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2 years ago

Write and solve the system using any method:

Mathematics

1 answer:

Leona [35]2 years ago

7 0

Answer:

1. x + y = 25

2. x - y = 7

3. x = 16, y = 9

Step-by-step explanation:

(x + y = 25) + (x - y = 7)

2x (the y cancels) = 32

32/2 = 16, x = 16

substitute x in either equation

16 + y = 25

y = 9

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decided to purchase a new Toyota 4Runner for $25,635. you have promised your daughter that the SUV will be hers when the car is

Stella [2.4K]

Answer:

y = -3000x + 25,635

Step-by-step explanation:

well if the inital value of the car is $25,635 this means that when

x = 0 y = 25,635

(0 , 25635)

this will be our first point

Now if you tell us that in 1 year depreciate in value $3,000

this means thaw when

x = 1 y = 25,635 - 3,000

x = 1 y = 22,635

(1, 22635)

Now that we have 2 points we can have the equation

First we take the slope as follows

m = (y2 - y1) / (x2 - x1)

m = (22,635 - 25,635) / (1 - 0)

m = -3000 / 1

m = -3000

after calculating the slope we have to replace it in the following formula

(y - y1) = m (x - x1)

y - 25,635 = -3000 ( x - 0)

y - 25,635 = -3000x

y = -3000x + 25,635

Finally we replace the value of y by 10000

10,000 = -3000x + 25,635

10,000 - 25,635 = -3000x

-15,635 = -3000x

-15,635/-3000 = x

5.21167 = x years

These are the years it would take for the value to be 10,000

to know the days we simply multiply by 365

5.21167 * 365 = 1902.26 days

4 0

2 years ago

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10

kipiarov [429]

step 1

find the coordinates of the factory

the factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)

coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport

let

A coordinates of warehouse-------> A( 39,-52)

B coordinates of airport---------> B(-39,52)

C coordinates of factory-------> C(39,52)

distance AB=√[(52+52)²+(-39-39)²]------> distance AB=130 miles

step 3

find the distance airport to factory

B(-39,52)

C(39,52)

distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

the total number of miles=distance AB+distance BC---> 130+39

the total number of miles=169 miles

<em>Thus</em> the answer is 169

4 0

2 years ago

Read 2 more answers

1=5 2=25 3=325 4=4325 6=?

Ipatiy [6.2K]

Answer:

6= 654325

:))))))))))

3 0

3 years ago

The lunch lady had 5 pound of lasagna. If she makes 1/4-pound servings using this amount of lasagna, how many servings can she m

jekas [21]

She could make 20 servings of lasagna.

There are 4 servings per pound of lasagna, and there are 5 pounds total.
4 x 5 = 20

6 0

2 years ago

Find the GCF of <img src="https://tex.z-dn.net/?f=18x%5E%7B3%7D" id="TexFormula1" title="18x^{3}" alt="18x^{3}" align="absmiddle

melamori03 [73]

18x^3 = 6x^3 * 1

30x^5 = 6x^3 * 5x^2

So GCF = 6x^3

Answer

6x^3

8 0

2 years ago

Read 2 more answers