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nata0808 [166]
3 years ago
6

Which ordered pairs are solutions to the inequality y−2x≤−3y−2x≤−3?

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0
Y - 2x ≤ -3y - 2x ≤ -3

y - 2x ≤ -3y - 2x
y + 3y - 2x + 2x ≤ 0
4y ≤ 0
y ≤ 0

-3y - 2x ≤ -3
-3(0) - 2x ≤ -3
-2x ≤ -3
x ≥ 3/2

One of the solutions to the inequality is (3/2, 0)
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maks197457 [2]

Answer:

The answer is C. $105.

Step-by-step explanation:

Since there are 6 adults and each ticket is $17.50.

So what you do is multiply 6*17.50

5 0
3 years ago
What is the area of this
Zina [86]
The figure has already been split into 3 shapes, a rectangle, a trapezium, and a triangle. I will show you how to get the area of each, so we can add it together at the end.

Rectangle:
The rectangle is fairly simple, just multiply 9 and 16 together to get 144 in².

Triangle:
Again, the triangle is pretty simple. The area of a triangle is (base × height)/2, so you do (31 × 20)/2 = 620/2 = 310 in².

Trapezium:
To find the area of a trapezium, you first add the two widths, which are 16 and 31, and then you divide it by 2. You then multiply that value by the height. 16 + 31 = 47, and 47 ÷ 2 = 23.5.
The height would be 35 (the total length of the shape) - 20 (the height of the triangle) which is 15, so 23.5 × 15 = 352.5 in².

Now we add them up, so 144 + 310 + 352.5 = 806.5 in², which is your final answer.

I hope this helps!
8 0
3 years ago
A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that
lidiya [134]

Step-by-step explanation:

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

also

Number of exports  = 2(number of month) + 1

so

Therefore, the number of imports equals the number of months plus one. i.e., which is a linear function.

If we compare it with the slope-intercept form of the line

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e.  

Here,

slope = m = 2

y-intercept = -1

6 0
3 years ago
In a right triangle, the side opposite a 33 degree angle is 17 units. What is the length of the side adjacent to that angle to t
AnnyKZ [126]

Answer:

The length of the side adjacent to that angle  is 26 units

Step-by-step explanation:

We are given

In a right triangle, the side opposite a 33 degree angle is 17 units

Firstly, we will draw diagram

we can use trig

cot(33)=\frac{x}{17}

now, we can solve for x

x=17\times cot(33)

x=26.177

So,

The length of the side adjacent to that angle  is 26 units

6 0
3 years ago
(Score for Question 2: ___ of 10 points)
Vedmedyk [2.9K]

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

A=\dfrac{(a+b)h}{2}

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

#SPJ1

4 0
2 years ago
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