1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OverLord2011 [107]
3 years ago
9

James goes out to eat with Janet, and their meal costs $68. There is a sales tax of 7% and Janet wants to leave a 20% tip. How m

uch money will Janet spend on the entire meal?
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

$86.36

Step-by-step explanation:

Tax: 7%, or 0.07

Tip: 20%, or 0.2

Substitute the values:

Tip: 68 * 0.07 = 4.76

Tip: 68 * 0.2 = 13.6

Just the meal cost: 1 * 68 = 68

Add these all together

4.76 + 13.6 + 68 = 86.36

Thus, the total cost of the meal would be $86.36

You might be interested in
The Students' Union needs to order some pens and notebooks. How much does it cost to order 1000 pens and 2000 notebooks? $ Cost
NeX [460]

Answer:

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

Step-by-step explanation:

The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.

Then the total of money needed to order 1000 pens and 2000 notebooks is:

Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120

Then, it costs $2120 to order 1000 pens and 2000 notebooks.

6 0
4 years ago
1. What is the place value of the 1 in 1,234,567,890? ​
FrozenT [24]

Answer:

The place value of 1 in 1,234,567,890 is <u>1</u><u>,</u><u>0</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u>.</u>

4 0
3 years ago
Read 2 more answers
If:
PSYCHO15rus [73]

Take some trinomial expansions to find some useful expressions and their values.

• 2nd degree expansion

x + y + z = 7 \\\\ \implies (x+y+z)^2 = x^2+y^2+z^2+2(xy+xz+yz) = 7^2 \\\\ \implies xy+xz+yz = \dfrac{49-33}2 = 8

• 3rd degree expansion

x+y+z=7 \implies (x+y+z)^3 = 7^3 \\\\ \implies \\ 243 = x^3+y^3+z^3+3(x^2y+x^2z+xy^2+y^2z+xz^2+yz^2) + 6xyz \\\\ \implies \\ x^2y+x^2z+xy^2+y^2z+xz^2+yz^2 + 2xyz = \dfrac{343 - 145}3 = 66

• 4th degree expansion

x+y+z=7 \implies (x+y+z)^4 = 7^4 \\\\ \implies \\ 2401 = x^4+y^4+z^4+4(x^3y+x^3z+xy^3+y^3z+xz^3+yz^3) \\\\ ~~~~~~~~~~~~+ 6(x^2y^2+x^2z^2+y^2z^2) + 12(x^2yz+xy^2z+xyz^2) \\\\ \implies \\\\ x^4+y^4+z^4 = 2401 - 4(x^3y+x^3z+xy^3+y^3z+xz^3+yz^3) \\\\ ~~~~~~~~~~~~~~~~~~~~~~- 6(x^2y^2+x^2z^2+y^2z^2) - 12(x^2yz+xy^2z+xyz^2)

Simplify:

x^3y+x^3z+xy^3+y^3z+xz^3+yz^3 \\\\ ~~~~ = x^2 (xy+xz) + y^2 (xy+yz) + z^2 (xz + yz) \\\\ ~~~~ = x^2 (xy+xz+yz) + y^2 (xy+xz+yz) + z^2 (xy + xz + yz) - (x^2yz + xy^2z + xyz^2) \\\\ ~~~~ = (x^2+y^2+z^2) (xy+xz+yz) - xyz (x+y+z) \\\\ ~~~~ = 264 - 7xyz

x^2y^2+x^2z^2+y^2z^2 \\\\ ~~~~ = xy\cdot xy + xz \cdot xz + yz \cdot yz \\\\ ~~~~ = xy(xy+xz+yz) + xz(xy+xz+yz) + yz(xy+xz+yz) - 2(x^2yz+xy^2z+xyz^2) \\\\ ~~~~ = (xy+xz+yz)^2 - 2xyz(x+y+z) \\\\ ~~~~ = 64 - 14xyz

x^2yz+xy^2z+xyz^2 = xyz (x + y + z) = 7xyz

Then the equation we got from the 4th degree expansion reduces to

x^4+y^4+z^4 = 2401 - 4(264-7xyz) - 6(64-14xyz) - 12(7xyz) \\\\ ~~~~~~~~~~~~~~~~~= 961 + 28xyz

and all we need now is the value of xyz.

In the 3rd degree expansion, we have

x^2y+x^2z+xy^2+y^2z+xz^2+yz^2 \\\\ ~~~~ = x(xy + xz) + y(xy + yz) + z(xz + yz) \\\\ ~~~~ = x(xy+xz+yz) + y(xy+xz+yz) + z(xy+xz+yz) - 3xyz \\\\ ~~~~ = (x+y+z)(xy+xz+yz) - 3xyz \\\\ ~~~~ = 56 - 3xyz \\\\ \implies (56 - 3xyz) + 2xyz = 66 \\\\ \implies xyz = -10

So, we end up with

x^4+y^4+z^4 = 961 - 280 = \boxed{681}

4 0
1 year ago
5 out of 7 students voted to paint the benches. a total of 185 voted to paint the benches. how many students voted?
jeka57 [31]
Let x = number of students then by proportion:-

5/7 =  185 / x

x = (7 * 185)  / 5

  =  259 Answer
7 0
3 years ago
What is the equation that matches the graph?
Korolek [52]
The answer is C. 1/3 represents the slope and -3 represents the y intercept.
3 0
3 years ago
Other questions:
  • Does 0.3 and 3.0 have the same value
    8·2 answers
  • The amount of time between interest payments is known as
    12·2 answers
  • One positive number is 4 more that twice another. is the product
    5·1 answer
  • What the answer to this
    9·1 answer
  • Identity whether the following points are collinear . (2 , 3 ) (4 , 7 ) (8 , 11 )
    10·1 answer
  • Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?
    7·1 answer
  • To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 8.4 cm and volume of 3119.5 cm3. Give the approxim
    13·1 answer
  • − 4 x −4x y = y= x − 5 x−5<br><br> please answer with a short answer, if not its ok.
    14·1 answer
  • Fill in the blank.<br><br> 2×56 = ___ + 56
    11·1 answer
  • The graph below represents the number of pieces of paper that are found in boxes. What is the constant of proportionality?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!