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
Yuri [45]
3 years ago
11

For a class picnic two teachers went to the same store to purchase drinks one teacher purchased 18 juice boxes and 32 bottles of

water and spent $19.92 the other teacher Purchased 14 Juice Boxes and 26 Boxes of water and spent $15.76
Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24

<em><u>Solution:</u></em>

Let "j" be the cost of each juice box

Let "w" be the cost of each bottles of water

<em><u>One teacher purchased 18 juice boxes and 32 bottles of water and spent $19.92</u></em>

Therefore, we frame a equation as:

18 x cost of each juice box + 32 x cost of each bottles of water = 19.92

18 \times j + 32 \times w = 19.92

18j + 32w = 19.92 ------ eqn 1

<em><u>The other teacher Purchased 14 Juice Boxes and 26 Boxes of water and spent $15.76</u></em>

Therefore, we frame a equation as:

14 x cost of each juice box + 26 x cost of each bottles of water = 15.76

14 \times j + 26 \times w = 15.76

14j + 26w = 15.76 ----------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 7</u></em>

126j + 224w = 139.44 -------- eqn 3

<em><u>Multiply eqn 2 by 9</u></em>

126j + 234w = 141.84 ---------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

126j + 234w = 141.84

126j + 224w = 139.44

( - ) --------------------

10w = 2.4

Divide both sides by 10

w = 0.24

<em><u>Substitute w = 0.24 in eqn 1</u></em>

18j + 32(0.24) = 19.92

18j + 7.68 = 19.92

18j = 12.24

Divide both sides by 18

j = 0.68

Thus cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24

You might be interested in
I need help what’s the answer?!!? <br><br> No links or files plzz
Wittaler [7]
327.68, 262.144, 209.7152
Multiple the number by 0.8 to get the next number in the series
7 0
3 years ago
Here’s another way to think about the number line model for 2 – (-3): if we were adding 2 + (-3), we’d first move two units to t
CaHeK987 [17]

Subtracting -9 from any number is the same as

<u></u>

<u>A</u>

<u>subtracting 9 from that number.</u>

7 0
3 years ago
Find the domain of the function y = 3 tan(23x)
solmaris [256]

Answer:

\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

In other words, the x in f(x) = 3\, \tan(23\, x) could be any real number as long as x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) for all integer k (including negative integers.)

Step-by-step explanation:

The tangent function y = \tan(x) has a real value for real inputs x as long as the input x \ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

Hence, the domain of the original tangent function is \mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

On the other hand, in the function f(x) = 3\, \tan(23\, x), the input to the tangent function is replaced with (23\, x).

The transformed tangent function \tan(23\, x) would have a real value as long as its input (23\, x) ensures that 23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

In other words, \tan(23\, x) would have a real value as long as x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right).

Accordingly, the domain of f(x) = 3\, \tan(23\, x) would be \mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

4 0
2 years ago
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST WORTH IT
AveGali [126]

64

80               80

thats how you havw to put it

8 0
2 years ago
Read 2 more answers
What is the equation of the line?​
statuscvo [17]

Answer:

x=3

Step-by-step explanation:

try different values on the line! plug them in and you'll see that every x value is 3!

4 0
3 years ago
Read 2 more answers
Other questions:
  • Whats 1/9 divied by 2?
    10·2 answers
  • You can exchange 25 U.S. Dollars for 20 Euros. What is the exchange rate in U.S. Dollars per Euro?
    9·1 answer
  • What is 4.875 expanded into fractions
    6·1 answer
  • Is this a true, is everything correct and how would you graph it.
    13·1 answer
  • Which measurement could be a volume measure?<br><br> 17.9 ft2<br> 25.2 kg<br> 62.5 km<br> 12.4 ft3
    14·2 answers
  • I need help in all of these plz show work thanks
    11·1 answer
  • Help me with this plz
    11·2 answers
  • Please help me i hate doing math work
    15·1 answer
  • Someone plz help me!!
    13·1 answer
  • Find the highest common factor and lowest common factor of 78 and 130
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!