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
timofeeve [1]
3 years ago
9

Leslie cobar's piggy bank 36 coins. Some are quarters and rest are half - dollars. If the total vaule of the coins is $14.75, ho

w many of each of denomination does Leslie have?
Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

Leslie has 13 quarters and 23 half-dollars.

Step-by-step explanation:

You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:

x+y=36 (1)

0.25x+0.50y=14.75 (2), where:

x=amount of quarters

y=amount of half-dollars

First, you can isolate x in (1):

x=36-y (3)

Then, you can replace (3) in (2):

0.25(36-y)+0.50y=14.75

9-0.25y+0.50y=14.75

0.25y=5.75

y=5.75/0.25

y=23

Finally, you can replace the value of y in (3) to find the value of x:

x=36-23

x=13

According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.

You might be interested in
In a standard inch ruler how many 3/8 are in 6 inches
Oliga [24]
There are 16 3/8 in 6 inches
8 0
2 years ago
Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below:
Ad libitum [116K]
<span>I have graphed the given coordinates of both pentagons. The reflection was across the y-axis where coordinates of Pentagon PQRST (-x,y) resulted to Pentagon P'Q'R'S'T' (x,y). The line of reflection between the pentagons was x = 0. Line of reflection is the midway between the pre-image and its reflection.</span>
4 0
3 years ago
Read 2 more answers
If my dog was born 4 weeks before August 27th how old will my dog be
Elenna [48]

Answer:

the dog was born on july 30th so the dog would be 3 months and a week old

Step-by-step explanation:

7 0
2 years ago
Solve this system of equations:<br> y = 3x<br> 2y + x = 14
a_sh-v [17]

Answer:

= 3 ^ 2 + = 1 4

Step-by-step explanation:

6 0
3 years ago
Please I need help with differential equation. Thank you
Inga [223]

1. I suppose the ODE is supposed to be

\mathrm dt\dfrac{y+y^{1/2}}{1-t}=\mathrm dy(t+1)

Solving for \dfrac{\mathrm dy}{\mathrm dt} gives

\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{y+y^{1/2}}{1-t^2}

which is undefined when t=\pm1. The interval of validity depends on what your initial value is. In this case, it's t=-\dfrac12, so the largest interval on which a solution can exist is -1\le t\le1.

2. Separating the variables gives

\dfrac{\mathrm dy}{y+y^{1/2}}=\dfrac{\mathrm dt}{1-t^2}

Integrate both sides. On the left, we have

\displaystyle\int\frac{\mathrm dy}{y^{1/2}(y^{1/2}+1)}=2\int\frac{\mathrm dz}{z+1}

where we substituted z=y^{1/2} - or z^2=y - and 2z\,\mathrm dz=\mathrm dy - or \mathrm dz=\dfrac{\mathrm dy}{2y^{1/2}}.

\displaystyle\int\frac{\mathrm dy}{y^{1/2}(y^{1/2}+1)}=2\ln|z+1|=2\ln(y^{1/2}+1)

On the right, we have

\dfrac1{1-t^2}=\dfrac12\left(\dfrac1{1-t}+\dfrac1{1+t}\right)

\displaystyle\int\frac{\mathrm dt}{1-t^2}=\dfrac12(\ln|1-t|+\ln|1+t|)+C=\ln(1-t^2)^{1/2}+C

So

2\ln(y^{1/2}+1)=\ln(1-t^2)^{1/2}+C

\ln(y^{1/2}+1)=\dfrac12\ln(1-t^2)^{1/2}+C

y^{1/2}+1=e^{\ln(1-t^2)^{1/4}+C}

y^{1/2}=C(1-t^2)^{1/4}-1

I'll leave the solution in this form for now to make solving for C easier. Given that y\left(-\dfrac12\right)=1, we get

1^{1/2}=C\left(1-\left(-\dfrac12\right)^2\right))^{1/4}-1

2=C\left(\dfrac54\right)^{1/4}

C=2\left(\dfrac45\right)^{1/4}

and so our solution is

\boxed{y(t)=\left(2\left(\dfrac45-\dfrac45t^2\right)^{1/4}-1\right)^2}

3 0
3 years ago
Other questions:
  • √secA+tanA/√secA-tanA × √cosecA-1/√cosecA+1=1
    7·1 answer
  • Stats 10: <br> J and K are independent events. P(J/K)=0.1. Find P(J)
    12·2 answers
  • I need help with finding x, y, and z.
    15·1 answer
  • If Robert has $45 and has decided to double that amount every month, how much money will he have after 16 months? Robert’s earni
    13·1 answer
  • What are the coordinates of the point labeled C in the graph?
    9·2 answers
  • Help me pleaseeeeee i have 24 points dor you please​
    10·1 answer
  • My car cost 3500 I get paid 300 a week how long will it be until I get the car
    7·2 answers
  • Find the exact value of y.<br> V6<br> 45°
    13·1 answer
  • HELP I NEED HELP ASAP
    9·2 answers
  • 3a) There were 25 red markers, 32 blue markers, and 38 green markers in a tub. Explain how you would construct a bar graph for t
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!