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Vsevolod [243]
3 years ago
6

A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans. The total cost to clean

six rooms is $250 and the total cost to clean eight rooms is $320. How much would this company charge to clean two rooms?
Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Answer:

$110

Step-by-step explanation:

Let the fixed amount charged be f and the amount charged to clean a room be r.

To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.

Writing this in equation form,

f + 6r = 250

In likewise manner, same applies for 8 rooms.

this gives f + 8r = 320

We now have 2 equations that we will need to solve simultaneously

f + 6r = 250........(i)

f + 8r = 320........(ii)

We subtract equation ii from I to yield

2r = 70, hence r = 70/2 = 35.

We now substitute this in equation 1

f + 6(35) = 250

f + 210 = 250

f = 250 - 210 = 40

Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.

We now calculate the amount charged by the company to clean 2 rooms.

This is mathematically = f + 2r

40 + 2(35) = $110.

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Hope this helps
8 0
2 years ago
With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m
Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)] denotes the vector of coordinates of T(v_i) respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if T(v_i)=a_1w_1+a_2w_2+a_3w_3 then [T(v_i)]=(a_1,a_2,a_3)^t.

Note that we have all the required information: T(v_1)=0w_1+1\cdot w_2+0w_3 then [T(v_1)]=(0,1,0)^t

T(v_2)=T(v_3)=1\cdot w_1+0w_2+0w_3 hence [T(v_2)]=[T(v_3)]=(1,0,0)^t

The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

T(v_1+v_2+v_3)=T(v_1)+T(v_2)+T(v_3)=w_2+w_1+w_1=w_2+2w_1  

In this last case, we can either use the linearity of T or multiply by A.

4 0
3 years ago
Solve r + (-8) = 10<br><br> ———————-
Yuliya22 [10]

Answer:

r = 18

Step-by-step explanation:

r -8 = 10

r -8 + 8 = 10 + 8

r = 18

4 0
3 years ago
Which equation could be used to solve problems involving the relationships between the angles?
Salsk061 [2.6K]

Answer:

B

Step-by-step explanation:

The answer is B I just had this question

8 0
3 years ago
Nora and Eli are making homemade spring rolls for a party. Nora can make 8 spring rolls in 10 minutes. Eli can make 10 spring ro
devlian [24]
Eli will finish first.

Use 8/10 and 10/12. This represents how many spring rolls over how many minutes. Make your equations like this: 8/10 = 40/x and 10/12 = 40/x. Find x, which will give you the minutes it takes them to make 40 rolls.

You get x = 50 for the first one and x = 48 for the second. Nora makes 40 rolls  in 50 minutes, and Eli makes 40 rolls in 48 minutes. Eli is faster. 

Hope this helped! Please mark me brainliest!
4 0
3 years ago
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