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nataly862011 [7]
3 years ago
5

Aldrine is buying coffee for his coworkers. He orders small and large coffees. Small coffees

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Let small cups = S

Large cups = L

They bought a total of 8 cups, so S + L = 8

Rewrite as S = 8-L (1st equation)

Then you also have

$3S + $5L = $30 (2nd equation)

Replace the S in the second equation with the first equation:

$3(8-L) + $5L = $30

Simplify:

24 - 3L + 5L = 30

Combine like terms:

24+2L = 30

Subtract 24 from both sides:

2L = 6

Divide both sides by 2:

L = 3

They bought 3 large cups

Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)

Large = 3 cups, Small = 5 cups

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bixtya [17]

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

<u><em>Explanation</em></u>

Suppose, they need to work for x minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that x minutes =\frac{x}{5} and the number of boxes packed by Trudy in x minutes =\frac{x}{7}

Given that, Selma and Trudy have already packed 12 and 18 boxes.

Now if <u>each of them packed the same number of boxes</u>, then the equation will be......

12+\frac{x}{5}=18+\frac{x}{7}\\ \\ \frac{x}{5}-\frac{x}{7}= 18-12\\ \\ \frac{7x-5x}{35}=6\\ \\ \frac{2x}{35}=6\\ \\ 2x= 210\\ \\ x= \frac{210}{2}=105

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.

6 0
3 years ago
Write a vector equation of the line that passes through p(–1 6) and is parallel to a = (3, -1).
Phoenix [80]

Answer:

C

Step-by-step explanation:

(x,y) = p + t(a)

(x,y) = (-1,6) + t(3,-1)

(x,y) - (-1,6) = t(3,-1)

(x + 1, y - 6) = t(3, -1)

7 0
3 years ago
Read 2 more answers
15) A new BMW decreases in value exponentially after it is purchased. If a new BMW is valued at $55,000 and
tia_tia [17]

The values of BMW after 2 years and 4 years  according to the EXPONENTIAL FUNCTION are $33,462 and $20,358.28

Using the parameters given, we define an decreasing exponential function :

A = A_{0} (1 - r)^{t}

Where,

A_{0} = initial amount ; r = Rate ; t = time ; A = final amount

Value after 2 years :

t = 2

A = 55000(1 - 0.22)²

A = 55000(0.78)²

A = $33,462

Value after 4 years :

t = 4

A = 55000(1 - 0.22)^4

A = 55000(0.78)^4

A = $20,358.28

Therefore, the value of BMW after 2 years and 4 years $33,462 and $20,358.28 respectively.

Learn more :

brainly.com/question/14355665

8 0
3 years ago
Trish is ordering t-shirts from a website that charges a certain amount per t-shirt plus a flat rate for shipping. The cost for
Lera25 [3.4K]

Answer:

20a. y = 8.75x - 5.99

20b. slop is the cost of each shirt.

20c. I am not to sure on this one so I am going to guess that it means payment to enter the shop.

Step-by-step explanation:

5 0
3 years ago
Michael needs at least $200 to buy airpods. He already has $50. If he saves $15 each week, how many weeks will it take for Micha
DerKrebs [107]

Answer:

it will take him 3 weeks to reach is goal.

Step-by-step explanation:

if michael needs $200 and he already has 50 then 200-50 is 150. then you divide 150 divided by 15 to get 3

hopethis helped.

3 0
2 years ago
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