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castortr0y [4]
3 years ago
11

A television company charges $60 for the first half-hour of work and $40 for each additional hour. Blue mountain camp has budget

ed $200 to repair its collection of televisions. For what lengths of a service call will the budget not exceed?
Mathematics
1 answer:
Alexandra [31]3 years ago
4 0

Answer:

For a length of total of  4 hrs,  the budget of $200  will not exceed.

Step-by-step explanation:

Here, the first half hour charge for repairing = $60

The next hour charge  = $40 her hour

Total budget to be spent  by Blue Mountain Camp = $200

Now, here, the cost of 0.5 hour  = $60

So, the amount left after 0.5 hour repair  = $200 - $60 = $140

Let us assume we can hire the service for m hours in $140

Cost of 1 hour charge  = $40

Cost of m hour charge  = m X ( 1 hour charge) = m x ($40) = 40 m

⇒ 40 m = 140

or, m= 140/40 = 3.5, or m = 3.5

⇒ In $140 left, they can get a service of 3.5 hours at $40 per hour.

Now, the total hours of services hired = 0.5 hour in $60 + 3.5 hr in $140

= 0.5 hr + 3.5 hr = 4 hrs

Hence, for a length of total of  4 hrs, the budget of $200  will not exceed.

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Two forces act on an object. The first Force has a magnitude of 400 Newtons and acts at an angle of 30 degrees as measured from
Sedaia [141]

ANSWER

Option D is correct

EXPLANATION

We resolve the forces into component forms.

F_1 = 400 \cos(30) i + 400 \sin(30) j

F_1 = 200  \sqrt{3} i +200j

Also the second is resolved to obtain,

F_2= 280 \cos(135) i + 280 \sin(135) j.

F_2=  - 140 \sqrt{2} i + 140  \sqrt{2}  j

To find the resultant vector, V, We add the corresponding components of the two forces to get:

V=F_1+F_2

\implies \: V = (200  \sqrt{3} - 140 \sqrt{2} )i + (200 + 140 \sqrt{2})j

The correct answer is D.

3 0
3 years ago
The density of apple juice is 1. 04 grams per cm^3
-BARSIC- [3]

Answer:

1,040kg/m³

Step-by-step explanation:

1g/cm³ =1,000kg/m³

1.04g/cm³=?

= 1.04×1000

Density =1,040kg/m³

5 0
2 years ago
Is 1.875 and rational number
jonny [76]

Answer: 1.875 is a rational number because it can be represented as a ratio or a fraction.

6 0
3 years ago
3) Consider the sequence -11 ; 2sin3x ; 15; ...
DiKsa [7]

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

  2sin(3x) = (-11 +15)/2

  sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

  x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

8 0
3 years ago
Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation
ruslelena [56]
<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

Therefore,

y = 2(30) +3 = 60+3 = 63.

<h3>So, Juanita spend $63 on groceries if she spent $30 on transportation.</h3>
7 0
3 years ago
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