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
Ivan
3 years ago
15

Blue cassettes hold 45 minutes of music. Green cassettes hold 55 minutes of music. If Niko has 16 cassettes containing 830 minut

es of music, how many are blue, and how many are green?
Mathematics
2 answers:
iogann1982 [59]3 years ago
6 0
Form a pair of linear equations,

x = Blue cassettes
y = Green cassettes

x + y = 16 ==> Equation 1
45x + 55y = 830 ==> Equation 2

x = 16 - y ==> Equation 3
45(16 - y) + 55y = 830
720 - 45y + 55y = 830
10y = 830 - 720
10y = 110
y = 110 / 10
y = 11 Green cassettes

x = 16 - y
x = 16 - 11
x = 5 Blue cassettes
Aneli [31]3 years ago
3 0
B + g = 16.....b = 16 - g
45b + 55g = 830

45(16 - g) + 55g = 830
720 - 45g + 55g = 830
-45g + 55g = 830 - 720
10g = 110
g = 110/10
g = 11 <=== there are 11 green cassettes

b + g = 16
b + 11 = 16
b = 16 - 11
b = 5 <=== there are 5 blue cassettes
You might be interested in
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
ki77a [65]

Answer:

10 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be hypotenuse, then

h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

h = \sqrt{100} = 10

The hypotenuse is 10 ft

5 0
3 years ago
Read 2 more answers
How does using a model help me multiply decimals by whole numbers?
valkas [14]
Counting them it simple
5 0
2 years ago
There are 35 birds in a tree. Then 17 flew away. How many birds are tin the tree now. Regroup a ten.
alexira [117]
18 birds are left then regroup a ten 28 I hope it’ helps
4 0
3 years ago
Read 2 more answers
What is 25% off of $34.99?
lesya [120]
25% is a fourth of something so first round $34.99 to about $35 and just get one fouth of it which would be a little less than $9 but if you put it into the calculator it will tell you that it is about $8.75 (to calculate using the calculator you need to chane the percentage to a decimal and multiply it) 
6 0
3 years ago
Compare Look at these equations. Do you think they are all linear equations? Can they
Georgia [21]

Answer:

Yes they can all be written in y = mx + b. You just have to move the terms around.

Step-by-step explanation:

y = 2x -3, this is already in slope-intercept form

Now, y - 2 = x + 2: We can add 2 on both sides to cancel out the one on the left side:

y - 2 = x + 2

y - 2 + 2 = x + + 2

y = x + 4 <-- This is in y = mx + b form

Now the last one, 3x = 9 + 3y

We can first divide all terms by 3,

3x = 9 + 3y

/3     /3   /3

x = 3 + y: Then we can subtract 3 from both sides:

x - 3 = 3 + y - 3

x - 3 = y

These are all linear equations because none of the x's have bigger powers than 1. x^2 is a quadratic equation and x^3 is cubic equation.

6 0
2 years ago
Other questions:
  • I need this answered soon please
    14·1 answer
  • It is cloudy outside. What is the first step of indirectly proving this statement?
    14·1 answer
  • Solve question 21 in the photo☺
    8·1 answer
  • Please explain the steps to me . i’m genuinely confused
    8·2 answers
  • The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use f
    9·2 answers
  • Solve the equation need help ASAP 48 points
    11·1 answer
  • Nadia is painting the four sides of a rectangular trough. If a can of paint will cover 20 ft2, how many cans will she need to bu
    5·1 answer
  • Select all of the following points that lie on the graph of f(x) = 7 - 3x.
    11·1 answer
  • Please help!!!!!!!!!!!!!!!!!!
    9·2 answers
  • Help fast please need answer quick​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!