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2 years ago

The after-school program at Longwood Middle School is planting a trapezoidal community garden.

Mathematics

1 answer:

Svetllana [295]2 years ago

6 0

Answer:

Step-by-step explanation:

Here, we are told that the school is trying to plant a garden which is trapezoidal in shape and we want to calculate the area of this said garden.

Mathematically, the area of the garden can be calculated using the formula;

A = 1/2 (a + b)h

here in this question, a is the value on the right hand side which is 75 ft, b is the value on the left hand side which is 85ft while h is the value on the bottom

which is 102 ft

Inserting these values into the equation, we have:

A = 1/2( 75 + 85) * 102

A = 1/2 * 160 * 102

A = 8,160 ft^2

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Number 6 and 7 asap please help

netineya [11]

Hello!

We will write and solve this equation below.

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Add 24 to both sides.

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2 years ago

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Luda [366]

Answer:

The answer is 15 Shirts

Step-by-step explanation:

We want to know what x is going to equal that makes the equation the same.

First, I make the euations equal to each other by substituting the y -->

7x + 50 = 10x + 5

Then, I combine my similar terms --> 45 = 3x

After that, I divide by 3 to get x on its own --> $\frac{45}{3} =\frac{3x}{3}$ --> 15 = x

This means that after 15 Shirts are sold, the costs for both companies are the same.

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3 years ago

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Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?

lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point $(15,0)$ :

$15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0$

So, (15, 0) satisfies all the inequalities

For point $(7.5,7.5)$ :

$7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0$

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

$22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\$

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in $s\geq 15-t$

$7.5\geq 15-0=15$ which is false

So, $(s,t)\neq (7.5,0)$

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2 years ago

Which is equivalent to 49 3/2

Umnica [9.8K]

49^(3/2)
This is the same as (sqrt49)^3
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8 0

3 years ago

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joja [24]

Answer:

-2/3

Step-by-step explanation:

If you do the slope intercept form (y=mx+b) you'll get -2/3

The y-intercept would be at (0,8)

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