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SVEN [57.7K]
2 years ago
5

Ryan planted flowers in a rectangular garden.The width of the garden is (x-3) feet and the length of the garden is 1 foot longer

than the width. Write an expression for the area of the garden
Mathematics
1 answer:
pantera1 [17]2 years ago
5 0

Answer:

The expression representing Area of garden isx^2-5x+6.

Step-by-step explanation:

Given:

Width of garden = x-3\ ft

the length of the garden is 1 foot longer than the width

Hence length of garden = x-3+1=x-2\ ft

We need to find the expression for area of garden.

Area of rectangular garden can be calculated as length times width.

Framing in equation form we get;

Area of Garden = (x-3)(x-2)

Solving the equation we get;

Area of Garden =x^2-2x-3x+6 = x^2-5x+6

Hence The expression representing Area of garden isx^2-5x+6.

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
aliya0001 [1]

Answer:

q = -6p + 104

Step-by-step explanation:

Linear function:

A linear function has the following format:

q = mp + b

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: m = \frac{-36}{6} = -6

So

q = -6p + b

Finding b:

We replace one of the points. Replacing (4,80).

q = -6p + b

80 = -6*4 + b

b = 104

So

q = -6p + 104

7 0
2 years ago
What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
Ugo [173]
I believe the correct answers are:

<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Or, in other words, Options A and D.
</span>
6 0
2 years ago
Read 2 more answers
Share 747 pounds in the ratio 2:7 between tom and ben
svlad2 [7]
2x+7x=747
9x=747
x=83

83(2) = 166
83(7) = 581
6 0
2 years ago
Read 2 more answers
For Problems 21 and 22, use Figure 4.5a.
Leno4ka [110]

Answer:

omg college math is so hard omg i feel baddddddd

Step-by-step explanation:

5 0
2 years ago
Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

-------------------------

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

-----------------------

Hope that helps! :D



5 0
2 years ago
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