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
son4ous [18]
3 years ago
5

Two models of cellular telephones, red and blue, are stored in boxes. One box weighs twelve pounds and contains four of the red

models and one blue model. Another box weighs eight pounds and contains one blue model and two red models. How much does each model weigh?
Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0
First, make a equation in which r= red and b=blue.

So, since in the first box it has 4 red models and one blue model equaling 12,

the first equation looks like 4r+b=12.

The second equation looks like 2r+b=8.

What you would do is try and first solve for r by getting rid of b.

Since both equation has a positive b, you would make one equation have a negative b by multiplying the whole equation by -1.

-1*(2r+b=8)= -2r-b=-8

Add.

4r+b=12
+(-2r-b=-8)

2r=4
r=2

Then, you plug in 2 for the r for any of the original equations.

4(2)+b=12

8+b=12

b=4

or

2(2)+b=8

4+b=8
b=4

So, the red models weigh 2 pounds while the blue models weigh 4.



You might be interested in
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya
Hatshy [7]

Answer:

Layota

$47.5

Step-by-step explanation:

Let number of hours = x

Given that:

Oscar's charges :

First hour = $25

Additional hours = $15

Thus :

Total charge : 25 + 15(x - 1)

The piece wise equation given for Layota's charge rate :

First 3 hours = $30

Next 3 hours = $20

Hours greater Than 6 = $10

If total hours ; x = 5.5 hours

Oscar :

$25 + $15(5.5 - 1)

$25 + $15(4.5)

$25 + $67.5

= $92.5

Layota:

First 3 hours :

$30 * 3 = $90

Hours left :

$20 * (5.5 - 3)

$20 * 2.5 = 50

Total = $90 + $50 = $140

Layota charges more : 140 > 92.5

Difference :

$140 - $92.5

= $47.5

8 0
3 years ago
Angelo earns $2,080 each month. His total deductions are 30% of his pay. How much is deducted from his pay each month? 
Fofino [41]
C. $693.33. Just round. It helps. Round 2,080 to 2,100. Then whats 30% of 2,100? It's easy just think of 21 divided by 3, which equals 7. So, 700 and the closest answers to that is $693.33. That's just the easy way instead of doing the math out. And it is also common sense that B or D wouldn't be it. So your left with C or A. :)
7 0
3 years ago
Read 2 more answers
Determine whether the lines are parallel, perpendicular, or neither. <br> x = 3<br> and y = 4
Katyanochek1 [597]
I think they’re perpendicular lines
5 0
3 years ago
Question 1 (1 point)
alisha [4.7K]

Answer:

See below

Step-by-step explanation:

1) x=2-1

x=1

2) (x+1)(x+1)=2(x+1)

3) 10x-20 -11 = 4+3x

10x-3x=20+11+4

7x=35

x=5

5 0
2 years ago
Find the minimum sample size needed to estimate the percentage of Democrats who have a sibling. Use a 0.1 margin of error, use a
Brums [2.3K]

Answer:

The minimum sample size is  n  =135

Step-by-step explanation:

From the question we are told that

   The confidence interval is ( lower \ limit  = \  0.44,\ \ \   upper \ limit  = \ 0.51)

    The margin of error is  E =  0.1

   

Generally the sample  proportion can be mathematically evaluated as

     \r p = \frac{ upper \ limit  + lower \ limit }{2}

    \r p = \frac{ 0.51 + 0.44}{2}

    \r p = 0.475

Given that the confidence level is  98% then the level of significance can be mathematically evaluated as

         \alpha = 100 -  98

        \alpha = 2\%

        \alpha =0.02

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table  

   The value is

        Z_{\frac{\alpha }{2} } =  2.33

Generally the minimum sample size is evaluated as

      n  =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 *  \r p (1- \r p )

     n  =[ \frac { 2.33}{0.1} ]^2 *  0.475(1- 0.475 )

     n  =135

6 0
3 years ago
Other questions:
  • Use this formula to find all the solutions of the equation. (Round terms to four decimal places)
    13·1 answer
  • I need help on this question if someone can help me that would be great
    6·2 answers
  • What does 1.4x + 2.8y equal to?
    8·2 answers
  • What is the range of f?
    5·1 answer
  • If a bucket has three black balls and seven green balls, and we draw balls without replacement, the probability of drawing a gre
    8·1 answer
  • A number cube is rolled. What is the likelihood that a number less than or equal to three is rolled?
    8·1 answer
  • Evaluate the expression using substitution ( m=3, y =-5)<br><br> 5m + 3y/5 + 4( m-y)
    6·1 answer
  • !!! ANSWER THE PROBLEM ASAP !!!
    14·1 answer
  • Of the 50 students in Mr. Mitchell’s classes, 60% are girls. On Friday,20 %
    11·1 answer
  • Select all the equations that are true, and you can only pick 3...
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!