A construction company can remove 3/4 tons of dirt from a construction site each hour. how long will it take them to remove 36 tons of dirt from the site? (Answer needs to be in simplest form)
Answers
It will take the construction company 48 hours to remove 36 tons of dirt from the site.The construction company can remove \( \frac{3}{4} \) tons of dirt from the site each hour.
To find out how long it will take them to remove 36 tons of dirt, we can set up a proportion
Given:Amount of dirt removed in one hour =
Total amount of dirt to be removed = 36 tons
Let t represent the time in hours it will take to remove 36 tons of dirt. Plugging in the values:
Solving for hours
So, it will take the construction company 48 hours to remove 36 tons of dirt from the site.
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Answer:
48hours
Step-by-step explanation:
36÷(3/4)
36*(4/3)
144/3
48
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How many units away is 1 from -6 on a number line?-7-557
6x-2y=40
(6,-2)
(2,6)
(2,-6)
(-2,-6)
Answers
Answer:
The correct solutions are (6, -2).
Step-by-step explanation:
For the first equation, rearrange to make x the subject.
3x + 4y = 10
Divide the whole equation by 3 to isolate x:
Now substitute this into the second equation:
Subtract 20 from both sides:
20 - 10y = 40
20 - 10y - 20 = 40 - 20
-10y = 20
Divide both sides by 2:
-10y ÷ 10 = 20 ÷ 10
-y = 2 ∴ y = -2
Plug this value back into the first equation:
3x + 4y = 10
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3x + (-8) = 10
3x - 8 = 10
Add 8 to both sides:
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Divide both sides by 3:
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Therefore, the correct solutions are (6, -2).
Hope this helps!
Answers
Answer:
x = 0.973
Step-by-step explanation:
3e^(2x) +5 = 26
3e^(2x) = 21 . . . . . subtract 5
e^(2x) = 7 . . . . . . . divide by 3
2x = ln(7) . . . . . . . .take the natural log
x = ln(7)/2 ≈ 0.973 . . . . divide by 2 and evaluate
Answer:
x= .973
Step-by-step explanation:
3e^2x +5=26
Subtract 5 from each side
3e^2x +5-5=26-5
3e^2x =21
Divide by 3 on each side
3/3e^2x =21/3
e^2x =7
Take the natural log on both sides
ln (e^2x) =ln (7)
2x = ln (7)
Divide by 2
2x/2 = ln(7)/2
x = ln(7)/2
x is approximately .972955075
Rounding to the nearest thousandth
x = .973
identifying the slope and intercept and describe what each mean in the context
Answers
Answer:
hello your answer is 21 y=21
Step-by-step explanation:
3 times -7 is 21- hope i helped
Answers
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
b) sin (2x – 17°) = cos (x – 4°)
c) sin (x)= cos (x)
Show steps
Answers
Step-by-step explanation:
Use shifts to write sine and cosine in terms of each other.
a) sin (x – 5°) = cos (35°)
sin (x – 5°) = sin (90° – 35°)
sin (x – 5°) = sin (55°)
x – 5° = 55°
x = 60°
b) sin (2x – 17°) = cos (x – 4°)
sin (2x – 17°) = sin (90° – (x – 4°))
sin (2x – 17°) = sin (90° – x + 4°)
sin (2x – 17°) = sin (94° – x)
2x – 17° = 94° – x
3x = 111°
x = 37°
c) sin (x) = cos (x)
sin (x) = sin (90° – x)
x = 90° – x
2x = 90°
x = 45°
The factors of m2 + 12m + 35
Answers
Answer:
(m + 7)(m + 5)
Step-by-step explanation:
Factor, find factors of m² & 35 that, when combined, will give 12m:
m² + 12m + 35
m 7
m 5
(m + 7)(m + 5) is your answer.
Check: Use the FOIL method to check.
(m)(m) = m²
(m)(5) = 5m
(7)(m) = 7m
(7)(5) = 35
Combine like terms:
m² + (5m + 7m) + 35 = m² + 12m + 35 √.
Answer:
(m+7) and (m+5)
Step-by-step explanation:
Just had this on a test