Your parents took your family out to dinner your parents wanted to give the waiter a 15% tip if the total amount of the dinner was $67.50 what should be paid to the waiter as a tip and what is the total amount your parents will spend

Answer:

Step-by-step explanation:

1 ÷ 2(2x+6) = 4x-1

[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]

[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]

1 = (4x - 1)(4x + 12)

Use FOIL method.

1 = 4x * 4x  + 4x *12 - 1 * 4x - 1*12

1 = 16x² + 48x - 4x - 12

1 = 16x² + 44x -12

0 = 16x² + 44x - 12 -1

16x² + 44x - 13 = 0

Answer:

51

Step-by-step explanation:

24 ^2+45^2=x^2

=51

The unbiased estimator

Answer:

Simplify each term.

Px+px+3p=10x−7

Move all terms not containing P to the right side of the equation.

Px=10x−7−px−3p

Divide each term by x and simplify.

P=10−7/x−p−3p/x

Step-by-step explanation:

Answer:

L = 7.14

Step-by-step explanation:

using the Pythagorean theorem:

L² = 10² - 7²

L² = 100 - 49= 51

L = 7.14

Answer:

7.14

Step-by-step explanation:

to answer this you need to use pythagoras theorem and that is A²+B²=c²

in this case C²-A²=B²

10²=100

7²=49

100-49=51

then you need to square root 51 which gives your answer 7.14

Answer:

DH

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

im in 8th grade this is what were doing right now

Answer: x=9

Step-by-step explanation:

2x+10=28

2x=18

x=9

Answer:

9

Step-by-step explanation:

because 2 times 9 is 18 then plus 10 equals 28

Answer:

0.2297 ;

78% of drivers use their turn signal. Part A: What is the probability that exactly 3 drivers use their turn signal if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver using their turn signal that the police officer pulls over if the fifth driver? (5 points) (10 points)

Step-by-step explanation:

p = 0.78

1 - p = 0.22

P(x = 3)

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 5C3 * 0.78^3 * 0.22^2

P(x = 3) = 10 * 0.78^3 * 0.22^2

P(x = 3) = 0.2297

Step-by-step explanation:

the lebgth to form the right angle is e9

2121, 3625,6540 and 8750 is the answer.

hope it helps

Answer:

8 CDs

Step-by-step explanation:

Veronica started with 50 CDs

After giving 8 CDs to Leslie, Veronica now has 42 CDs

Now Veronica made 6 equal sets

Hence, 42/6 = 8

So there are 8 CDs in each set.

Answer:

X=2

Step-by-step explanation:

first combine like terms

subtract the x

add 5

lastly divide by 7

Answer:

There are 6 pears and 9 apples.

Step-by-step explanation:

The equation would be a=3+2p

Answer:

The side lengths are 10 by 7

Step-by-step explanation:

The area of a rectangle is

A = l*w

70 = (x - 11)(x - 8)

FOIL

70 = x^2 -8x-11x+88

Combine like terms

70 = x^2 -19x +88

Subtract 70 from each side

0 = x^2 -19x +88-70

0 = x^2 -19x+18

Factor

What number multiplies to 18 and adds to -19

-18*-1 =18

-18-1 = -19

0=(x-18)(x-1)

Using the zero product property

x-18=0   x-1=0

x=18   x=1

But x cannot x=1 because then the side lengths would be negative

x-18 = 10

x-11 = 7

The side lengths are 10 by 7

Answer:

350

Step-by-step explanation:

2(lw + wh + lh)

(7*7) = 49

(7*9) = 63

(9*7) = 63

so now its

2(49 + 63 + 63)

= 2(175)

= 350

have agreat day and easter :)

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

Answer:

[tex]g = \frac{ x - 2}{3} [/tex]

Answer: g=x-2/3

Step-by-step explanation:

When it says make g the subject it means make it on it's own in front of the '=' sign.

To make g the subject, you have to do the inverse to 'undo' the equation.

So, instead of adding 2, you have to take away 2 from x. This would now look like this:

x-2=3g

In algebra, when a number is next to a letter it means times. So instead of multiplying g by 3, you would have to divide x-2 by 3. This would now look like this:

x-2/3=g

Hope this helps :)

Answer:

x=-2

Step-by-step explanation:

2x+1=(-3)

-1 on both sides

2x=-4

÷2 on both sides

x=-2

Hope this helps =]

Answer:

a, b, e

Step-by-step explanation:

It is proportional since it goes at the same rate on the x and y

It has a rate of 8.5 since 17/2=8.5

at the rate of 8.5 y per one x then 4 8.5's would make 34

Answer:

4/2

Step-by-step explanation:

Answer:

25 and 13

Step-by-step explanation:

25 - 13 = 12  

25 + 2 = 27

13 -10 =3

27 is 9 times larger than 3

Answer is in the file below

tinyurl.com/wpazsebu

Your Welcome!!!!

The answer is in the picture!!!! :3

Answer:

Step-by-step explanation:

3 = (-1) * (-3)

So, Now we can write

[tex](5^{n})^{3}= (5^{n})^{-1 * -3}\\\\= (5^{n*-1})^{-3}\\\\=(5^{-n})^{-3}\\\\= (0.5)^{-3}\\\\= \frac{1}{0.5^{3}}\\\\=\frac{1}{0.125}[/tex]

Answer:

2232.48 meters

Step-by-step explanation:

From the diagram:

Radius of semicircle = 74

Length of straightway on each side = 1000

The length of school track:

Straightway on each side = 2 * 1000 m = 2000m

Length of semicircle = πr/2

Length of both semicircle  = 2 * 3.142 * 74 /2 = 232.47785

Total Length = ( 2000 + 232.47785) = 2232.48 meters

Hope this helps!

Answer:

3 both sides

Step-by-step explanation:

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

1   2  3  4 5 6 7 8 9 10 11 12 13

The distance is 12

Edit: I did it wrong, sorry

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hope it helps

Answer:

The distance between the two points is 13 units

Step-by-step explanation:

on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not

basically just add them in absolute value |-5| + 8= 13

hope this helps <3