Help me please !

The hourly rate is $80. They used the limousine for 3 hours, plus Dave gave the driver a 20% tip. How much did he spend in total

topjm [15]

$288 Okay so for a 240 plus a 20 percent is should be 288 dollars. Correctme if im wrong

4 0

3 years ago

Read 2 more answers

Write an equation in slope intercept form to model the situation.

lozanna [386]

Answer:

$y=-\frac{1}{2}x + 10$

Step-by-step explanation:

Slope intercept form is a way of modeling a quadratic equation, where the coefficient of the term ( $x$ ) is the slope (change) of the line, and the constant is the y-intercept. In essence;( $y=mx+b$ ), where ( $m$ ) is the slope and ( $b$ ) is the y-intercept.

The slope of the given line is ( $-\frac{1}{2}$ ) because, this is the rate at which the candle burns, therefore, it is the change in the line. The change is ( $\frac{1}{2}$ ) because this is the rate of burning, the slope is also negative since the height is decreasing. ( $10$ ) is the y-intercept because it is the starting height of the candle. One will take the time since the start of burning the candle, multiply it by the slope, and add it to the y-intercept to find the current height of the candle. Therefore, the equation is ( $y=-\frac{1}{2}x + 10$ ), where the output ( $y$ ) is the current height of the candle, and the input ( $x$ ) is the time at which the measruement was taken.

5 0

3 years ago

Find the exact value

ivann1987 [24]

Answer:

A

Step-by-step explanation:

$cos~ \theta=\sqrt{1-sin^2 \theta} =\sqrt{1-(\frac{1}{2})^2 } =\frac{\sqrt{3} }{2} \\1+cos~\theta=2cos^2\frac{\theta}{2} \\1+\frac{\sqrt{3}}{2} =2~cos^2 \frac{\theta}{2} \\cos^2\frac{\theta}{2} =\frac{2+\sqrt{3}}{2 \times 2} \\cos \frac{\theta}{2} =\frac{\sqrt{2+\sqrt{3}}}{2} \\1-cos \theta=2 ~sin^2\frac{\theta}{2} \\1-\frac{\sqrt{3}}{2}=2~sin^2 \frac{\theta}{2} \\sin^2 \frac{\theta}{2} =\frac{2-\sqrt{3} }{2 \times 2} \\sin \frac{\theta}{2}=\frac{\sqrt{2-\sqrt{3} } }{2}$

as 0≤θ≤90

so θ/2 is also in 0≤θ≤90

hence sin θ/2 and cos θ/2 are positive.

3 0

3 years ago

Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher ma

alexira [117]

Answer:

The given equation has infinite number of solutions. This means that any real number can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

Explanation:

To solve for x, we need to isolate the x on one side of the equation.

This can be done as follows:

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

Let's verify this using the given replacement set {2,3,4,5}:

For x = 2:

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

For x = 3:

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

For x = 4:

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

For x = 5:

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)

5 0

3 years ago

3y+3=39 urgenttt pleaseee fasttt helppp

valentinak56 [21]

3y+3=39

3y=39-3

3y=36

y=12

7 0

2 years ago