Nancy and two friend paid a 15% tip for a restaurant bill of $51. Then
they split the bill evenly how much did each person pay? *

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

Answer:

6 : 2

Step-by-step explanation:

30 : 10

( 30 divided by 5 equals 6)

( 10 divided by 5 equals 2)

ratio is:

6 : 2

pls mark brainlest ;)

Hopefully this helps you :)

Answer:

L = 48

Step-by-step explanation:

Given that L varies directly with Z² , then the equation relating them is

L = kZ² ← k is the constant of variation

To find k use the condition L = 12 when Z = 2 , then

12 = k × 2² = 4k ( divide both sides by 4 )

3 = k

L = 3Z² ← equation of variation

When Z = 4 , then

L = 3 × 4² = 3 × 16 = 48

Answer:

I need help

Step-by-step explanation:

Answer:

Lenora can make 15 batches if she has 5 cups of oil.

Step-by-step explanation:

I hope this helps you :)

Answer:

x = −1/6,−3

Step-by-step explanation:

Hope this helps

Answer:

The slope is: 20/-8, or -20/8

Step-by-step explanation:

to find the rate of change, you do change in y over change in x

so you minus the y numbers and minus the x numbers

so,

20-0/0-8 = 20/-8

or you can do

0-20/8-0 = -20/8

both of them are the same

sorry I'm really bad at explaining myself

hope this helps! :D

Answer:

Step-by-step explanation:

(0 - 20)/(-8 - 0)= -20/-8= 20/8= 5/4

Answer:

8780.

Step-by-step explanation:

-6 times -6 is 36 + 8744

Answer:

8780

Step-by-step explanation:

We simply substitute "-6" in for "y"

[tex]y^2 + 8744\\\\(-6)^2 +8744\\\\36 + 8744\\\\8780[/tex]

Answer:

C (-6,-8) → C' (6,8)

D (-2,-8) → D' (2,8)

E (-2,-4) → E' (2,4)

F (-6,-4) → F' (6,4)

Step-by-step explanation:

When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.

Because all the points are negative, rotating them 180° counterclockwise will make them positive.

Hope that helps.

Answer:  5/8 cm^3

Step-by-step explanation:

V = l x w x h

l = 3/4 cm

w = 1/3 cm

h = 5/2 cm

V = (3/4 cm) x (1/3 cm) x (5/2 cm) = 15/24 cm^3 = 5/8 cm^3

Refer to the attachment for solution.

Answer:

-3 >-5

5>-4

Step-by-step explanation:

Negative 3 is closer to zero so that statement is true. Also it's obvious 5 is greater than negative 4

hope this helps. Please mark me brainiest          

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question

the point is (3,-2) and slope - 4/5

The equation of the line is

Hope this helps you

The point-slope equation of the line is given by:

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

It is given by:

[tex]y - y_0 = m(x - x_0)[/tex].

In which:

The line that passes through (3,-2) with a slope of -4/5, hence the parameters are given by:

[tex]x_0 = 3, y_0 = -2, m = -\frac{4}{5}[/tex]

Thus, the equation of the line is:

[tex]y - y_0 = m(x - x_0)[/tex].

[tex]y - (-2) = -\frac{4}{5}(x - 3)[/tex].

[tex]y + 2 = -\frac{4}{5}(x - 3)[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

3/14

Step-by-step explanation:

Go to cordinate plane and then find distance.

Answer:

a)$29.25

b)7hours

comments if you need an explanation

Answer:

Part A: 29.25

Part B: 7 hours

Step-by-step explanation:

Part A :

6.50 times 4.5 equal 29.25

Part B:

45.50 divided by 6.5 equal 7

hopefully this helps you :)

pls give me brainlest :)

55oz converted into pounds is 3.4375 lbs.

Answer:

3.4375 lbs.

Yeah, not being the process... Sorry!

Sorry but that's an unclear question, can you double check to see if you included everything, and also check to see the possible answers?

132/4 = 33, x = 33 boxes

Answer:

4x=132

you divide by 4 on both side

x should be by it self

x=132/4

x=33

If you want make a harder equations use this

4x+10=142

subtract 10 9n both side

-10+10 +4x= 142-10

4x=132

divide by four on both side

x=132/4

x=33

Answer:

$885.01

Step-by-step explanation:

Answer:

$885.51

Step-by-step explanation:

$835.50-$13.29= $822.21

-The first step is to subtract the deduction. Deduction always means subtract.

$822.21+$34.35= $856.56

-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.

$856.56+$28.95= $885.51

-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.

Answer:

Step-by-step explanation:

Part A:

C = 10t + s

Part B:

10(3) + 8

30 + 8 = $38

Answer:

227.5

Step-by-step explanation:

Find the number that is increased by 30% to get to 325.  

100-30 = 70.

In other words, what number is 70% of 325.

325 x .70 = 227.5

The original price of the ring was 227.5.

Check your work, 227.5 = 70% of X

227.5  / .70  = 325

Answer:

The cost before the increase is £250.

Step-by-step explanation:

Given that after 30% increases, the cost of the ring is £325 so we can assume that 130% is £325. Now, we have to form an expression in term of x where x represents the original cost :

[tex] \frac{130}{100} \times x = 325[/tex]

Next, we have to solve it :

[tex]x = 325 \div \frac{130}{100} [/tex]

[tex]x = 325 \times \frac{100}{130} [/tex]

[tex]x = 250[/tex]

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

The solution is too long so i m just giving u answer

[tex]y = (0 \: or \: - \frac{9}{5} )[/tex]

Answer:

Step-by-step explanation:

Parent function:

Transformed function:

Transformation applied:

Correct answer choice is:

Answer:

x will equal 61 degrees

Step-by-step explanation:

The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.

Answer:

(-3,-4) is the answer for the question

Answer:

28,500,000 into scientific notation is 2.85 x 10⁷

2.85 x 100 in scientific notation is 2.85 x 10²

if you mean the multiplication symbol, it just means to multiply. otherwise, there i don't see an x anywhere else

Answer:

6%per year

Step-by-step explanation:

210000/300000=.7

it increased by 30%

30/5=6%per year

The ratio of the increase to the original will be 0.43.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Original value = $210,000

Final value = $300,000

Increment = 300000 - 210000 = 90000

The ratio of increment to original

⇒ 90000 / 210000 = 0.43

Hence "The ratio of the increase to the original will be 0.43".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

Answer:

x = 2

Step-by-step explanation:

Given

[tex]\frac{5}{2}[/tex] x - 3 = 2 ( add 3 to both sides )

[tex]\frac{5}{2}[/tex] x = 5 ( multiply both sides by 2 to clear the fraction )

5x = 10 ( divide both sides by 5 )

x = 2