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Likurg_2 [28]
3 years ago
9

Solve the system of equations. \begin{aligned} &-9y+4x - 20=0 \\\\ &-7y+16x-80=0 \end{aligned} ​ −9y+4x−20=0 −7y+16x−80=

0 ​
Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0

Answer:

(5 , 0)

Step-by-step explanation:

7 * (−9y+4x−20)=0

9 * (−7y+16x−80)=0

-63y + 28x -140 = 0 ......a

-63y + 144x -720 = 0 .....b

b-a:  116x - 580 = 0

116x = 580

x = 5

y = (4x-20)/-9 = 0/-9 = 0

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Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cos
vagabundo [1.1K]

Answer:

To determine the number of shirts that Lisa can buy, knowing that each one is worth $ 14, that she can spend a maximum of $ 150 and that she will also buy a pair of jeans for $ 58 and a pair of shoes for $ 39, the following calculation must be performed:

(150 - 58 - 39) / 14 = X

53/14 = X

3.78 = X

53 - (14 x 3) = X

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Therefore, Lisa can buy 3 T-shirts, and she will have 11 dollars left over.

5 0
3 years ago
Andrea recorded the points she scored in her last eight basketball games. What is the mean absolute deviation of the scores
grandymaker [24]
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The attached work shows how to find the MAD (mean absolute deviation).

Here are the steps:
1.  Find the mean of the data.  2.  Find the difference between the mean and the data values. 3.  Find the average of these differences.

6 0
3 years ago
A line passes through the point (0, –1) and has a slope of -2/3 What is the equation of the line?
Troyanec [42]
The slope formula:
y=mx+b
m - a slopeb - y-intercept
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6 0
3 years ago
Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for
Anni [7]

Option C

Monthly loan payment is $ 93.33

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

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

<em><u>Hence net principal is given as:</u></em>

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

<em><u>Let us first calculate the simple interest</u></em>

The formula for simple interest is given as:

\text{ simple interest } = \frac{ p \times n \times r}{100}

Substituting the given values,

\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

<em><u>How much are the monthly loan payments?</u></em>

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

\text{ Monthly loan payment } = \text{ Total amount payable } \div 24

\text{ Monthly loan payment } = \frac{2240}{24} = 93.33

Thus monthly loan payment is $ 93.33 Option C is correct

4 0
3 years ago
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