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2 years ago

9

The Khan family ate at Sunbird Seafood last Friday and their bill was $70. They left the server a 15% tip. The tax rate was 5%.

How much money was for the tip only?

1 answer:

Evgesh-ka [11]2 years ago

8 0

$5 because %15 of $70 is 10 and %5 of $10 is 5

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A coyote can run up to 43 miles per hour while a rabbit can run up to 35 miles per hour.write two equivalent expression and then

yaroslaw [1]

D=s*t
distaance=speed times time

cd=coyote distance*time=ds*dt
rd=rabbit diatance*time=rs*rt

given
t=6 for all, so dt=rt=6

and ds=43
rs=35

cd=43*6=258miles
rd=35*6=210miles

how much more?
258-210=48

48 more miles

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3 years ago

Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10

dedylja [7]

Answer:

Brent’s club has more possible team combinations because there are more members to choose from

Step-by-step explanation:

Brents club can be created in C12 6 =12!/6!/6!=7*8*9*10*11*12/(2*3*4*5*6)=

=924 variants

Miguel's club can be created in C10 6=10!/6!/4!=7*8*9*10/(2*3*4)=210 variants

924>210 so Brent’s club has more possible team combinations because there are more members to choose from

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3 years ago

Find the area of the parallelogram

iogann1982 [59]

Answer:

The answer is 32.

Step-by-step explanation:

Just multiply the height by the base length. 4*8=32

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3 years ago

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

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3 years ago

Read 2 more answers

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Ray Of Light [21]

Answer:

18

Step-by-step explanation:

This is because when you find the prime factors, you can take out the ones that they have together.

In this case:

9 - 3 * 3

6 - 3 * 2

2 - 2

So notice that each number has a maximum of 2 3s and 1 2, thus, you can multiple 3 * 3 * 2

8 0

3 years ago