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trasher [3.6K]
3 years ago
12

Jake is comparing the prices of two laundry service companies. Company A charges $20 per load and an additional $8 as service ch

arges. Company B charges $24 per load and an additional $4 as service charges. Part A: Write equations to represent Company A and Company B's total laundry charges for a certain number of loads. Define the variable used in the equations. (10 points) Part B: Which company would charge less for 5 loads of laundry? Justify your answer. (8 points) Part C: How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry? (first person to actually properly answer this gets brainliest)
Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

...

Step-by-step explanation:

...

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\displaystyle  \\ 
 \frac{200}{600} =   \frac{2}{6} =  \frac{1}{3} = 0,(3) =  \frac{33,(3)}{100} = \boxed{33,(3)\%}



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What is the gcf of 66xy and 30x2y?
Schach [20]

Answer:

66yx , 30x2y, hope its right :)

Step-by-step explanation:

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2 years ago
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 deg
julia-pushkina [17]

Answer:

Approximately 101\; \rm ft (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

  • Let \rm O denote the observer.
  • Let \rm A denote the top of the tree.
  • Let \rm R denote the base of the tree.
  • Let \rm B denote the point where line \rm AR (a vertical line) and the horizontal line going through \rm O meets. \angle \rm B\hat{A}R = 90^\circ.

Angles:

  • Angle of elevation of the base of the tree as it appears to the observer: \angle \rm B\hat{O}R = 51^\circ.
  • Angle of elevation of the top of the tree as it appears to the observer: \angle \rm B\hat{O}A = 57^\circ.

Let the length of segment \rm BR (vertical distance between the base of the tree and the base of the hill) be x\; \rm ft.

The question is asking for the length of segment \rm AB. Notice that the length of this segment is \mathrm{AB} = (x + 20)\; \rm ft.

The length of segment \rm OB could be represented in two ways:

  • In right triangle \rm \triangle OBR as the side adjacent to \angle \rm B\hat{O}R = 51^\circ.
  • In right triangle \rm \triangle OBA as the side adjacent to \angle \rm B\hat{O}A = 57^\circ.

For example, in right triangle \rm \triangle OBR, the length of the side opposite to \angle \rm B\hat{O}R = 51^\circ is segment \rm BR. The length of that segment is x\; \rm ft.

\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}.

Rearrange to find an expression for the length of \rm OB (in \rm ft) in terms of x:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}.

Similarly, in right triangle \rm \triangle OBA:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}.

Equate the right-hand side of these two equations:

0.810\, x \approx 0.649\, (x + 20).

Solve for x:

x \approx 81\; \rm ft.

Hence, the height of the top of this tree relative to the base of the hill would be (x + 20)\; {\rm ft}\approx 101\; \rm ft.

6 0
3 years ago
Which undefined term is used to define an angle ?
9966 [12]

the answer will be point

8 0
3 years ago
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Rachel cut a whole banana into 6 pieces and then ate all the pieces. She put a point on a number line to show how much she ate.
zavuch27 [327]

Answer:

I can't see the number line but I assume the fraction would be 6/6

8 0
2 years ago
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