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
eimsori [14]
3 years ago
12

Katie has a collection of nickels dimes and quarters with a total value of $4.20 there are 7 more dimes than nickels and six mor

e quarters and nickels how many of each coin does she have
Mathematics
1 answer:
Aneli [31]3 years ago
7 0
Katie, Let the number of nickles = N Since there are 7 more dimes than nickles, the number of dimes D = N + 7 Since there are 4 more quarters than nickles, the number of quarters Q = N + 4 Since quarters = $0.25, dimes = $0.10, and nickles = $0.05 and all added together = $4.90 ⇒  0.25·Q + 0.10·D + 0.05·N = 4.90 Now multiply through by 100 to eliminate the decimal: 25Q + 10D + 5N = 490 Substitute for Q and D 25(N+4) + 10(N+7) + 5N = 490 25N + 10N + 5N +100 +70 = 490 40N + 170 = 490 ⇒ 40N = 320 ⇒ N = 320/40 N = 8, D = N+7 = 15 Q = N+4 = 12 Check: 25(12) + 10(15) + 5(8) = 300 + 150 + 40 = 490
You might be interested in
What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8?
MrRa [10]
I think it’s 6 but i’m not sure
6 0
3 years ago
A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vert
fgiga [73]

Answer:

0.3125

Step-by-step explanation:

If it decreases by 50% each time it hits the ground then all you have to do is divide 10 by 2 (50%) each time it bounces.

10 / 2 = 5 (first bounce)

5 / 2 = 2.5 (second bounce)

2.5 / 2 = 1.25 (third bounce)

Ect. . .

Until on the fifth bounce it is 0.3125m high.

3 0
3 years ago
Does the image reflect over the x or y axis ?
Zolol [24]

Answer:

actually both

Step-by-step explanation:

have a great day

5 0
3 years ago
Simplify (2 {sqrt 5}+ 3 {sqrt 7})^2. Show your work. Justify each step.
White raven [17]
(2√5 + 3(√7))^2
(2√5 + 3(√7))(2√5 + 3(√7))
4*5 + 6√35 + 6√35 + 9*7
20 + 12√35 + 63
20 + 63 + 12√35
83 + 12√35
4 0
4 years ago
Convert the rectangular equation to polar form.
N76 [4]
To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
r= \sqrt{x^2+y^2}
and θ is given by the arctan of the ratio of y to x.
\theta=\tan^{-1} \frac{y}{x}
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
r= \sqrt{3^2+4^2} = \sqrt{9+16} = \sqrt{25} =5 \\ \theta=\tan^{-1}( \frac{4}{3}) =53.13^o
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
3 0
3 years ago
Other questions:
  • How many triangles can be constructed using the following three side lengths: 4.8 cm, 2.1 cm, and 2.6 cm?
    7·1 answer
  • Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)
    8·1 answer
  • What is 20 times greater than 0.08?
    8·1 answer
  • A blood test to detect prostate cancer in men gives a positive result 96% of the time if a person has prostate cancer, and it is
    10·2 answers
  • Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis? A. point U B. point V C. point W D. point X
    7·1 answer
  • Eric Schneider's bank statement shows a previous balance of $974.95. He made deposits of $246.00 and
    8·1 answer
  • Round 6824.8759 to the nearest tenths place
    5·1 answer
  • Julie buys 19 identical calculators.
    5·1 answer
  • A company manufactures plastic eggs, filling each egg with either a prize - a piece of candy -or no prize – a rock. Natasha’s fa
    14·1 answer
  • HELP! If the area of a rectangle is 10x^2+3x-4 and the width is 2x-1, what is the side length of the rectangle?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!