1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mazyrski [523]
4 years ago
15

Please help me solve this problem.

Mathematics
1 answer:
Tasya [4]4 years ago
6 0

Let

x-------> total peanuts originally from the bag

we know that

1) Phillip took 1/3 of the peanuts from the bag--------> (1/3)*x

remaining=x-(1/3)*x-------> (2/3)*x

2) Joy took 1/4 of the remaining peanuts-------> (1/4)*[(2/3)*x]----> (1/6)*x

remaining= (2/3)*x-(1/6)*x------> (1/2)*x

3) Brett took 1/2 of the remaining peanuts------> (1/2)*(1/2)*x-----> (1/4)*x

remaining= (1/2)*x-(1/4)*x-------> (1/4)*x

4) Preston took 10 peanuts------> 10

(1/4)*x-10=71----> multiply by 4 both sides----> x-40=284----> x=324 peanuts

5) Total originally peanuts from the bag is equal to 324 peanuts

6) Phillip took (1/3)*x-----> (1/3)*324=108 peanuts

7) Joy took (1/6)*x------> (1/6)*324=54 peanuts

8) Brett took (1/4)*x------> (1/4)*324=81 peanuts

9) Preston took 10

so

check

108+54+81+10=253

remaining=324-253------> remaining=71-------> is correct

You might be interested in
Lien Chen took out a single-payment loan for $2300.00 at 6.25% ordinary interest to pay for her federal income tax bill. If the
Assoli18 [71]

Using simple interest, it is found that she would have to pay the loan back on May 17.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, the parameters are:

A(t) = 2317.97, A(0) = 2300, r = 0.0625

Solving for t, we have that:

A(t) = A(0)(1 + rt)

2317.97 = 2300(1 + 0.0625t)

1 + 0.0625t = \frac{2317.97}{2300}

1 + 0.0625t + 1.00781304348

0.0625t = 0.00781304348

t = \frac{0.00781304348}{0.0625}

t = 0.125

Considering a year has 365 days:

0.125 x 365 = 46

46 days after April 1, hence she would have to pay it back on May 17.

More can be learned about simple interest at brainly.com/question/25296782

4 0
2 years ago
1 free pass to heaven if you help and get it right
AURORKA [14]
Grow between years 3 and 4. Amount was 8 (24.24%)
4 0
3 years ago
Read 2 more answers
F(x)=-3x • G(x) = x +7
kirill [66]

Answer:

-3x^2 - 21x

Step-by-step explanation:

This question is representing multiplying two functions :

We are finding f(x) * g(x)

We know that f(x) is -3x and g(x) is x + 7, therefore :

(-3x)(x + 7)

Follow FOIL :

First :

(-3x)(x)

-3x^2

Outer :

(-3x)(7)

-21x

Therefore the answer is :

-3x^2 - 21x

7 0
3 years ago
What is the inverse of f(x)=1/17x-3​
Zielflug [23.3K]

Answer:

17x+51

Step-by-step explanation:

6 0
4 years ago
What is the formula for a cone in geometry
deff fn [24]
V=pie r square h/3
Hope you get the picture!
7 0
3 years ago
Read 2 more answers
Other questions:
  • If j, k, and n are consecutive integers such that 0 &lt; j &lt; k &lt; n and the units (ones) digits of the product jn is 9, wha
    11·1 answer
  • What is the radius of the cone
    9·2 answers
  • Please help No clue on this one
    11·1 answer
  • Which is a simplified form of the expression 2(2j + 3) – 3j? A. -j + 3 B. 2j + 3 C. j + 6 D. -j + 6
    13·1 answer
  • 50 pts help pls...
    11·1 answer
  • *giving brainliest*<br>suppose cos(x)=-1/3, where pi/2=&lt;x=&lt;pi. what is the value of tan(2x)?​
    10·1 answer
  • Solve for x.6x^2=4x+10
    6·1 answer
  • PLEASE HELP it means a lot !
    9·2 answers
  • Calculate the side lengths of the given scale.
    15·1 answer
  • Complete the formula, where P is the population and and is the number of years
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!