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kramer
3 years ago
6

4X plus 3Y equals 24 is delayed by a scale factor of two centered at the .3, for the equation of the daily line is Y equals -4 o

ver 3X +16 Is she correct

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

Aaliyah isn't correct.

Check the Explanation for the reasons why she is wrong.

Step-by-step explanation:

The complete question is attached to this solution.

Lines with equations in a coordinate system are basically stretched forever. Because, for every value of x, we will be able to obtain a corresponding value for y.

So, dilating this line by a scale factor of 2 and centering the line about a point (3, 4) (which is a point on the line), doesnt change anything about the equation of the line.

4x + 3y = 24

we show that (3, 4) is a point on the line

4(3) + 3(4) = 12 + 12 = 24. (Proved).

So, writing this equation of the line in the form of y = mx + c, we obtain

4x + 3y = 24

3y = -4x + 24

y = (-4x/3) + 8

which is very different from the equation of the line that Aaliyah has written;

y = (-4x/3) + 16

This proves the point that Aaliyah isn't correct.

Hope this Helps!!!!

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Linda's start up cost for her online jewelery store was $250, as she has to pay an additional $60per month to keep it running. W
Goryan [66]

Total Cost = 250 + 60x is the equation that models the given situation

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

Given that, Linda's start up cost for her online jewelery store was $250

She has to pay an additional $60 per month to keep it running

To find: Equation that models this situation

From given,

Start up cost = $ 250

Let "x" be the number of months she keeps the store running

Additional pay per month = $ 60

Thus, the total cost Linda spend to keep the store running is given as:

Total Cost = Startup cost + (Additional pay per month)(number of months)

Total\ Cost = 250 + 60x

Thus the equation that models the given situation is found

5 0
3 years ago
1. Alice invests $1000 at 2% interest compounded monthly over a 5 year period. Assuming no other money is deposited or withdrawn
eduard

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

6 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
3 years ago
Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. Find the probabi
AlekseyPX

Answer:

$80

Step-by-step explanation:

400÷50= 80 which is the weekly rate of wages

7 0
3 years ago
Read 2 more answers
HELP I NEED THIS DONE NOW!
SashulF [63]

Answer:

-3.8 - (7.2-10 3/8)

-3.8+(-7.2+10 3/8) this is the error, it's positive 10 3/8, not negative, then you should solve what's in the parentheses first

I simplified 10 3/8 into 83/8 and then 10.375

-3.8+(-7.2 + 10.375)

-3.8+ 3.175 = -0.625

5 0
2 years ago
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