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erastova [34]
1 year ago
5

f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the column

s? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2. please hurry im in a rush
Mathematics
1 answer:
olasank [31]1 year ago
3 0

The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:

20 would be in the column for 2, and 60 would be in the column for 6.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:

y = kx

The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:

k = 6/2 = 3.

Hence the equation is:

y = 3x.

The values given by each column are given as follows:

  • Column 2: values of x.
  • Column 6: values of y.

When x = 20, the numeric value of the relationship is of:

y = 3 x 20 = 60.

Hence the first option is correct.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

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The cost for two different companies to make x candles is shown on the graph.
tia_tia [17]

Answer:

D) Quick Wick will make more candles when the cost is $600.

Step-by-step explanation:

Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.

✔️Wax Art:

m = change in y/change in x

Using (10, 140) and (20, 180),

m = (180 - 140)/(20 - 10) = 40/10

m = 4

Cost per candle = $4

To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b

140 = 4(10) + b

140 = 40 + b

140 - 40 = b

100 = b

b = 100

Initial value = $100

To get the equation, substitute m = 4 and b = 100 into y = mx + b

y = 4x + 100

✔️Quick Wick:

m = change in y/change in x

Using (10, 120) and (30, 180),

m = (180 - 120)/(30 - 10) = 60/20

m = 3

Cost per candle = $3

To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b

120 = 3(10) + b

140 = 30 + b

120 - 30 = b

90 = b

b = 90

Initial value = $90

To get the equation, substitute m = 3 and b = 90 into y = mx + b

y = 3x + 90

Let's analyse each option given using the information we now have:

✔️Option A: INCORRECT

Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.

✔️Option B: INCORRECT

Difference between the initial value sof the two companies = $100 - $90 = $10

✔️Option C:

Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:

Wax Art => y = 4x + 100

y = 4(50) + 100

y = $300

Wax Art will make 50 candles for $300

Quick Wick => y = 3x + 90

y = 3(50) + 90

y = $240

Quick Wick makes 50 candles for $240

As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.

Therefore, option C is INCORRECT.

✔️Option D: find out how many candles (x) each company will make when the cost is $600.

Substitute y = 600 in each equation of both companies

Wax Art => y = 4x + 100

600 = 4x + 100

600 - 100 = 4x

500 = 4x

500/4 = x

x = 125 candles

Quick Wick => y = 3x + 90

600 = 3x + 90

600 - 90 = 3x

510 = 3x

510/3 = x

x = 170 candles

Quick Wick will make more candles when he cost is $600.

Therefore, option D is the only CORRECT statement of comparison.

6 0
2 years ago
A glass is 1/3 full.
Setler79 [48]

Answer:

216 cm³

Step-by-step explanation:

1/3x + 63 = 5/8x

subtract 1/3x from each side; (1/3x = 8/24x  and  5/8x = 15/24x)

63 = 7/24x

7x = 63(24)

7x = 1512

x = 216

4 0
3 years ago
8 is the difference of d and 3.75
maria [59]

Answer:

11.75

Step-by-step explanation:

From the question above 8 is the difference of d and 3.75

We are required to find the value of d

d-3.75= 8

d= 8 + 3.75

d= 11.75

Hence the value of d is 11.75

7 0
2 years ago
11.15+11.75+10.70 I need some help with this problem
Nina [5.8K]

Answer:

33.60 is your answer

Step-by-step explanation:

Remember to add based on place value.

Note that 10.70 is the same as 10.7

11.15 + 11.75 = 22.90

22.90 + 10.7 = 33.60


<em>~Senpai</em>

3 0
3 years ago
Read 2 more answers
Why couldn't you add the<br> feet, yards, and centimeters<br> together?
I am Lyosha [343]
It’s not possible because it needs to be convicted to feet then yards then centimeter but you can add it you will get something way different I tried before
8 0
2 years ago
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