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Charra [1.4K]
3 years ago
13

What is y= 1/3x+2 equal to as a slope?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

                    Value of Car

A graph titled Value of Car has years  bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

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Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 80 miles per
VashaNatasha [74]

Answer:

2.8 hours

Step-by-step explanation:

Distance = rate * time

If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.  

If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.

The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:

80t + 90t = 476 and

170t = 476 so

t = 2.8 hours

7 0
3 years ago
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to p
monitta

Answer:

25 degrees

Step-by-step explanation:

3 0
3 years ago
Maya runs a farm stand that sells raspberries and blueberries. Each pound of raspberries sells for $1 and each pound of blueberr
aniked [119]

30 pounds of raspberries and 50 pounds of blueberries are sold

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

Let "a" be the pounds of raspberries sold

Let "b" be the pounds of blueberries sold

Cost per pound of raspberry = $ 1

Cost per pound of blue berry = $ 3.25

<em><u>Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries</u></em>

Therefore,

a + b = 80

a = 80 - b ------- eqn 1

<em><u>Maya made $192.50. Therefore, frame a equation as:</u></em>

pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50

a \times 1 + b \times 3.25 = 192.50

a + 3.25b = 192.50 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

80 - b + 3.25b = 192.50

2.25b = 192.50 - 80

2.25b = 112.5

Divide both sides by 2.25

b = 50

<em><u>Substitute b = 50 in eqn 1</u></em>

a = 80 - 50

a = 30

Thus 30 pounds of raspberries and 50 pounds of blueberries are sold

3 0
3 years ago
In how many years will the interest on £100 at 6% amount to £12?
lesya [120]
Given:
Principal = <span>£100
Interest rate = 6%
Interest = </span><span>£12

Simple Interest is computed by multiplying the principal by its interest rate and term

Interest = Principal * rate * term
12 = 100 * 0.06 * term
12 = 6 * term
12/6 = term
2 = term

It will take 2 years for </span>£100 to earn <span>£12 at 6%</span>
3 0
3 years ago
Read 2 more answers
What is the equation of the line that goes through (-5,0) and (-4,4)
Tasya [4]

Answer:

y=4x+20

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

y=mx+b

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}

Simplify parentheses (two negatives make a positive) and simplify:

\frac{4-0}{-4+5}\\\\\frac{4}{1}=4

The slope, m, is 4. Insert this information into the equation:

y=4x+b

Now, take one of the points and insert into the slope-intercept formula:

(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b

Solve for b, the y-intercept. Simplify multiplication:

0=-20+b

Add 20 to both sides and simplify:

0+20=-20+20+b\\20=b\\b=20

The y-intercept, b, is 20. Insert this value into the equation:

y=4x+20

Done.

7 0
3 years ago
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