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inn [45]
3 years ago
13

Cambridge has a job mowing lawns. He mowed 5 lawns last week and earned $82.50. The table shows his earnings for the week. Which

coordinate pair represents the unit rate for this situation?
Mathematics
2 answers:
NeTakaya3 years ago
8 0
For every lawn Cambridge mows he earns 16.50 USD, knowing this we now know the unit rate. The unit rate is (1,16.50).
Orlov [11]3 years ago
4 0
For every time he mowed the lawn eared 16.50$
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Use the T-table below to determine 3 solutions to this equation: y = 2x
Jet001 [13]
The table is attached as a figure

The given equation is ⇒⇒⇒⇒ y = 2x
To solve this equation, we need to pick numbers from the table then this number will be substituted into the equation to find y
we need 3 solutions . so, we need to pick 3 numbers of x
From the table, let us choose x = 0
y = 2x
y = 2 * (0)
y = 0

From the table, let choose second value of x such as x = 1
y = 2 * (1)
y = 2

From the table, let choose third value of x such as x = -1
y = 2 * (-1)
y = -2

So, the picked three solutions are
y = 0  at   x = 0
y = -2  at  x = -1
y = 2 at  x = 1



3 0
4 years ago
The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

8 0
3 years ago
A restaurant has fixed costs of $147.50 per day and an average unit cost of $5.75 for each meal served. If a typical meal costs
Nikolay [14]

Answer:

The answer is 118.

Step-by-step explanation:

First we need to subtract the meal cost from average unit cost for each meal:

7-5.75=1.25

A restaurant profits 1.25$ for each meal. If we divide fixed cost to profit for each meal:

147.5/1.25=118

The restaurant have to sell 118 meals at least each day for the owner to break even

5 0
4 years ago
Please help me asap.
Makovka662 [10]

The first one is the answer you're looking for

6 0
3 years ago
A line has a slope of 11 and passes through the point (2,4). ​ PLSS HELPP I NEED IT
Ivenika [448]

Answer:

y = 11x - 18

Step-by-step explanation:

Use the equation y = mx + b

m (the slope) = 11

x (the x-coordinate) = 2

y (the y-coordinate) = 4

Plug it in for our original equation:

4 = 11*2 + b

4 = 22 + b

4 - 22 = b

b = -18

Therefore, the answer is y = 11x - 18. The tricks to these problems are usually in the same format, when you are given the slope and a point it passes through, just plug in the slope and the x and y, and solve for b. Hope this helps!

7 0
3 years ago
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