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
Alex Ar [27]
3 years ago
9

Joe has 37 coins consisting of nickels, dimes, and quarters. There are four more nickels than dimes and two more quarters than n

ickels. What is the total number of quarters that joe has?
Mathematics
1 answer:
astraxan [27]3 years ago
5 0

Answer:

  15

Step-by-step explanation:

Let n, d, q represent the numbers of nickels, dimes, and quarters. The problem statement tells us ...

  n +d +q = 37

  n = d +4

  q = n +2

___

Rearranging the second equation gives ...

  d = n -4

Substituting that into the first, we get ...

  n + (n -4) +q = 37

  2n +q = 41 . . . . . . . add 4 and simplify

Rearranging the third original equation gives ...

  n = q -2

Substituting into the equation we just made, we get ...

  2(q -2) +q = 41

  3q = 45 . . . . . . . . add 4 and simplify

  q = 15 . . . . . . . . . divide by 3

Joe has 15 quarters.

_____

<em>Check</em>

The number of nickels is 2 fewer, so is 13. The number of dimes is 4 fewer than that, so is 9. The total number of coins is 15 + 13 + 9 = 37, as required.

You might be interested in
Lnes made9 necklaces with 60 beads on each necklaces. How many beads did she use in all
Gala2k [10]
Made 9  necklaces.
60 beads per necklace.
How many beads for all the 9 necklaces?

60 × 9 = 540

9 necklaces = 540 beads<span />
3 0
3 years ago
(3Q) Evaluate the logarithm.
Aleonysh [2.5K]

Answer:

a. 5/3

that's your answer

3 0
3 years ago
Read 2 more answers
Pls help me!! this is for a study guide :)
inn [45]

Answer:

x° = 149°

Step-by-step explanation:

According to the <u>Triangle Sum Theorem</u>, the sum of the measures of the angles in every triangle is 180°. Since we are given two angles with measures of m < 86° and m < 63°, then the third angle must be:

m < 86° + m < 63° + m < (angle 3) = 180°

149° + m < ? = 180°

Subtract 149° from both sides to solve for m < (angle 3)

149° - 149° + m < (angle 3)   = 180° - 149°

m < ?   = 31°

Therefore, the measure of the third angle is 31°.

To find x°, we can reference the <u>Triangle Exterior Angle Postulate</u>, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

In other words, the measure of x° = m < 86° + m < 63°

x° = 149°

By the way, m< (angle 3) and x° are also supplementary angles whose sum equal 180°:

x° + m < (angle 3) = 180°

149° +  31° = 180°

6 0
3 years ago
If m∠2=39 and m∠3=30, what is m∠1?
satela [25.4K]

Answer:

The answer would be A.) 111

Step-by-step explanation:

The angles of any triangle must add up to 180. So you subtract ∠1 and ∠2 from 180 and you will get the 3rd angle.

7 0
3 years ago
If a#b = a+2b, for integers a and b, what is the value of 3#4?
STatiana [176]
Can u translate to indonesia please.
8 0
3 years ago
Other questions:
  • How do you find the percentage of 3/9??? Please show work
    13·1 answer
  • What is the unit rate of 44 points in 4 quarters?
    9·2 answers
  • The rough estimate of the perimeter of a rectangle of length 3.67 cm and width 2.54cm
    9·1 answer
  • The expression 4\cdot3^t4⋅3 t 4, dot, 3, start superscript, t, end superscript gives the number of ducks living in Anoop's pond
    8·2 answers
  • The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow
    9·1 answer
  • Passes throw (1,-3),slope=1
    14·1 answer
  • Solve for x 3x/6 + 2 = 8
    12·1 answer
  • Please help this is due soon, whoever answers correctly will get a brainy!
    5·2 answers
  • Whats the answer for this? question? D:
    9·2 answers
  • How do I solve this??
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!