F(4p + 3) = 8 - 5(4p + 3)
=============================
[tex]\large\bold{Equation:}[/tex]
[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex][tex]\large\bold{Solution:}[/tex]
Let's solve for f
[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]
1st step: Factor out variable f
[tex]\large\sf{F(4p+3)=−20p−7}[/tex]2nd step: Divide both sides by 4p+3
[tex]\large\sf{ \frac{F(4p + 3)}{4p + 3} = \frac{ - 20p - 7}{4p + 3} }[/tex][tex]\large\sf{F = \frac{ - 20p - 7}{4p + 3} }[/tex][tex]\large\bold{Answer:}[/tex]
[tex]\large\tt{F = \frac{ - 20p - 7}{4p + 3} }[/tex]===================================
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What is the x-intercept of the line with this equation
8x-1/3y=16
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
You find the x-intercept by setting y=0 and solving for x.
8x -1/3(0) = 16
8x = 16
x = 16/8 = 2
The x-intercept is 2.
_____
Additional comment
As you can see, the x-intercept is the ratio of the constant to the x-coefficient. The same is true for the y-intercept. It is 16/(-1/3) = -48.
the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC
2. m2BDC=3(x-5) and m--BC=x+25,what is MZA
3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC
4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?
Answer:
[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]
Step-by-step explanation:
Find the 75th term of the arithmetic sequence -21, -10, 1
Answer:
793
Step-by-step explanation:
Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.
So, -10--21=11 and also 1--10=11
so common difference is 11
now we will use the formula Asubn=Asub1+d(n-1)
D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1
Anyways, Asub75=-21+11(75-1)=793
at the mud factory, people's job is to scoop up mud and make it into kilogram blocks of mud. She loves her job today there were 2,913 milligams of mud trucked in. Each mud block is precisely 1 kilogram, no less no more. How many mud blocks can she make today
Answer: 0 bricks
Step-by-step explanation:
2,913 milligrams (mg) is only 2.913 grams. It takes 1,000 grams to make a kilogram. 2,913 mg is only 0.002913 kg.
The amount of oil it takes to cover the bottom of a frying pan.
Answer:
about 1 cup maybe less
Step-by-step explanation:
help me with this please
Answer:
what do you need help with
Which is a component of cell theory
○ Cells come from bacteria.
○ Cells come from cells.
○ Cells come from nonliving matter.
○ Cells come from non-cells.
Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement (SELECT TWO ANSWERS)
Options:
A) AAS
B)ASA
C) HL
D) CDE ≅ FDE
E) DEC ≅ EDF
F) ECD ≅ DFE
Answer:
A) AAS
D) CDE ≅ FDE
Step-by-step explanation:
∠C ≅ ∠F Given
∠DEC ≅ ∠EDF Given
DE ≅ DE Reflexive property
ΔCDE ≅ ΔFDE AAs congruent
Mom bought a bag of 12 apples. She discovered that 1/6 of the apples were spoiled. How many apples were spoiled? How many unspoiled apples does Mom have?
If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides
the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:
- The side opposite the 30° angle is half the length of the hypotenuse.
- The side opposite the 60° angle is √3 times smaller than the hypotenuse.
- The hypotenuse is twice the length of the side opposite the 30° angle.
Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).
Then:
- The side opposite the 30° angle = x = 0.5 inches
- The side opposite the 60° angle = √3 * x = √3/2 inches
- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch
So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
Learn more about triangle here
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The basketball team and volley ball team are having a competition to see which team can raise the most money for a local charity.
The basketball team is selling raffle tickets for 4.50 each and has already raised $275
The volleyball team is selling raffle tickets $2.50 each and has already raised $500
write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets
Basketball Team: ____________
Volleyball Team: ____________
write an equation that would represent when the basketball team would have more money than the volleyball team.
How many tickets would the basketball team need to sale to have more money than the volleyball team?
Basketball Team Equation: _________
Volleyball Team Equation: _________
Basketball answer:_____
Volleyball answer:_____
Answer:
Step-by-step explanation:
write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets
Basketball Team: T(B) = 4.50x(B)
Volleyball Team: T(V) = 2.50x(V)
The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).
We know the amounts each team has raised, sio we can calculate the number of tickets:
Basketball
$275 = $4.50x(B)
x(B) = 61.11 [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]: 61 tickets from the Baseball team
$500 = $2.50x(V)
x(V) = 200 tickets from the Volleyball team
---
"write an equation that would represent when the basketball team would have more money than the volleyball team."
We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]
T(B)/T(V) = ($4.50x(B))/($2.50x(V))
1 <= ($4.50/$2.50)*(x(B)/x(V))
1 <= 1.8(x(B)/x(V))
x(V) <= 1.8*(x(B))
The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.
----
The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.
To reach $500:
$500 = $4.50*x(B)
x(B) = 111.11 (Another rounding problem, but we don't need to worry. It wants to kniow "how many MORE."
(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.
PLS HELP ME QUICKLY THANK U :) :()
Answer:
x = 1/2 or x = 2/3
Step-by-step explanation:
6x^2 = 7x - 2
=> 6x^2 - 7x + 2 = 0
=> 6x^2 - 3x - 4x + 2 = 0
=> 3x (2x - 1) -2 (2x - 1) = 0
=> (2x - 1) (3x - 2) = 0
2x - 1 = 0
=> 2x = 1
=> x = 1/2
or
3x - 2 = 0
=> 3x = 2
=> x = 2/3
Hopefully this helps!!
Answer:
x = [tex]\frac{2}{3}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6x² = 7x - 2 ( subtract 7x - 2 from both sides )
6x² - 7x + 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 2 = 12 and sum = - 7
The factors are - 3 and - 4
Use these factors to split the x- term
6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
a sequence is given by the rule 4n^2
work out the 3rd term in the sequence
Answer: See below.
Step-by-step explanation:
See attachment. It depends on what is considered the "third" term. If n=2 then the result is 16. If 3, the result is 36.
What is the sum of 3/12 + 2/12
Answer:
5/12
Step-by-step explanation:
Graph y=-6 please please please
Answer:
Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7
PLEASE HELP
Please factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answer:
-3xy^3 (7xy^2z-4y-12)
Step-by-step explanation:
Simply factor out "-3xy^3." GL!
Answer:
so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation:
What is -5/6 – (-5/6)?
Answer:
0
Step-by-step explanation:
-5/6 - (-5/6)
Negative times a negative is a possitive
-5/6 + 5/6
0
Hopes this answers your question. :)
Answer: 0
Step-by-step explanation:
-5/6 - -5/6 =
-5/6 + 5/6 =
-5 + 5
6
= 0/6
=0
Pls help me with this!!
Answer:
76 quarters, 3 dimes
Step-by-step explanation:
if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents
Answer:
66 Quarters and 28 dimes
Step-by-step explanation:
.10d + .25Q = 19.3Q
d + Q = 94
so d = 94 - Q
Substitution method:
.10(94 - Q) + .25Q = 19.30
9.4 - .10Q + .25Q = 19.30
9.4 + .15Q = 19.30
.15Q = 9.9
Q = 66 so d = 94 - 66 = 28
Help plzzz I am not good at this!!!
Answer:
-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)Step-by-step explanation:
To complete the 1st model you have to put 5 red chips
To complete the 2nd model you have to put 10 yellow chips
To complete the 3rd model you have to put 8 red chips
But to understand why we are putting a certain number of yellow or red chips
we have to understand the zero pairs method meaning one positive and one negative zero out each other
If your bill at the Olive Garden was $39.90 and you wanted to leave a 22% tip, how much tip would you leave? (round to the nearest hundredth)
Answer:
22
Step-by-step explanation:
it's 22 percent I don't get how do u need help
What is the solution (pls help ASAP )
Answer:
c the factor of the inequality is correct - took this test already
Step-by-step explanation:
An advertisement for a box of crackers says that the new box has 20% more crackers than the original box. If the weight of the original box was 12 ounces, what is the weight of the new box of crackers?
Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.
The old box weighed 12 ounces and the new box has 20% more than the old box had.
The new box should therefore weigh 20% more than the old box which means that it weighs:
= Weight of old box x ( 1 + increase in new box)
= 12 x (1 + 20%)
= 14.4 ounces
In conclusion, the new box weighs 14.4 ounces.
Find out more at https://brainly.com/question/2051201.
I need help i have no clue what to do!
Answer:
Step-by-step explanation:
-6x-2y= -26
3(-6x-2y)= -26*3
-18x-6y= -78
(subtract this from the first equation)
(-2x-6y)-(-18x-6y)= -14+78
16x=64
x=4
Now that we know x= 4 we can plug that into an equation and solve for y
-2(4)-6y= -14
-8-6y= -14
-6= -6y
y= 1
x=4
y= 1
(4,1)
what do you guys think the answer is?
Explanation:
Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.
To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.
To go from A to D, we do the following steps
move to the right 9 spacesmove up 6 spacesCut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.
To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.
Everything is marked in the diagram below.
Simplify the expression.
(6/7c)^2
A.) 12/14c^2
B.) 42c^2
C.) 36/7c D.) 36/49c^2
we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2
so the answer is D
ok done. Thank to me :>
PLEASE HELP
Which of the equations below contains the two points listed? (5,9) (6,9) A x=-9 B x=9 C y=-9 D y=9
Answer: y=9
Step-by-step explanation:
both points have 9 as the y coordinate
1. Write the following statements in the from of equations.
a. if you subtract 6 from 3 times a number, you get 18.
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
3x - 6 = 18Hope it helps!
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If
x
=
5
and
y
=
7
, evaluate the following expression:
100
−
3
(
3
y
−
4
x
)
Answer:
97
Step-by-step explanation:
100-3(3y-4x)
97(3×7-4×5)
97(21-20)
97(1)
=97