A scientist suggests keeping indoor air relatively clean as follows: provide 2 or 3 pots of flowers for every 100 square feet of floor space under a ceiling of 8 ft. If your classroom has an 8 ft ceiling and measures 35 ft by 40 ft, how many pots should it have?

Answers

Answer 1

Answer: First we calculate classroom surface:
35*40=1400 square ft
we know that for every 100 square ft 2 or 3 pots can be put
so 1400/100=14
14*2=28
14*3=42
we need 28 or 42 pots

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Subtract 14 inches from 4 feet, 2 inches.10 inches
3 feet
34 inches
5 feet

Answers

If you would like to subtract 14 inches from 4 feet 2 inches, you can calculate this using the following steps:

1 foot = 12 inches
4 feet 2 inches = 50 inches
4 feet 2 inches - 14 inches = 50 - 14 = 36 inches
36 inches = 3 feet

The correct result would be 3 feet.

3 ft. because 4 ft. converted to inches is 48 in. + 2 in. - 14 in. = 3 ft.

Find the sum of 3x + y , - 4x -2y

Answers

Answer:

(-x-y)

Step-by-step explanation:

Given data

First expression = ( 3x + y)

Second expression = (-4x -2y)

Add the two expresssion

= ( 3x + y)+ (-4x -2y)

Open bracket

=3x+y-4x-2y

collect like terms

=3x-4x+y-2y

=-x-y

Hence the result is (-x-y)

Which value of x makes the following equation true? 3(x - 4) = -2x + 18 A. 7 B. 9 C. 10 D. 6

Answers

3(x - 4) = -2x + 18

Basically, you need to solve for x

3(x - 4) = -2x + 18
3x - 12 = -2x + 18
+2x +2x

5x - 12 = 18
+12 +12

5x = 30
x = 6

Answer: The value that makes this equation true would be 6.

3x-12=-2x+18 (distributive property)
Now add two x to both sides.
5x-12=18
Now add. 12 to both sides.
5x=30
Divide both sides by 5.
x=6

Find the coordinates of the points of intersection of the graphs without building them: 5x–4y=16 and x–2y=6

Answers

we have that
equation 1
5x–4y=16
and
equation 2
x–2y=6

we know that

Part A) the x-intercept is when y=0
equation 1
5x–4y=16
for y=0
5x=16--------> x=16/5---> x=3.2
the point is (3.2,0)

equation 2
x–2y=6
for y=0
x=6
the point is (6,0)

Part B) the y-intercept is when x=0
equation 1
5x–4y=16
for x=0
-4y=16-------> y=-4
the point is (0,-4)

equation 2
x–2y=6
for x=0
-2y=6------> y=-3
the point is (0,-3)

the answer is
the coordinates of the points of intersection are
equation 1
5x–4y=16
(3.2,0) and (0,-4)

equation 2
x–2y=6
(6,0) and (0,-3)

Final answer:

To find the coordinates of the points of intersection of two graphs without building them, solve the given system of equations. The coordinates of the points of intersection of the graphs 5x - 4y = 16 and x - 2y = 6 are approximately (-8.67, -2.33).

Explanation:

To find the coordinates of the points of intersection of the graphs without building them, we can solve the given system of equations: 5x - 4y = 16 and x - 2y = 6.

Step 1: We can solve the second equation for x: x = 6 + 2y.

Step 2: Substitute the value of x from Step 1 into the first equation: 5(6 + 2y) - 4y = 16.

Step 3: Simplify and solve for y: 30 + 10y - 4y = 16. Combine like terms: 6y = -14. Divide by 6: y = -7/3.

Step 4: Substitute the value of y from Step 3 into the second equation to find x: x - 2(-7/3) = 6. Simplify: x + 14/3 = 6. Subtract 14/3 from both sides: x = -26/3.

Therefore, the coordinates of the points of intersection are (-26/3, -7/3) or approximately (-8.67, -2.33).