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4 years ago

Could someone please help me?? I am really stuck! I appreciate it! Thank you so much! God Bless!

Mathematics

1 answer:

IgorLugansk [536]4 years ago

4 0

$LINEAR \: \: EQUATIONS \: \: IN \: \: ONE \: \\ VARIABLE \\ \\ \\\\Given \: \: expression \: \: - \\ \\ 5 - \frac{x}{4} = \frac{3(x + 1)}{9} \\ \\ 5 - \frac{x}{4} = \frac{(x + 1)}{3} \\ \\ 5 - \frac{x}{4} = \frac{x}{3} + \frac{1}{3} \\ \\ 5 - \frac{1}{3} = \frac{x}{3} + \frac{x}{4} \\ \\ \frac{14}{3} = \frac{4x + 3x}{12} \\ \\ \frac{14}{3} = \frac{7x}{12} \\ \\ x = \frac{14}{3} \times \frac{12}{7} \\ \\ || \: \: x = 8 \: \: || \: \: \: \: \: \: \: \: Ans.$

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Plz help asap geometry!!

strojnjashka [21]

Answer:

2688

Step-by-step explanation:

To determine the number of different meals he could order, multiply the numbers of choices together

4 appetizers *4 meats* 6 vegetables * 4 desserts* 7 drinks =2688

There are 2688 different meals

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4 years ago

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Find the value of x. Round to the nearest tenth (one decimal place) 19 21

djverab [1.8K]

Using the Pythagorean theorem:

X = sqrt(21^2 - 19^2)

X = sqrt(441 - 361)

X = sqrt(80)

X = 8.944

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Mona had some colored papers. The teacher gave her 12 more papers. she counted all the

timama [110]

Answer:

Step-by-step explanation:

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3 years ago

Graph the equations

timurjin [86]

Answer:

We conclude that, at 4 minutes, both will have the same height which is 200 feet.

Step-by-step explanation:

Given the system of equations

$y=400+50x$

$y=300+25x$

Important Tip:

The point of intersection of the two lines would give us the point at which both have the same height.

Graphing the system of equations

The graph of the equation y = 400 + 50x

First, determine the y-intercept of the equation y = 400 + 50x by substituting x = 0

$y = 400 + 50x$

$y = 400 + 50(0)$

$y = 400 + 0$

$y = 400$

Thus, we determine that the ordered pair (0, 400) represents the y-intercept of the equation y = 400 + 50x.

Next, determine the x-intercept of the graph of the equation y = 400 + 50x by substituting y = 0

$y = 400 + 50x$

$0=400+50x$

switch sides

$400+50x=0$

Subtract 400 from both sides

$400+50x-400=0-400$

Simplify

$50x=-400$

Divide both sides by 50

$\frac{50x}{50}=\frac{-400}{50}$

Simplify

$x=-8$

Thus, we determine that the ordered pair (-8, 0) represents the x-intercept of the equation y = 400 + 50x.

Important Tip:

The point at which the graph crosses the y-axis is called the y-intercept.

The point at which the graph crosses the x-axis is called the x-intercept.

The red graph on the diagram represents the equation y = 400 + 50x having the y-intercept (0, 400) and x-intercept (-8, 0)

Please check the attached diagram.

The graph of the equation y = 300 + 25x

Now, determine the y-intercept of the equation y = 300 + 25x by substituting x = 0

$y = 300 + 25x$

$y = 300 + 25(0)$

$y = 300 + 0$

$y = 300$

Thus, we determine that the ordered pair (0, 300) represents the y-intercept of the equation y = 300 + 25x.

Next, determine the x-intercept of the graph of the equation y = 300 + 25x by substituting y = 0

$y=300+25x$

$0 = 300 + 25x$

switch sides

$300+25x=0$

Subtract 300 from both sides

$300+25x-300=0-300$

Simplify

$25x=-300$

Divide both sides by 25

$\frac{25x}{25}=\frac{-300}{25}$

Simplify

$x=-12$

Thus, we determine that the ordered pair (-12, 0) represents the x-intercept of the equation y = 300 + 25x.

The blue graph on the diagram represents the equation y = 300 + 25x having the y-intercept (0, 300) and x-intercept (-12, 0)

Please check the attached diagram.

Analyze the POINT OF INTERSECTION:

As we already know that the point of intersection of the two lines would give us the point at which both have the same height.

The diagram indicates that:

at x = -4, the value of y = 200.

It is the point where both lines meet.

Thus, the point of intersection of the two lines is:

(x, y) = (-4, 200)

Conclusion:

As x represents the time in minutes and y represents the height in feet.

Thus, we conclude that at x = 4 minutes, both will have the same height i.e. y = 200 feet

Therefore, we conclude that, at 4 minutes, both will have the same height which is 200 feet.

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3 years ago

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That correct answer is 0.0625

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