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3 years ago

How much is a 15% tip if the meal was $32?

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

0.15(32) = 4.80 <=====

icang [17]3 years ago

6 0

It would be: 32 * 15%
= 32 * 0.15 = 4.8

In short, Your Answer would be Option A) $4.80

Hope this helps!

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Complete the following exercises by applying polynomial identities to complex numbers.

erik [133]

1.)

=(x-8i)(x+8i)

x^2+8ix-8ix-64i^2

x^2-64i^2

x^2-64(-1)

x^2+64

2.)

=(4x-7i)(4x+7i)

16x^2+28ix-28ix-49i^2

16x^2-49i^2

16x^2-49(-1)

16x^2+49

3.)

=(x+9i)(x+9i)

x^2+9ix+9ix+81i^2

x^2+18ix+81(-1)

x^2+18ix-81

4.)

=(x-2i)(x-2i)

x^2-2ix-2ix+4i^2

x^2-4ix+4(-1)

x^2-4ix-4

5.)

=[x+(3+5i)]^2

(x+5i+3)^2

(x+5i+3)(x+5i+3)

x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9

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x^2+6x+10ix+30i-25+9

x^2+6x+10ix+30i-16

Hope this helps :)

6 0

3 years ago

Helppp this is my math test <br><br> Which model is 85% shaded?

Anettt [7]

Answer:

Model 1 represents 85% shaded area.

Step-by-step explanation:

Here, each model consists of equal sized rectangles.

Please refer to attached figure to know the model number.

Model 2 (on top right of question figure) contains a total of 20 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{\text{Number of shaded rectangles}}{\text{Total number of rectangles}} \times 100\\\Rightarrow \dfrac{13}{20}\times 100 = 65\%$

Model 3 (on bottom left of question figure) contains a total of 16 such rectangles out of which 10 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{10}{16}\times 100 = 62.5\%$

Model 4 (on bottom right of question figure) contains a total of 16 such rectangles out of which 13 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{13}{16}\times 100 = 81.25\%$

Model 1 (on top left of question figure) contains a total of 20 such rectangles out of which 17 are shaded. As per formula of percentage:

$\text{Percentage of shaded area} = \dfrac{17}{20}\times 100 = 85\%$

Hence, model 1 is the correct answer.

3 0

3 years ago

A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic

jekas [21]

Answer:

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

$\displaystyle V'=\frac{dV}{dr}$

The volume of a sphere of radius r is

$\displaystyle V=\frac{4}{3}\pi r^3$

The volume of the balloon is growing at a rate of $9\ cm^3/sec$ . This can be written as

$\displaystyle \frac{dV}{dt}=9$

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

$\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

solving for $\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2}$

We need to find the value of r, which can be obtained by using the condition that in that exact time

$\displaystyle V=\frac{2048}{3}\pi\ cm^3$

$\displaystyle \frac{2048}{3}\pi=\frac{4}{3}\pi r^3$

Simplifying and isolating r

$\displaystyle r^3=512$

$\displaystyle r=\sqrt[3]{512}=8\ cm$

Replacing in the rate of change

$\displaystyle \frac{dr}{dt}=\frac{9}{4\pi 8^2}$

$\displaystyle \frac{dr}{dt}=\frac{9}{256\pi }$

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

8 0

3 years ago

Estimate how to find 15% tip on $9.79 explain your thoughts

uranmaximum [27]

(15/100) then multiply that with 9.79 and you get $1.4685, which is the answer

5 0

3 years ago

Read 2 more answers

The Peterson's drove 562.5 miles in 12.3 hours. The Castillo's drove 353.6 miles in 8 hours. On average, who was driving at a fa

m_a_m_a [10]

Set up 2 proportions

562.5 over 12.3 = x over 1

and

353.6 over 8 = x over 1

then cross multiply both of them

12.3x = 562.5

and

8x = 353.6

then divide both of them

round
x = 45.73

and

x = 44.2

based on those answers the petersons were driving faster

3 0

4 years ago