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MAXImum [283]
3 years ago
13

A consumer has $100 per day to spend on product A, which has a unit price of $7, and product B, which has a unit price of $15. W

hat is the slope of the budget line if good A is on the horizontal axis and good B is on the vertical axis?
Mathematics
1 answer:
kifflom [539]3 years ago
4 0

Answer:

-15/7

Step-by-step explanation:

Let B(x1, y1) be on vertical (y-axis) then B = (0, 15) and

A(x2, y2) be on horizontal (x-axis) then A = (7, 0).

Now, slope = (y2 - y1)/(x2 - x1)

then slope = (0 - 15)/(7 - 0)

=> slope = (-15)/7

slope of the budget = -15/7

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Match the proof part 1:​
konstantin123 [22]

Answer:

A, B, C

Step-by-step explanation:

Step 1: "AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D"

A. Given.

This is the information that was given in the problem statement.

Step 2: "ΔABC ≅ ΔDEF"

B. Side-Angle-Side Postulate (SAS)

The SAS postulate says that if two triangles have a pair of congruent angles between two pairs of congruent sides, then the triangles must be congruent.  From the previous step, we can conclude the triangles are congruent.

Step 3: "∠C ≅ ∠F"

C. Corresponding parts of congruent triangles are congruent (CPCTC)

In Step 2, we established the triangles are congruent.  So now we can conclude that the corresponding angles are congruent.

3 0
4 years ago
It takes a ship 3 hours to cover 72 km with the current and 4 hours against the current. Find the speed of the ship in still wat
earnstyle [38]
X- speed of the ship in still water
a- speed of current
(x+a)- speed with current
(x-a) - speed against current

(x+a)*3=72
(x-a)*4=72

      x+a=24
<u>+    x-a=18
</u>    2x    =42
      x = 21

x+a=24,    21+a=24,    a=3

The speed of the ship in still water = 21 km/h, 
the  speed of the current =3 km/h.
5 0
3 years ago
Read 2 more answers
The value of a book is $150 and decreases at a rate of 4% per year. Find the value of the book after 12 years
nevsk [136]
If it decreases at 4% every year, then its value becomes:

100% - 4% = 96% = 96/100 = 0.96

At the end of the 1 year its value becomes:  150*(0.96)

At the end of the 2 years its value becomes:  150*(0.96)*(0.96) = 150*(0.96)²

At the end of the 3 years its value becomes:  150*(0.96)*(0.96)*(0.96) = 150(0.96)³

So similarly at the end of 12 years, its value becomes 150*(0.96)¹²

=50*(0.96)¹²    simplify with calculator.

<span>≈ 91.91

Value at the end of 12 years becomes ≈ $</span><span>91.91

I hope this helps.
</span>
8 0
3 years ago
The amount of protein a person needs each day is proportional to his or her weight. Rod weighs 165 pounds and needs 60 grams of
lukranit [14]
The equation for this would be: \frac{60}{165}=  \frac{x}{220}. first you want to multiply 60 by 220, then divide the product by 165.  60 times 220 is 13,200.  Now divide 13,200 by 165.  This will give you 80.  Todd has to eat 80 grams of protein each day to stay healthy.
6 0
3 years ago
The quote for USD/CHF is listed as 1.4481/88 as shown. How many Swiss francs does it cost to buy 1 U.S. dollar?
ozzi
1.4488: I hope this helps. :)
7 0
3 years ago
Read 2 more answers
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