10)=8(10)-40=40[/tex]
It means, if company sells 10 shirts, then company makes profit of $40.
Domain is the set of input values.
We know that number of shirts can not be negative, therefore the value of x is always greater than or equal to 0.
Domain = [0, ∞).
Therefore, the domain for the function is [0, ∞).