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
ella [17]
2 years ago
10

Her coins have a total value of $9.50. She has a total of 50 coins. Write systems of equations can be used to find the number of

dimes, 푑푑, and the number of quarters, 푞푞, Alexis has. Solve the system and explain what the solution mean. {Hint: remember to use substitution or elimination method
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0

Answer:

Our system is : D + Q = 50  and  0.1*D + 0.25*Q = $9.50

Let D = # of dimes

Let Q = # of quarters

30 Quarters and 20 dimes

Step-by-step explanation:

Let D = # of dimes

Let Q = # of quarters

so

D + Q = 50  and  0.1*D + 0.25*Q = $9.50

We can solve this.

D = 50 - Q

0.1*(50 - Q) + 0.25*Q  = $9.50

5  -  0.1*Q + 0.25*Q = 9.5

5 + 0.15*Q  = 9.5

0.15*Q = 4.5

Q = 4.5 / 0.15 = 30

D = 50 - Q = 50 - 30 = 20

You might be interested in
A scientist uses 3 gallon of liquid for every 6 hours he uses (blank) of a gallon each hour he works
adelina 88 [10]

Answer:

18

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Round to the nearest tenth 6.2x+1.2=8.9
Anuta_ua [19.1K]

Answer:

x = 1.2...

Step-by-step explanation:

Start with the given equation and isolate the variable.

6.2x + 1.2 = 8.9

Subtract 1.2 from each side:

6.2x = 7.7

Divide each side by 6.2:

x = 1.2...

7 0
3 years ago
((Image Included))
Bas_tet [7]

Answer:

=204.13 inches.

Step-by-step explanation:

Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.

Sin 30 =x/hypotenuse.

sin 30 = 27/hyp

hyp= 27/sin 30

=54 inches

We can also find the adjacent as follows.

Cos 30 = adjacent/ 54

Adjacent= 54 cos 30

=46.77 inches

Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.

sin 45= x/hypotenuse

sin 45 =27/hypotenuse

hypotenuse = 27/sin 45

=38.18 inches

The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.

Perimeter = 54+ 46.77+27+ 38.18+38.18

=204.13 inches.

6 0
2 years ago
Read 2 more answers
Please help!!!! D:<br><br>(grades 7-8 probability)​
dmitriy555 [2]

Answer:

1/4 ch a chance of a car any color

Step-by-step explanation:

if you only have 4 cars and they are different colors, you get 1/4 chance to pick one

6 0
3 years ago
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
Other questions:
  • Rolff recently completed a book of 20 deduction puzzles. the scatterplot below shows the time it took rolff to solve a puzzle ve
    8·1 answer
  • Plzz help me... explain with proper explanation plzzzz​
    7·1 answer
  • gisele runs a company that makes tablet computers. Each tablet requires an employee to assemble it and an employee to test it. T
    6·2 answers
  • Which statement best explains why this expression is equal to 9.49.4?<br> 9.4 + 9.4a(0)/-9.4
    7·1 answer
  • -2y+2=-2(3y+11) how to figure this out
    8·2 answers
  • If you need 20 feet of tile and each tile measures a half a foot how many tiles do you need to get?
    10·2 answers
  • The function g(x) = x2 - 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?
    8·1 answer
  • Kevin is participating in a walkathon to raise money for local literacy programs. The farther Kevin walks, the more money he wil
    13·1 answer
  • Plz answer mhanifa!
    13·1 answer
  • Use completing the square to solve for x in the equation (x minus 12) (x 4) = 9.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!