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
Lelu [443]
3 years ago
12

If Trent has 11 quarters and dimes in his pocket, and they have a combined value of 200 cents, how many of each coin does he hav

e?
Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

Trent has 6 quarters and 5 dimes.

Step-by-step explanation:

Consider the provided information.

Let q =  Number of quarters

d = Number of dimes.

Trent has 11 quarters and dimes.

q+d=11

q=11-d

The worth of a quarter is 25 cents.

The worth of a dimes is 10 cents

25q+10d=200

Substitute the value of q in above equation.

25(11-d)+10d=200

275-25d+10d=200

15d=75  

d=5  

Substitute the value of d in q=11-d

q=11-5

q=6

Hence, Trent has 6 quarters and 5 dimes.

You might be interested in
How do you do this?
sammy [17]

its all about the angles just subtract the number you have from the total

5 0
3 years ago
BRAINLIST AND 20 POINTS I REALLY NEED HELP ASAP (10 POINTS FOR EACH QUESTION)
antoniya [11.8K]

Answer:

7 bottles

$10

Step-by-step explanation:

multiply

1/6×42= 7 bottles

5/9×18= $10

8 0
3 years ago
Simplify:<br><img src="https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B4%7D%283.5%29%20" id="TexFormula1" title="2 \frac{1}{4}(3.5)
V125BC [204]

9514 1404 393

Answer:

  7 7/8

Step-by-step explanation:

There are several ways to get there.

  2.25×3.5 = 7.875 = 7 7/8

  (2 1/4)(3 1/2) = (9/4)(7/2) = 63/8 = 7 7/8

  (2 1/4)(3.5) = 2(3.5) +(1/4)(3.5) = 7 + (2·3.5)/(2·4) = 7 +7/8 = 7 7/8

A typical graphing calculator will let you enter this problem directly, giving you a result either as a decimal, improper fraction, or a mixed number.

4 0
2 years ago
3. For the graph, complete the following: (a) Write a table of ordered pairs from the graph. (b) Write an equation from the tabl
alexandr1967 [171]

for this i am working on this um please wait


6 0
3 years ago
The total claim amount for a health insurance policy follows a distribution with density function 1 ( /1000) ( ) 1000 x fx e− =
gizmo_the_mogwai [7]

Answer:

the approximate probability that the insurance company will have claims exceeding the premiums collected is \mathbf{P(X>1100n) = 0.158655}

Step-by-step explanation:

The probability of the density function of the total claim amount for the health insurance policy  is given as :

f_x(x)  = \dfrac{1}{1000}e^{\frac{-x}{1000}}, \ x> 0

Thus, the expected  total claim amount \mu =  1000

The variance of the total claim amount \sigma ^2  = 1000^2

However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100

To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :

P(X > 1100 n )

where n = numbers of premium sold

P (X> 1100n) = P (\dfrac{X - n \mu}{\sqrt{n \sigma ^2 }}> \dfrac{1100n - n \mu }{\sqrt{n \sigma^2}})

P(X>1100n) = P(Z> \dfrac{\sqrt{n}(1100-1000}{1000})

P(X>1100n) = P(Z> \dfrac{10*100}{1000})

P(X>1100n) = P(Z> 1) \\ \\ P(X>1100n) = 1-P ( Z \leq 1) \\ \\ P(X>1100n) =1- 0.841345

\mathbf{P(X>1100n) = 0.158655}

Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is \mathbf{P(X>1100n) = 0.158655}

4 0
3 years ago
Other questions:
  • Reason Lena is making a puzzle, she cuts a shape into5. two pieces and rearranges them to make the shape below.Which shape did s
    14·2 answers
  • The volume of a cylinder is 540_ ft3. The height is 15 ft. What is the diameter of the cylinder?
    8·2 answers
  • What is the square root of 293
    15·1 answer
  • Which unit should be used when measuring the height of a tall brush
    6·1 answer
  • Alphabet cutouts come in packages of 6 sheets for $8. How much does Tanesha spend on alphabet cutouts if she need 72 sheets?
    5·2 answers
  • When rounding to.the nearest hundred are you to add or subtract?
    13·2 answers
  • Write the expression in exponential form. <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B10%7D%20" id="TexFormula1" title="
    14·1 answer
  • I need help!!!!!!!!!!
    15·1 answer
  • I NEED TO KNOW if IM correct<br><br> thanks!
    11·1 answer
  • What are the symptoms of AIDS???????​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!