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
8090 [49]
3 years ago
14

A man has 14 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $1.70, how many dimes

and how many quarters does he have?
Mathematics
1 answer:
DaniilM [7]3 years ago
8 0
D + q = 14....d = 14 - q
0.10d + 0.25q = 1.70

0.10(14 - q) + 0.25q = 1.70
1.40 - 0.10q + 0.25q = 1.70
-0.10q + 0.25q = 1.70 - 1.40
0.15q = 0.30
q = 0.30 / 0.15
q = 2 <=== 2 quarters

d + q = 14
d + 2 = 14
d = 14 - 2
d = 12 <=== 12 dimes
You might be interested in
How do I solve this????<br><br> Simply the following 3 2/7 + 2 3/14 + 4 3/7.
IrinaVladis [17]
It will be
3 4/14+2 3/14+4 6/14=9 13/14
8 0
3 years ago
Write a linear equation to represent the line shown on the graph
sveticcg [70]

Answer:

y=-3x+4

Step-by-step explanation:

it's negative bc the slope is going from left to right. you just have to do rise over run to find the slope.

7 0
3 years ago
Y=2/3x-1 in standard form
Artyom0805 [142]
In standard form it would be 2x - 3y = 3
5 0
3 years ago
Vertices (15,0) and (-15,0), conjugate axis of length 4 units
algol [13]

Answer:

Step-by-step explanation:

16 units

8 0
3 years ago
The graph represents function 1, and the equation represents function 2:
kvv77 [185]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope or rate of change of the function can be:

  • positive
  • negative
  • zero, or
  • undefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

y = mx+b

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

y = 8x+12

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

  • 8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

6 0
3 years ago
Other questions:
  • China's population is 1.446 x 10 to the ninth power. Marshal islands population
    8·1 answer
  • Find -3A+6B Matrices
    9·1 answer
  • Which integer is closest to 0 on the number line?
    5·1 answer
  • What is the contrapositive of the following statement?
    10·1 answer
  • Find the domain of the graphed function A. 2 2 C. 1&lt;= x &lt;= 5 D. x is all real numbers
    8·1 answer
  • I kinda need help. Math isn't my best subject.
    14·1 answer
  • the manager at a hotel wants to know how often do his costomers rent boats at the nearby lake.Which sampling method will give va
    6·1 answer
  • Which pair of triangles must​ be similar? help please
    12·2 answers
  • eeek i have no idea what im doing and i have like ten more questions to answer :( and i have no idea what im doing
    11·2 answers
  • PLEASE HELP!!!!!!!!!!!!!!!<br><br>Convert 976 cups to gallons.​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!