Can someone help me? Solve for x.

Write one word problem involving simultaneous linear equations.

amm1812

Answer:

Andre has more money than Bob. If Andre gave Bob $20, they would have the same amount. While if Bob gave Andre $22, Andre would then have twice as much as Bob. How much does each one actually have?

Step-by-step explanation:

Here is the first sentence:

"If Andre gave Bob $20, they would have the same amount."

Algebraically:

1) x − 20 = y + 20.

(Andre -- x -- has the same amount as Bob, after he gives him $20.)

Here is the second sentence:

"While if Bob gave Andre $22, Andre would then have twice as much

as Bob."

Algebraically:

2) x + 22 = 2(y − 22).

(Andre has twice as much as Bob -- after Bob gives him $22.)

To solve any system of two equations, we must reduce it to one equation in one of the unknowns. In this example, we can solve equation 1) for x --

x − 20 = y + 20

implies x = y + 40

-- and substitute it into equation 2):

y + 40 + 22 = 2(y − 22).

That is,

y + 62 = 2y − 44,

y − 2y = − 44 − 62,

according to the techniques of Lesson 9,

−y = −106

y = 106.

Bob has $106. Therefore, according to the exression for x, Andre has

106 + 40 = $146.

I hope this helps u! :D

7 0

3 years ago

Log(x) + log(x+2) = log 3

statuscvo [17]

Answer:

x=1 and -3

Step-by-step explanation:

log(x)+log(x+2)=log(3)

log(x(x+2))=log(3)

x(x+2)=3, simple quadratic. x=-3 and 1. Answered by Gauthmath

3 0

3 years ago

N is an integer with -5 < 2n <6 write down all the values of n?

Alika [10]

Answer:

The values of n are less than 3 and more than (-5/2)

Step-by-step explanation:

The given inequality is :

-5 < 2n <6

We need to write the values of n.

Dividing both sides of the inequality by 2. So,

$\dfrac{ -5}{2} < \dfrac{2n}{2}$

So, the values of n are less than 3 and more than (-5/2).

7 0

3 years ago

By how many degrees did the direction of the boat change

gulaghasi [49]

Answer:

The boat turned 39° degrees when it made its first turn.

Step-by-step explanation:

The question is as following:

A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.

By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.

===================================================

See the attached figure which represent explanation of the problem.

The boat start from point A to point B then stopped at point C

AB = 28 miles, BC = 25 miles and AC = 18 miles.

It is required to find the angle x

By applying the cosine Rule:

AC² = AB² + BC² - 2 * AB * BC * cos x

18² = 28² + 25² - 2 * 28 * 25 * cos x

2 * 28 * 25 * cos x = 28² + 25² - 18²

1400 cos x = 1085

Cos x = 1085/1400 = 0.775

x = Cos⁻¹ 0.775 = 39.2° = 39° to the nearest degree.

So, the boat turned 39° degrees when it made its first turn.

8 0

3 years ago

Elijah played in a golf tournament. For the first three days he averaged a score of -2. On the fourth day he shot a +2. What was

pogonyaev

-2, -2, -2, +2

-2 + -2 + -2 + 2
-2 -2 -2 + 2
-6 + 2
-4
-4/ 4 = -1

His average is -1

4 0

3 years ago

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