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
weqwewe [10]
3 years ago
14

Several guys went to eat lunch at Subway

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

Joseph's bill was $9.6.

Step-by-step explanation:

Given:

Number of cold drinks  = 4

Number of subway sandwiches = 7

Total cost of cold drinks and sandwiches = $21.60

The sandwiches cost  twice as much as the cold drinks

To Find:

How much  was Joseph's bill = ?

Solution:

Let the cost  of one cold drink be x

The cost of  sandwich be y

The sandwiches cost  twice as much as the cold drinks

then

y = 2x--------------------------------------(1)

Now the total amount can be represented as

4x+7y =21.60-----------------------------(2)

Substituting (1) in (2)

4x+7(2x) =21.60

4x+14x =21.60

18x =21.60

x = \frac{21.60}{18}

x = 1.2--------------------------------------(3)

The cost of one cold drink is $1.2

On substituting (3) in(1)

y = 2(1.2)

y = 2.4

The cost of one sandwich is $2.4

Now ,Joseph and  his date had two cold drinks and three Subway sandwiches.  So Joseph bill will be

=>( 2 \times \text{ cost of one cold drink} )+ (3 \times \text{ cost of one subway sandwich})

=>(2 \times 1.2) + (3 \times 2.4)

=>(2.4) + (7.2)

= 9.6

You might be interested in
Please help me!!! I don't understand how to solve it(((
olganol [36]
\sqrt{( \sqrt{7-2 \sqrt{10} }+ \sqrt{2} )*2 \sqrt{5}  }=  \\ = \sqrt{( \sqrt{2-2 \sqrt{2*5}+5 }+ \sqrt{2} )*2 \sqrt{5}  }= \\  \sqrt{( \sqrt{( \sqrt{2}- \sqrt{5})^{2}    }+ \sqrt{2} )*2 \sqrt{5}  }= \\  \sqrt{(  \sqrt{5}-  \sqrt{2} + \sqrt{2} )*2 \sqrt{5}  }= \\ \sqrt{  \sqrt{5} *2 \sqrt{5}  }=   \\  \sqrt{2*5} = \sqrt{10}
HAVE A NICE DAY!! ^^
4 0
3 years ago
Eighty, decreased by three times a number, is the same as five times the number, increased by eight
pickupchik [31]

This is your equation: :)

80-3x=5x+8

Answer:

x=9

3 0
3 years ago
Read 2 more answers
Help me plz 6th grade math
marissa [1.9K]

Answer: 66

Step-by-step explanation:

6+4^3-8÷2

4^3 = 64

6+64-8÷2

70-8÷2

70-4 = 66

3 0
3 years ago
Read 2 more answers
A new cars salesperson, sold an average of $23,797 per day for the first 4 days she worked. The next 4 days she worked, she sold
Paha777 [63]
She average 14623.75
5 0
3 years ago
Harold uses the binomial theorem to expand the binomial (3x^5 - 1/9y^3)^4
riadik2000 [5.3K]
<h3><em>The complete question:</em></h3>

<u><em> </em></u><u>Harold uses the binomial theorem to expand the binomial </u>(3x^5 -\dfrac{1}{9}y^3)^4<u />

<u>(a)    What is the sum in summation notation that he uses to express the expansion? </u>

<u>(b)    Write the simplified terms of the expansion.</u>

Answer:

(a). (3x^5 -\dfrac{1}{9}y^3)^4=$$\sum_{k=0}^{n}  \binom{4}{k}(3x^5)^{4-k}( -\dfrac{1}{9}y^3)^k $$

(b).(3x^5 -\dfrac{1}{9}y^3)^4=81x^{20}-12x^{15}y^3+\dfrac{2x^{10}y^6}{3}-\dfrac{4x^5y^9}{243}+\frac{y^{12}}{6561}

Step-by-step explanation:

(a).

The binomial theorem says

(x+y)^n=$$\sum_{k=0}^{n}  \binom{n}{k}x^{n-k}y^k $$

For our binomial this gives

\boxed{(3x^5 -\dfrac{1}{9}y^3)^4=$$\sum_{k=0}^{n}  \binom{4}{k}x^{4-k}y^k $$}

(b).

We simplify the terms of the expansion and get:

$$\sum_{k=0}^{n}  \binom{4}{k}(3x^5)^{4-k}y^k $$= \binom{4}{0}(3x^5)^{4-0}(-\dfrac{1}{9}y^3 )^0+\binom{4}{1}(3x^5)^{4-1}(-\dfrac{1}{9}y^3 )^1+\\\\\binom{4}{2}(3x^5)^{4-2}(-\dfrac{1}{9}y^3 )^2+\binom{4}{3}(3x^5)^{4-3}(-\dfrac{1}{9}y^3 )^3+\binom{4}{4}(3x^5)^{4-4}(-\dfrac{1}{9}y^3 )^4

$$\sum_{k=0}^{n}  \binom{4}{k}(3x^5)^{4-k}(-\frac{1}{9}y^3 )^k $$= (3x^5)^{4}+4(3x^5)^{3}(-\frac{1}{9}y^3 )+6(3x^5)^{2}(-\frac{1}{9}y^3 )^2+\\\\4(3x^5)(-\frac{1}{9}y^3 )^3+(-\frac{1}{9}y^3 )^4

\boxed{(3x^5 -\dfrac{1}{9}y^3)^4=81x^{20}-12x^{15}y^3+\dfrac{2x^{10}y^6}{3}-\dfrac{4x^5y^9}{243}+\frac{y^{12}}{6561}   }

3 0
3 years ago
Other questions:
  • Write an expression that gives the area of the shaded region in the figure.
    14·2 answers
  • GUYS PLEASE HELP ME!!
    8·1 answer
  • Solve for x in the equation x + 10 = 15.
    12·2 answers
  • 150% of what number is 186
    14·1 answer
  • Given the two sets, what is A ∩ B ? <br><br> A = {1, 2, 3, 4, 5, 6}<br><br> B = {2, 3, 5, 7}
    6·1 answer
  • Blake’s balance in his checking account at the beginning of the month was $42.68. Blake’s bank statement for this month showed t
    9·1 answer
  • A cylinder has a volume of 321 cubic units. If a cone has the same height and radius as the cylinder, what is the volume in cubi
    8·2 answers
  • 4,464 divided by 18<br> Please and thanks
    10·2 answers
  • Which of the following graphs is described by the function given below?
    10·2 answers
  • Need answer asap! Which set of points would result in a slope of 1/4?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!