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Setler [38]
2 years ago
11

A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 48 bills having a combined mo

netary value of ​$183. Find the number of bills of each denomination that he has.
Mathematics
1 answer:
Orlov [11]2 years ago
7 0
15 10 dollar bills
33 1 dollar bills
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14
Damm [24]

-n=2-7

-n=5

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8 0
2 years ago
In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

4 0
1 year ago
Please answer due today (one question) Algebra and WILL GIVE BRAINLEST!!!
chubhunter [2.5K]

180(6 - 2) = 720

4x + 180 = 720

4x = 630

x = 157.5

S = 720

X = 157.5

5 0
2 years ago
The gum you like is on sale. it is regularly priced at $1.59.
Gemiola [76]

Answer:

The required equation is c = 1.59 - s

Step-by-step explanation:

Here, s represents the sales price per pack and c represents the cost saving,

Also, the regular price per pack = $ 1.59,

Since,

Cost saving = Regular price - sales price

⇒ c = 1.59 - s

Which is the required equation that is used to determine how much money is saved if the pack is bought today.

3 0
3 years ago
Read 2 more answers
Find a formula for the sum of the first n even positive integers.
melisa1 [442]
So even postive integers are by defention in form 2k where k is a natural number so
let the sum of even integers to n=S
S=2(1+2+3+4+5+6+7+8+......+k-1+k
divide bith sides of equation 1 by 2
0.5S=1+2+3+4+5+...........+k-1+k
S=2(k+(k-1)+..............................+2+1)
divide both sides of equation 2 by 2
0.5S=k+k-1+..............................+2+1)
by adding both we will get
___________________________
S=(k+1)(k)
so the sum will be equal to
S=
{k}^{2}  + k
so let us test the equation
for the first 3 even number there sums will be
2+4+6=12
by our equation 3^2+3=12
gave us the same answer so our equation is correct
7 0
2 years ago
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