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
charle [14.2K]
3 years ago
9

There are 11 coins in total. Aditi!S piggy bank has $1.85. The coins are either quarters or dimes.How many of each coin are ther

e. Solve with elimination.
Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Hey there! I'm happy to help!

Let's represent our number of quarters with q and our dimes with d. We know that each q has a value of 0.25, and each d has a value of 0.1. This means that 0.25q+0.1d=1.85. We also know that q+d=11 as there are 11 total coins.

Here is our system of equations.

0.25q+0.1d=1.85

q+d=11

We are asked to solve with elimination. To do this, we need combine the equations to cancel out a variable to solve for the other. We have 1d on the bottom. Let's multiply the entire top equation by -10 to get a -1d on the top so we can do this.

-2.5q-d=-18.5

q+d=11

We combine the equations.

-1.5q=-7.5

We divide both sides by -1.5

q=5

Since there are 11 coins in total, this means that there are 5 quarters and 6 dimes.

Have a wonderful day!

You might be interested in
If a median, an altitude, and an angle bisector are the same segment in a triangle, the triangle is scalene
statuscvo [17]
Never is the right answer .
3 0
3 years ago
Can you conclude from the figure that ABC is similar to DEF? Explain.​
pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0
3 years ago
0.4(x-0.45)=9.2 PLZZZZZ HELP!!!!!!!
Helen [10]

Answer:

0.4(−0.45)=9.2

2(−0.45)5=9.2

Step-by-step explanation:

=23.45

5 0
3 years ago
A<br> B<br> C<br> D<br> need this to be right!!!!!
dezoksy [38]
The correct answer is C!!


Hope this helped!!!
7 0
3 years ago
Read 2 more answers
3.1 - 3.9n - 2n + 6 =<br> I know it's a simple question I just keep forgetting how to do things.
Sliva [168]

Answer:

-5.9n+9.1

Step-by-step explanation:

3.1 - 3.9n - 2n + 6=

Combind like terms

Step 1: -3.9 - 2n=-5.9n

Step 2: 6 + 3.1=9.1

Combine:

-5.9n+9.1

3 0
2 years ago
Read 2 more answers
Other questions:
  • Clouds are made up of water droplets. Which statement BEST describes how the water droplets get into the air to form clouds? *
    6·1 answer
  • Determine the scale factor of the function f(x)=3/x
    14·1 answer
  • The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100.
    9·1 answer
  • The front tent is 8 feet and 5 feet tall what is the part of the tent
    11·1 answer
  • How much more is 500 seconds then 8 mins
    9·2 answers
  • Oneta writes an algebraic expression with three terms. The y-term has a coefficient of -3, and the x-term has a coefficient of 1
    8·1 answer
  • 138 = n + 38<br><br>A() 100<br><br>B() 200<br><br>C() 250<br><br>D() 150
    9·2 answers
  • Multiply and simplify
    13·1 answer
  • I need this one quick it depends on my first grade for this quarter, What is the equation of the line that passes through the po
    15·1 answer
  • Subtract: (–3x2 + 7 – 2x) – (6 + 7x – 4x2)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!