Derek bought his truck for $30,000. The value has dropped by $900 each year. He determined that the value of his truck (V) can be modeled by: V = 30,000 - 900x where V is the value of the truck and x is the number of years since he bought his truck.

How much will his truck be worth 10 years after he bought it?

Answer:

y = -1/5x + 6

Step-by-step explanation:

First rearrange x + 5y = 10 into y = mx + b format.

x + 5y = 10

5y = -x +10

y = -1/5x + 2

If a line is parallel to y = -1/5x + 2, it must have the same slope (-1/5).

Plug in for y = mx + b

x (x coordinate) = -5

y (y coordinate) = 7

m (slope) = -1/5

Solve for b.

7 = -5(-1/5) + b

7 = 1 + b

b = 6

y = -1/5x + 6 is parallel.

Answer:

down here (no pair for 1/3 so i made one up)

Step-by-step explanation:

2/8 = 1/4

4/8 = 1/2

1/3 = 2/6

6/10 = 3/5

Answer:

[tex]g = \frac{ x - 2}{3} [/tex]

Answer: g=x-2/3

Step-by-step explanation:

When it says make g the subject it means make it on it's own in front of the '=' sign.

To make g the subject, you have to do the inverse to 'undo' the equation.

So, instead of adding 2, you have to take away 2 from x. This would now look like this:

x-2=3g

In algebra, when a number is next to a letter it means times. So instead of multiplying g by 3, you would have to divide x-2 by 3. This would now look like this:

x-2/3=g

Hope this helps :)

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

Answer:

Ascending: 6.0123, 6.0321, 6.321, 6.331, 60.123

Descending: 60.123, 6.331, 6.321, 6.0321, 6.0123

Answer:8.1/2.7/0

Step-by-step explanation: X = 0 is undefined,.

Answer:

3. B

4. D

hope this helps

Answer:

it a

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + y = 5       ← given line

2x + y = C      ← any parallel line

The line passing through (0, 1), therefore:

2×0 + 1 = C

C = 1

2x + y = 1    ←  the parallel line that passes through (0, 1)

To change it to slope-intercept form we just need to subtract 2x from both sides:

y = -2x + 1

Answer:

EZ Excavation: y = 24.5x

Happy Hauling Service: y = 25x

Step-by-step explanation:

✔️Equation for EZ Excavation:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using any given pair of values from the table, say, (8, 196),

k = 196/8

k = 24.5

To write the equation, substitute k = 24.5 into y = kx

Thus:

y = 24.5x

✔️Equation for Happy Hauling Service:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using the coordinate of any point on the line, say (1, 25),

k = 25/1

k = 25

To write the equation, substitute k = 25 into y = kx

Thus:

y = 25x

Answer:

a 25 questions, 4 points   b 19 questions

Step-by-step explanation:

a 96:100 = 24 : x

x = (100 x 24)/96 = 25 questions

100 : 25 = 4 points

b 76:100 = x : 25

x = (76 x 25)/100 = 19 questions

Answer:

Question 1:

There are 25 questions on the test.

Each question is worth 4 marks each.

Question 2:

Your friend answered 19 questions correctly

Step-by-step explanation:

Question 1:

question answered = 24

percent earned = 96%

total number of points = 100%

[tex]\frac{questions answered }{percentage earned}[/tex] x 100

[tex]\frac{24}{96}[/tex] x 100 ⇒ 0.25 x 100 ⇒ 25

there are 25 questions on the test

[tex]\frac{100}{25} = 4[/tex]

each question is 4 marks each

Question 2:

percent earned by your friend = 76%

(percent earned by your friend x total number of question) ÷ 100

76 x 25 ÷ 100

1900 ÷ 100

= 19

Answer:

60 squared cm

Step-by-step explanation:

If half of the top of the shape is 3, that means the whole top is 6.

6 x 10 = 60

Area = Length x Width

Answer and Step-by-step explanation:

So, the negatives cancel and turn into a positive.

The red squared of 5 become green squares.

Answer:

Step-by-step explanation:

it will always be true as long as it is adittion the r is the unknown number just add 15 plus what equals 25

Answer:

5=10(0)+5

Step-by-step explanation:

1.write the equation y2-y1/x2-x1

2.fill in your coordinates

3.substitute and there is your slope (m)

4.write out y=mx+b

5.fill in y (5) and x (0) with the first coordinates and add 10 to m

6.sunsitute till you've solved b

7.there ya go (:

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

60,000 chose veggie burgers.

30,000 chose regular burgers.

Step-by-step explanation:

90,000 x 2/3 = 60,000

90,000 x 1/3 = 30,000

Hope that helps!

The number of people preferred the veggie burgers is 60,000 and the number of people preferred the regular burgers is 30,000.

Given that, a taste-testing survey of Zing Farms showed that 2/3 people surveyed preferred the taste of veggie burgers to regular burgers.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, 2/3 × 90,000

= 2 × 30,000

= 60,000

So, number of people preferred the regular burgers = 90,000-60,000

= 30,000

Therefore, the number of people preferred the veggie burgers is 60,000 and the number of people preferred the regular burgers is 30,000.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer: which one

Step-by-step explanation:

Answer:

The difference is 8.75

Step-by-step explanation:

Plot the points or 7.25+1.5=8.75

Answer:

Problem: if I correctly recall from my days of carving tombstones, the density of granite is not 2.7 kg/cm³, but 2.7 g/cm³

At 2.7 kg/cm³, the weight is 3,664,392 pounds

at 2.7 g/cm³, the true weight is  3664.39 pounds

Step-by-step explanation:

8 ft = 243.84 cm

5.3 inches = 13.46 cm

6 ft 2 in = 187.96 cm

volume = 243.84 cm x 13.46 cm x 187.96 cm = 616,901.01 cm³

616,901.01 cm³ × 2.7 kg/cm³ x 2.2 lb/kg = 3,664,392 pounds

2.7 g/cm³ = 0.0027 kg/cm³

616,901.01 cm³ × 0.0027 kg/cm³ x 2.2 lb/kg = 3664.39 pounds

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

Answer:

$5,708.68

Step-by-step explanation:

A= 2000(1+6/100)¹⁸

Answer: 13.75 ÷ 2.4

13.75/2.4

(Its a fraction).

Step-by-step explanation:

13.75 ÷ 2.4 = 5.72

5.72 x 2.4 = 13.75

5.72 = y

Answer:

3x + 8y = 72

19x + y = 72

Step-by-step explanation:

dubbles = x

mimstoons = y

Standard form:

Ax + By = C

3x + 8y = 72

Answer:

a y=3/2× Pls help me do me one

a

Answer:

bsdqư

Step-by-step explanation: