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prohojiy [21]
3 years ago
5

Mr. Carter and Ms. Torres need two buses to drive their classes to the amusement perk. Each class needs money to rent a bus and

$20 to tip the driver. The two classes together raised $240. How much money can they spend on each bus rental?
Mathematics
2 answers:
Levart [38]3 years ago
4 0
20x2 = 40 tip

240-40 = 200 rent for 2 busses

240/2 = 100 $ they can spend on each bus rental.
Ainat [17]3 years ago
4 0

Answer:

$100

Explanation:

Since they are renting 2 buses, they will need 2 bus drivers.  They will tip each driver $20; this will be a total of 2(20) = $40.  

This means they will have $240-$40 = $200 left for the buses.

They will be renting 2 buses; this gives them 200/2 = $100 for each bus.

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Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations
11Alexandr11 [23.1K]

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

4 0
3 years ago
a data set has a mean of 68 and standard deviation of 6. An element in this set is 51. What is z-score for 51? Round your answer
gogolik [260]

z = -2.83

<u>Explanation:</u>

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}

Substituting the value we get:

z = \frac{51-68}{6} \\\\z = -2.83

A negative z score says that the data point is below average.

4 0
3 years ago
For the function given, state the middle line; f(t) = 40cos (80t + 20)
Digiron [165]

In the standard form of the equation

\\ \ f(t)=Acos[b(t\pm c)]+k\\ \\

The middle line =k

For our given problem

f(t) = 40cos (80t + 20)

On comparison we get k=0

Hence middle line=0

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Answer:

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Step-by-step explanation:

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