Answer:
p= 1/3
=0.333
Step-by-step explanation:
Simplifying
6 + -9(4p + -3) = 2(6p + 7) + 3
Reorder the terms:
6 + -9(-3 + 4p) = 2(6p + 7) + 3
6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3
6 + (27 + -36p) = 2(6p + 7) + 3
Combine like terms: 6 + 27 = 33
33 + -36p = 2(6p + 7) + 3
Reorder the terms:
33 + -36p = 2(7 + 6p) + 3
33 + -36p = (7 * 2 + 6p * 2) + 3
33 + -36p = (14 + 12p) + 3
Reorder the terms:
33 + -36p = 14 + 3 + 12p
Combine like terms: 14 + 3 = 17
33 + -36p = 17 + 12p
Solving
33 + -36p = 17 + 12p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-12p' to each side of the equation.
33 + -36p + -12p = 17 + 12p + -12p
Combine like terms: -36p + -12p = -48p
33 + -48p = 17 + 12p + -12p
Combine like terms: 12p + -12p = 0
33 + -48p = 17 + 0
33 + -48p = 17
Add '-33' to each side of the equation.
33 + -33 + -48p = 17 + -33
Combine like terms: 33 + -33 = 0
0 + -48p = 17 + -33
-48p = 17 + -33
Combine like terms: 17 + -33 = -16
-48p = -16
Divide each side by '-48'.
p = 0.3333333333
Simplifying
p = 0.3333333333
0.5 e + 20= 25
solving equations
Answer:
e = 10
Step-by-step explanation:
Simplifying
0.5e + 20 = 25
Reorder the terms:
20 + 0.5e = 25
Solving
20 + 0.5e = 25
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 0.5e = 25 + -20
Combine like terms: 20 + -20 = 0
0 + 0.5e = 25 + -20
0.5e = 25 + -20
Combine like terms: 25 + -20 = 5
0.5e = 5
Divide each side by '0.5'.
e = 10
Simplifying
e = 10
Answer:
e = 1
Step-by-step explanation:
0.5e + 20 = 25
0.5e = 5
e = 1
You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1
pls give brainliest!!
How does anyone know how to prove parallel lines, especially when there are two pairs of them?
Answer:
Step-by-step explanation:
If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.
(x-5) divided by (x^2+3x-40)
Answer:
1/ x +8
*The 1 over x + 8
Answer:
[tex]\frac{1}{x+8}[/tex]
Step-by-step explanation:
Here is your original equation:
[tex]\frac{x-5}{x^{2} +3x-40}[/tex]What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):
[tex]x^{2} +3x-40[/tex]
Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.
Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)
We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.
[tex]x^{2} +3x-40 = (x+)(x-)[/tex]
Next, let's look at the factors of 40:
1 and 40 2 and 20 4 and 10 5 and 8
Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!
[tex]8-5=3[/tex]In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].
[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]Now let's go back to our original equation and substitute our old expression with the new one:
[tex]\frac{x-5}{(x+8)(x-5)}[/tex]Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].
[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]Therefore, your simplified answer is [tex]\frac{1}{x+8}[/tex] !
Here's the whole process:
[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]
To check your answer, confirm your expressions using the box method attached.
I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!
in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls .
BOATING Dedra's boat used 5 gallons of gasoline in 4 hours. At this rate, how many gallons of gasoline will the boat use in 10 hours?
The number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons
If Dedra's boat used 5 gallons of gasoline in 4 hours, this is expressed as:
5 gallons = 4 hours
In order to know the number of gallons needed in 10 hours, this is expressed as:
x = 10 hours
Divide both expressions:
5/x = 4/10
4x = 50
x = 50/4
x = 12.5 gallons
Hence the number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons
Learn more on rate here: https://brainly.com/question/24304697
HELP ASAP PLS AMD THANK YOU
Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?
Answer:
$63.00
Step-by-step explanation:
Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.
Your equations look like this:
Tip equation: .18 * 50 = $9.00
Tax equation: .08 * 50 = $4.00
Then you just add them all up to get the total, and you get,
9+4+50 = 63
3 2/4 + 1/4 =
41/3-2/3 =
44/5 1/3 =
33/4 = 2/3 =
Answer:
jdjjsjsjjjdjdjjsjshshshud
PLEASE HELP ILL MARK U AS THE BRAINLEIST
Answer:
Slope Rise/Run
count from one point to another by going up or down then left or right if is down is negative if is left is negative but two negatives equal a positive
Have a nice day/night HAPPY THANKSGIVING!!!
Step-by-step explanation:
Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My
Answer:4.4x+10
Step-by-step explanation:
Jay wants to rent a metal detector. A rental company charges a one-time rental fee of $20 plus $5 per hour to rent a metal detector. Jay has only $60 to spend. What is the maximum amount of time he can rent the metal detector?
Answer:
8 hours.
Step-by-step explanation:
If you have the 20 as the fee, you'd only have 40 dollars left. If you do 40/ 5 you'd get your answer of 8 hours.
Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!
Answer:
6<x<9Step-by-step explanation:
from the graph above the non linear paths are the curves on the Cartesian plain
on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9
EASY!!!!Example 5:
Why does the man fly out of the car?
Group of answer choices
Newton's 1st Law
Newton's 2nd Law
Newton's 3rd Law
Flag this Question
Question 145 pts
Give evidence or explain your reasoning for your answer to example #5:
Answer:Newton's First Law
Step-by-step explanation:
"When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it. The seat belt then exerts a force back on the person (Newton's Third Law). This causes a controlled deceleration of the person" -google
The ratio of students to adults on a field trip is 8 to 1. Which table correctly shows this ratio for each grade?
Explain why. help please thank you!
According to the U.S. Bureau of the Census in its Current Population Reports (Series P60) the average
poverty threshold was $8241 for a three-person household in 1993. For a group of 81 three-person households
the standard deviation was $972. Find a 99% confidence interval for the average poverty threshold for a three-
person household.
Answer:
lkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
teresa purchased a prepaid phone card for $30. Long distance calls cost 7 cents a minute using this card. Teresa used her card only once to make a long distance call. if the remaining credit on her card is $28.32, how many minutes did her call last?
Answer:
24min
Step-by-step explanation:
30-28.32=1.68
1.68/0.07cents=24
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
how many solutions does 6x - 18 = 4(2x - 3) - (2x +6)
Answer:
x=0
Step-by-step explanation:
6x-18=4(2x-3)-(2x+6)
We move all terms to the left:
6x-18-(4(2x-3)-(2x+6))=0
We calculate terms in parentheses: -(4(2x-3)-(2x+6)), so:
4(2x-3)-(2x+6)
We multiply parentheses
8x-(2x+6)-12
We get rid of parentheses
8x-2x-6-12
We add all the numbers together, and all the variables
6x-18
Back to the equation:
-(6x-18)
We get rid of parentheses
6x-6x+18-18=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
Expand the linear expression 6(7m+2)
Answer:
6(7m+2)=42m+12
Step-by-step explanation:
Step 1: Distribute the 6 to 7m and 2. So, 6 x 7m = 42m
Step 2: Multiply the 6 x 2 which equals 12.
Step 3: 42m+12
7+ 10 = 16 + 2 true or false
Answer:
no bc if you simplify it's 17=18 which is not right
Answer:
true
Step-by-step explanation:
because that has a solution
1. On a given day, Tyler runs twice as fast as his brother Ian on the local track. In one race, Ian gets a 330 meter head start, and they start running at the same time. After 21 seconds, Tyler catches up to Ian. Let x represent Ian’s rate (in meters/second). Write and solve an equation to find the rate that Ian runs. (Remember that distance = rate x time.) If you get a decimal answer, round to the nearest tenth.
Write the equation (2pts):
Solve the equation to find Ian’s rate (x) (2 pts):
Answer:
imma say 184 rpm
Step-by-step explanation:
What would an equation be for a line with a slope of 3 and a y-intercept of 7?
Answer:
y = 3x + 7
Step-by-step explanation:
Using the formula y = mx + b we can create this equation.
m = slope
b = y -intercept
based on the information provided I know that
Slope = 3
and
y-intercept = 7
Substitute:
y = mx + b
y = 3x + 7
y = 3x + 7 is the equation when the slope is 3 and the y intercept is 7.
Let us use the slope-intercept form for this, with m as the slope and b as a constant.
y = mx + b
7 = 3(0) + b [since the y-int is 7, the x value will be zero]
b = 7
y = 3x + 7
Can I try answering questions that are on your profiles
Please I need to earn points and brainliest
Answer:
Ok
Step-by-step explanation:
Go for it
Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".
Answer:
Step-by-step explanation:
E is just that Vertex/Angle.
[tex]sin[/tex] is a measure of an angle.
You should learn SOHCAHTOA
[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]
The opposite side is relative to the angle.
In this case, the opposite of E is 20
The hypotenuse is 29
so,
[tex]sin(E)= \frac{20}{29}[/tex]
Can somebody help? Tysm
Solve
Which equation in point-slope form, is represented by this graph?
y
−
3
=
1
2
(
x
−
4
)
y−3=
2
1
(x−4)
y
=
2
x
+
4
y=2x+4
y
−
3
=
3
(
x
−
4
)
y−3=3(x−4)
y
−
3
=
1
2
(
x
−
7
)
y−3=
2
1
(x−7)
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
Can you please explain how I got it wrong and how to get it right (thx)
What is the value of x in the figure?
A. 10
B. 6
C. 15
D. 12
Answer:
Step-by-step explanation:
You need to set up a proportion.
(21 - 15) / 21 = 4/(x + 4)
6 / 21 = 4/(x + 4)
2/7 = 4/(x + 4)
2(x + 4) = 7*4
2x + 8 = 28
2x + 8-8= 28 - 8
2x = 20
x = 20/2
x = 10
Evaluate |x^2 +9x| at x = -4
The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor
Answer:
346
Step-by-step explanation:
i think