So many confusing details. So, I rephrase the question as:
Four volunteers picked up litters from the park.
Dominic collect 15 pieces less than Sarah. Sarah collects 12 more pieces than Piper. Piper collected 1/4 as many pieces of letter as Vaughn. Vaughn has collected nine more pieces of letter than everyone else combined. Let x represent the number of pieces of litter in Vaughn's Collection. Find x
Answer:
[tex]x = 72[/tex]
Step-by-step explanation:
Let:
[tex]D = Dominic;\ \ S = Sarah;\ \ P = Piper;\ \ V = Vaughn[/tex]
From the [rephrased] question, we have:
[tex]D = S - 15[/tex]
[tex]S = 12 + P[/tex]
[tex]P = \frac{1}{4}V[/tex]
[tex]V = 9 + D + S + P[/tex]
Substitute [tex]S = 12 + P[/tex] in [tex]D = S - 15[/tex]
[tex]D = 12 + P - 15[/tex]
[tex]D = P+12 - 15[/tex]
[tex]D = P-3[/tex]
Make V the subject in [tex]P = \frac{1}{4}V[/tex]
[tex]V = 4P[/tex]
Substitute: [tex]V = 4P[/tex], [tex]D = P-3[/tex] and [tex]S = 12 + P[/tex] in [tex]V = 9 + D + S + P[/tex]
[tex]4P= 9 + P - 3 + 12 + P +P[/tex]
Collect like terms
[tex]4P - P -P-P= 9 - 3 + 12[/tex]
[tex]P= 18[/tex]
Substitute [tex]P= 18[/tex] in [tex]S = 12 + P[/tex]
[tex]S = 12 +18[/tex]
[tex]S = 30[/tex]
Substitute [tex]S = 30[/tex] in [tex]D = S - 15[/tex]
[tex]D = 30 - 15[/tex]
[tex]D =15[/tex]
Substitute [tex]D =15[/tex], [tex]S = 30[/tex] and [tex]P= 18[/tex] in [tex]V = 9 + D + S + P[/tex]
[tex]V = 9 + 15 + 30 + 18[/tex]
[tex]V = 72[/tex]
x represents the number collected by Vaughan.
So:
[tex]x = 72[/tex]
Please answer AND Explain ASAP. Whoever has the best explanation will get brainiest
I'm trying to understand this!!
Answer:
eric=12
bill=16
Step-by-step explanation:
you can solve this using two simple algebraic equations. this is the key I will be using:
x=bill
y=Eric
x+y=28
x=y+4
since x is by itself in the second equation, I can replace the x in the first equation with y+4
(y+4)+y=28
subtract 4 from both sides
y+y=24
which is also 2y=24
divide both sides by two.
y=12
so now we know Eric is 12 years old.
using this, we can replace the "y" in the second original equation (x=y+4)
x=12+4
x=16
Bill is 16 years old.
Kip took out a loan for $750. He earned $60 in interest and his interest
rate was 4%. How long did he take to repay the loan?
1 year
2 years
2.5 years
3 years
9514 1404 393
Answer:
(b) 2 years
Step-by-step explanation:
The interest formula is ...
I = Prt . . . . interest rate r on principal P for t years
We can fill in the known values and solve for t.
60 = 750·0.04·t
60/30 = t = 2
The loan was repaid in 2 years.
pls help i will give brainliest
Answer:
28.26
Step-by-step explanation:
A
=
π
r
2
=
π
·
3
2
≈
28.27433
The box shown has a volume of 8 cubic inches.
image
If it is a cube, how long does each side measure?
Answer:
The answer is 2
Step-by-step explanation:
If we use the formula for volume LWH=V. We also take in the fact that a cube has the same measure on every side. and we input 2 for L , W , and H
Which is 2*2*2=8
The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1997 his card was worth $4.51 The value has increased by $1.02 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 2008?
Step-by-step explanation:
When he retired in 1997 his card was worth $4.51 The value has increased by $1.02 each year since then.
Express the relationship relating the value of the card y in dollars and the number of years x
y = $1.02 x + $4.51
Is the relationship between x and y proportional?
Yes. This is because as x increases, the value of y also increases.
What was the value of the card in 2008?
Number of years from 1997 to 2008 = x = 11
y = $1.02 x + $4.51
y = $1.02 (11) + $4.51
y = $ 11.22 + $4.51
y = $ 15.73
Multiply each equation by a number that produces opposite coefficients for x or y 1/3x -2/3 y=7
Answer:
Attached
Step-by-step explanation:
Two angles are complementary. The measure of angle W is four times the
measure of angle N plus 10 degrees. What is the measure of angle N?
someone please solve
Answer:
B
Step-by-step explanation:
Radius is half of diameter so r is 36
[tex]4/3\pi r^3[/tex] is volume of sphere
using 3.14 as pi you get 195,333.12 cubic cm
answer asap! will give brainliest, question in pic!
Answer:
Im 95% sure that it is most likely the first one.
Step-by-step explanation:
image down below thx
Answer: I thinks its B
Step-by-step explanation:
What is the classification for this polynomial? 5 Click on the correct answer monomial binomial trinomial
Complete the equation of the line whose slope is -5/3
and y-intercept is (0, -2).
Answer:
these are tough, it takes a lot of practice to get used to these, sooo
Step-by-step explanation:
we know the slope, m= -5/3, and we're given a point so use the point slope formula
y= mx + b
the point we are given is in this form (x,y)
then plug the information into our point slope formula
y = (-5/3) x + (-2)
y = -5x/3 -2
5x^2-44x+130=-30+16x
Answer:
if its answer for x its
Step-by-step explanation:
=4
=8
should i add, multiply, subtract, or divide n+16=9
Answer:
subtract
Step-by-step explanation:
16 from 9
n = 9 - 16
n = -7
Please help me, its due in a few minutes. There are multiple slides!
Not trying to be picky but please answer all if able to!
Answer:b
Step-by-step explanation:
Answer:
1- B
2- D
3- ?
4- B
5- ?
For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?
Answer:
k = (6/15)
Step-by-step explanation:
The equation is:
6*(x + 1) + 2 = 3*(k*5*x + 1) + 3
To have no solutions, we need to have something like:
x + 7 = x + 4
where we can remove x in both sides and end with
7 = 4
So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.
First, let's try to simplify our equation:
6*(x + 1) + 2 = 3*(k*5*x + 1) + 3
6*x + 6 + 2 = 3*k*5*x + 3*1 + 3
6*x + 8 = 15*k*x + 6
if 15*k = 6, then the system clerly has no solution.
then:
k = 6/15
then we get:
6*x + 8 = (6/15)*15*x + 6
6*x + 8 = 6*x + 6
8 = 6
The system has no solutions.
Congruent Triangles will mark brainiest with thorough explanation.
AAS
SAS
ASA
Can't Determine
ASA
Angle-Side-Angle
AAS is the same but the order in different.
SAS is a no because there are no two S.
Can't determine bah! You can determine.
PLEASE BRAINLIEST
Answer:
The markings are different.
SAS and ASA would work, as you can count the sides and angles respectively, however, the markings are different, so I am not sure.
Actually I was wrong. Please give the other person credit.
what is the disadvantage and advantage
Answer:
An advatage is that he has a scholorship to pay most of his college or school, but a disadvantage is that he will need to pay back his student loan.
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
One advantage would be with a student loan he could probably get more money than a scholarship however the disadvantage is he would eventually have to pay that money back in the future. A scholarship would be free money given by a college but he would receive it in small amounts.
If x is a rational number and y-2/3
which statement describes the sum of x and y?
Answer:
to be honest I dont know I'm not that good at math....
Answer:
The answer is (A) The sum of x and y is a rational number.
Which of the following is NOT a solution for the inequality below? Please look at the picture
what is the solution
y=-4x+20 y=2x-22
Answer: x=7 y=-8
Step-by-step explanation:
Can someone put this equation in standard form for me?
y-3=1/5(x-3)
Standard form : Ax+By=C
Answer:
-x + 5y = 12
Step-by-step explanation:
Eliminate the fractional coefficient by multiplying both sides by 5:
5y - 15 = x - 3
Combine the constants: 5y = x + 12
Subtract x from both sides: -x + 5y = 12 This is in standard form
Write an equation of the line with a slope of -2/7 and a y-intercept of 5.
the formula is y=mx+b
mx is the slope and b is the y-intercept
y=-2/7+5
---
hope it helps
Plz help
What decimal is equivalent to 21/25
Solve (3x-4)-(5x-3) and simplify the answer!
Answer:
-2x-1
Step-by-step explanation:
(3x-4)-(5x-3)
Distribute the minus sign
3x-4-5x+3
Combine like terms
3x-5x -4+3
-2x-1
35,651,000,000 in to scientific notation
PLEASE PLEASE PLEASE HELP!!
Answer:
B is the answer.
Since 7 and 12 are both the legs of the right triangle, we are going to use pythagorean theorem.
[tex] {7}^{2} + {12}^{2} = {c}^{2} [/tex]
Isolate side c
[tex] \sqrt{ {7}^{2} + {12}^{2} } = c[/tex]
1. The change in the population of fruit flies can be modeled by the equation f(t) = 3(1.50), where
t is time in days. Which statement describes the change in population of fruit flies?
a. 1.50% decrease daily
c. 50% increase daily
b. 1.50% increase daily
d. 50% decrease daily
(07.01)What is the value of x in the equation 8 + x = 3?
-5
5
11
24
Answer:
-5
Step-by-step explanation:
Which expression is equivalent to (8m + 6) + (3m - 2) ?
Answer:
(11m-4)
Step-by-step explanation:
8m+3m=11m
6-2=4