What is 3x + 4y = -24 in standard form?

Zepler [3.9K]

Answer: x = 780

Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.

So we know that 10% means 10/100, of means times, what number means x, is means equals, and 12 means 12.

Notice that 10/100 can be reduced to 1/10.

So rewriting our problem we have X/10 = 78.

To get rid of the fraction, we multiply both sides of the equation by 10 and we have x = 780. So, 10% of 780 is 78.

Now let's check our answer back in the original problem to see if it makes sense.

We have 10% of 780 is 78. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.

Image provided showing my work.

5 0

3 years ago

Read 2 more answers

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both ex

Anit [1.1K]

Answer:

Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Step-by-step explanation:

Given

$\frac{1}{2}x + 4$ - Expression 1

$x + 6 - \frac{1}{2}x - 2$ -- - Expression 2

Required

Find the result of both expressions when $x = 2$

Expression 1

$\frac{1}{2}x + 4$

Substitute $x = 2$

$\frac{1}{2} * 2 + 4$

$1 + 4$

$Result = 5$

Expression 2

$x + 6 - \frac{1}{2}x - 2$

Substitute $x = 2$

$2 + 6 - \frac{1}{2} * 2 - 2$

$2 + 6 -1 -2$

$Result = 5$

7 0

3 years ago

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A motorboat travels 168 kilometers in 4 hours going upstream. It travels 280 kilometers going downstream in the same amount of t

Grace [21]

Answer:

The speed of the boat is 56 km/hr

The rate of the current is 14 km/hr

Step-by-step explanation:

We are given the following;

Distance traveled upstream = 168 km
Time taken to travel upstream = 4 hours
Distance traveled down stream = 280 km
Time taken down stream = 4 hours

We are required to determine the speed of the boat in still water and the speed of the current.

We are going to take;

Speed of the boat as = x km/hr

Rate of flow of current = y km/hr

We can determine the speed of the boat upstream;

Speed = Distance ÷ time

= 168 km ÷ 4 hours

= 42 km/hr

But, the speed upstream is given by (x - y) km/hr

Therefore; ( x-y) km/hr = 42 km/hr ......................... Eqn 1

Speed of the boat down stream

speed = 280 km ÷ 4 hours

= 70 km/hr

But, the speed downstream is given by (x+y) km/hr

Therefore, x+y km/hr = 70 km/hr ........................... Eqn 2

Solving Eqn 1 and Eqn 2 simultaneously;

x - y = 42

x + y = 70

Eliminating x

-2y = - 28

y = 14 km/hr

Solving for x,

x = 42 + y

= 42 + 14

= 56 km/hr

Therefore, the speed of the boat is 56 km/hr while the rate of the current is 14 km/hr

8 0

4 years ago

How do I find the orthocenter of the triangle with these coordinates (8,10) (5,-10) (0,0)

WINSTONCH [101]

Find the equation of 2 of the line segment, then find the perpendicular lines to them, then solve for x by making the perpendicular equations equal

7 0

3 years ago

Read 2 more answers

Given the table below find f(g(3))

12345 [234]

Answer:

Steps in provided image.

Step-by-step explanation:

5 0

3 years ago

What is 3x + 4y = -24 in standard form?​

What is 3x + 4y = -24 in standard form?