Molly and her friends just dined at a restaurant and left a tip of $20.54, which was equal to exactly 30% of the total bill. What was the total bill in dollars? Round your answer to two decimal places.

Answer:

y = -1/30x + 14

Step-by-step explanation:

Height (changing by -1) is the dependent variable, therefore is represented by y

Time (changing by +30) is the independent variable, therefore is represented by x

14 = where we started from

Slope = Change in y / Change in x

Slope = -1/30x

Equation = -1/30x + 14

Hope this helps!

Answer:

The amount with which she should increase the length and the with of the sandbox is 2 feet each

Step-by-step explanation:

The dimensions of Melissa's rectangular box are;

Width of the box = 4 feet

Length of the box = 8 feet

The total area of the new sandbox, A = 60 square feet

Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;

The area of the new sandbox, A = The new length × The new width

A = 60 ft.²

The new length = 8 + x

The new width = 4 + x

∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32

60 = x² + 12·x + 32

60 - 60 = 0 = x² + 12·x + 32 - 60

∴ x² + 12·x - 28 = 0

(x + 14)·(x - 2) = 0

x = -14 or x = 2

Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet

The amount of increase of the length and the width of the sandbox, x = 2 feet each.

Answer:

3750$

Step-by-step explanation:

Let x be the amount in dollars of sales:

125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)

0.02x = 75

x = 3750

Answer:

yes, i think it is

Step-by-step explanation:

Answer:

Yes...your right...but no...its 28 degrees.

Step-by-step explanation:

So bascially, angle C is 90 degrees. So is angle D.

We know A is 28 degrees.

We know a tiangle is 180 degrees.

We dont know the degree of C in the first trinagle or the secodn triangle, but again, we know the total degrees of C is 90.

To find the missing angle, we must find what C is first.

So, we know we can subtract 90 from 180 to get 90. Since there is a 90 degree angle in the first triangle.

Next we can subtract 28, since we know that is the measure of angle A.

This gets us 62.

Now subtract 62 from the 90 degrees of angle C. THis will find us its angle in the second traingle.

This gets us 28.

This is our missing number.

So you were wrong in the sense that you solved for the wrong angle y, but you did get the right answer:

Since we know that a triangle is 180, and one of these is a right angle, there is 90 degrees.

If we subtracrt the 28 we got just now, we would get 62, which is angle B, or DBC.

However, the 28 is angle C, or DCB.

So your answer is actually 28, not 62.

Hope this helps!

Step-by-step explanation:

We are supposed to write the equation in slope intercept form of a line . Firstly we know the slope intercept form as ,

[tex]\implies\sf y = mx + c [/tex]

Where ,

Now by question , the given data is ,

On substituting the respective values we have ,

[tex]\sf\implies y = 3 * x + (-3)\\\\\sf\implies\red{ y = 3x - 3 } [/tex]

Hence the slope intercept form is y = 3x - 3 .

Answer:

38

Step-by-step explanation:

Pemdas

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A =  Addition

S = Subtraction

Answer:

5/18 0r 27.77%

Step-by-step explanation:

I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.

Answer:

Surface area of cubic box = 376 square inch

Step-by-step explanation:

Given:

Using net diagram

Length of cubic box = 10 inches

Width of cubic box = 6 inches

Height of cubic box = 8 inches

Find:

Surface area of cubic box

Computation:

Surface area of cuboid = 2[(lb) + (bh) + (hl)]

Surface area of cubic box = 2[(10)(6) + (6)(8) + (8)(10)]

Surface area of cubic box = 2[60 + 48 + 80]

Surface area of cubic box = 2[188]

Surface area of cubic box = 376 square inch

Answer:

19433

Step-by-step explanation:

Substitute x = 144 and y = 16 into the expression

(144 - 5)² + 7(16)

= 139² + 112

= 19321 + 112

= 19433

Answer:

382 ft³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{ 3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Rdaius of sphere

= 9 ÷2

= 4.5 ft

Volume of sphere

[tex] = \frac{4}{3} (\pi)(4.5)^{3} [/tex]

= 382 ft³ (3 s.f.)

Answer:

the answer would be 20cm^2 i took a quiz.

Step-by-step explanation:

Answer:

$5.01 moneyyyyyy lollll

Answer:

$5.11

Step-by-step explanation:

Answer:

95.40

Step-by-step explanation:

120x.13=15.60. discount

120-15.60=104.40 sales price

104.40x.15=15.66 additional discount

104.40-15.66=88.74 additional sales price

88.74x.075=6.66 sales tax

88.74+6.66=95.40 total price

Answer:

Step-by-step explanation:

Given points:

The graph should have a same x-value with a different y-value.

From the list we have only point (5, 3) which makes this a non-functional relationship.

Correct choice is B

Points here are

As per definition of function

Check option B

If we put than

The. f(5) would have 2 values 8 and 3

Which won't be a function

Answer:

-2x-15

Step-by-step explanation:

Answer: C. -2x-15

Step-by-step explanation: 5 + 5(x – 4) – 7x

5(x-4)-7x+5

(5x-5×4)-7x+5

5x-20-7x+5

5x-7x-20+5

-2x-15

Answer:

3

Step-by-step explanation:

[tex]\pi V = \pi r^{2} h\\75\pi = \pi 5^{2} h\\75\pi =25\pi *h\\h = 3[/tex]

1/2 + 1/3 + 1/4 - x = - 2

6/12 + 4/12 + 3/12 - x = - 2

6 + 4 + 3 / 12 - x = - 2

13/12 - x = - 2

x = 13/12 + 2

x = 13/12 + 24/12

x = 37/12 Or x = 3 1/12

Answer:

x = 37/12 Or x = 3 1/12

Step-by-step explanation:

1/2 + 1/3 + 1/4 - x = - 2

6/12 + 4/12 + 3/12 - x = - 2

6 + 4 + 3 / 12 - x = - 2

13/12 - x = - 2

x = 13/12 + 2

x = 13/12 + 24/12

x = 37/12 Or x = 3 1/12

Answer:

6/7 > 1/2

1/3 < 1/2

Suki rode her bike a longer distance than Clarie

Step-by-step explanation:

Suki's distance = 6/7 miles

Compare with bechmark 1/2

6/7 and 1/2

Make the denominators same

(6*2)/(7*2) and (1*7)/(2*7)

12/14 and 7/14

12/14 is greater than 7/14

12/14 > 7/14

Therefore, 6/7 > 1/2

Clarie distance = 1/3 miles

Compare with bechmark 1/2

1/3 and 1/2

Make the denominators same

(1*2)/(3*2) and (1*3)/(2*3)

2/6 and 3/6

2/6 is less than 3/6

2/6 < 3/6

Therefore,

1/3 < 1/2

Compare Suki's distance with Clarie

compare 6/7 and 1/3

Make the denominators same

(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)

18/21 and 7/21

18/21 > 7/21

Suki rode her bike a longer distance than Clarie

Answer:

Hello! answer: 45 degrees

Step-by-step explanation:

90 - 45 = 45 therefore x = 45 hope that helps!

Answer:

90 minus 45 equals 45 so x is 45 :)

Answer:

One of the legs is missing; the leg missing is 16 inches long

Step-by-step explanation:

Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).

20² - 12² = x²

400 - 144 = x

400 - 144 = 256

√256 = 16

Answer:

donknow

Step-by-step explanation:

Answer:

Step-by-step explanation:

(21²+10²)½ = 23.25= 23.3

Answer:

A x=1.5y i think

Step-by-step explanation:

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x  + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet