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Papessa [141]
3 years ago
14

Sophia's school took a field trip. a total of 21 vehicles were needed for the trip. some students took the bus, and some student

s car-pooled. there were 30 people on each bus and 4 people in each car. 318 people altogether attended the trip. how many buses were needed for the trip?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0
Let x be the number of buses, and y the number of cars.
\left \{ {{x+y=21} \atop {30x+4y=318}} \right.
We can solve for y in the first equation to get:
y=21-x
Now we can replace 21-x in our second equation, and solve for x:
30x+4(21-x)=318
30x+84-4x=318
26x=234
x= \frac{234}{26}
x=9

We can conclude that 9 buses were needed for the trip.
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I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25
juin [17]

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

3 0
3 years ago
An equation is shown.<br> f(w) = 2<br> +6<br> Find f(-16).
Nikitich [7]

Answer: f(-16) = -26

Step-by-step explanation: Let's substitute:

f(w) = 2w + 6 --> f(-16) = -32 + 6 =

f(-16) = -26
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7 0
1 year ago
Find f(-2) if f(x)=4x^2+3x-5
valentina_108 [34]

Answer:

f(-2) = 5

Step-by-step explanation:

To find f(-2), plug in -2 wherever there is an x.

f(x) = 4x² + 3x - 5

f(-2) = 4(-2)² + 3(-2) - 5

f(-2) = 4(4) + 3(-2) - 5

f(-2) = 16 - 6 - 5

f(-2) = 10 - 5

f(-2) = 5

3 0
3 years ago
Given that 6.00 Ghanaceasa dolar
mash [69]

Answer:

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4 0
3 years ago
Thanks for ur smart brains i gave all my points to u have fun
aev [14]

Answer:

the answer is B.

Step-by-step explanation:

30/5 is 6

8 0
3 years ago
Read 2 more answers
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