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
MA_775_DIABLO [31]
2 years ago
15

In a bag, there are a total of 50 dimes and quarters. 40% of the coins are quarters and 35% of the quarters are on heads. How ma

ny of the quarters are on tails? ​
Mathematics
1 answer:
erik [133]2 years ago
7 0

Answer:

13 quarters must be tails.

Step-by-step explanation:

Number of quarters = 40% of 50 coins

Number of quarters = 40/100 * 50 = 20 coins which are quarters.

35% of these 20 quarters on heads. We can proceed in 2 ways from here.

We can actually find the number of quarters that are on heads.

35/100 * 20 = 7 quarters are showing heads.

Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.

The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.

You might be interested in
Use the following matrices, A, B, C and D to perform each operation.
Vinvika [58]

Step-by-step explanation:

A=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]

B=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]

C=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]

D=\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]

1.\\A+B=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]+\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]=\left[\begin{array}{ccc}3+4&1+1\\5+6&7+0\end{array}\right]=\left[\begin{array}{ccc}7&2\\11&7\end{array}\right]

2.\\B-A=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]-\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]=\left[\begin{array}{ccc}4-3&1-1\\6-5&0-7\end{array}\right]=\left[\begin{array}{ccc}1&0\\1&-7\end{array}\right]

3.\\3C=3\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]=\left[\begin{array}{ccc}(3)(-2)&(3)(3)&(3)(1)\\(3)(-1)&(3)(0)&(3)(4)\end{array}\right]=\left[\begin{array}{ccc}-6&9&3\\-3&0&12\end{array}\right]

4.\\C\cdot D=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]\cdot\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]\\\\=\left[\begin{array}{ccc}(-2)(-2)+(3)(0)+(1)(3)&(-2)(3)+(3)(-2)+(1)(4)&(-2)(4)+(3)(1)+(1)(-1)\\(-1)(-2)+(0)(0)+(4)(3)&(-1)(3)+(0)(-2)+(4)(4)&(-1)(4)+(0)(1)+(4)(-1)\end{array}\right]\\=\left[\begin{array}{ccc}7&-8&-6\\14&13&-8\end{array}\right]

5.\\2D+3C\\\text{This operation can't be performed because the matrices}\\\text{ are of different dimensions.}

6 0
3 years ago
Solve the following equation to find the value of x:<br> 2(x + 3) =18
lidiya [134]
Distribute the two: 2x + 6 = 18
Subtract the six: 2x = 12
Divide by two: x = 6

That's your answer!
5 0
3 years ago
Which figures can have all of the properties shown below
yuradex [85]

Answer:

quatrolatiral, square, rectangle

3 0
2 years ago
Evaluate -12+ |4-9z| if Z=8
alexandr402 [8]

Answer:

-12+l4-72l

Step-by-step explanation: i hope this helps

3 0
3 years ago
Read 2 more answers
Simplify (1 - sin x)(1 + sin x).<br> 0 1<br> O cos^2 x<br> O sin^2 x<br> O tan^2 x
V125BC [204]
This would be cos^2x, because when you foil out the equation you get 1-sin^2(x).

1-sin^2(x)=cos^2(x)
5 0
3 years ago
Other questions:
  • Select all the triangles that would have an area of 16 square inches. Answer Choices A triangle with a base length of 8 in. and
    12·1 answer
  • A rancher wants to fence in an area of 1,000,000 square feet in a rectangular field and then divide it in half with a fence down
    9·1 answer
  • What is a formula for the nth term of the given sequence?
    10·1 answer
  • In circle L, arc MNOP is 120° and the radius is 5 units. Which statement best describes the length of arc MNOP? one half the are
    14·2 answers
  • Can someone please help me ​
    14·2 answers
  • Identify Slope and Y intercept for the equation X=4 M=B=
    13·1 answer
  • Help me pleaseee i need good grades
    6·2 answers
  • Do you know works at a dinner she earn six dollars each hour plus tips in one week she worked 37 hours a week and earned 43 tips
    12·1 answer
  • Evaluate the expression
    8·2 answers
  • Norman makes $15 commission for selling $200 in merchandise. he makes $37.50 commission for selling $500 in merchandise. assumin
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!