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
astraxan [27]
3 years ago
13

Kevin and Randy Muise have a jar containing 73 ?coins, all of which are either quarters or nickels. The total value of the coins

in the jar is ?$ 8.45. How many of each type of coin do they? have?
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

24 quarters and 49 nickels

Step-by-step explanation:

This situation has two unknowns - the total number of nickels and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • n+q=73 is an equation representing the total number of coins
  • 0.05n+0.25q=8.45 is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get n=73-q. We now substitute this for n in the second equation.

0.05(73-q)+0.25q=8.45

3.65-0.05q+0.25q=8.45

3.65+0.20q=8.45

After simplifying, we subtract 3.65 across and divide by the coefficient of q.

0.20q=4.8

q=24

We now know of the 73 coins that 24 are quarters. To find the number of nickels, we subtract 24 from 73 and get 49 nickels.

You might be interested in
HURRY ITS TIMED
LenaWriter [7]

Answer: I'm pretty sure this is a direct relationship

7 0
3 years ago
Cindy's age, x, is 3 times her age 6 years ago.
Ugo [173]

The algebraic expression for the statement Cindy's age, x, is 3 times her age 6 years ago is 3(x-6).

The given statement is Cindy's age, x, is 3 times her age 6 years ago.

We need to represent the given statement as the algebraic expression.

<h3>What is an algebraic expression?</h3>

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.

6 years ago Cindy's age(x) is x-6.

3 times Cindy's age=3(x-6)

Therefore, the algebraic expression for the statement Cindy's age, x, is 3 times her age 6 years ago is 3(x-6).

To learn more about the algebraic expression visit:

brainly.com/question/953809.

#SPJ1

3 0
1 year ago
F(x)= 1/x−3+7 Find the inverse of f(x) and its domain.
castortr0y [4]

Answer:

f(x)^-1 = x - 4

D: {x is all real numbers}

Step-by-step explanation:

change f(x) to y

switch x with y and vice versa

solve for y

4 0
3 years ago
Which expression is a cube root of -1+ i sqrt 3? (multiple choice)
lara31 [8.8K]

Answer:

see below

Step-by-step explanation:

Find the magnitude   (-1)^2  + (sqrt3)^2 = m^2   m = 2

find the angle    arctan (sqrt3/-1) = 120 degrees

the cube root would then be

\sqrt[3]{2}(cos 40 + isin 40)

6 0
2 years ago
How can conversion of measurements help me solve real world problems
jeka57 [31]
In different parts of the world people use different units. Being able to convert will help me understand and fit into their surroundings. Like for instance in Canada people measure speed in kilometers, so their speed limits are written in kmph. While in America the speed is measured in miles so Mph. Knowinf=g the conversions can help you drive safely and not get a ticket.
Hope that was what you were expecting.
6 0
3 years ago
Other questions:
  • Geometry help, please.
    12·1 answer
  • What is the value of the function at x=−3?
    8·1 answer
  • Ms. Reyes is buying colored pencils for her art class. The table below shows the different sizes of boxes of pencils. What is th
    6·2 answers
  • Determine the domain and range of f(x) = |2x + 1|
    5·1 answer
  • Given the equation y = 3x − 4, what is the value of x when y = 5? A) 3 B) 6 C) 9 D) 12
    9·1 answer
  • - 7/9 • 5/7 <br> And subscribed to my YouTube alyha_diys
    8·2 answers
  • 18. Describe the shape of the data distribution.
    9·1 answer
  • The farmer owned 100 acres of land. A year later he bought more property and then owned 140 acres. Is this a percent increase or
    6·1 answer
  • How to solve all fraction algebra?
    7·1 answer
  • I NEED YOUR HELLPPP!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!