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
klio [65]
3 years ago
6

Danielle has $6.65 worth of change in nickels and dimes. If she has 5 times as many nickels as dimes, how many of each type of c

oin does she have?
Mathematics
2 answers:
Wittaler [7]3 years ago
6 0

Answer:

There are 19 dimes and 95 nickels

Step-by-step explanation:

Represent the numbers of nickels and dimes by n and d.  Then n = 5d.

The value of the nickels is $0.05n and that of the dimes is $0.10d.  Together these two amounts come to $6.65:

$0.05n + $0.10d = $6.65.

But n = 5d.

Substituting 5d for n, we get:

$0.05(5d) + $0.10d = $6.65

Combining the two terms on the left, we get:

0.25d + 0.10d = 6.65, or

0.35d = 6.65.

Solving for d, we get d = 6.65/0.35, or d = 19.  Since n = 5d, n = 5(19) = 95.

There are 19 dimes and 95 nickels.

evablogger [386]3 years ago
4 0

Answer:

95 nickels 19 dimes

Step-by-step explanation:

d=dimes

5d=nickels

0.05(5d) + 0.10(d) = 6.65

0.25d + 0.10d = 6.65

0.35d=6.65

Divide by 0.35

d= 19 (19 coins)

19 dimes =$1.9

6.65-1.9= $4.75

Nickels=$4.75

4.75/0.05 = 95 coins

19*5=95

  114 coins in total

19*0.10 = 1.9

95*0.05=4.74

4.75+1.9= 6.65

You might be interested in
Add and subtract the rational expressions. 7x+5/x-1 -(8x1/x-1+2x-4/x-1) Which statements are true about the process for adding a
anzhelika [568]

Answer:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

Step-by-step explanation:

Given the rational expression

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )

Let us first simplify before making our deductions.

Opening the brackets

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )=\dfrac{7x+5}{x-1} -\dfrac{8x-1}{x-1} -\dfrac{2x-4}{x-1}

Taking LCM

=\dfrac{7x+5-(8x-1)-(2x-4)}{x-1}

Opening the brackets and simplifying

=\dfrac{7x+5-8x+1-2x+4}{x-1}\\\text{Collecting like terms in the numerator}\\=\dfrac{7x-8x-2x+5+1+4}{x-1}\\=\dfrac{-3x+10}{x-1}

The following statements are therefore true:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

5 0
3 years ago
I will mark you brainliest for the right answer and you must HURRY to get it! 15 points!
DENIUS [597]

A triangles three angles always sum up to 180 degrees. We must find angle B.

We already have angle A and C, so it's quite simple.

Angle A is 28*, and angle C is 36*

We add these two together

28 + 36 = 64

Now we subtract

180 - 64 = 116

Angle B = 116*


Hope this helps you! (:

-Hamilton1757

3 0
3 years ago
A rhombus is cut along the diagonals to make four triangles. Which three statements are correct for any rhombus? 1) All four tri
Nikolay [14]

Answer:

1). All four triangles are right-angled.

3.) All four triangles are congruent.

4) Area of a rhombus = 4 x area of one triangle.

Step-by-step explanation:

If a rhombus is cut into four triangles using diagonals, the three statements that would apply to any rhombus would be that 'all those four triangles would be right-angled,' 'the triangles would be congruent to one another,' and 'area of one triangle * 4 would be equal to the area of the rhombus.'

As we know, the diagonals bisect one another in a rhombus at 90° and the angles opposite to one another are equal. This <u>proves that all four triangles constructed through the diagonals would be ≅ through SSS congruency and perpendicular to one another because the corresponding edges of the congruent triangles are also ≅</u> . Since the rhombus is divided into four equal parts, the area of one triangle into four would be equals to the area of the rhombus. Thus, <u>options 1, 3, and 4</u> are the correct answers.

8 0
3 years ago
X 1/2 rational exponent
Lesechka [4]

Answer:

Step-by-step explanation:

Ok

7 0
3 years ago
What’s bigger - 2/3 or -0.8
Salsk061 [2.6K]

Answer:

-2/3  is greater than  -0.8

Step-by-step explanation:

-2/3 when made into a decimal is about -0.67

This is greater than -0.8 because -0.67 covers less area when put into a visual.

6 0
2 years ago
Read 2 more answers
Other questions:
  • How do you solve binomials
    14·1 answer
  • 400 meters to 350 meters
    11·1 answer
  • Select the correct answer.
    7·1 answer
  • PLEASE HELP GEOMETRY
    6·2 answers
  • Simplify the following numerical expressions.
    6·1 answer
  • Appoximate the value of 5 square root
    13·1 answer
  • Ardi and Lei are both travelling by train.
    13·1 answer
  • The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
    8·1 answer
  • Ava has $400 on her credit card. She bought a laptop for $315, and decided to spend the rest on shirts. The unit price of shirts
    15·1 answer
  • 1. Find the area of the finite region enclosed by the curve y=2√x and the lines x=3 and x=0.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!