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
Ymorist [56]
2 years ago
9

Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- an

d y-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question. A jar contains 70 nickels and dimes worth $6.10. How many of each kind of coin are in the jar? nickels dimes
Mathematics
1 answer:
Lorico [155]2 years ago
5 0

Answer:

There are 18 nickels and 52 dimes in the jar

Step-by-step explanation:

First establish the variables of x and y

x = number of nickels.

y = numer of dimes.

Then develope the system of two linear equations with two variables.

The first equation can result from adding the number of nickels and dimes which result will be 70 coins then

x + y = 70

The second equation is related with the value, so if we multiply the number of nickels by its value and add it with the number of dimes by its value we will have $6.10 then we have:

0.05x + 0.1y = 6.10

Now we have the two equations and we are going to solve them by the elimination method

x + y = 70

0.05x + 0.1y = 6.10

We are going to eliminate x then we have to multiply by -0.05 in both sides of the first equation and we are going to leave the second equation the  same but in the first line to make easier the process.

0.05x + 0.1y = 6.10

(x+y)(-0.05) = 70*(-0.05)

0.05x + 0.1y = 6.10

<u>-0.05x -0.05y = -3.50</u>  (now do the operation)

0 +0.05y = 2.60

y = \frac{2.60}{0.05\\}

y = 52

We have 52 dimes.

Now replace in the initial equation the y value

x + 52 = 70

x = 70 - 52

x = 18

We have 18 nickels

Then in the jar we have 52 dimes and 18 nickels

You might be interested in
What is the equation of a line that contains the point (2,1) and is perpendicular to the line: y = 3x – 4?
irakobra [83]
There's  a website called desmos.com. That website can tell you the answer
7 0
3 years ago
A brand of popcorn instructs users to microwave for 90–120 seconds on high. A student wonders what the ideal microwave time for
san4es73 [151]

Answer:

A.) the levels

Step-by-step explanation:

edge 2020

6 0
3 years ago
Read 2 more answers
Five out of ten bags of candy had exactly 30 pieces in them. How many bags out of 40 should have exactly 30 pieces?​
mylen [45]

Answer:

20 bags should have 30 pieces in them.

Step-by-step explanation:

five out of ten is 1/2

then 1/2 of 40 is 20

therefore there should be twenty bags  with 30 pices each.

3 0
3 years ago
Given the system of equations:
kolezko [41]
2x=16-2y
x=8-y

6(8-y)+4y=38
48-6y+4y=38
48-2y=38
-2y=-10
y=5

8-5=x
x=3 <-Answer
4 0
3 years ago
Problem Page Ann will run more than 38 miles this week. So far, she has run 21 miles. What are the possible numbers of additiona
krok68 [10]
She has run 21 miles already. Let t be the number of additional miles added on. 

In total, she has run t+21 miles 

This is going to be set greater than 38 since "Ann will run more than 38 miles"

So we have this inequality

t+21 > 38

we solve for t by subtracting 21 from both sides

t+21 > 38
t+21-21 > 38-21
t+0 > 17
t > 17

The final answer is t > 17

which means that the possible additional number of miles she could run is anything larger than 17. So t = 18 is one possibility. 
8 0
3 years ago
Other questions:
  • The city of Atlanta increased their sales tax from 7.5% t 8%. How much more tax would you pay on a $10 purchase?
    10·1 answer
  • 3x=15-6y in slope intercept form
    6·1 answer
  • 6 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!
    10·1 answer
  • What would the adverage be of 12 and 13 if thats possible to find one?
    10·1 answer
  • 6.50h+4.50c=306 in slope intercept school
    10·1 answer
  • Summer weighs 50 pounds. How many ounces does she weigh?
    12·2 answers
  • Is the point (3, 4) a solution to the equation 3y = 2x +6 ? Explain why using evidence from your work
    13·1 answer
  • Question:
    5·1 answer
  • The base of this prism is triangle.
    6·2 answers
  • Find the slope of each line.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!