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
Vladimir79 [104]
3 years ago
13

A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?

Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

There are 50 dimes and 110-50 = 60 quarters in the collection.

Step-by-step explanation:

Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D = %28-750%29%2F%28-15%29 = 50.

You might be interested in
Complete the square to the problem X^2+6x-16=0
marishachu [46]

Answer:

<h2>x = -8 or x = 2</h2>

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}

3 0
3 years ago
??help me please now
mel-nik [20]

Answer:

x^2+10x+24

Step-by-step explanation:

(x+6)×(x+4)

=x^2+4x+6x+24

=x^2+10x+24 (ans)

7 0
2 years ago
Work out the value of angle x
Alexus [3.1K]

well, it's isosceles so use base angles theorem

the top angle is also x

90 + 2x = 180

subtract 90 from both sides

2x = 90

divide both sides by 2

x = 45 degrees

8 0
3 years ago
Read 2 more answers
The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.
Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760

b) How many of these delegations have all men?

n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4  \\n_{men} = 60480

c) How many of these delegations have at least one woman?

n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280

4 0
3 years ago
Please help im stressing :((((<br> (what is Danielle mistake in this problem )
statuscvo [17]

Answer:

Daniel's Mistake was that she didnt add all the sides

Step-by-step explanation:

She only added the right side of the triangle, and the right and bottom sides of the square. She is missing the left of the triangle, which is another 6x-4, and the left side of the square, which is 12x +3.

Using these sides the answer should look like this,

set up your problem

1) (6x-4)*2 + (12x+3)*2 + (14x+13)

multiply your 2's in

2) (12x-8) + (24x+6) + (14x+13)

simplify

3) 50x + 11 is your answer

7 0
2 years ago
Other questions:
  • What's 6/7 written as a fraction with a denominator of 42
    7·1 answer
  • Rationalize the denominator and simplify. 5/4-sqrt 3
    10·1 answer
  • Which point represents the vertex of the marked angle.
    5·2 answers
  • write the equation of the line that is perpendicular to the line y=-1/5x+9 and passes through the point (-2,-2)
    13·1 answer
  • Dinner $50 with 18% tip
    11·2 answers
  • Find the LCM of 20 and 18.
    7·1 answer
  • Evaluate each expression. When the answer is not a whole number, write
    13·1 answer
  • Can y’all help me with the answer please
    6·2 answers
  • Help plz..And No links!! I repeat No links!!
    15·2 answers
  • What is the slope of the line that passes through the points (-10, -8) and
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!