All categories

4 years ago

Estimate a 15% tip on a dinner bill of 71.85

Mathematics

1 answer:

Step2247 [10]4 years ago

4 0

15% = 0.15
15% of 71.85 is equal 0.15*71.85 ≈ 10.78

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7B2%7D%20%20%3C%20%20-%203" id="TexFormula1" title=" \frac{y}{2} < - 3"

Allisa [31]

Hey!

Okay, to solve this problem, we'd first have to multiply both sides by two. The reason we do this is to get $y$ on its own.

Original Equation : 
$\frac{y}{2}$ < $-3$

New Equation {Changed by Multiplying 2 on Both Sides} :
$\frac{2y}{2}$ < $2$ ( $-3$ )

And we simplify the equation to get our answer.

Old Equation :
$\frac{2y}{2}$ < $2$ ( $-3$ )

New Equation {Changed by Simplification} :
y < -6

So, the equation $\frac{y}{2}$ < -3 simplified is y < -6.

Hope this helps!

- Lindsey Frazier ♥

8 0

3 years ago

Find out if the 3 positions are on the same line or not (3,2,0) (1, -1,2) (5,5, 2)

sattari [20]

Answer:

The three positions are not on the same line.

Step-by-step explanation:

We have three points: A:(3,2,0), B:(1,-1,2) and C:(5,5,2).

Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:

$A-B=(3,2,0)-(1,-1,2)=(2,3,-2)$

The equation of a line is:

$p=p_0+rt$

Where p is every singular point of the line, $p_0$ is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.

Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:

$p=p_0+(2,3,-2)t$

Because there is a value for t that satisfies both A and B: If we do $p_0=(3,2,0)$ and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:

$p=(3,2,0)+(2,3,-2)*0=(3,2,0)\\p=A\\p=(3,2,0)+(2,3,-2)*-1=(1,-1,2)\\p=B\\$

If C is also in the same line, C must accomplish the equation: $p=(3,2,0)+(2,3,-2)t$ , so:

$C=(5,5,2)=(3,2,0)+(2,3,-2)t$

Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:

$5=3+2t\\5=2-3t\\2=-2t\\$

You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.

8 0

3 years ago

If the circumference of a circle is doubled, how does the diameter of the circle change?

jeyben [28]

diameter will be doubled

6 0

3 years ago

Square root of -49 in terms of i

natita [175]

Answer:

Step-by-step explanation:

We know that i = √-1

Then solving the given:

√-49 = √49×(-1) = √49 × √-1 = 7×√-1 = 7i

So the answer is:

√-49 = 7i

3 0

4 years ago

Write mixed number for p so that 3 1/4 × p is more than 3 1/4

Sholpan [36]

Answer:

1 3/5

Step-by-step explanation:

Anything larger than 1 multiplied by 3 1/4 would result in a number more than 3 1/4.

8 0

3 years ago