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stira [4]
4 years ago
12

The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the

animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75.
If the Shaw family had 3 people in their vehicle, how much did they pay?

$2.50$7.50$12.75$17.25
Mathematics
2 answers:
poizon [28]4 years ago
5 0

Answer:

Correct answer is (C) $12.75

Step-by-step explanation:

Cost of the tour = $5.25 + cost per person(Number of persons)

Let the additional amount for each person in the vehicle by x.

There are 7 people in Skubic family.

So, cost for them = 5.25 + 7x

The total amount they paid = $22.75.

Then, for Skubic family, the cost equation is:

5.25 + 7x = 22.75.

7x = 22.75 - 5.25

= 17.5

x = 17.5/7

= 2.5

Now, there are 3 people in Shaw family.

So, cost for them = 5.25 + 3x

But, x = 2.5

Hence, total cost for Shaw family = 5.25 + 3(2.5)

= 12.75

Hence, the correct answer is (C) $12.75.

Ludmilka [50]4 years ago
4 0
The answer is 12.75 hope this helps.
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Behind my math class help pls
vladimir2022 [97]

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

4x - 11 = 54

adding 11 to both sides

4x - 11 + 11 = 54 + 11

4x = 65

dvide both sides by 4

4x/4 = 65/4

x = 16.2500    (round to 4 decimal places)

Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

  • m∠1 = 93.5°
4 0
3 years ago
Maura receives a 3% commission on every piece of furniture she sells. one day she sold a couch for $950. How much was her commis
Ad libitum [116K]

3%=3/100=0.03

950 multiplied by 0.03=28.5

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harkovskaia [24]
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Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.​
fomenos

the explicit formula for aₙ the nth term of the sequence will be:a_{n}=6\times (\frac{2}{3})^{n-1}\\

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

a_{n}=a_{1}r^{n-1}

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

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Putting values in the formula:

a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\

So, the explicit formula for aₙ the nth term of the sequence will be: a_{n}=6\times (\frac{2}{3})^{n-1}\\

Keywords: Explicit formula for geometric sequence

Learn more about Explicit formula for geometric sequence at:

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