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
Mrrafil [7]
3 years ago
5

A man has two more nickels than dimes. He has $1.15 in all. How many coins of each kind does he have?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

Man has 9 Nickels and 7 dimes.

Step-by-step explanation:

Let Number of dimes be x

and Number of Nickels be y

As Per given data he has two more nickels than dimes.

y= 2+x\\

As we know that

1\$ = 100 cent

1 nickel is worth = 5 cents = \frac{5}{100}= 0.05\$

1 dime is worth = 10 cents = \frac{10}{100} 0 .1\ $

According to given data he has \$\ 1.15 total nickel and dimes

So the equation becomes,

0.05y+0.1x=1.15

but y= 2+x

0.05(2+x)+0.1x=1.15\\0.1+0.05x+0.1x=1.15\\0.1+0.15x= 1.15\\0.15x= 1.15-0.1\\0.15x=1.05\\x=\frac{1.05}{0.15}= 7

Substituting value of x in equation y = 2+x we get

y= 2+7 =9

Man has 9 Nickels and 7 dimes.

You might be interested in
The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T
ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

(x-3)^{2} + (y+4)^{2} = 9 (i)

The general equation of circle is mentioned below,

(x-h)^{2} + (y-k)^{2} = r^{2} (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

(x-3)^{2} = (x-h)^{2}

(x-3) = (x-h)

h = 3

(y+4)^{2} = (y-k)^{2}

(y+4) = (y-k)

k = -4

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0
3 years ago
Read 2 more answers
Which equation has no real solutions
Pavel [41]

Answer:

the third one

Step-by-step explanation:

because if we calcul Δ

we get a negative number

3 0
2 years ago
Need ASAP I’ll mark brainliest if right
katen-ka-za [31]
Area= 50.24 or 50.2 rounded to the nearest tenth
5 0
3 years ago
Please help me on this will give you brainliest
NNADVOKAT [17]

Answer:

Step-by-step explanation:

1

-

8 exponent 9

7 0
3 years ago
ayeee random question but when i graduate should i become a nail tech, real estate agent or narcotics officer?
viktelen [127]
What makes more and has more benifits, and are u self made or joining a company
8 0
3 years ago
Read 2 more answers
Other questions:
  • 1+1=?????????????????????????????????????????????????????????????? lol
    15·2 answers
  • Write a rule to describe the function shown.
    11·2 answers
  • F (x)=10-4x find the inverse function
    5·1 answer
  • A monster truck tire will travel will travel 12.56 ft in one revolution. What is the radius of the tire?
    9·2 answers
  • Evaluate the function rule for the given value f(x)=15x for x=3
    9·2 answers
  • A girl and a puppy are 540 feet apart when they start running towards each other. The girl runs at a speed of 15 feet per second
    11·2 answers
  • Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in
    7·1 answer
  • A 24 inch piece of board was cut from the end of a 120 inch long board. The larger piece was then cut in half.
    10·2 answers
  • What is the range of (0,1),(1,-1),(2,-1)
    9·1 answer
  • The coldest temperature ever recorded in Nome, Alaska, is -54°F. The average temperature in Nome during the Serum Run was 34° wa
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!