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
Andrei [34K]
3 years ago
9

Ernest and Gene have been saving coins every day for a sunny day in Arizona. Ernest has 8 more half dollars than Gene and no qua

rters. Gene has as many quarters as Ernest has half dollars, and each has 45 dimes. How many of each coin has each saved for the big day when $200 has been saved? Which of the following equations could represent the word problem if x is the number of half dollars that Gene has?a. 3x + 106 = 200
b. 125x + 916 = 20,000
c. 125x + 1,500 = 20,000
Mathematics
1 answer:
IgorC [24]3 years ago
3 0

Answer:

1. Ernest has $82.5 and Gene has $117.5

2. c) 125x + 1500 = $20000

Step-by-step explanation:

If we mark Gene's half dollars with x, then it is given that Ernest has 8 more, which is x+8.

It is also given that Ernest has no quarters, but Gene has them as many as Ernest has half dollars, which is x+8.

And it is given that they both have 45 dimes each, which is $4.5 each.

Now, let's add up all these numbers:

Ernest: (x+8)•0.5 + 0•0.25 + 4.5 = 0.5x + 8.5

Gene: x•0.5 + (x+8)•0.25 + 4.5 = 0.75x + 6.5

They collected $200 together which means:

0.5x + 8.5 + 0.75x + 6.5 = $200

1.25x + 15 = $200

If we want to avoid decimal number, we can multiply whole equation with 100:

125x + 1500 = $20000

so, the correct answer is C.

Finally, to find x:

125x = 18500

x = 148

Ernest had 0.5x + 8.5 which is $82.5

Gene had 0.75x + 6.5 which is $117.5

You might be interested in
Answer please n thank you :)
Norma-Jean [14]

Answer:45

Step-by-step explanation:

6 0
3 years ago
Divide it using the two methods.
den301095 [7]

Answer:

Step-by-step explanation:

x^3+3x^2+5x+3 divided by x+1

x^2+2x+3

6 0
2 years ago
The outlier, 78, is removed from the data set shown.
bixtya [17]

Answer:

Well, in order o figure this out, you have to understand the definition or range.

Range is the difference between the lowest and highest values.

Since 78 use to be the highest number, the range was 55

Now when we remove the outlier, the new highest value is 45, decreasing the range to 22.

Hope this helps!

4 0
3 years ago
Sheila can pay her hotel bill in Euros (€) or Pounds (£).
algol [13]

Answer:

£365 is cheaper than  €425.

Step-by-step explanation:

We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.

€425 or £365

£365 = €(365 * 1.14)

£365 = €416.10

€425 > €416.10

£365 is cheaper than  €425.

8 0
2 years ago
The first term of an arithmetic sequence is-3 and the 15 term is 53. What is the common difference of the sequence?
Annette [7]
a_2=a_1+d
a_3=a_2+d=a_1+2d
a_4=a_3+d=a_1+3d
...
a_{15}=a_1+14d

Since a_1=-3 and a_{15}=53, the common difference d is

53=-3+14d\implies d=4
6 0
2 years ago
Other questions:
  • (5ab-4a-6)-(4ab-1) find the sum please fast
    13·1 answer
  • help: A train travels with a speed of 124 miles per hour. How much time would it take the train to travel 186 miles?
    12·1 answer
  • the cost of admission to the Baytown zoo is 12.50 for each senior citizen, 16.75 for each adult, and 8.25 for each child
    5·1 answer
  • What is 4•4•4•4•4 in exponential form? And need the answer ASAP
    11·2 answers
  • Urgent plz no one helps me!!!!!!!!!!!!
    8·1 answer
  • Pls help me. will give brainliest if correct!!
    7·1 answer
  • Please answer this for me correctly. THANK YOU!!
    8·1 answer
  • Find the area of the polygon. 32 m 20 m 16 m 40 m he area of the polygon is square meters.​
    14·1 answer
  • An arithmetic sequence is defined by its 1st term a1 = 7 and the sum of the first 10 terms s10 = 25. Find the difference d of th
    9·1 answer
  • (the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!