Today, 5 friends went out for lunch. Their total bill was $34.15, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill.
How much money will each person get back?

Answer:

8/10 or simplified will be 4/5

Step-by-step explanation:

Since there are 8 black balls and 10 balls in total, this is the probability

The probability of picking one black ball without looking is, 4/5.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, There are eight black balls and two white balls in a bag.

So, N(B) = 8 and N(W) = 2.

The sample space N(S) = 8 + 2  10.

Therefore, The likelihood of randomly selecting one black ball is,

P(B) = N(B)/N(S).

P(B) = 8/10.

P(B) = 4/5.

learn more about probability here :

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Answer:

x < 0

Explanation:

A negative times a negative equals a positive, and the expression is positive, so x has to be negative/less than 0

I know you already got the answer, but one of the links was deleted so I thought I'd post it as an answer instead of a comment :)

Answer:

6-4c

Step-by-step explanation:

2(3-2c)

2×3+2×-2c

6+2×-2c

6-4c

Answer:

-6

Step-by-step explanation:

The quadratic function represented by the graph as given in the attached image is; Choice C; y = 2x² - 10x + 12.

It follows from the task content that the quadratic function which is represented by the graph be determined.

Since the quadratic function can be modelled as follows; y = a (x - p) (x -q) where; a is a constant, and p and q are the roots of the quadratic function.

Hence, since it follows that the roots are 2 and 3; we have;

y = a (x - 2) (x -3)

Hence, to determine the value of constant, a, we must substitute the values defined by the point given; (1, 4) as follows;

4 = a (1 -2) (1 -3)

4 = a(-1) (-2)

4 = 2a

a = 2.

On this note, the required equation is; y = 2 (x - 2) (x - 3).

Ultimately, the required quadratic function is; Choice C; y = 2x² - 10x + 12.

Read more on quadratic functions;

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The answer is J. When the circle on the graph is filled in, that means that number is included in the solution.

25x </= 300

Divide both sides by 25

x </= 12

Answer: J

Number line J. beast represents the solution to the inequality.

Step-by-step explanation:

Have a nice day!

Give the other person brainliest! :-)

Answer:

3.15

Step-by-step explanation:

10.08 / 3.2 = 3.15

Answer:

$15,840

Step-by-step explanation:

10% of 17600 = 1760

17600 - 1760 = 15840

Answer:

The answer is B

Step-by-step explanation:

Answer:

The system of equations has one solution. The two equations are intersecting lines.

Step-by-step explanation:

if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.

2(12x+2)=x+4

next, you have to distribute

24x+4=x+4

subtract 24x from each side

4=-23x+4

subtract 4 from each side

0=23x

divide each side by 23

x=0

now, plug in 0 to one equation.

y=12(0)+2

y=2

the lines intersect at one point, (0,2)

Answer: It’s C. 450.5 miles

Step-by-step explanation:

You need to first subtract 14.95 from 60. You will get 45.05. Then you have to divide by 0.1 to figure out how many miles Nichole can go. So Nichole can go 450.5 miles

Answer:

the answer is c

Step-by-step explanation:

multiply .10 x 450.5 + 14.95 and boom you get sixty dollars

Answer:

27/36

Step-by-step explanation:

25 + 2 = 27

total = 36

I hope this helps- i need to write words so here this lol yep yep have a nice day- :)

Answer:

183136 is the correct answer

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

Answer:

y  =  2 -  ( x - 1)²/9

Step-by-step explanation: See Annex

As the parameter t increases,  the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.

b) to eliminate the parameter:

x  =  1  + 3*t    (1)          y  =  2  -  t²  (2)

Then  from equation (1)  t  = ( x  - 1 ) / 3

plugging that value in equation (2)

y  =  2  -  [ (  x  -  1 ) / 3 ]²

y  =  2  - ( x² + 1 - 2*x)/9

9*y  =  18  - x² + 1 - 2*x    or    y  =  2 -  ( x - 1)²/9

The curve is a parabol

Answer:did you get the answer yet cause I really need it

Step-by-step explanation: please y’all help this person answer the question

Answer:

The first option.

Step-by-step explanation:

You take the major vertical length and put it into this equation:

2a = 16

a/2 = 16/2

a = 8

You do the same with the minor length.

2b = 10

b/2 = 10/2

b = 5

You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1

Answer:

-m^2n^5(1+4mn)

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

[tex]c = coffee\\ j= juice\\ d = doughnut[/tex]

So, we have:

Anna

[tex]2c + j + 2d = 7.50[/tex]

Barry

[tex]c + 3d = 5.00[/tex]

Cathy

[tex]3c + j + 4d = 11.50[/tex]

Required

The price of each

We have:

[tex]2c + j + 2d = 7.50[/tex]

[tex]c + 3d = 5.00[/tex]

[tex]3c + j + 4d = 11.50[/tex]

Make c the subject in: [tex]c + 3d = 5.00[/tex]

[tex]c = 5.00 - 3d[/tex]

Substitute [tex]c = 5.00 - 3d[/tex] in [tex]2c + j + 2d = 7.50[/tex] and [tex]3c + j + 4d = 11.50[/tex]

[tex]2c + j + 2d = 7.50[/tex]

[tex]2[5.00 - 3d] + j + 2d = 7.50[/tex]

[tex]10.00 - 6d+ j + 2d = 7.50[/tex]

Make j the subject

[tex]j = 7.50 - 10.0 +6d - 2d[/tex]

[tex]j = -2.50 +4d[/tex]

[tex]3c + j + 4d = 11.50[/tex]

[tex]3[5.00 - 3d] + j + 4d = 11.50[/tex]

[tex]15.00 - 9d + j + 4d = 11.50[/tex]

Make j the subject

[tex]j = 11.50 - 15.00 + 9d -4d[/tex]

[tex]j = -3.50 + 5d[/tex]

So, we have:

[tex]j = -3.50 + 5d[/tex] and [tex]j = -2.50 +4d[/tex]

Equate both values of  j

[tex]-3.50 + 5d = -2.50 + 4d[/tex]

Collect like terms

[tex]5d - 4d = 3.50 -2.50[/tex]

[tex]d = 1.00[/tex]

Substitute [tex]d = 1.00[/tex] in [tex]j = -3.50 + 5d[/tex]

[tex]j = -3.50 + 5d[/tex]

[tex]j = -3.50 + 5 * 1.00[/tex]

[tex]j = -3.50 + 5.00[/tex]

[tex]j = 1.50[/tex]

To solve for c, we substitute [tex]d = 1.00[/tex] in [tex]c + 3d = 5.00[/tex]

[tex]c + 3 * 1.00 =5.00[/tex]

[tex]c + 3.00 =5.00[/tex]

Solve for c

[tex]c =- 3.00 +5.00[/tex]

[tex]c =2.00[/tex]

Answer:

$133,728 would be in the count after 12 hours.

Step-by-step explanation:

Continuous compounding:

The amount of money, in continuous compounding, after t years, is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial deposit and r is the interest rate, as a decimal.

Isaac invested $77,000 in an account paying interest rate of 4.6% compounded continuously.

This means that [tex]P(0) = 77000, r = 0.046[/tex]

Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be the count after 12 years?

This is P(12). So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(12) = 77000e^{0.046*12} = 133728[/tex]

$133,728 would be in the count after 12 hours.

Answer:

a) The value of q is 0.2.

b) E(X) = 1.85.

Step-by-step explanation:

Question a:

The sum of all the probabilities must be 1. So

[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]

[tex]x + 0.8 = 1[/tex]

[tex]x = 0.2[/tex]

The value of q is 0.2.

Question b:

Multiplication of each value of x by its probability. So

[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]

So the answer is E(X) = 1.85.

Step-by-step explanation:

you use a cah method which mean to get the angle you divide the adjacent length by hypotenuse and then find the CAH inverse using your calculator to get the angle

Answer:

D. (12 x 10) + (5 x 4)

Step-by-step explanation:

If you draw a line separating the big square from the little square,  you have a 12 x 10 large square, and a 5 x 4 smaller square. We know the second dimension of the small square because the large square takes 10ft off of the total length of 4ft.

Calculate both areas separately, then add them together.

Answer:

i. A = $25 t + $150

ii. B = $35 t + $100

iii. Number of hours = 5

Step-by-step explanation:

For company A:

A = $25 t + $150

where A is the amount charged and t is the number of hours of landscaping.

For company B:

B = $35 t + $100

where B is the amount charged and t is the number of hours of landscaping.

When the time  is 5 hours, then:

i. A = $25 t + $150

     = $25 (5) + $150

     = $125 + $150

A = $275

ii. B = $35 t + $100

      = $35(5) + $100

      = $175 + $100

B = $275

Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.

Answer:

x ≤ - 3

Option A

Step-by-step explanation:

Given the inequality :

-7x - 13 ≥ 8

Add 13 to both. Sides

-7x - 13 + 13 ≥ 8 + 13

-7x ≥ 21

Divide both sides by -7

x ≤ - 3

Answer:

2222333344445555666677778888

Step-by-step explanation:

I don't see the thing

Answer:

6^2

Step-by-step explanation:

A square has equal sides. The area of a rectangle or square is LxW. Since the length and width are the same it is squared or put to the power (exponent) of 2.

Answer:

Solution given:

radius [r]= 9cm

volume of hemisphere =2/3 ×(πr³)=2/3×π×9³

=486πcm³ is your answer