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natita [175]
3 years ago
13

Marty is taking piano lessons. She is going to practice every afternoon. The 1st week she practiced for 11 minutes each day. The

third week she practiced for 25 minutes each day. This is a linear relationship. Write an equation to represent that represents the number of minutes practiced daily, m, in relationship to the number of week, w.
Mathematics
1 answer:
defon3 years ago
3 0

Answer:

m=7w+4

Step-by-step explanation:

<u>Linear Modeling</u>

It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.

For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

\displaystyle m-m_1=\frac{m_2-m_1}{w_2-w_1}(w-w_1)

Let's plug in our values

\displaystyle m-11=\frac{25-11}{3-1}(w-1)

Simplifying:

m-11=7w-7

\boxed{m=7w+4}

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Predict:<br> y=20<br> x=35<br> Predict for x=40
11Alexandr11 [23.1K]
X is left and right

hmm
see the aproximate slope
see endpoints
ok, so from about (0,3) to (35,30)
slpoe is 27/35

so
y=(27/35)x+3 about
so when x=
ok, so according to the garph, when x=35, y=30, not 20


ok, so when x=40

y=(27/35)x+3
y=(27/35)*40+3
y=33.8571 about for x=40
6 0
3 years ago
Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s
noname [10]

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

<span><span>6!</span><span>6!</span></span>

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

7 0
3 years ago
The table shows the number of boys and girls who signed up for certain summer classes.
Makovka662 [10]

Answer:

Music and Dance

Step-by-step explanation:

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7 0
2 years ago
The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approxim
olga55 [171]

Answer:

7.96 *10^8kg

Step-by-step explanation:

Given

Eiffel = 9.16 * 10^6\ kg

Golden\ Gate =8.05 * 10^8kg

Required

Determine the difference in mass

This is calculated by subtracting the mass of Eiffel tower from the mass of Golden gate bridge

Difference = Golden\ Gate - Eiffel

Difference = 8.05 * 10^8 - 9.16 * 10^6

Express 10^8 as 10^6 * 10^2

Difference = 8.05 * 10^2*10^6 - 9.16 * 10^6

Express 10^2 as 100

Difference = 8.05 * 100*10^6 - 9.16 * 10^6

Difference = 805 *10^6 - 9.16 * 10^6

Factorize:

Difference = (805- 9.16) * 10^6

Difference = 795.84 * 10^6

Factorize the decimal number

Difference = 7.9584 *10^2 * 10^6

Difference = 7.9584 *10^8

Approximate:

Difference = 7.96 *10^8

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