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krok68 [10]
3 years ago
8

A crew of highway workers paved 14 mile in 16 hour. If they work at the same rate, how much will they pave in one hour?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0
14 miles.....16hours
xmiles.......1hour

14x1=14
14/16=0,88 miles
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A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa
Alex_Xolod [135]

Answer:

1.5 nautical miles

Step-by-step explanation:

See the attached diagram.

The submarine starts to dive at point A and diving along AB.

If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.

Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}

So, using trigonometry we can write  

\cos 28 = \frac{AC}{AB} = \frac{AC}{1.7}

⇒ AC = 1.7 \times \cos 28 = 1.5 nautical miles.

Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)

3 0
3 years ago
Probability of father and mother born in Michigan independent.<br><br>​
raketka [301]

Answer:

  A.  no, not independent

Step-by-step explanation:

Let A = "father born in Michigan" and B = "mother born in Michigan".

If A and B are independent, then ...

  P(A|B) = P(A)

The table tells us ...

  P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397

and

  P(A) = 0.48

Since 0.48 ≠ 0.397, we must conclude that the events are not independent.

6 0
3 years ago
Polygon ABCDEF is the result of a translation of polygon GHIJKL . GL¯¯¯¯¯ is parallel to HI¯¯¯¯¯ in the pre-image. please help
marishachu [46]
Since GL and HI are parallel to each other, then in the translation this condition is going to be kept. So that, we can write in these gaps that AB and FE are parallel to each other. 
8 0
3 years ago
1) 2 (x+3) +3 (5-x)=
Ugo [173]

Answer:

Below

Step-by-step explanation:

1. 2 (x+3) +3 (5-x)=

Simplifying

2(x + 3) + 3(5 + -1x) = 0

Reorder the terms:

2(3 + x) + 3(5 + -1x) = 0

(3 * 2 + x * 2) + 3(5 + -1x) = 0

(6 + 2x) + 3(5 + -1x) = 0

6 + 2x + (5 * 3 + -1x * 3) = 0

6 + 2x + (15 + -3x) = 0

Reorder the terms:

6 + 15 + 2x + -3x = 0

Combine like terms: 6 + 15 = 21

21 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x

21 + -1x = 0

Solving

21 + -1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0

0 + -1x = 0 + -21

-1x = 0 + -21

Combine like terms: 0 + -21 = -21

-1x = -21

Divide each side by '-1'.

x = 21

Simplifying

x = 21

2.  3 (y+2) -4y=-24y

Simplifying

3(y + 2) + -4y = -24y

Reorder the terms:

3(2 + y) + -4y = -24y

(2 * 3 + y * 3) + -4y = -24y

(6 + 3y) + -4y = -24y

Combine like terms: 3y + -4y = -1y

6 + -1y = -24y

Solving

6 + -1y = -24y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '24y' to each side of the equation.

6 + -1y + 24y = -24y + 24y

Combine like terms: -1y + 24y = 23y

6 + 23y = -24y + 24y

Combine like terms: -24y + 24y = 0

6 + 23y = 0

Add '-6' to each side of the equation.

6 + -6 + 23y = 0 + -6

Combine like terms: 6 + -6 = 0

0 + 23y = 0 + -6

23y = 0 + -6

Combine like terms: 0 + -6 = -6

23y = -6

Divide each side by '23'.

y = -0.2608695652

Simplifying

y = -0.2608695652

3.  -(x+2) -2(1-x)=

Simplifying

-1(x + 2) + -2(1 + -1x) = 0

Reorder the terms:

-1(2 + x) + -2(1 + -1x) = 0

(2 * -1 + x * -1) + -2(1 + -1x) = 0

(-2 + -1x) + -2(1 + -1x) = 0

-2 + -1x + (1 * -2 + -1x * -2) = 0

-2 + -1x + (-2 + 2x) = 0

Reorder the terms:

-2 + -2 + -1x + 2x = 0

Combine like terms: -2 + -2 = -4

-4 + -1x + 2x = 0

Combine like terms: -1x + 2x = 1x

-4 + 1x = 0

Solving

-4 + 1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 1x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 1x = 0 + 4

1x = 0 + 4

Combine like terms: 0 + 4 = 4

1x = 4

Divide each side by '1'.

x = 4

Simplifying

x = 4

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6 0
3 years ago
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bixtya [17]

Answer:

x=1

Step-by-step explanation:

4(x+5)= 24

4x+20=24

-20 -20

____________

4x = 4

___ ____

4 4

x= 1

7 0
3 years ago
Read 2 more answers
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