The hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?

The total cost of the meal is $

Answer:

15x - 21

Step-by-step explanation:

-3(-5x+7)

you sidtribute the 3 to both numbers by multiplying both the -5 and the 7 by -3

-3 x -5x = 15x (remember, a negative times a negative equals a positive)

-3 x 7 = -21 (A negative times a positive equals a negative)

15x - 21

Answer:

I need to know how fast the driver is going

Step-by-step explanation:

Answer:

12/s

Step-by-step explanation:

Answer:

B and E i think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

f(x) = 3x^3 + 5x^2

f(-1)

so just substitute in the value -1 for x, and solve

f(-1) = 3(-1)^3 + 5(-1)^2

     = 3 * -1 + 5 *1

     = -3 + 5

     = 2

Answer:

$4.73 for the flour and $0.41 for the baking soda $5.14 together

Step-by-step explanation:

Answer: .....

Step-by-step explanation:

Answer:

gabby is correct

Step-by-step explanation:

Answer:

It's a line parallel to the y-axis

Step-by-step explanation:

Note that the similar x value in both coordinates.

Then it's a line drawn parallel to the y-axis

Therefore, the slope is infinite as it makes a right angle with the x-axis.

Answer:

DE≅JK

Step-by-step explanation:

already have aa need the side after or before the 2 angles

Answer:

Step-by-step explanation:

We have one side and one angle, need one more side such that the angle is between those sides. It will make SAS congruency

So required sides are

Answer:

23

Step-by-step explanation:

Answer:

They sold 48 sundaes.

Step-by-step explanation:

Answer:

Sunayana's income is ₹25000 and expenditures are ₹15000.

Step-by-step explanation:

Let i denote the monthly income and e denote the expenditures.

We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:  

[tex]\displaystyle \frac{i}{e}=\frac{5}{3}[/tex]

Let's multiply both sides by e. This yields:

[tex]\displaystyle i=\frac{5}{3}e[/tex]

We know that when the income is increased by 5000 and the expenditures are decreased by 3000, the new ratio is 5:2. So, we can write the following proportion:

[tex]\displaystyle \frac{i+5000}{e-3000}=\frac{5}{2}[/tex]

Let's multiply both sides by [tex](e-3000)[/tex]:

[tex]\displaystyle i+5000=\frac{5}{2}(e-3000)[/tex]

Since we know that [tex]i=\frac{5}{3}e[/tex], substitute:

[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}(e-3000)[/tex]

So, let's solve for the expenditures. Distribute the right:

[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}e-7500[/tex]

Subtract [tex]\frac{5}{2}e[/tex] from both sides:

[tex]\displaystyle -\frac{5}{6}e+5000=-7500[/tex]

Subtract 5000 from both sides:

[tex]\displaystyle -\frac{5}{6}e=-12500[/tex]

Multiply both sides by -6/5. So, the expenditures are:

[tex]e=\text{Rs }15000[/tex]

We can use the original ratio to find Sunayana's income:

[tex]\displaystyle i=\frac{5}{3}e[/tex]

Substitute 15000 for e. Evaluate:

[tex]\displaystyle i=\frac{5}{3}(15000)=\text{Rs }25000[/tex]

So, Sunayana's income is ₹25000 and expenditures are ₹15000.

And we're done!

Answer: Income = 25000, Expenditures = 15000

Step-by-step explanation:

A ratio of 5:3 can also be written in fraction form as [tex]\dfrac{5}{3}[/tex] (which is in simplified format from [tex]\dfrac{5x}{3x}[/tex]).

Adding 5000 to 5x results in 5x + 5000

Subtracting 3000 from 3x results in 3x - 3000

--> [tex]\dfrac{5x+5000}{3x-3000}[/tex]

The new ratio of 5:2 can be written in simplified fraction form of [tex]\dfrac{5}{2}[/tex].

Set the fractions equal to each. Then cross multiply and solve for x.

   [tex]\dfrac{5x+5000}{3x-3000}=\dfrac{5}{2}[/tex]

5(3x - 3000) = 2(5x + 5000)             Cross multiplied

15x - 15000 = 10x + 10000                Distributed

5x - 15000 =            10000                Subtracted 0x from both sides

5x               =            25000               Added 15000 to both sides

               x = 5000                            Divided 5 from both sides

The original ratio of 5 : 3     -->  5x:3x

where 5x is the income and 3x is the expenditures results in:

income = 5x                            expenditures = 3x

             = 5(5000)                                         = 3(5000)

             = 25000                                          = 15000

Answer:

The formula for D in terms of t is D=0.01875t²

The value of D is 76.8

Step-by-step explanation:

See above for an image

Hope I helped!

After calculating by definition of proportionality, the value of D is 76.8

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The distance, D, travelled by a particle is directly proportional to the square of the time, t.

So, We can defined as;

⇒ D = k × t²

Where, 'k' is constant of proportion.

Here, When t = 40, D = 30,

⇒ D = k × t²

⇒ 30 = k × 40²

⇒ 30 = k × 1600

⇒ k = 30 / 1600

⇒ k = 3/160

So, When t = 64, the value of D is,

⇒ D = 3/160 × 64²

⇒ D = 76.8

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer:

The slope of the line passing through both points is 0

Step-by-step explanation:

Mathematically, we can calculate the slope as follows;

m = (y2-y1)/(x2-x1)

where (x1,y1) = (-6,-7)

(x2,y2) = (-24,-7)

Thus m = (-7 -(-7))/(-24 + 6) = 0/18 = 0

The slope of both is 0

Answer:

1

Step-by-step explanation:

Answer:

Anything raise to 0 is 1

so (-6)^0=1

Answer:

0.01364

Step-by-step explanation:

It is given that,

A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.

Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

D = 0.10909 - 0.09545

D = 0.01364

Therefore, this is the required solution.

Answer:

Graph D

Step-by-step explanation:

EDG 2021

Answer:

n=12

Step-by-step explanation:

Answer:

48 feet

Step-by-step explanation:

6 feet wide

3 times as long as it's wide (width) = 6×3 = 18

18 + 6 + 18 + 6

= 24 + 24

= 48 feet

Answer:

n = 4

Step-by-step explanation:

Where's a or did you mean n?

Answer:

n=4

Step-by-step explanation:

5n+34=-2(1-7n)

1. So first expand.

5n+34=−2+14n

2 Regroup terms.

5n+34=14n−2

3 Subtract 5n from both sides.

34=14n−2−5n

4 Simplify  14n-2-5n to  9n-2.

34=9n−2

5 Add 22 to both sides.

34+2=9n

6 Simplify  34+2 to 36.

36=9n

7 Divide both sides by 9.

36/9=9

​​

8 Simplify 36/9 to 4

4=n

9 Switch sides.

n=4

Answer:

$34781

Step-by-step explanation:

Answer:

What is 18/4 Simplified? - 9/2 is the simplified fraction for 18/4.

Step-by-step explanation:

Answer:

- 9/2

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

The rate of change of the values is the slope m

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 32) and (x₂, y₂ ) = (0, 20) ← 2 ordered pairs from the table

m = [tex]\frac{20-32}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6 ← rate of change

Answer:

Step-by-step explanation:

Simplify

Answer:

brainliest plsssssss

Step-by-step explanation:

(6^4)^2

=(6^4)^2

=(6^4) x (6^4)

=(6 x 6 x 6 x 6) x (6 x 6 x 6 x 6)

=6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

=68

=1679616

Answer:

See below

Step-by-step explanation:

Given

This inequality covers the interval greater than  - 1

Its graph covers the space to the right from the point -1

The vertical line  - 1 is a dotted line as - 1 is nor included

Answer:

ok ok i dont get it

the teacher has 1 gallon of water

the kids get the same amount from that one gallon

now how many GALLONS do EACH child recieve?

thats messed up

find the mistakes

Answer:

- The equation that represent the cost C of renting a car and driving x miles is  C = $39.11 + $0.50x

- $100 can travel 121.78 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.11 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.11 + $0.50x

Now, to determine how many miles 100$ can travel,

we will put C = $100, and determine x in the above equation

$100 = $39.11 + $0.50x

$100 - $39.11 = $0.50x

$60.89 = $0.50x

x = $60.89/$0.50

x = 121.78

Hence, $100 can travel 121.78 miles

HOPE IT HELPS YOU!!!