answer.
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
Rashid [163]
2 years ago
12

Elijah and Jonathan play on the same soccer team. They have played 3 of their 15,

Mathematics
1 answer:
Lynna [10]2 years ago
5 0

Answer:

Only Elijah's model is correct

Step-by-step explanation:

The data given in the question tells us they have 12 games left on their soccer team. Each one of them tried to simulate the fact by creating some model which look like a balance between quantities.

Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance. On the other side, he placed 15 cubes of value 1. He was obviously modeling the fact that 15 cubes (games due to play in our case) should be equal to 3 cubes (games already played) plus the x numbers left to play

This model if perfect, since the only way to equilibrate the balance is setting x to 12, the games left to play

Jonathan used a table with 3 x's in a row and a 15 in the second row, trying to model the same situation. To our interpretation, this table doesn't show the number of games left to play. If we equate 3x = 15, we get x=5 which has nothing to do with the situation explained in the question, so this model is not correct.

You might be interested in
Craig is considering four loans. Loan L has a nominal rate of 8.254%, compounded daily. Loan M has a nominal rate of 8.474%, com
nalin [4]
<span>In order for you to be able to determine on which is the best effective interest rate, we need to compute each interest and see on how much would it accrue after it matures. The formula to use is the compound interest formula which is A=P(1+r/n)^nt, wherein A is the amount of due including the interest, P as the principal, r as the interest rate, n as the number of times it would be compounded per year and t as the number of years it would be loaned. To reassign the formula with each given interest rate, and assuming that the amount to be loaned would be 1,000 and the number of years it would be loaned will be 5 years, the amount due after 5 years for the 8.254% compounded daily will be 1,510.82, for the 8.474% compounded weekly will be 1,527.03, for the 8.533% compounded monthly will be 1,529.80, for the 8.604% compounded yearly will be 1,510.88. The best effective interest rate offer would be the 8.254% compounded daily.</span><span />
4 0
2 years ago
Read 2 more answers
2.8 meters linen divided into 45 cm pieces = # of pieces and waste
pogonyaev
2.8 meter= 2800cms

To solve this, we can create a simple algebraic equation:
45x=2800
Divide both sides by 45.
(45x)/45=(2800)/45
x=62.222

You can make 62 full pieces.

To find the waste, multiply the numbers of pieces by the length of each.
62*45
=2790
2800-<span>2790
=10 centimeters

There would be 10 centimeters of wasted linen.

Hope this helps!
-Benjamin</span>
6 0
2 years ago
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would
nadya68 [22]
Weight is the mass of the object * the acceleration due to gravity, so if the gravity changes the weight changes.
Thus, you want to put the situational data on their own, so the ratios you want to set up is:
\frac{M \ weight1}{M \ weight2} = \frac{E \ weight1}{E \ weight2}\\&#10;\frac{32lb}{15lb}=\frac{200lb}{x}\\&#10;32*x=200lb*15lb\\&#10;x=93.75lb
So a person that weighs 15 pounds on the moon weighs 93.75 pounds on Earth.
8 0
2 years ago
Read 2 more answers
The line 3y+x=25 is a normal to the curve y=x2-5x+k.find the value of constant k.
ladessa [460]

Answer:

k = 11.

Step-by-step explanation:

y = x^2 - 5x + k

dy/dx = 2x - 5 = the slope of the tangent to the curve

The slope of the normal = -1/(2x - 5)

The line  3y + x =25 is normal to the curve so finding its slope:

3y = 25 - x

y = -1/3 x + 25/3 <------- Slope is -1/3

So at the point of intersection with the curve, if the line is normal to the curve:

-1/3 = -1 / (2x - 5)

2x - 5 = 3  giving x = 4.

Substituting for x in y = x^2 - 5x + k:

When x = 4, y =  (4)^2 - 5*4 + k  

y = 16 - 20 + k

so y = k - 4.

From the equation y = -1/3 x + 25/3,  at x = 4

y = (-1/3)*4 + 25/3 = 21/3 = 7.

So y = k - 4 = 7

k = 7 + 4 = 11.

6 0
2 years ago
If a stadium pays $11000 for labor and $7000 for parking what would the stadiums parking revenue be if the stadium is hoping par
Alchen [17]

Answer:

$300,000

Step-by-step explanation:

Labor  cost = $11,000

Parking  cost= $7,000

Parking Labor cost = $ 18,000

Parking Revenue = ?

From the question, parking labor cost is 6% of Parking revenue.

6% =   Parking Labor cost/ Parking Revenue------------------------------------ (1)

Further substituting in (1) gives:

6/100  =  18,000/ Parking Revenue

Making Parking Revenue the subject of the formula, we have:

Parking Revenue = (100 x 18,000)/6

                             = $300,000

4 0
2 years ago
Other questions:
  • Bao Yu is completing the square to solve the polynomial equation.
    12·2 answers
  • The measure of ∠1 =<br><br> 55<br> 62.5<br> 110
    10·2 answers
  • Which function is shown in the graph below?
    9·2 answers
  • Each quart of paint costs $8 and covers 90 square feet. Find the total cost to paint this wall once. Justify your answer
    9·1 answer
  • Six customers enter a three-floor restaurant. Each customer decides on which floor to have dinner. Assume that the decisions of
    12·1 answer
  • A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top and bottom are ma
    13·1 answer
  • Write the expanded form of h(3k-12.4)
    13·1 answer
  • Scarlett is designing a package for a candy her company makes. She has cut several cardboard equilateral triangles, squares, rec
    5·1 answer
  • Tara earns $8.50 an hour (after taxes) at the pizza place. She is scheduled to work four hours this afternoon. However, her frie
    12·1 answer
  • Five and nine tenths in expanded form and standard
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!