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scZoUnD [109]
2 years ago
8

A bottle of water costs $1.50. Explain how you would make a graph of four ordered pairs to model the total cost of the water in

terms of the number of bottles.
Mathematics
2 answers:
Vanyuwa [196]2 years ago
7 0
Total cost = 1.50 per bottle
y = 1.50x
If x = 1, y = $ 1.50 (1,1.5)
If x = 2, y = $ 3.00 (2,3)
If x = 3, y = $ 4.50 (3, 4.5)
If x = 4, y = $ 6.00 (4, 6)
There are your 4 sets of ordered pairs to graph.
You could continue with more x-values to get more ordered pairs.
laila [671]2 years ago
5 0

(Sample answer) Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).

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What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?​
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Answer: 70.47%

100% - 13% = 87%

19% of 87% = 16.53%

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Ken’s predicted temperature for April is 7ºC. His prediction for May is 2ºC higher than April. He used the number line to solve
tia_tia [17]

Answer: Ken Should have moved 9 units to the right because his prediction for May is 9°C. Moving to the left part of the number line would take Ken into negative degrees. 9°C is warmer than 7°C. Therefore, Ken should have moved 9 units to the right of the number line instead of 2 units to the left.


Step-by-step explanation:


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2 years ago
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Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinat
Fiesta28 [93]

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

T(4,5)

Step-by-step explanation:

Given

x = \frac{1}{2}(6 - 2) + 2

y = \frac{1}{2}(4 - 6) + 6

Required

Determine the coordinates of T

The coordinates of T can be represented as T(x,y)

To do this, we simply solve for x and y

x = \frac{1}{2}(6 - 2) + 2

Solve 6 - 2

x = \frac{1}{2}*4 + 2

Solve 1/2 * 4

x = 2 + 2

x = 4

y = \frac{1}{2}(4 - 6) + 6

Solve 4 - 6

y = \frac{1}{2}*-2 + 6

Solve 1/2 * -2

y = -1 + 6

y = 5

Hence, the coordinates of T(x,y) is:

T(x,y) = T(4,5)

5 0
2 years ago
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A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5
balu736 [363]
Hello,

f(1)=120\\
 f(2)=-\frac{1}{2}*120=-60\\ 
 f(3)=-\frac{1}{2} *(-60)=30\\ 
 f(4)=-\frac{1}{2} *(30)=-15\\ 
 f(5)=-\frac{1}{2} *(-15)=\frac{15}{2}\\

3 0
2 years ago
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i
jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

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