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
Andrew [12]
4 years ago
9

Problem Solving Strategies: Document the strategies used to solve for the question and complete work on separate piece of paper.

Mathematics
1 answer:
julsineya [31]4 years ago
3 0

Answer:

26 Dimes, 13 Quarters and 13 Pennies = 13(0.10) + 13(0.25) + 26(0.01) = $ 5.98

Step-by-step explanation:

Worth of each of the coins is as follows:

Dime = $ 0.10

Quarter = $ 0.25

Penny = $ 0.01

Total worth of all the coins Dylan had is $ 5.98.

When Dylan made the stacks, there were same number of coins in 2 of the stacks and twice the number of coins in the 3rd stack.  Let n be the number of coins in each of the two stacks with same number of coins. So 2n will be the number of coins in 3rd stack. Since, Dylan had 52 coins in total, we can set up the equation as:

n + n + 2n = 52

4n = 52

n = 13

There are 13 coins in two stacks and 26 coins in 3rd stack. Based on this following are the 3 possibilities:

  • 13 Dimes, 13 Quarters and 26 Pennies
  • 13 Dimes, 26 Quarters and 13 Pennies
  • 26 Dimes, 13 Quarters and 13 Pennies

Value of the coins in total must be $ 5.98. Lets find the value of each of these combinations:

  • 13 Dimes, 13 Quarters and 26 Pennies = 13(0.10) + 13(0.25) + 26(0.01) = $ 4.81
  • 13 Dimes, 26 Quarters and 13 Pennies = 13(0.10) + 26(0.25) + 13(0.01) = $ 7.93
  • 26 Dimes, 13 Quarters and 13 Pennies = 13(0.10) + 13(0.25) + 26(0.01) = $ 5.98

Therefore, the correct combination of coins would be:

26 Dimes, 13 Quarters and 13 Pennies = 13(0.10) + 13(0.25) + 26(0.01) = $ 5.98

You might be interested in
The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-
Andrew [12]

There are (A) 2.7 bacterias initially.

<h3>What is a function?</h3>
  • A function is an expression that establishes the relationship between the dependent and independent variables.
  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.
  • The set X is known as the function's domain, while the set Y is known as the function's codomain.
  • Originally, functions were the idealization of how a variable quantity depends on another quantity.

To find the number of bacteria:

  • The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ).
  • The starting number of bacteria is then 2.7.

Therefore, there are (A) 2.7 bacterias initially.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

The correct question is given below:
The growth of a strain of bacteria can be modeled by

the function graphed, where the x-values are the time

in seconds and the y-values are the number of

bacteria. How many bacteria are there initially?

(A) 2.7

(B) 2.8

(C) 4

3 0
2 years ago
Simplify <br><br> 3a^2b^3c^5<br> __________________<br><br> 8x^4y^3z
Jobisdone [24]
We have to rewrite the expression so that it has no denominator.
For example:
1 / x = x^(-1)
1/8 = 8^(-1); 1/x^(4) = x^(-4); 1/y^(3) = y^(-3); 1/z = z^(-1).
\frac{3a ^{2} b ^{3}c ^{5}  }{8 x^{4}y ^{3}z  }= \\ =3 a^{2}b ^{3}c^{5}8^{-1}x ^{-4}y^{-3}z^{-1}
7 0
4 years ago
Read 2 more answers
5x - 3 + 7y <br>x= 3 y= -7
Marysya12 [62]
The answer is -37! You would substitute the numbers you were given for the variables so the equation would become 5(3) -3 + 7(-7)
7 0
3 years ago
Newton’s law of universal gravitation, F=Gm1m2/r²,measures the force of gravity between two masses m1 and m2,where r is the dist
Pavel [41]

Answer:

G=\frac{Fr^2}{m_1m_2}

Step-by-step explanation:

Since our equation is F=\frac{Gm_1m_2}{r^2} and we want to solve for G, first we divide both sides by the product m_1m_2, which gives:

\frac{F}{m_1m_2}=\frac{Gm_1m_2}{m_1m_2r^2}=\frac{G}{r^2}

So we are left with:

\frac{F}{m_1m_2}=\frac{G}{r^2}

Now we multiply both sides by r^2, which gives:

\frac{Fr^2}{m_1m_2}=\frac{Gr^2}{r^2}=G

Which gives us our final formula:

G=\frac{Fr^2}{m_1m_2}

6 0
4 years ago
What things should be written in the conclusion of letter <br>​
GarryVolchara [31]

Answer:

Your signature, and a nice 4-word goodbye

Step-by-step explanation:

Your signature so they know it was YOU who wrote it and a nice 4-word goodbye to show the other person that you care.

3 0
3 years ago
Other questions:
  • Jessica is going to a vegetable shop. She buys some lady fingers for $23, some potatoes for $30,
    10·1 answer
  • Based on the net shown below, what is the surface area of the pyramid to the nearest square inch. please show work
    10·1 answer
  • What does a supplementary angle look like
    7·1 answer
  • If angle a=11* what does angle be equal
    12·2 answers
  • You want to find the width, AB, of a river. You walk along the edge of the river 100 ft and mark point C. Then
    6·1 answer
  • Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
    12·1 answer
  • A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2
    15·1 answer
  • Find the perimeter of the image below.
    15·1 answer
  • WHAT IS 3x3+5-6+2= <br> iN SHOW YOUR ANSWER
    8·1 answer
  • I'm very confused on how to do this​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!