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Alex_Xolod [135]
3 years ago
14

You make a tape of your friend's three favorite TV shows: a comedy, a drama and a reality

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer:

comedy = 2

drama = 4

reality = 1

Step-by-step explanation:

comedy  = 30min

denote as "c"

drama = 60min

denote as "d"

reality = 60min

denote as "r"

write in English

(30min of c) + (60 min of d) + (60min of r) totals to 360 min

translate to mathematics

(30c) + (60d) + (60r) = 360

we also know that there is a total of seven episodes

so we can say

c + d + r = 7

and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that

d = 2c

now there is a system of equations

30c + 60d + 60r = 360

c +d + r = 7

d = 2c

all we know have to do is simplify and solve

substitute in the second equation, into the first

c + d + r = 7

d = 2c

c + 2c + r = 7

simplify

3c + r = 7

r = 7 - 3c

substitute this into the first equation

d = 2c

r  = 7 -3c

30c + 60d + 60r = 360

30c + 60(2c) + 60(7 - 3c) = 360

distribute

30c + 120c + 420 - 180c = 360

simplify

-30c + 420 = 360

      -420       -420

-30c = -60

c = 2

substitute back into the other equations and solve

d = 2c

d = 2 *2

d = 4

r = 7 - 3c

r = 7 - 3 * 2

r = 7 -6

r = 1

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Operations
Charra [1.4K]

Answer:

More Than

Step-by-step explanation:

According to the given statement:

This year the club earned $20  more than twice what it earned  last year. Let x represent the amount  raised last year.

The two words in this problem which tell us about the operation are "More Than"

This year club earned $20 more than than twice it earned last year. This means, to find the earnings of this year, double the earnings of previous year and add 20 to them.

Since, x represents the earnings of last year, we can represent the earnings of this year as:

Twice of x + 20

2x + 20

5 0
3 years ago
Please help me with Questions 1 and 3 thank you
notka56 [123]

1) In a proportion: y/x=k

k is your constant of proportionality.

x is your independent variable and y is your dependent variable.

Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.

So k=1.5   (3/2)

3)

a) y/x as a showed above. This question is very similar to #1.

b) y/x=k

5 0
3 years ago
The sum of two consecutive even integers is -94
horrorfan [7]

These must be - 48 and -46  Answer

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3 years ago
Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while check
kobusy [5.1K]

Answer:

Total charge per month = $ 16 + (0.08) * x

equation for having same charge

0.08 x - 0.12 y = 8

Step-by-step explanation:

Part 1:

Monthly fee = $ 16

Per check fee = $ 0.08

Checks signed in month = x

Total Charge monthly = Monthly fee + Checks fee

Putting the values

Total charge per month = 16 + (0.08) * x             ...........(i)

Part 2: Let she signs y checks for account B

Monthly fee of B = $ 14

per check fee = @ 0.12

Total Charge = monthly fee + checks fee

                     =  $ 14 + y *(0.12)                         ..................(ii)

For having same value in the bank then equation (i) and  (ii) shuld be equal to each other

i.e.

16 + 0.08x = 24 + 0.12y

0.08 x - 0.12 y = 24-16

0.08 x - 0.12 y = 8

this will be the equation

4 0
3 years ago
*THIS QUESTION IS WORTH 80 POINTS TO WHOEVER CAN GIVE ME THE SOLUTION AND ANSWER TO THIS QUESTION:*
Morgarella [4.7K]

Answer:

there were 18 adult tickets were sold and 54 kid tickets were sold so there were 72 tickets sold

Step-by-step explanation:

15 x 18 = 270 x 3 = 810

or if lower 15 x 17 = 255 x 3 = 765

7 0
3 years ago
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