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gtnhenbr [62]
3 years ago
9

Jocelyn and Madelyn go to the movie theater and purchase refreshments for their friends.

Mathematics
1 answer:
Alik [6]3 years ago
7 0

let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:

2p + 3d = 18.25

4p + 2d = 27.50

From this, we can use substitution or elimination to solve:

For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.

For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:

-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50

4p  + 2d = 27.50

-4d = -9.00

d = 2.25

4p + 2 * 2.25 = 27.50

4p + 4.50 = 27.50

4p = 23.00

p = 5.75

Now let's check our answer:

2 * 5.75 + 3 * 2.25 = 18.25

11.50 + 6.75 = 18.25

18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

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It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
AysviL [449]

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

540 = ??? pages

So there are 540 pages in his favourite book.

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3 years ago
What is the answer 3x+15=8x
Art [367]

Answer:

3x +15 = 8x

5x = 15

x = 3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Hi I need this asap if you also explain the work on how you got answers plz and thank you<br>​
weeeeeb [17]

Answer:

<u>Q/ Draw a line ; Ans; </u>

\frac{9}{5}  —>1 \frac{4}{5}

*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .

Ans; 7/3—> 2 1/3

*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .

Ans; 12/10 —> 1 1/5

*explain; simple (12 and 10) ÷ 2 so equal 6/5

We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .

\frac{12 \div 2}{10 \div 2}  =  \frac{6}{5}  = 1 \frac{1}{5}

<u>Q/ Compare the fractions;Ans;</u>

\frac{2}{3}  <  \frac{14}{6}

* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .

\frac{3}{8}  <  \frac{8}{3}

* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .

2  \frac{1}{6}  >  \frac{5}{9}

* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6

13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .

<u>Q/Add; Ans;</u>

\frac{7}{8}  +  \frac{5}{8}  =  \frac{7 + 5}{8}  =  \frac{12}{8}  =  \frac{3}{2}

\frac{1}{9}  +  \frac{2}{3}  \\  \\  \frac{1}{9}  +  \frac{6}{9}  =  \frac{ 1+6 }{9}  =  \frac{7}{9}

<u>Q/Subtract; Ans;</u>

\frac{6}{7}  -  \frac{4}{7}  =  \frac{6 - 4}{7}  =  \frac{2}{7}

\frac{7}{3}  -  \frac{2}{9}  \\  \\  \frac{21}{9}  -  \frac{2}{9}  =  \frac{21 - 2}{9}  =  \frac{19}{9}

<u>Q/ Multiply;Ans;</u>

\frac{1}{5}  \times  \frac{1}{2}  =  \frac{1}{10}

\frac{2}{3}  \times  \frac{3}{8}  =  \frac{6}{24}  =  \frac{1}{4}

<u>Q/Divide;Ans;</u>

\frac{3}{4}  \div  \frac{2}{5}  \\  \\  \frac{3}{4}  \times  \frac{5}{2}  =  \frac{15}{8}

\frac{8}{9}  \div  \frac{1}{3}  \\  \\  \frac{8}{9}  \times  \frac{3}{1} =   \frac{24}{9}  =  \frac{8}{3}

I hope I helped you^_^

5 0
3 years ago
PLEASE HELP ME!John invests $2,975 at 4% interest compounded annually. What will be the balance in the account after 2.5 years?
ch4aika [34]
2975(1+0.04)^2.5=???? Hope it helps :-)
8 0
3 years ago
Read 2 more answers
Can you please explain how to solve this?
BlackZzzverrR [31]

Answer:

18

Step-by-step explanation:

hello,

as this is a parallelogram we can write that BE = DE so

15x + 4 = 9x + 6

<=> 15x - 9x + 4 = 6

<=> 6x = 6 - 4 = 2

<=> x = 2/6 = 1/3

so BE = DE = 15/3+4=5+4=9

so BD = BE + DE = 9 + 9 = 18

the correct answer is 18

hope this helps

7 0
3 years ago
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