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3 years ago

A and B are two cities,

Mathematics

1 answer:

lubasha [3.4K]3 years ago

6 0

Answer:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

Step-by-step explanation:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

The reason for approximation is from distortion of image.

See attached image to understand how the measurement has been obtained.

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at the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. three cheeseburgers and two

qwelly [4]

Answer:

There are 230 calories in each cheeseburger and 290 calories in each small fries.

Step-by-step explanation:

Let us assume:

The calories in each cheeseburger = x

The calories in each small fries = y

So, the calories in 4 cheeseburger

=4 (calories in 1 cheeseburger ) = 4 x

and the calories in 5 small fries = 5(calories in 1 small fries ) =5 y

⇒ 4 x + 5 y = 2310

Similarly, calories in 3 cheeseburger

= 3 ( calories in 1 cheeseburger ) = 3 x

and the calories in 2 small fries = 2 (calories in 1 small fries )= 2 y

⇒ 3 x + 2 y = 1330

Solving the given system of equation:

4 x + 5 y = 2310 ............(1)

3 x + 2 y = 1330 ............. (2)

Multiply equation (1) with (-3) , and (2) by 4 and add both equation.

-12 x - 15 y + 12 x + 8 y = -6930 + 5320

or, - 7 y = -1610

⇒ y = 1610 / 7 = 230 , or y = 230

Putting this in (2) , we get 3 x + 2 y = 1330

⇒ 3 x + 2(230) = 1330 or, 3 x = 1330 - 460 = 870

or, x = 870/3 = 290

⇒ x = 290

Hence, there are 230 calories in each cheeseburger.

There are 290 calories in each small fries.

3 0

3 years ago

At a store, carpet is sold in units of 10 square yards.

Sliva [168]

We can generalise this by finding the equation of the line.
The gradient is: 15

We can take when x = 10, and y = 150 to find the equation of the line.
y - 150 = 15(x - 10)
y - 150 = 15x - 150
y = 15x

Thus, when x = 80, y = $1200 (ie B)

6 0

3 years ago

Simplify 25^ - 1/2 <br><br>Please explain! I know the answer is 1/5 but why?

lisov135 [29]

$(25)^{-\frac{1}{2} }$

When the exponent is negative, you have to make the number a fraction(1 over the number).

For example:

$25^{-2} = \frac{1}{25^{2} }$

$x^{-1} =\frac{1}{x^{1} }$

This gets rid of the negative, but it leaves the exponent

$(25)^{-\frac{1}{2}} = \frac{1}{25^{1/2}}$

When an exponent is a fraction, it is the square root.

For example:

$x^{\frac{1}{3}} = \sqrt[3]{x}$

$x^{\frac{1}{2}} =\sqrt{x}$

$x^{\frac{1}{4}}=\sqrt[4]{x}$

So...

$\frac{1}{25^{1/2}} = \frac{1}{\sqrt{25} } = \frac{1}{5}$

3 0

4 years ago

3(x + 4) – 4= 2(x + 4) + x

Salsk061 [2.6K]

Answer:

No solution

Step-by-step explanation:

3x+12-4=2x+8+x

3x+8=2x+8+x

3x+8=3x+8

sub tract 3x on both sides and poof

we get 8 =8

High Hopes^^

Barry-

8 0

3 years ago

Read 2 more answers

Each group of students receives a bag that has 9 red cubes, 5 green cubes, and 11 blue cubes. If each group makes 1000 pulls and

kolbaska11 [484]

Answer:

440 times

Step-by-step explanation:

First you need to find the total number of cubes each student recieves (25)

Now you put it into a ratio 11 : 25

After that make another ratio with 1000 and solve for x

x : 1000

25x = 11000

x = 440

7 0

4 years ago

Read 2 more answers