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daser333 [38]
3 years ago
7

The army bus has 12 seats on one side. Two soldiers can sit in each seat. If five seats are reserved for equipment, how many bus

es will they need for 1120 soldiers
Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

<u>80 buses</u> will be required for 1120 soldiers.

Step-by-step explanation:

Given:

Number of seats on One side = 12 seats.

Now Given:

five seats are reserved for equipment.

So we can say that;

Number of seats used by soldiers = 12-5=7\ seats

Number of soldiers on Each seat =2

So we will now find number of soldiers on each bus.

number of soldiers on each bus is equal to Number of seats used by soldiers multiplied by Number of soldiers on Each seat.

framing in equation form we get;

number of soldiers on each bus = 7\times2 = 14\ soldiers

Now we know that;

For 14 soldiers = 1 bus

So 1120 soldiers = Number of buses required for 1120 soldiers.

By Using Unitary method we get;

Number of buses required for 1120 soldiers = \frac{1120}{14} =80

Hence <u>80 buses</u> will be required for 1120 soldiers.

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ABCD is a quadrilateral inscribed in a circle, as shown below:
malfutka [58]

Answer:

Option 4: <u>(2x + 16)° + (x)° = 180°</u>

Step-by-step explanation:

See the attached figure.

For a quadrilateral inscribed in a circle

The opposite angles are supplementary.

So, ∠D + ∠B = 180°

From the figure:

∠B = x°  and ∠D = (2x+16)°

∴  <u>(2x + 16)° + (x)° = 180°</u>

4 0
3 years ago
Find the missing angles
Masteriza [31]

Answer:

b = 34°

Step-by-step explanation:

b + 115° + 31° = 180°

b + 146° = 180

b = 180° - 146°

b = 34°

3 0
3 years ago
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What line is parallel to 2x+5y=6 that goes through (5,3)
Anna11 [10]

Answer:

4y = x - 17

Step-by-step explanation:

First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = \frac{-2x}{5} + \frac{6}{5}  which make the gradient, m, the coefficient of x = \frac{-2}{5}  . Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)

Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where   y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = \frac{1}{4}(x - 5); y - 3 = \frac{x}{4} - \frac{5}{4};  y = \frac{x}{4} - \frac{5}{4} +3

y = \frac{x}{4} - \frac{17}{4};  y = \frac{x-17}{4}  ;   4y = x - 17

7 0
2 years ago
Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5
kaheart [24]

<u>ANSWER: </u>

(-5, 0.5) is the solution of given equation x – 4y = –7, 0.2x + 2y = 0.

<u>SOLUTION: </u>

Given, two equations are x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We have to find whether (-5, 0.5) is a solution of given system or not.

For that, we have to solve the given two equations.  

Before solving let us multiply equation (2) with 2 in order to get y terms cancelled. Such that, our  process becomes easy.  

Now equation (2) becomes

0.4x + 4y = 0 → ( 3 )

Now, add equation (1) and equation (3), we get

1.4x + 0 = -7

x=\frac{-7}{1.4}=-5

Now, substitute x value in (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

So, the solution for given equations is (-5, 0.5).

Hence (-5, 0.5) is the solution of given equations.  

8 0
3 years ago
Read 2 more answers
Please help me out with this, I need to know how to do it and the answer​
labwork [276]

Answer:

your answer is 24 1/3

Step-by-step explanation: First you add 5/6 + 1/2 then you get 1 1/3, Then you add 20 + 3 = 23, Then add the extra 1 to it and you get your total of 24 1/3!

Hope it helped :)

6 0
3 years ago
Read 2 more answers
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