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Lina20 [59]
3 years ago
6

Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they w

eighed 3.8 pounds, and cost $5.84. Let p represent the number of pounds of apples Troy purchased. Which equation represents the problem described here?
A. 1.15p + 2.85 = 3.8

B. 1.9p + 0.75 = 3.8

C. 1.15p + 2.85 = 5.84

D. –1.15p + 2.85 = 5.84
Mathematics
1 answer:
olga_2 [115]3 years ago
7 0

Answer:

  C.  1.15p + 2.85 = 5.84

Step-by-step explanation:

The equation above is not one you'd start off with to represent this problem. It is an intermediate step in the solution.

You can get there by realizing that the number of pounds of bananas is 3.8-p. Then the cost of the bananas is ...

  banana cost = 0.75·(3.8-p) = 2.85 - 0.75p

Of course, the cost of apples is 1.90p. The total cost is then ...

  apple cost + banana cost = total cost

  1.90p + (2.85 -0.75p) = 5.84

Simplifying, this becomes ...

  1.15p + 2.85 = 5.84 . . . . . . . . . . . . matches selection C

You might be interested in
If RV = x+6, US = 5x-9, and RS = 11, find VT and ST
masha68 [24]

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

The given parameters:

  • <em>RV = x + 6</em>
  • <em>US = 5x - 9</em>
  • <em>RS = 11</em>

The value of VT and ST is calculated as follows;

<em>from the given </em><em>diagram </em><em>we can conclude the following;</em>

2RV = RT = US

2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56

Learn more about Pythagoras theorem here:  brainly.com/question/12306722

6 0
3 years ago
- 30 = 5 ( x + 11 ) x =
pishuonlain [190]
X is -17
- 30 =5(x + 11) \\  - 30 = 5x + 55 \\ 5x =  - 30 - 55 =  - 85
x =  \frac{ - 85}{5}  =  - 17






good luck
4 0
3 years ago
What happens if a number isnt divisble by anything?
Alekssandra [29.7K]
It should just be left alone most likely zero
7 0
3 years ago
Help plz will give brainliest
Ilia_Sergeevich [38]

Answer:

k.

Step-by-step explanation:

7 0
3 years ago
Can someone help<br> With this questions please
Evgesh-ka [11]
Question # 28

We can use any two points to find the equation of the total cost(y) in terms of number of square feet(x).

I will be using first two points (1800, 630) and (2300, 805)

First we need to find the slope of the line.

Slope=m= \frac{805-630}{2300-1800}=0.35

Using the slope and a point (1800, 630) we can write the equation as:

y - 630 = 0.35 (x - 1800)

y = 0.35x - 630 + 630

y = 0.35x

So, option G gives the correct equation of the function.

Question # 29

Given function is:

y = 3.54x - 54.68

Increasing the y-intercept by 33.14 will result in following equation:

y = 3.54x - 54.68 + 33.14 
y = 3.54x - 21.54

Notice that the slope of the lines are still the same. This suggest the lines are parallel. Addition or subtraction of a number to y-intercept only shifts the graph vertically. So in this case the graph will be shifted up by 33.14 units and will be parallel to the original line. Since graph is shifted up, its y-intercept will also be shifted up i.e. y-intercept will increase. 

x-intercept is the point where y is zero. So substituting y=0 in both equations and finding the value of x will result in x-intercepts. The x-intercept decreases on shifting up the y-intercept in this case.

So, the only correct option is option A

5 0
3 years ago
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