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n200080 [17]
3 years ago
10

Billy and Sam started with the same number of baseball cards in their collections. Billy collected 3 cards per week and now has

29 cards. Sam collected 2 cards per week and now has 20 cards. Let x represent the number of cards they began with, and let y represnt the number of weeks. Which system of equations represents this situation?
Mathematics
2 answers:
IRISSAK [1]3 years ago
7 0
X+3y=29
x+27=20
These are the two equations for the given problem
Elina [12.6K]3 years ago
3 0

Answer:

x+3y=29

x+2y=20

Step-by-step explanation:

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Suppose that a regression line for some data transformed with logarithms predicts that when x equals 4, log(y) will equal 3.331.
deff fn [24]

Option D

The regression line predicts that at x = 4, y equals 2143

<em><u>Solution:</u></em>

Given that when x equals 4, log(y) will equal 3.331

To find: Find y when x equals 4

Since we have given that,

When x = 4,

\text{ log } y = 3.331

We need to find the value of 'y' when x = 4

log_{10}y = 3.331

Since it is logarithmic function with base 10, Raise to power of 10 on both sides,

10^{log_{10}y} = 10^{3.331}\\\\\text{10 power log base 10 cancels, we get }\\\\y = 10^{3.331}\\\\y = 2142.89

On rounding to nearest whole number, we get 2143

Thus Option D is correct

7 0
3 years ago
Someone please help me
taurus [48]

Answer:

y= 5 x=9

Step-by-step explanation:

i think im not sure!

8 0
3 years ago
Find the average rate of change for the given function from x = -3 to x = 1.
Alika [10]
Average rate of change from x = -3 to x = 1 is (f(1) - f(-3))/(1 - (-3)) = (5 - (-3))/(1 + 3) = (5 + 3)/4 = 8/4 = 2
3 0
3 years ago
17) Solve the system as matrix equations using inverses. 17) A company produces three models of MP3 players, models A, B, and C.
Vinvika [58]

Answer:

Model A=30, Model B: 20, Model C: 45

Step-by-step explanation:

Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.

Since in total there are 303 hours for electronics work, then:

3.2x+5.4y+2.2z=303

Since in total there are 393 hours for assembly, then:

2.8x+2.4y+5.8z=393

Since in total there are 416 hours for quality assurance, then:

4.4x+3.4y+4.8z=416

Then, the linear system associated to the problem is

3.2x+5.4y+2.2z=303\\2.8x+2.4y+5.8z=393\\4.4x+3.4y+4.8z=416

with coefficient matrix A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right] and vector of constant terms b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system Ax=b, is enough find the inverse of A and operate

Ax=b\\A^{-1}Ax=A^{-1}b\\x=A^{-1}b

Using Octave we obtain that

A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]

Then

x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

8 0
3 years ago
What is the best estimate for the sum of 3/8 and 1/12
ZanzabumX [31]
3/8 + 1/12 = 11/24

Just add straight across
8 0
4 years ago
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