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ruslelena [56]
4 years ago
10

Someone answer this question for me .

Mathematics
1 answer:
seropon [69]4 years ago
5 0

Answer:

Let x be the number of hours worked in each case

Let m be the amount of dollars each of them make working in their respective jobs

Let b be the amount each of them has saved before working.

The equation that represents both cases is a line

y = m*x +b    (slope intercept form)

Maryann

y1 = 6($/hour) *x + $9

Carlos

y2 = 9($/hour) *x + $3

The slopes represent the amount of dollars each of them can make in an hour

We are basically asked to find the solution of the system of equations

(amount of hours = x, and amount  of $ obtained = y)

Using a graphing tool, we can easily find the intersection of both graphs, which represent the solution for the problem.

The solution is

Hours of work = x = 2

Amount  of $ obtained = y = 21

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Use the Babylonian method of false position to solve the following
Mice21 [21]

Answer:

  • length: 32
  • width: 24

Step-by-step explanation:

<u>Assume a solution</u>

Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.

The diagonal of this rectangle is found using the Pythagorean theorem:

  d = √(60² +45²) = √5625 = 75

<u>Make the adjustment</u>

This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.

  length = (8/15)×60 = 32

  width = (8/15)×45 = 24

The length and width of the rectangle are 32 and 24, respectively.

_____

<em>Comment on this solution method</em>

This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.

5 0
3 years ago
Marty wants to plant grass in a rectangular section of his backyard. The section where he wants grass measures 6.62 meters by 4.
Strike441 [17]
Lets first look at the formula, then substitute for the formula, then solve. lets do it:-

A = lw
A = Area
l = lentgh
w = width

A = lw
l = 6.62 meters
w = 4.55 meters

A = lw
A = 6.62 × 4.55
A = 30.121 meters

So, the area of this section is 30.121 Meters.

Hope I helped ya!! xD
4 0
4 years ago
Read 2 more answers
If 5b -1= b, then 16b =
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Answer:

80b-16

Step-by-step explanation:

16(5b-1)

8 0
3 years ago
Which are the same as the number 23?<br> Choose all answers that apply:
ivolga24 [154]

Answer:

Which numbers?

Step-by-step explanation:

4 0
3 years ago
What is the slope of the line that passes through the points (9, 5) and (21, 1)?
AleksandrR [38]

Answer:

\displaystyle m = \frac{-1}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (9, 5)

Point (21, 1)

<u>Step 2: Solve for slope </u><em><u>m</u></em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{1-5}{21-9}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{-4}{12}
  3. [Fraction] Simplify:                                                                                            \displaystyle m = \frac{-1}{3}
5 0
4 years ago
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