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
UkoKoshka [18]
3 years ago
13

In a child's bank are 11 coins that have a value of S1.85. The coins are either

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

The child has 6 dimes and 5 quarters.

Step-by-step explanation:

Let q and d represent the number of quarters and of dimes respectively.

Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).

Multiply the 2nd equation by 100 to remove the decimal fractions:

25q + 10d = 185 (Equation C)

Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:

-10q - 10d = -110

25q + 10d = 185

--------------------------

15q         = 75, and so q = 75/15 = 5.

According to Equation A, q + d = 11.  Replacing q with 5, we get:

5 + d = 11, and so d = 6.

The child has 6 dimes and 5 quarters.

You might be interested in
Solve for x.<br> 9(x + 1) = 25 + x<br> x = 2<br> x = 3<br> x=4<br> x = 5<br> O
Marta_Voda [28]

Answer:

x=2

Step-by-step explanation:

9x+9=25+x

9x-x=25-9

8x=16

x=2

4 0
3 years ago
Read 2 more answers
The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard de
Arisa [49]

Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, \overline x = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = \overline x

The alternative hypothesis; Hₐ μ ≠ \overline x

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}

Therefore, we have;

t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

4 0
3 years ago
Question 2 options:<br><br> A. y=5x+5<br> B. y=15x+5<br> D. Y=1/5x+5<br> C. Y=10x+5
expeople1 [14]

Answer:

A)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Will give 20 pts! pls answer
Lena [83]

It would be Felix:

5/4 = 1.25

Hope this helps!

8 0
3 years ago
Read 2 more answers
Find the APY for an APR of 3.6% compounded (a) yearly. (b) semi-annually. (c) monthly. (d) continuously.
madam [21]

Answer:

Monthly

Step-by-step explanation:

APY is 0.0302 = 3.02 Percent - 3.00% - monthly

5 0
2 years ago
Other questions:
  • Point A is the incenter of ΔDEF. What is the length of NA?
    14·2 answers
  • Select the correct answer from each drop-down menu.
    7·2 answers
  • I need help with 25. 26. And 27 plz I don’t know how
    12·1 answer
  • What common angle do acd and abe share
    11·2 answers
  • The equation of line AB is (y-3) = 5 (x - 4). What is the slope of a line perpendicular to line AB?
    15·2 answers
  • A tire rim has a diameter of 15 in. What is the circumference of the tire rim? Use 3.14 for Pi.
    9·1 answer
  • Help me plz It’s due now
    14·2 answers
  • A new pair of jeans cost $124.97 in the sales tax rate is 9.3% you only have $140 to spend do you have enough money to purchase
    12·1 answer
  • Give that the circumference of a circle is 44, find
    9·1 answer
  • A cheque recevied from ram 3400 in full settlement of 3500 journal entry​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!