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2 years ago

5

keith and michelle went out to dinner. the total cost of the meal including the tip came $53.70. if the combined tip came out to

$9.60 a and each friend spent an equal amount much did each friend pay not including the tip

1 answer:

mrs_skeptik [129]2 years ago

8 0

The answer is 22 dollars and 5 cents because you subtract the 9.60 from the 53.70 and then divide into 2.

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Use the pythagorean theorem to find the missing side. Round your answer to the nearest tenth

Monica [59]

Answer:

x=14.02

Step-by-step explanation:

Use b= $\sqrt{c^2-a^2}$ to solve for the missing side in the triangle. You will get a rounded answer of 8.49. Then you multiply that by 2 and subtract that value from 31. Then that will be your answer.

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2 years ago

Solve the system by elimination <br> 2x+6y= -12 <br> 5x-5y= -10

kvv77 [185]

First thing you should do is reduce coefficients.

1st equation has all multiples of '2'. Divide by 2
---> x +3y = -6

2nd equation has multiples of 5. Divide by 5.
---> x - y = 2

Now elimination part is easier.
Eliminate 'x' variable by subtracting 2nd equation from 1st.

x + 3y = -6
-(x - y = 2)
----------------------
4y = -8

Solve for 'y'
4y = -8

y = (-8)/4 = -2

Substitute value for 'y' back into 2nd equation:
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Solution to system is:
x=0, y =-2

5 0

3 years ago

Read 2 more answers

A maritime flag is shown. What is the area of the shaded part of the flag? Explain

Rom4ik [11]

Answer:

<em></em> $Area = 72in^2$ <em></em>

<em></em>

Step-by-step explanation:

<em>Your question is incomplete without an attachment (See attachment)</em>

Required

Determine the area of the shaded part

From the attachment;

<em>Assume that the shaded portion is closed to the right;</em>

<em>Calculate the Area:</em>

<em></em> $Area_1 = Length * Width$ <em></em>

<em></em> $Area_2 = 8in * (6in + 6in)$ <em></em>

<em></em> $Area_2 = 8in * 12in$ <em></em>

<em></em> $Area_1 = 96in^2$ <em></em>

<em></em>

<em>Next;</em>

<em>Calculate the Area of the imaginary triangle (on the right)</em>

<em></em> $Area_2 = \frac{1}{2} * base * height$ <em></em>

<em></em> $Area_2 = \frac{1}{2} * (6in + 6in) * 4in$ <em></em>

<em></em> $Area_2 = \frac{1}{2} * 12in * 4in$ <em></em>

<em></em> $Area_2 = \frac{1}{2} * 48in^2$ <em></em>

<em></em> $Area_2 = 24in^2$ <em></em>

<em></em>

<em>Lastly, calculate the Area of the Shaded Part</em>

<em></em> $Area = Area_1 - Area_2$ <em></em>

<em></em> $Area = 96in^2 - 24in^2$ <em></em>

<em></em> $Area = 72in^2$ <em></em>

<em></em>

<em>Hence,</em>

<em>The area of the shaded part is 72in²</em>

3 0

2 years ago

Determine the line described by the given point and slope (0,0) and 2/3

AlekseyPX

Answer:

The line is $y=\frac{2}{3} x$ .

Step-by-step explanation:

Given:

Point and slope (0,0) and 2/3.

Now, to determine the line.

Here the point is:

$(x_{1},y_{1}) =(0,0)$

And the slope is:

$m=\frac{2}{3}$

Now, putting the formula and substituting the value from above to determine the line:

$y-y_{1} = m(x-x_{1})$

$y-0=\frac{2}{3}(x-0)$

$y=\frac{2}{3} x$

Therefore, the line is $y=\frac{2}{3} x$ .

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3 years ago

Determine the direction that this parabola opens y=4x^2+8x+2

just olya [345]

For this case we have a quadratic equation of the form:
$ax ^ 2 + bx + c
$
What we must keep in mind to know which direction opens the parabola, is the value of a.
We have two options:
If a <0 the parabola opens down
If a> 0 the parabola opens up
We have the following equation:
$y = 4x ^ 2 + 8x + 2
$
We observed that:
$a = 4 (a\ \textgreater \ 0)
$
Therefore, the parable opens up.
Answer:
the direction that this parabola opens is:
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3 years ago