All categories

3 years ago

24. Janelle has 342 pennies, 62 nickels,

Mathematics

2 answers:

mixer [17]3 years ago

6 0

Answer:

$7.72

Step-by-step explanation:

62×5=310. 12×10=120. Add all that up and you get $7.72

JulsSmile [24]3 years ago

6 0

Answer: $7.72

Step-by-step explanation:

A easy way to this is by breaking each set of coins into values of 100 which we know is a dollar.

so 342 pennies can be divided into 100 3 times with the remainder of 42 cents so that $3.42

with nickels because they are worth 5 cents we have to see what times 5 = 100 which is 20. 62 goes into 20 3 times with the remainder of 2 and 2*5=10

so $3.10

dimes are worth 10 cents each so what times 10=100? 10 so 12 goes into 10 1 time with the remainder of 2 2*10=20 so $1.20

Then we add all the money $1.20+3.10+3.42=$7.72

You might be interested in

Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

3 years ago

Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants

Ivanshal [37]

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) + (Admission fees) (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

$c = 1.50x + 12$ (ii)

Here, 12 = Admission fees [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

3 0

3 years ago

You have 2 5/8 pizzas to share equally with 3 people. How much will each person get?

Hitman42 [59]

Each person will get 6/8. Hope this helped.

7 0

3 years ago

PLS HELP! 20 pts! Antonio said that triangle AFN ≅ triangle TBM by SAS Congruence Theorem. What mistake did he make?

Harrizon [31]

The congruence theorem is always the same

6 0

3 years ago

gretchen and henrik are meeting at a park. gretchen lives 2.4 miles away from the park and bikes at a constant rate of 12 miles

shepuryov [24]

1)t=S/U=2.4/12=0.2
2)t=S/U=8.4/36=0,23
3)0.23-0.2=0.03

6 0

3 years ago

Read 2 more answers