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
anygoal [31]
3 years ago
12

X + y = 152, 8.5x + 12y = 1,656 How many hats were sold?

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

You might be interested in
Each bus for Philips Elementary School transports 40 students to school. There are 12 buses that transport students to school ea
8090 [49]

Answer:

480 students are transported to school each day.

Step-by-step explanation:

Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...

12 x 40 = 480

7 0
3 years ago
Helpppppppp please it’s due today
yanalaym [24]

Answer:

Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)

8 0
3 years ago
Math Help Please explain the questions How long will it take for the balance of an account to double if the savings account earn
Scorpion4ik [409]
(See attached formula)
Years = log (total / principal) / n*log(1 + rate/n) where n = compounding periods per year
Years = log (total / principal) / n*log(1 + rate/n)
Rate of .75% = .0625 per month
We'll say we want total = 200 and principal = 100
Years = log (200 / 100) / 12*log(1 + rate/n)
Years = log (2) / 12 * log (1 + .0625/12)
Years = <span> <span> <span> 0.3010299957 </span> </span> </span> / 12 *  <span> <span> <span> 0.0022560803 </span> </span> </span> <span><span> </span> </span>
Years = <span> <span> 0.3010299957 </span> </span> / <span> <span> <span> 0.0270729635 </span>
Years = </span></span><span><span><span>11.1192110871 </span> </span> </span>
I don't think that's right
The interest rate is REALLY low. (Less than 1%)
Rate = .75 and .0075 when in a formula
Years = log (2) / 12 * log (1 + .0075/12)
Years = log (2) / 12 * log( <span>1.000625</span>)
Years = <span> <span> <span> 0.3010299957 </span> </span> </span> / 12 * <span> <span> <span> 0.0002713493 </span> </span> </span>
Years = <span><span><span> <span> 0.3010299957 </span> </span> / 0.0032561912 </span>
</span>Years = <span><span><span>92.4485010892
THAT seems a more likely answer with such a low interest rate.
</span> </span> </span>

5 0
2 years ago
What is 2.125 as a fraction?
Nuetrik [128]

2.125 = 17/8 = 21/8 as a fraction


Step by Step Solution

To convert the decimal 2.125 to a fraction follow these steps:


Step 1: Write down the number as a fraction of one:


2.125 = 2.125/1


Step 2: Multiply both top and bottom by 10 for every number after the decimal point:


As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,


2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.


Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,


(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.


As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.


Hope that helps feel free to ask me questions

Brainliest??


5 0
3 years ago
Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the
Ghella [55]

Answer:

I'm not sure what the answer is

4 0
3 years ago
Other questions:
  • Without solving the equation 3x^2−12x+7=0 find the sum of the squares of its roots.
    10·2 answers
  • El area del cuadrado mide 25 pies cuadrados cuál es la longitud de un lado del cuadrado?
    8·1 answer
  • Estimate the slope m of the line. (If an answer is undefined, enter UNDEFINED.)
    13·1 answer
  • 2x10+6x13x(1/100)+9x(1/1000) into a decimal
    5·2 answers
  • What is the slope of a line that is perpendicular to the line y = 1?
    7·1 answer
  • Willy says the slope of the graph is -1/3.what error did she make when finding the slope
    14·1 answer
  • What is 1/2k-3=2-3/4K
    14·1 answer
  • Someone help me with this question
    13·2 answers
  • 3 tacos for $9.00 is a better deal than 4 tacos for $11.99<br> A) True<br> B<br> False
    10·2 answers
  • Anyone please gives me the correct answer to this problem on Khan Academy. The assignment is due tomorrow, and I don't want to f
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!