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ella [17]
3 years ago
9

Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation repr

esenting the budget for the trip is: `240\ =\ 12x+8y`
Select all the true
If no adult chaperones were needed, 30 students could go to the zoo.
If ten students go to the zoo, then 15 adults can go.
If four more adults go to the zoo, that means there will be room for six fewer students.
If two more students go to the zoo, that means there will be room for three fewer adults.
If 16 adults go to the zoo, then 6 students can go.
Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer:

2 answers are true

Step-by-step explanation:

If no adult chaperones were needed, 30 students could go to the zoo. Is true

If 16 adults go to the zoo, then 6 students can go. Is also true

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Question 14 (1 point)
Trava [24]

Answer:

150 = x

Step-by-step explanation:

We can use a ratio to solve

100 batches          x batches

------------------- = ---------------------

8 hours                12 hours

Using cross products

100 * 12 = 8x

1200 = 8x

Divide by 8

1200/8 = 8x/8

150 = x

8 0
3 years ago
Read 2 more answers
In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
2 years ago
Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle
mrs_skeptik [129]

Answer:

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Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

then arc cosine 0.8926  which may be expressed as cos-1 0.8926 will give the value of B.

B = cos-1 0.8926

= 26.8°

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Answer:

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Step-by-step explanation:

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