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
MakcuM [25]
3 years ago
12

Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How many dimes does Carter have?

How would you set this as a system of equations?
Mathematics
1 answer:
Arisa [49]3 years ago
3 0
The answer is 
n = 37 - d
0.05n + 0.10d = 3.10
He has 25 dimes.

n - the number of nickles
d - the number of dimes

n = $0.05
d = $0.10

<span>Carter has 37 coins: n + d = 37
</span><span>The value of the coins is $3.10: 0.05n + 0.10d = 3.10


</span>n + d = 37
0.05n + 0.10d = 3.10
_____
n = 37 - d
0.05n + 0.10d = 3.10
_____
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
1.85 + 0.05d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25 : 0.05
d = 25
You might be interested in
Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. Name Sarmant Date 3/8/20
gulaghasi [49]
|6+9x|\le24

this is the correct way to solve these types of exercises

then we will try to do the same where a is (6+9x) and b is 24

|6+9x|\le24\longrightarrow-24\le6+9x\le24

and solve the right inequality for x

-24\le6+9x\le24

subtract 6 for all expression

\begin{gathered} -24-6\le6-6+9x\le24-6 \\ -30\le9x\le18 \end{gathered}

now divide on 9

\begin{gathered} -\frac{30}{9}\le\frac{9x}{9}\le\frac{18}{9} \\  \\ -\frac{10}{3}\le x\le2 \end{gathered}

ok, this means that the x values ​​will be from -10/3 to 2 including these

Graph

solution is the red zone

6 0
1 year ago
Find the 72nd term of the arithmetic sequence 11, 7, 3, ...
Katen [24]

Answer:

-273

Step-by-step explanation:

find the common difference:

d = 7 - 11 = - 4

a_1 = 11

a_72 =  (72 - 1)* (-4)  +  a_1

a_72 =  (71)* (-4)  +  11

a_72 =   -273

3 0
3 years ago
How many 2/3-ounce packages of almonds can be made with 8 ounces of almonds?
ziro4ka [17]
ANSWER: 12 packages can be made.

Hope it helps u!
8 0
3 years ago
Find the value of<br> in the triangle shown below.
Marysya12 [62]

Answer:

50 degrees

Step-by-step explanation:

because the total angles of the triangle must equal 180

5 0
3 years ago
Read 2 more answers
100 POINTS! I REPEAT 100 POINTS! PLEASE HELP!
AURORKA [14]
First you need to find the area of the lawn. To find the area of a square, you multiply two sides together. You have two sides given, which is super helpful.

I put in my calculator, (40+4/5)x(50+7/8) and this gave me the answer of 2075.7.
You need to then divide that number by 500, and divide it by 300, and then round up, cause if you round down you’re not gonna have enough seed.

2075.7/500 = 4.1514, but then this needs to be rounded up or he’ll be 0.1514 short. So he needs 5 bags for the highest setting.

2075.7/300 = 6.919, so for the lowest setting, he needs 7 bags of seed.

This should be correct.

Hope this helps :)
6 0
3 years ago
Other questions:
  • Given the quadratic equation 8-6x=-2x^2 complete the following:
    11·1 answer
  • Find the zeros, vertical asymptote, horizontal asymptote, slant asymptote, and graphing points.
    11·1 answer
  • Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?
    5·2 answers
  • you are to draw two graphs of lines. one line needs to have a slope of 2/3. and the second line needs to have a slope of -4
    8·1 answer
  • The first hill on a roller coaster is 155 feet tall. The first drop on a second roller coaster is about 11/20 as tall as the fir
    12·2 answers
  • Label all of the parts of the circle
    9·1 answer
  • Pls help i have been getting bad answers all day im about to fail 7th grade :( Pls I WILL GIVE BRAINLIEST ANYTHING :(
    6·1 answer
  • What is 10% of 50 ??
    14·2 answers
  • Please answer quickly!
    9·2 answers
  • Which two operations are needed to write the expression that represents "five less than the quotient of a numb
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!