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
tangare [24]
3 years ago
9

Izzy is Iago's little sister. She is counting her coins. Izzy finds that she has three more quarters ($0.25) than she has dimes

($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes. With a total of $7.61 in coins, how many coins of each type does Izzy have?
Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Lzzy has three more quarters ($0.25) than she has dimes ($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes.

<em>Let us assume number of dimes = x.</em>

<em>"Three more quarters than dimes" would be = (x+3) quarters .</em>

<em>"Twice as many nickels as dimes " would be = (2x) nickels.</em>

<em>"Four times as many pennies as dimes" would be =(4x) pennies.</em>

Total value of all coins = $7.61.

We can setup an equation now.

0.10*x + 0.25(x+3) + 0.05(2x)+0.01(4x)=7.61.

Let us simplify the equation.

0.10x + 0.25x + 0.75 + 0.10x + 0.04x = 7.61

0.49x + 0.75 = 7.61.

Subtratcing 0.75 from both sides, we get

0.49x = 6.86

Dividing both sides by 0.49, we get

x= 14.

Therefore,

<h3>Number of dimes = x = 14.</h3><h3>Number of quarters = (x+3) = 14+3 = 17.</h3><h3>Number of nickels = 2x = 2*14 = 28.</h3><h3>Number of pennies = 4x = 4*14 = 56.</h3>
You might be interested in
What is the greatest common factor of 120 and 168
GaryK [48]

Answer:

24

Step-by-step explanation:

gcf for that is 24 I think

5 0
3 years ago
Read 2 more answers
The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20
PilotLPTM [1.2K]

Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

  • The volume of the pool = 1472m³
  • The length of the pool = 36.8m
  • The width of the pool = 20 m

Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

                              = 2 meter

Hence, the depth of the YMCA lap pool is 2 meters.

Learn more about Volume here:

brainly.com/question/13338592

#SPJ1

3 0
1 year ago
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: D
Igoryamba

Answer:

Fraction = \frac{19}{50}

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = \frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}

                                                                     = \frac{38}{100}

                                                                     = \frac{19\times 2}{50\times 2}

                                                                     = \frac{19}{50}

Decimal form of the shaded area = \frac{38}{100} =  0.38

Percent of the shaded area = \frac{38}{100} = 38%

7 0
3 years ago
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
kirza4 [7]

Okay follow these patterns and you will always get your answer

Cone = (13)πr2h, where r is the radius and h is the height.

Cube = s2, where s is the length of the side.

Cylinder = πr2h, where r is the radius and h is the height.

Rectangular prism= l×w×h, where l is the length, w is the width and h is the height.

Sphere = (43)πr3, where r is the radius.

ANSWER: (D) 904.78 cm^3

5 0
3 years ago
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distan
zalisa [80]

Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

4 0
3 years ago
Other questions:
  • Question 2 (1 point)<br> What is 0.000003012 written in scientific notation?
    5·1 answer
  • FIND INVERSE OF Y=3X+9/7
    10·1 answer
  • 1. Solve the shape equation puzzle?
    6·1 answer
  • F(x)=2x+5 g(x)=4x^2 <br> Evaluate (fg)(x)
    15·1 answer
  • What is the area of a trapezoid that has bases measuring 19 centimeters and 23 centimeters, and a height of 14 centimeters?
    13·1 answer
  • Fill in the blanks. Optionshouse tracked the performance of their most active day traders and found that the probability of a wi
    12·1 answer
  • What is the answer when subtracting (-3y2-8)-(5y2+1)?
    14·1 answer
  • Which statements are true regarding the diagram? Check all that apply.
    10·2 answers
  • What is the gcf of 15ab and 18b
    12·1 answer
  • Plz this one can you answer
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!