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
ivann1987 [24]
3 years ago
8

Simone has a collection of coins consisting of 1 quarter, 1 nickel and 1 penny. Using at least two coins from the collection, ho

w many different sums of money are possible
Mathematics
2 answers:
Annette [7]3 years ago
8 0

Step-by-step explanation:

1 quarter + 1 nickel = 30c

1 quarter + 1 penny = 26c

1 nickel + 1 penny = 11c

1 quarter + 1 nickel + 1 penny = 31c

There are 4 different sums of money.

riadik2000 [5.3K]3 years ago
3 0

Answer:

4 different sums

Step-by-step explanation:

There are two ways to form a sum: either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us our answer of $3+1=\boxed{4}$ .

Hope this helped! :)

You might be interested in
Can someone please help me??
dmitriy555 [2]

Answer:

I is clear that, the linear equation 5x+12=5x-7 has no solution.

Step-by-step explanation:

<u>Checking the first option:</u>

\frac{2}{3}\left(9x+6\right)=6x+4

6x+4=6x+4

\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}

6x+4-4=6x+4-4

6x=6x

\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}

6x-6x=6x-6x

0=0

\mathrm{Both\:sides\:are\:equal}

\mathrm{True\:for\:all}\:x

<u>Checking the 2nd option:</u>

5x+12=5x-7

\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}

5x+12-5x=5x-7-5x

\mathrm{Simplify}

12=-7

\mathrm{The\:sides\:are\:not\:equal}

\mathrm{No\:Solution}

<u>Checking the 3rd option:</u>

4x+7=3x+7

\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}

4x+7-7=3x+7-7

\mathrm{Simplify}

4x=3x

\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}

4x-3x=3x-3x

\mathrm{Simplify}

x=0

<u>Checking the 4th option:</u>

-3\left(2x-5\right)=15-6x

\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}

-6x+15-15=15-6x-15

\mathrm{Simplify}\

-6x=-6x

\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}

-6x+6x=-6x+6x

\mathrm{Simplify}

\mathrm{Both\:sides\:are\:equal}

\mathrm{True\:for\:all}\:x

Result:

Therefore, from the above calculations it is clear that, the linear equation

5x+12=5x-7 has no solution.

4 0
3 years ago
Solve the following equation for y: 35x-7y=49​
Brrunno [24]
The answer is Y equals -7+5x
5 0
3 years ago
Read 2 more answers
The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

+> - 425*2 x + 45500 = 0

=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
3 0
3 years ago
A student divided 5 feet of ribbon into 3 equal parts. Which type of number describes the length of each part?
postnew [5]

Answer: 1.6 a decimal number

Step-by-step explanation: 5 ÷ 3 = 1.6

Or 1 foot and 6 inches

3 0
3 years ago
A rope is used to anchor a boat to the shore. The angle of depression from the boat to the water is 40° . The height of the boat
IrinaVladis [17]

Please refer the attached figure for better understanding of the solution

Here we are given that the angle of depression is 40°

And the height of the boat from the water is 25.17 ft

we need to find the length of the rope used which we can take as x

We can see that sin is the ratio that corresponds to the opposite side and the hypotenuse sides of the triangle formed

so we have

sin 40° = \frac{25.17}{x}

x=\frac{25.17}{sin 40}

x=\frac{25.17}{0.6427}

x= 39.16

Hence the length of the rope needed is 39.16 ft

3 0
3 years ago
Other questions:
  • Suppose the circumference of a circle is 15pi. What is its diameter?
    8·1 answer
  • What's the area and perimeter
    11·1 answer
  • The polygon below represents a regular octagon.
    5·1 answer
  • Write the sentence as an equation <br>k reduced by 340 is equal to 7​
    14·1 answer
  • Help!!<br><br>What's the absolute value of this integer?? :<br> I -9/14 I
    10·1 answer
  • ruby has 202 minutes left on her cell phone plan for the next 5 days. is it possible for ruby to use the same number of whole mi
    5·1 answer
  • Consider the line 4x+2y=-7.
    7·2 answers
  • 7 times 8 help pls I am sorry for a wasteful
    15·2 answers
  • Someone help and please make sure the answer is right :)
    5·2 answers
  • Help help help help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!