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Zielflug [23.3K]
2 years ago
7

The area of a rectangular patio is 9 5/8 square meters. The width of the patio is 2 3/4 meters. What is the length? Enter your a

nswer as a mixed number in simplest form.
The length of the patio is ___ meters.
Mathematics
2 answers:
Oduvanchick [21]2 years ago
5 0

Answer:

3 1/2 meters

Step-by-step explanation:

A = LW

9 5/8 = L x 2 3/4

L = 9 5/8 / 2 3/4 = 77/8 / 11/4 = 77 x 4 / 8 x 11 = 7/2 = 3 1/2

Varvara68 [4.7K]2 years ago
5 0
31/2 if you need extra help look up komon
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Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac
Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

20x+50y\leq 400

Larry must purchase at least nine items.

x+y\geq 9

Check both inequalities of all given ordered pairs.

For (5,6),

20(5)+50(6)\leq 400\Rightarrow 400\leq 400

5+6\geq 9\Rightarrow 16\geq 9

Point (5,6) satisfy both inequalities.

For (10,4),

20(10)+50(4)\leq 400\Rightarrow 400\leq 400

10+4\geq 9\Rightarrow 14\geq 9

Point (10,4) satisfy both inequalities.

For (20,0),

20(20)+50(0)\leq 400\Rightarrow 400\leq 400

20+0\geq 9\Rightarrow 20\geq 9

Point (20,0) satisfy both inequalities.

For (15,2),

20(15)+50(2)\leq 400\Rightarrow 400\leq 400

15+2\geq 9\Rightarrow 17\geq 9

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0
3 years ago
Which of these equations is for a line perpendicular to y-3=5(x-2)?
olasank [31]

Answer:

C

Step-by-step explanation:

y-3=5(x-2)  (rearrange this to be in slope- intercept from) (add 3 to both sides)

y = 5(x-2) + 3   (distribute parentheses)

y = x(5) - 2(5) + 3

y = 5x -10 + 3

y = 5x - 7

recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)

hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5

From the choices, the only one that is consistent with this is C

i.e choice C:

5y + x = 25

5y = -x + 25

y = -(1/5) x + 5   ===> gradient of -1/5

6 0
2 years ago
Simplify the expression- 3 - 5/6 / 5/2
spin [16.1K]

Answer:

10/3

Step-by-step explanation:

-3-5/6/5/2=-10/3

decimal 0.33333 reaccuring

6 0
2 years ago
One sixth of a jar of sweets contains 11 sweets. How many sweets does the jar contain when its full?
vivado [14]

Answer:

66 sweets

Step-by-step explanation:

all you need to do is multiply 11 by 6 to get your answer seeing that ⅙ of the jar is 11

5 0
2 years ago
4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and
Elden [556K]

Answer:

  • Any of x = {-3, 5, -1, 0}

Step-by-step explanation:

Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.

  • x = -3, 5, -1, 0

This will result in repeat of x-values with different corresponding y-values.

4 0
2 years ago
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