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erica [24]
3 years ago
15

Given that

Mathematics
2 answers:
yulyashka [42]3 years ago
5 0

Answer:

y = - 49

Step-by-step explanation:

Given

7x - 2y = 35 ← substitute x = - 9 into the equation

7(- 9) - 2y = 35, that is

- 63 - 2y = 35 ( add 63 to both sides )

- 2y = 98 ( divide both sides by - 2 )

y = - 49

mezya [45]3 years ago
4 0

Answer:

\boxed{y = -49}

Step-by-step explanation:

=> 7x-2y = 25

Given that x = -9

=> 7(-9)-2y = 35

=> -63 -2y = 35

Adding 63 to both sides

=> -2y = 35+63

=> -2y = 98

Dividing both sides by -2

=> y = 98/-2

=> y = -49

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Ralph Chase plans to sell a piece of property for ​$150000. He wants the money to be paid off in two ways a - ​short-term note a
Artyom0805 [142]

Answer:

Amount on 11% note = $106,666.67

Amount on 8% note = $43,333.33

Step-by-step explanation:

Let the amount for the ​short-term note at ​11% interest be x.

Thus, the amount for the ​short-term note at ​8% interest will be (150000 - x)

Now we are told that the total interest paid is $15,200.

Thus;

0.11x + 0.08(150000 - x) = 15200

0.11x + 12000 - 0.08x = 15200

Rearranging gives;

0.03x = 15200 - 12000

0.03x = 3200

x = 3200/0.03

x = $106666.67

Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33

5 0
2 years ago
WILL MARK BRAINLIEST
mars1129 [50]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in
UNO [17]

Answer:

rate\ of\ increase = 28.8\ billion\ dollars\ per\ year

model: y = 28.8(t-2003) + 2

profit in year 2017: y =  405.2\ billion\ dollars

Step-by-step explanation:

The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

rate\ of\ increase = (146 - 2)/5 = 144 / 5 = 28.8\ billion\ dollars\ per\ year

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

y = ax + b

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

y = 28.8(t-2003) + 2

In the year 2017, we would have:

y = 28.8(2017-2003) + 2

y = 28.8*14 + 2

y =  405.2\ billion\ dollars

6 0
3 years ago
Find the midpoint of the segment with the given endpoints (5,-9) and (-2,-2)
QveST [7]
Another way to solve this is to use the Midpoint Formula.  The midpoint of a segment joining points (x_1,y_1) and (x_2,y_2) is

\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} \right)

So the midpoint of your segment is

\left(\frac{5+(-2)}{2},\frac{-9+(-2)}{2}\right) = \left(\frac{3}{2},-\frac{11}{2} \right)

Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points.  Ditto for the y-coordinate of the midpoint; just average the y's.
6 0
3 years ago
ZABC and ZQRS are supplementary angles.
Leno4ka [110]

Answer:

Solution given:

<ABC and <QRS are supplementary angles.

<ABC = 91°

we have

<ABC +<QRS=180°[supplementary]

<QRS=180°-91°=89°

m<QRS=89°

8 0
3 years ago
Read 2 more answers
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